WEBVTT Kind: captions Language: en-US 00:00:01.080 --> 00:00:03.660 [Silence] 00:00:03.660 --> 00:00:09.140 [intermittent beeping] 00:00:09.140 --> 00:00:12.240 Okay, let’s start. 00:00:12.240 --> 00:00:15.200 So, good morning, everyone. Thanks for joining us. 00:00:15.200 --> 00:00:20.540 Please remember to keep your cameras off and your microphones on mute. 00:00:20.540 --> 00:00:25.930 And, at the end of the presentation, you will have a chance to type in your 00:00:25.930 --> 00:00:32.550 questions into the chat – meeting chat, or just unmute yourself and ask. 00:00:32.550 --> 00:00:38.140 If you would like to join our distribution list, my and Kathryn’s 00:00:38.140 --> 00:00:41.060 contacts are on the center web page. 00:00:41.060 --> 00:00:46.220 Email us, and we will add you to the seminar’s distribution list. 00:00:46.220 --> 00:00:50.500 And now I pass it on to Mehmet to introduce today's speaker. 00:00:52.140 --> 00:00:59.000 - Okay. Well, I’m happy to introduce Eduardo today. 00:00:59.000 --> 00:01:03.680 And maybe most of you know, there are … [background noise] 00:01:03.680 --> 00:01:06.620 [inaudible] Mexico [noises in background] … 00:01:06.620 --> 00:01:13.200 [voice inaudible due to background noise] 00:01:13.200 --> 00:01:23.060 … in Mexico. Then, after the [inaudible], he came to UC-Berkeley 00:01:23.060 --> 00:01:26.920 to complete his master’s and Ph.D. degrees. 00:01:29.760 --> 00:01:35.720 He was very much interested in earthquakes, particularly starting 00:01:35.720 --> 00:01:43.860 with the 1985 earthquake which was a very significant event. 00:01:43.860 --> 00:01:51.440 And he’s now at Stanford as a full professor. 00:01:51.440 --> 00:01:56.060 He’s been at Stanford two decades. 00:01:57.840 --> 00:02:09.440 Tom Hanks and I joined this team in 1985 to study the 1985 earthquake, 00:02:09.440 --> 00:02:13.160 and that’s when we first met Eduardo. 00:02:13.160 --> 00:02:19.340 So it was a pleasant surprise to see him back in the Bay Area for his 00:02:19.340 --> 00:02:25.030 graduate degrees and [inaudible]. [multiple beeps and background sounds] 00:02:25.030 --> 00:02:33.630 I want to add that Eduardo is known at Stanford as a earthquake encyclopedia. 00:02:33.630 --> 00:02:39.400 So everybody runs to him for information. 00:02:40.540 --> 00:02:44.420 He is interested in earthquake engineering with emphasis 00:02:44.420 --> 00:02:49.900 on performance-based design and also seismic response studies 00:02:49.900 --> 00:02:53.360 of structures built on soft soil deposits. 00:02:54.740 --> 00:03:00.340 He also has extensive studies done on analysis of records 00:03:00.360 --> 00:03:04.020 from instrumented structures. 00:03:05.560 --> 00:03:09.820 He is not a stranger to the USGS. He has served at the 00:03:09.829 --> 00:03:12.799 ANSS Steering Committee as representative of 00:03:12.799 --> 00:03:15.620 Earthquake Engineering Research Institute. 00:03:15.620 --> 00:03:22.939 And he currently serves also as advisory committee subcommittee member of 00:03:22.940 --> 00:03:28.160 CSMIP, which is California Strong Motion Instrumentation Program. 00:03:28.160 --> 00:03:31.080 And he’s been doing that for 15 years. 00:03:31.080 --> 00:03:36.580 So, in order not to take any more time from his interesting presentation, 00:03:36.580 --> 00:03:42.780 I am sure, so I turn it over to Eduardo. [beep] 00:03:42.780 --> 00:03:45.020 Thank you, Eduardo. 00:03:46.740 --> 00:03:53.300 - Thank you very much, Mehmet, for that nice introduction. 00:03:53.300 --> 00:03:59.520 It’s really a pleasure for me to be part again of this seminar series. 00:03:59.529 --> 00:04:05.739 Unfortunately, I’m not able to do it in person in the new Yosemite room in 00:04:05.740 --> 00:04:11.820 Moffett Field, but I hope, in the near future, to have an opportunity to do that. 00:04:11.820 --> 00:04:16.180 So I’ll start by thanking a number of people. 00:04:16.180 --> 00:04:19.570 Before I would like to thank the John A. Blume Earthquake 00:04:19.570 --> 00:04:24.270 Engineering Center at Stanford University and StEER, who provided 00:04:24.270 --> 00:04:30.540 the funding for us to go to Puerto Rico right after the earthquake. 00:04:30.540 --> 00:04:40.580 And, in particular, the John A. Blume Center, it’s – it was initiated as part 00:04:40.580 --> 00:04:44.640 of an endowment that was left by Dr. Blume and his family. 00:04:44.640 --> 00:04:50.440 And they allow us to fund a number of fellowships and a number of 00:04:50.440 --> 00:04:55.760 very important activities, such as earthquake reconnaissance. 00:04:55.760 --> 00:05:01.640 I also would like to thank, you know, of course, USGS for the hospitality to 00:05:01.640 --> 00:05:08.600 participate in this – in this seminar, in particular Mehmet Celebi, Kathryn, 00:05:08.600 --> 00:05:12.680 Noha, and Susan, who have been, you know, taking care of 00:05:12.690 --> 00:05:16.980 all the logistics aspects of this seminar. 00:05:16.980 --> 00:05:21.740 We originally were going to do it in person back in March, and then 00:05:21.740 --> 00:05:24.340 unfortunately it got postponed, and fortunately now we’re 00:05:24.340 --> 00:05:28.500 able to do it online. 00:05:28.500 --> 00:05:31.980 And also would like to thank Professor José Antonio Martinez-Cruzado, 00:05:31.990 --> 00:05:35.770 a former classmate at Berkeley who is a professor at the University of 00:05:35.770 --> 00:05:42.150 Puerto Rico-Mayagüez, who has helped us, as soon as the earthquake happened, 00:05:42.150 --> 00:05:47.490 in gathering information and a lot of logistics while we were there, and has 00:05:47.490 --> 00:05:53.900 continued to work, as I will mention, with us learning from this event. 00:05:53.900 --> 00:05:58.920 The team that I was part of was composed by myself 00:05:58.920 --> 00:06:01.890 and these four individuals that I list over here. 00:06:01.890 --> 00:06:06.460 A Ph.D. student at UC-Berkeley, Jorge Archbold. 00:06:06.460 --> 00:06:10.360 And then a postdoc from Stanford, Pablo Heresi. 00:06:10.360 --> 00:06:15.990 And then Ph.D. students Armando Messina and Isamar Rosa. 00:06:15.990 --> 00:06:22.280 By the way, Isa just had her Ph.D. defense last Monday. 00:06:23.200 --> 00:06:28.900 So the main goals of our reconnaissance were primarily to document the 00:06:28.910 --> 00:06:33.120 performance of instrumented structures, to document performance of engineered 00:06:33.120 --> 00:06:36.490 structures that are close to free-field stations, and then 00:06:36.490 --> 00:06:40.360 to document the performance of other structures. 00:06:40.360 --> 00:06:47.240 Of course, we’ve had earthquakes for centuries, but our ability to learn 00:06:47.240 --> 00:06:50.570 from them, it’s rather limited if we don’t have instruments 00:06:50.570 --> 00:06:57.180 that enable us to create a pair in which we can sort of observe and document 00:06:57.180 --> 00:07:02.560 what kind of performance was produced by what kind of ground motion. 00:07:02.560 --> 00:07:08.520 So, in this case, one of – one of the things that I usually look at as soon as 00:07:08.520 --> 00:07:12.920 I receive some of the U.S. notifications that there’s been an earthquake, 00:07:12.920 --> 00:07:20.930 I quickly try to find out whether – where there were recording stations. 00:07:20.930 --> 00:07:24.450 And then, if so, what kind of intensities did they measure. 00:07:24.450 --> 00:07:30.200 And that’s a key component of making the decision of whether to go or not. 00:07:30.200 --> 00:07:34.250 So, in this case, we quickly learned – I mean, I already knew about 00:07:34.250 --> 00:07:39.730 the network over there, about their interesting instrumented 00:07:39.730 --> 00:07:44.000 soft soil sites, as I will mention in a moment. 00:07:44.000 --> 00:07:48.790 So I knew that there were going to be good records from this event 00:07:48.790 --> 00:07:52.740 that would really allow us to learn more from it. 00:07:52.740 --> 00:07:55.590 Very quickly – I won’t go into the details, but just very quickly, 00:07:55.590 --> 00:07:59.440 for those of you who are not familiar with the seismicity of the Caribbean, 00:07:59.440 --> 00:08:04.860 it’s a rather complicated seismic environment. 00:08:04.860 --> 00:08:09.900 Mainly because it’s at the edge of two plates, like we – often occurs. 00:08:09.900 --> 00:08:13.700 In this case, between the Caribbean Plate and the North American Plate. 00:08:13.700 --> 00:08:21.430 And you see Puerto Rico is this small island over here. 00:08:21.430 --> 00:08:26.770 But it’s – you know, even though the island is – or, part of the island 00:08:26.770 --> 00:08:31.580 that it’s above the sea level, it’s rather small, it’s actually – 00:08:31.580 --> 00:08:35.860 that platform, it’s rather large, as you see over here. 00:08:35.860 --> 00:08:43.029 And that actually extends along the Antilles arc with pretty much 00:08:43.029 --> 00:08:49.670 what we see above sea level is just a few volcanoes. 00:08:49.670 --> 00:08:53.430 But the platform is – it’s much, much larger. 00:08:53.430 --> 00:08:55.389 The region has seen many, many earthquakes, 00:08:55.389 --> 00:08:58.320 many of which are very large. 00:08:59.320 --> 00:09:04.700 I think, in the USGS surveys, there’s a number of people 00:09:04.700 --> 00:09:09.580 who really specialized in the seismicity in this area. 00:09:09.580 --> 00:09:14.139 And not only of Puerto Rico, but all of the neighboring islands, 00:09:14.139 --> 00:09:20.110 including La Española, which, as you all know, had a big earthquake in 2010. 00:09:20.110 --> 00:09:25.950 What's interesting about this situation is – I think I would call it, like, a perfect 00:09:25.950 --> 00:09:32.910 example of multi-hazard risk. So nowadays, not only the United 00:09:32.910 --> 00:09:39.000 States, but worldwide, there’s a lot of interest to study multi-hazards. 00:09:39.000 --> 00:09:44.180 And, when we think of the Caribbean, probably most of us, we think of 00:09:44.180 --> 00:09:52.410 the yearly dozens of hurricanes. And that’s perhaps the largest hazard 00:09:52.410 --> 00:09:58.480 in the area, or certainly the hazard that is more in the minds of people. 00:09:58.480 --> 00:10:05.160 And certainly everybody remembers Hurricane Maria in recent years. 00:10:05.170 --> 00:10:10.339 But there are many other risks. I mean, volcanic risks throughout 00:10:10.339 --> 00:10:15.149 the Caribbean. And certainly earthquakes – and big earthquakes. 00:10:15.149 --> 00:10:20.550 And I will just – I would like to point one in particular, which is 00:10:20.550 --> 00:10:24.279 really the largest earthquake in the island in recent years – 00:10:24.280 --> 00:10:30.000 or, a little off from the island – the October 11, 1918. 00:10:30.000 --> 00:10:34.980 So about 200 years ago, the San Fermín earthquake occurred. 00:10:34.980 --> 00:10:42.100 And it’s important to highlight this event, which is – occur, as you see, 00:10:42.100 --> 00:10:47.610 over here, and affected the whole island, but in particular, the west side of 00:10:47.610 --> 00:10:52.610 the island and Mayagüez. And there were important tsunamis 00:10:52.610 --> 00:10:57.060 in several locations there that are well-documented. 00:10:57.060 --> 00:11:02.180 And here, I just wanted to show you a couple of images of the 00:11:02.180 --> 00:11:05.300 damage that it produced in Mayagüez. 00:11:05.300 --> 00:11:12.360 And the reason why I bring this up is that, pretty much after this event, 00:11:12.370 --> 00:11:18.130 even though there’s been several other earthquakes, there was not really 00:11:18.130 --> 00:11:23.690 any recent event in – sort of in the memory of any person that’s alive 00:11:23.690 --> 00:11:28.600 today that would recall severe damage from earthquakes. 00:11:28.600 --> 00:11:35.120 And this very important because, as people are designing and building their 00:11:35.120 --> 00:11:42.400 constructions – their bridges and so on, their primary worry are hurricanes. 00:11:42.400 --> 00:11:46.940 And perhaps not so much earthquakes, even though, of course, earthquakes 00:11:46.949 --> 00:11:50.560 are part of the building code, and you have to design for that. 00:11:50.560 --> 00:11:55.890 But especially for a lot of the self-construction that takes place in 00:11:55.890 --> 00:12:02.389 the island, the main worry is hurricanes. And very often, that means that you 00:12:02.389 --> 00:12:06.350 would like to have a big, heavy roof that will protect you from the sun, 00:12:06.350 --> 00:12:10.420 that will protect you from the rain, that will certainly not be lift off 00:12:10.420 --> 00:12:14.350 by hurricane. But that works against you 00:12:14.350 --> 00:12:18.240 when it comes to inertial forces that are proportional to the mass. 00:12:18.240 --> 00:12:22.780 So, in that case, maybe something lighter would work better. 00:12:24.180 --> 00:12:29.420 This is an image from Temblor that was produced at the end of January 00:12:29.429 --> 00:12:35.899 that reflects the pretty productive activity that has been taking place 00:12:35.899 --> 00:12:43.269 in the still-ongoing sequence. It happened, just as you see here, 00:12:43.269 --> 00:12:48.240 in the edge of this platform but south [voice in background] 00:12:48.240 --> 00:12:54.149 of the island with many thousands of earthquakes. 00:12:54.149 --> 00:13:00.680 This image, also from Temblor, produced by Lopez, Vanacore, 00:13:00.680 --> 00:13:06.000 and others, highlights, you know, the location of the earthquakes 00:13:06.009 --> 00:13:13.019 within the island. And, as you can see, most of the events offshore, but there 00:13:13.019 --> 00:13:19.930 were a number of them that were very close to the heavily damaged towns. 00:13:19.930 --> 00:13:25.119 In terms of the space, the largest city in – 00:13:25.119 --> 00:13:30.050 near the epicenter is Ponce, which is located over here. 00:13:30.050 --> 00:13:34.749 And the second-largest city is the area is Mayagüez, 00:13:34.749 --> 00:13:40.680 where the networks are operated from. 00:13:42.360 --> 00:13:49.190 I put together these slides last night from ComCat just to highlight, you know, 00:13:49.190 --> 00:13:55.199 the large activity that is taking place. So, as of last night, there were 00:13:55.199 --> 00:14:00.029 close to 1,300 earthquakes with magnitudes larger than 3. 00:14:00.029 --> 00:14:05.220 And here you see how they have spread out quite a bit. 00:14:06.060 --> 00:14:11.540 For, you know, more than 50 kilometers in length and – 00:14:11.540 --> 00:14:17.680 but even if you take magnitudes larger than 4, there are 95, as you see here. 00:14:17.680 --> 00:14:22.040 And has produced a fairly large number of earthquakes 00:14:22.040 --> 00:14:27.580 of magnitude 5 and greater. And the sequence – I won’t 00:14:27.580 --> 00:14:34.840 go into the details, but it’s been described as one of the most productive 00:14:34.840 --> 00:14:43.980 earthquakes in terms of aftershocks relative to the magnitude of the event. 00:14:44.740 --> 00:14:52.559 I’ll just point out a few of them. The sequence started on December 29 00:14:52.559 --> 00:14:58.739 of last year with a magnitude 5 event. And that was – you know, for the 00:14:58.739 --> 00:15:03.949 typical activity, that was already fairly large and alerted the people 00:15:03.949 --> 00:15:09.149 that something was going on. And the sequence continued 00:15:09.149 --> 00:15:14.300 to the beginning of this year. 00:15:14.300 --> 00:15:20.439 The largest event prior to the main shock took place on the 00:15:20.439 --> 00:15:30.119 Day of Epiphany on January 6, 2020. And so, fortunately, schools were not – 00:15:30.119 --> 00:15:38.639 because of this – it’s a national holiday, so they were not in operation that day. 00:15:38.640 --> 00:15:42.260 But that was followed by the main event on the following day 00:15:42.260 --> 00:15:51.980 on January 7 with a magnitude 6.4. This particular combination, 00:15:51.980 --> 00:15:59.670 or sequence, actually, I believe, played a major role in diminishing 00:15:59.670 --> 00:16:05.250 the number of lives that were lost and some other consequences, 00:16:05.250 --> 00:16:12.269 basically because, after this event that I told you – the 5.8 – a lot of the 00:16:12.269 --> 00:16:18.370 people stopped staying in their houses. They were living in the outside in 00:16:18.370 --> 00:16:22.960 their yards in front of their houses or going to some shelters. 00:16:22.960 --> 00:16:29.460 And therefore, at least all of the structures that were damaged in this 5.8, 00:16:29.470 --> 00:16:35.649 most of those were empty when the large 6.4 occurred. 00:16:35.649 --> 00:16:38.820 In terms of aftershocks, well, we were there. 00:16:38.820 --> 00:16:41.640 We experienced many aftershocks. 00:16:43.960 --> 00:16:48.389 But this one was, relative to the main shock, fairly strong. 00:16:48.389 --> 00:16:51.020 We were at Ponce at the time. 00:16:51.020 --> 00:17:00.439 And I remember, after a very long day – we had slept very little when we finally 00:17:00.440 --> 00:17:07.560 arrived to Ponce after many hours of being in aiports and planes and having 00:17:07.560 --> 00:17:12.600 visited San Juan and Ponce, and we were exhausted. 00:17:12.600 --> 00:17:17.200 And the first thing that – you know, we made the reservations in this hotel 00:17:17.200 --> 00:17:20.750 in Ponce through the internet. And obviously, it’s not like they 00:17:20.750 --> 00:17:25.270 were going to advertise on their web page, you know, what is their – 00:17:25.270 --> 00:17:30.190 when it was built and seismic resistance and whatnot. 00:17:30.190 --> 00:17:35.730 But the – we came from the back of the hotel through an annex that – 00:17:35.730 --> 00:17:41.810 it was, you know, newer construction. But, as we went into the – into the 00:17:41.810 --> 00:17:49.040 actual hotel through a beautiful interior yard, and then the main 00:17:49.040 --> 00:17:54.590 advertising of the hotel was saying, you know, this is the oldest hotel 00:17:54.590 --> 00:17:59.850 in Puerto Rico. And soon after that, we had, in the evening, a very strong 00:17:59.850 --> 00:18:05.000 aftershock. And then this other one, even stronger, in the morning. 00:18:05.000 --> 00:18:10.150 So I knew right away – and maybe retrospectively, I should have paid 00:18:10.150 --> 00:18:14.780 more attention, that something was going to happen this year. 00:18:14.780 --> 00:18:18.860 Because, as soon as the earthquake – I start to find out whether we were 00:18:18.870 --> 00:18:24.110 going to go and make the plans to go, and we had just taken off from 00:18:24.110 --> 00:18:30.650 here from SFO in a fairly – almost brand-new 787. 00:18:30.650 --> 00:18:38.100 And the pilot said, we just had a fracture in the – in the windshield 00:18:38.100 --> 00:18:42.860 of the – of the – in the cockpit on the co-pilot side, so we’re 00:18:42.860 --> 00:18:45.380 heading back to San Francisco. 00:18:45.380 --> 00:18:48.450 So that’s how our reconnaissance trip started. 00:18:48.450 --> 00:18:51.900 And retrospectively, I said, you know, this – 00:18:51.900 --> 00:18:55.280 2020 is going to be full of surprises. 00:18:58.180 --> 00:19:02.940 This sequence, as I mentioned, it has been still ongoing. 00:19:02.940 --> 00:19:08.560 And recently, on June 2nd, they had a strong – another strong 00:19:08.560 --> 00:19:14.000 aftershock – a magnitude 5.4. And the personnel over there at the 00:19:14.000 --> 00:19:19.600 university have continued to work despite of the – of the quarantine and 00:19:19.610 --> 00:19:24.980 been able to retrieve many important records from this other event. 00:19:24.980 --> 00:19:29.340 In some of the stations in Ponce, they recorded larger intensities 00:19:29.340 --> 00:19:33.240 than in the main event. Of course, this is closer to Ponce, 00:19:33.240 --> 00:19:38.050 which is located in this area over here. 00:19:38.050 --> 00:19:45.900 And that, in combination with soft soils, probably led to those high intensities. 00:19:45.900 --> 00:19:50.440 I’ll briefly mention something about the networks that are operated over there. 00:19:50.440 --> 00:19:52.720 There are two very important networks. 00:19:52.720 --> 00:19:56.740 Here I’m just showing you the ones located in the island. 00:19:56.740 --> 00:20:02.220 But actually, they operate networks across five different countries, 00:20:02.220 --> 00:20:07.020 including in the neighboring República Dominicana and 00:20:07.020 --> 00:20:12.140 several other Virgin Islands and other – and other islands. 00:20:12.140 --> 00:20:18.000 So they have a first network of strong motion programs. 00:20:18.000 --> 00:20:20.870 And that’s operated by Professor José Antonio 00:20:20.870 --> 00:20:26.760 Martinez-Cruzado and his team. I’ll mention some of them in a moment. 00:20:26.760 --> 00:20:33.640 And then there’s another one – the Puerto Rico seismic network 00:20:33.640 --> 00:20:38.080 that it’s operated by Professor Elizabeth Vanacore and her team. 00:20:38.080 --> 00:20:44.500 And that has more instrument that’s distributed throughout the island. 00:20:44.500 --> 00:20:50.590 The one of strong motion stations, they operate also distributed stations, 00:20:50.590 --> 00:20:55.910 but in particular, they have two very interesting networks in the city of 00:20:55.910 --> 00:20:59.210 Mayagüez and in the city of Ponce. 00:20:59.210 --> 00:21:03.100 And I’ll be describing some of the records that were obtained over there. 00:21:03.860 --> 00:21:08.760 There’s another one of these local networks in San Juan, 00:21:08.760 --> 00:21:12.820 and most of the instruments were triggered in this event. 00:21:12.820 --> 00:21:18.300 Although that’s further away from this event at distances 00:21:18.300 --> 00:21:24.780 close to 100 kilometers. So the intensities there were very small. 00:21:26.530 --> 00:21:31.900 So this is part of the – of the Red Sismica de Puerto Rico – 00:21:31.900 --> 00:21:37.210 the Puerto Rico seismic network operated from the University of 00:21:37.210 --> 00:21:40.950 Puerto Rico-Mayagüez and showing some of the stations in the island 00:21:40.950 --> 00:21:46.220 and then in some of the other islands, as you see here, in Punta Cana, 00:21:46.220 --> 00:21:52.860 in República Dominicana, you can see just barely in this close-up view. 00:21:54.260 --> 00:21:57.560 Some of the people that I would like to acknowledge here that have 00:21:57.560 --> 00:22:03.200 been key over the years, in not only the installation, but the maintenance 00:22:03.200 --> 00:22:08.820 and reconstruction of a network. Because their network and many 00:22:08.820 --> 00:22:14.260 of their stations suffered damage, either on the telemetry or antennas 00:22:14.260 --> 00:22:20.280 or batteries, whatnot, as a result of Hurricane Maria. 00:22:21.120 --> 00:22:24.140 But, as I said, this has been led for a number of years by 00:22:24.150 --> 00:22:29.030 Professor Martinez-Cruzado. But these other individuals that 00:22:29.030 --> 00:22:36.380 I list here have been key over the years to maintain and really trying to leverage 00:22:36.380 --> 00:22:43.040 their funding from local sources with federal resources, 00:22:43.040 --> 00:22:46.860 resources provided in incorporation with the USGS. 00:22:46.860 --> 00:22:53.200 And USGS has played a major role in assisting the island in the installation 00:22:53.200 --> 00:22:57.080 of many of these and in the reconstruction here. 00:22:57.080 --> 00:23:02.640 I’m showing a photograph of one of them while installing some of 00:23:02.640 --> 00:23:08.660 the instrumentation at Lucchetti Dam that I’ll talk about in a moment. 00:23:08.660 --> 00:23:16.820 In terms of – in terms of records, this – of course, it’s an image from USGS. 00:23:16.820 --> 00:23:25.000 A ShakeMap showing the locations of instruments and in colors – color-coded, 00:23:25.000 --> 00:23:31.740 the intensity of some of these. I’ll just point out a few of these. 00:23:31.740 --> 00:23:38.680 The largest peak ground accelerations was recorded at this UUPR station that 00:23:38.680 --> 00:23:44.350 exceeded half a g, which is remarkably, as you will see in a moment, I mean, 00:23:44.350 --> 00:23:47.580 given the magnitude and distance. 00:23:47.580 --> 00:23:53.130 You know, this is significantly higher than what we would have expected. 00:23:53.130 --> 00:23:59.640 And another one was at the campus of the University at Utuado, 00:23:59.640 --> 00:24:04.710 where a peak ground acceleration of 0.45 g was recorded. 00:24:04.710 --> 00:24:09.080 This is – this was not entirely a surprise for the people who 00:24:09.080 --> 00:24:12.130 operate these networks. This particular station has 00:24:12.130 --> 00:24:17.730 measured large accelerations in a number of events. 00:24:17.730 --> 00:24:20.640 In particular in several of the events has been – the largest 00:24:20.640 --> 00:24:25.020 intensity has been recorded. And it’s probably due to 00:24:25.020 --> 00:24:29.830 a combination of some topographic and local site effects that lead to 00:24:29.830 --> 00:24:34.140 these large amplifications of motion. 00:24:34.140 --> 00:24:39.740 The Lucchetti Dam that I just mentioned, that is – measure 00:24:39.740 --> 00:24:46.700 an intensity of 0.4. As you would expect, it’s located in the mountains. 00:24:47.860 --> 00:24:51.860 And then, in Puerto Rico, peak ground accelerations 00:24:51.860 --> 00:24:59.140 oscillated somewhere between 0.16 and 0.25 g. 00:24:59.140 --> 00:25:05.640 And the higher accelerations were all recorded on soft soil sites. 00:25:06.660 --> 00:25:13.840 And then, in the city of Mayagüez, accelerations had even larger variations, 00:25:13.840 --> 00:25:20.780 varying from about 4% of g to 19% of g. Again, the lower ones for rock stations 00:25:20.780 --> 00:25:25.400 and the larger ones for stations located in soft soil sites. 00:25:26.320 --> 00:25:31.820 These are just plots of the attenuation of intensity with distance. 00:25:31.820 --> 00:25:36.840 I plotted in the left sort of the more common way in which engineers 00:25:36.840 --> 00:25:40.770 look at this, and on the right, the way seismologists look at this. 00:25:40.770 --> 00:25:46.500 So I say, you know, you look at the one that you are more familiar with. 00:25:46.500 --> 00:25:51.970 But both clearly show, you know, the expected decay in intensities 00:25:51.970 --> 00:25:55.430 with increasing distances. Again, I’ll just highlight 00:25:55.430 --> 00:26:03.140 a few of these intensities. The largest, again, 0.52. 00:26:03.140 --> 00:26:08.240 And you can see significantly larger even for stations that were located at 00:26:08.240 --> 00:26:15.190 similar distances from the epicenter. The one at the campus of the 00:26:15.190 --> 00:26:20.520 University of Puerto Rico in Utuado, 0.45. Lucchetti Dam, 0.4. 00:26:20.520 --> 00:26:24.760 And then Ponce, which is located about 20 kilometers from the epicenter 00:26:24.760 --> 00:26:31.840 of the main shock saw accelerations between 7 and 0.24 g. 00:26:31.840 --> 00:26:38.370 So that’s a ratio of about 3-1/2 from the lower to the highest, 00:26:38.370 --> 00:26:41.200 which is not uncommon. We see this all the time. 00:26:41.200 --> 00:26:47.440 As a matter of fact, in my recent course at Stanford, in a quiz, I asked the 00:26:47.440 --> 00:26:52.880 students if you would think that it’s normal that, at the same distance and 00:26:52.880 --> 00:26:56.720 same magnitude and same event, you would be able to measure 00:26:56.720 --> 00:27:02.180 4 times the intensity. And only a few of them – even though I had shown them 00:27:02.180 --> 00:27:06.860 several examples, just a few of them answered that correctly. 00:27:06.860 --> 00:27:13.540 And same thing occurred in Mayagüez. Mayagüez, located about 45 kilometers 00:27:13.550 --> 00:27:19.000 from the epicenter – again, big variation of ground motion intensities with the 00:27:19.000 --> 00:27:24.000 lower ones corresponding to the rock sites and the high ones to soft soil. 00:27:24.000 --> 00:27:31.720 In particular, this higher one with 0.2 g, it’s a free-field station that was recorded 00:27:31.720 --> 00:27:37.450 right next to a viaduct that suffered significant damage. 00:27:37.450 --> 00:27:41.060 And I’ll show you some photographs of that afterwards. 00:27:41.060 --> 00:27:47.320 In terms of peak ground velocities, also some of the stations recorded 00:27:47.320 --> 00:27:51.420 fairly large peak ground velocities. 00:27:51.420 --> 00:28:00.630 [inaudible] six stations here with intensities larger than 25 centimeters 00:28:00.630 --> 00:28:06.260 per second, which are definitely capable of producing quite a bit of damage. 00:28:09.530 --> 00:28:14.800 In terms of design spectral intensities, the Puerto Rico building 00:28:14.800 --> 00:28:22.940 code is based on ASCE 7, like just the rest of the – of the U.S. 00:28:22.940 --> 00:28:28.120 And I’m showing you here the spectral ordinates as a percentage 00:28:28.120 --> 00:28:34.520 of g for what we refer to as the maximum considered earthquake 00:28:34.520 --> 00:28:39.420 that would have a probability of 2% in 50 years. 00:28:39.420 --> 00:28:44.720 And you can see that, in this – the southwestern part of the island 00:28:44.720 --> 00:28:50.660 is where the largest spectral accelerations would occur, 00:28:50.660 --> 00:28:57.160 many of which are larger than 1 g. 00:28:57.160 --> 00:29:01.530 But especially for the engineers in the audience, as you know, 00:29:01.530 --> 00:29:07.810 we don’t really design for this level, but typically for two-thirds of this. 00:29:07.810 --> 00:29:10.700 So, in many stations, we would be designing 00:29:10.700 --> 00:29:19.800 for about 80% of g at 0.2 seconds. And then, at 1 second, for values at the 00:29:19.800 --> 00:29:28.060 MCE level, about 1/2 a g and two-thirds of that for the design base as earthquake. 00:29:29.240 --> 00:29:37.360 These are just representative examples of some of the design spectra for 00:29:37.360 --> 00:29:41.450 some of the cities that I’ll be showing you in the photographs. 00:29:41.450 --> 00:29:46.350 Ponce, Guánica, Guayanilla, and Mayagüez. 00:29:46.350 --> 00:29:50.630 And I plotted here the values corresponding to 00:29:50.630 --> 00:29:56.980 Site Classes C and D, which are alluvial sites that are relatively soft. 00:29:56.980 --> 00:30:00.160 Although I would like to mention that several of the sites are 00:30:00.160 --> 00:30:05.040 actually softer, and they would correspond to Site Class E. 00:30:08.720 --> 00:30:12.960 This is an image, again, of the island of Puerto Rico 00:30:12.960 --> 00:30:18.540 showing the location of some of the recording stations. 00:30:18.540 --> 00:30:22.330 And, in the squares, I’m showing you some of the close-up views 00:30:22.330 --> 00:30:28.630 that I will show you with some of the local instruments and some of the red 00:30:28.630 --> 00:30:33.040 squares represent some of the structures that we visited and documented. 00:30:33.040 --> 00:30:38.320 I won’t have time to go into details of all of them, but I’ll give you 00:30:38.330 --> 00:30:42.750 some references of some – a couple of reports that we have published for any 00:30:42.750 --> 00:30:47.810 of you that would like to have more information to look at that. 00:30:47.810 --> 00:30:50.850 This is one example. This is in the city of Ponce. 00:30:50.850 --> 00:30:55.690 Again, this is the largest city that is close to the epicenter – 00:30:55.690 --> 00:31:02.220 about 20 kilometers from the epicenter. The triangles represent strong motion 00:31:02.220 --> 00:31:08.980 stations. And there’s one here at the University of Puerto Rico in Ponce. 00:31:08.990 --> 00:31:14.130 That – actually, that’s where we started. and we knew that there was a station 00:31:14.130 --> 00:31:18.630 there, so the first thing we did was to – when we arrived to Ponce, 00:31:18.630 --> 00:31:24.620 was to visit that – not only the station, but to visit all the – all the structures 00:31:24.620 --> 00:31:31.340 on the campus that were located very close to that station. 00:31:31.340 --> 00:31:36.910 We also visited two nearby stations – a bridge that is instrumented, 00:31:36.910 --> 00:31:43.610 and I’ll show you, and then a toll plaza that actually recorded the largest 00:31:43.610 --> 00:31:48.340 acceleration in the event. It’s partly – that toll plaza is partly 00:31:48.340 --> 00:31:53.460 located on a fill that I’m sure must have played a role in the slightly 00:31:53.460 --> 00:31:57.460 larger intensity compared to the one of the bridge or the one that 00:31:57.460 --> 00:32:03.400 was located here on the campus. But there are several other stations, 00:32:03.400 --> 00:32:08.650 especially near downtown in the offices of an engineering firm 00:32:08.650 --> 00:32:12.050 in the [inaudible] and many others. 00:32:12.050 --> 00:32:19.000 So we visited a lot of interesting sites over there. 00:32:19.000 --> 00:32:25.850 Just representative – this comes from a USGS Open-File report that 00:32:25.850 --> 00:32:33.680 was produced some years ago of people that conducted investigations 00:32:33.680 --> 00:32:38.450 of the soil profiles in several locations in Puerto Rico. 00:32:38.450 --> 00:32:43.450 And that included this particular location in the campus of the 00:32:43.450 --> 00:32:49.980 Catholic University of Puerto Rico. It’s a private university there in the city. 00:32:49.980 --> 00:32:57.140 And what’s interesting about this one is, as you can see, it has a couple of layers 00:32:57.150 --> 00:33:02.230 of very soft soil – alluvial deposits with shear wave velocities of 00:33:02.230 --> 00:33:07.920 140 and 160 meters per second. And that sits on top of a Ponce 00:33:07.920 --> 00:33:16.110 limestone that – it’s much, much stiffer with shear wave velocities 00:33:16.110 --> 00:33:22.650 in the order of 505 meters per second. But it’s relatively shallow. 00:33:22.650 --> 00:33:27.660 And then, even if you, you know, take this into consideration in 00:33:27.660 --> 00:33:34.870 computing the Vs30, you still lead to a value smaller than 180, 00:33:34.870 --> 00:33:39.080 and therefore it’s classified as a Site Class E. 00:33:41.900 --> 00:33:45.230 These are just representative examples comparing the 00:33:45.230 --> 00:33:50.500 design spectra with some of the response spectra computed from – 00:33:50.500 --> 00:33:56.300 5% response spectra computed from some of the ground motions in the city. 00:33:56.300 --> 00:34:03.470 As you can see, the design spectral ordinates were exceeded, both in the 00:34:03.470 --> 00:34:08.879 high-frequency region, but in particular, you know, in terms of displacement 00:34:08.879 --> 00:34:13.050 demands, which are primarily responsible for damage to both 00:34:13.050 --> 00:34:19.160 structural and non-structural components, it’s a lot more worrisome, 00:34:19.160 --> 00:34:26.080 this large spectral ordinates occurring at periods larger than 0.5, 00:34:26.080 --> 00:34:30.320 which give rise to fairly large displacement demands. 00:34:34.590 --> 00:34:39.800 This is some of the – some of the instruments located 00:34:39.800 --> 00:34:44.020 in the city of Mayagüez. Again, Mayagüez is located about 00:34:44.020 --> 00:34:49.840 45 kilometers from the epicenter. The campus of the university where 00:34:49.850 --> 00:34:56.130 our friends are located is right here. There’s a couple of stations there. 00:34:56.130 --> 00:35:01.610 This is up in the hills. And this region is – it’s relatively flat. 00:35:01.610 --> 00:35:07.640 Downtown, it’s around here, and that’s also on a hill. 00:35:07.640 --> 00:35:13.520 And I’ll be showing you some images – this is the viaduct that I mentioned 00:35:13.520 --> 00:35:17.950 previously that suffered damage. And I’ll be showing some images 00:35:17.950 --> 00:35:25.170 of that. And this is a very nicely instrumented condominium tower, 00:35:25.170 --> 00:35:31.990 El Castillo, which is – we also visited and we’ve been working with some of 00:35:31.990 --> 00:35:36.250 the records that were obtained there. Just like I did for Ponce, I wanted to 00:35:36.250 --> 00:35:42.850 show you some of the information we know about the soils in Mayagüez. 00:35:42.850 --> 00:35:52.060 Again, in many locations, you find alluvial soil deposits that are – 00:35:52.060 --> 00:35:58.360 with low shear wave velocities of about 145 meters per second. 00:35:58.360 --> 00:36:03.800 In this case, [inaudible] bedrock at about 18 meters’ depth with 00:36:03.800 --> 00:36:07.820 shear wave velocities in the order of 355. 00:36:07.820 --> 00:36:13.700 And this one just barely classifies as Site Class D. 00:36:13.700 --> 00:36:17.610 As you all know, you know, the site classification has worked well, 00:36:17.610 --> 00:36:25.030 and it helps us in a number of things. But also, you know, it’s not the same as, 00:36:25.030 --> 00:36:26.910 you know, doing a site response analysis. 00:36:26.910 --> 00:36:34.010 You see this kind of information from [inaudible]. 00:36:34.010 --> 00:36:38.840 This is another example. This is at the track on the campus of the 00:36:38.840 --> 00:36:44.520 University of Puerto Rico-Mayagüez where there you have an impedance, 00:36:44.520 --> 00:36:50.390 or contrast – a much sharper contrast there where you go basically from 00:36:50.390 --> 00:36:57.580 deposits of 140 meters per second to fairly good rocks, which are 00:36:57.580 --> 00:37:02.020 velocities of up to more than 2,000 meters per second. 00:37:02.020 --> 00:37:08.430 So when you – when you classify this according to NEHRP classifications, 00:37:08.430 --> 00:37:15.740 you end up classifying this as to – as a NEHRP Site Class D, but would 00:37:15.740 --> 00:37:22.740 not necessarily produce motions of your typical Site Class D, but rather, 00:37:22.740 --> 00:37:29.840 they’re more representative of a soft layer of soft soil on rock. 00:37:29.840 --> 00:37:36.940 And these are some examples, again, comparing design spectrum with 5% 00:37:36.940 --> 00:37:41.060 response spectra computed from some of those ground motions. 00:37:41.060 --> 00:37:48.320 And similarly, to – oh, sorry. I put this image – these are actually 00:37:48.320 --> 00:37:52.480 the ones – it says “Mayagüez,” but I copy again the once of Ponce. 00:37:52.480 --> 00:37:54.960 I apologize. 00:37:55.460 --> 00:38:00.220 But, in my report, I’ll show those. 00:38:01.520 --> 00:38:06.120 This is in Yaucos. This is closer to the epicenter. 00:38:07.100 --> 00:38:14.460 This had a peak ground acceleration [echoing] a little bit [inaudible] 0.35 g, 00:38:14.460 --> 00:38:19.720 if I recall correctly. [echoing stopped] And you can see that it exceeded 00:38:19.720 --> 00:38:24.580 spectral ordinates on a wide range of periods and frequencies. 00:38:29.100 --> 00:38:35.980 These are some of the risk that was estimated by USGS PAGER, where, 00:38:35.980 --> 00:38:41.460 I believe, correctly identified the small number of fatalities. 00:38:41.460 --> 00:38:44.800 There’s only one fatality that we know of. 00:38:44.800 --> 00:38:49.780 But, again, I believe that we – it really played a big role, 00:38:49.780 --> 00:38:56.580 the occurrence of these two events. That’s why I put both of them here, 00:38:56.580 --> 00:39:03.660 that having had that 5.8 the day before allowed a lot of people just not to 00:39:03.660 --> 00:39:09.700 be living in their – in their houses when the main occurred. 00:39:09.700 --> 00:39:17.710 And that, I’m sure, saved a lot of lives. You know, this is just my educated 00:39:17.710 --> 00:39:23.600 guess, but I think we would have definitely exceeded the 10 and possibly 00:39:23.600 --> 00:39:30.600 even 100 fatalities if it wasn’t for this sequence, the way it played out. 00:39:32.700 --> 00:39:40.430 I believe that the largest impact was on the residential construction. 00:39:40.430 --> 00:39:45.580 These are just a few images taken from some social media and from 00:39:45.580 --> 00:39:52.000 reporters that we all saw in the days following the earthquake. 00:39:52.000 --> 00:39:59.960 And they are representative examples of the type of construction that you see. 00:39:59.960 --> 00:40:05.340 Not only in the epicentral region, but throughout Puerto Rico, 00:40:05.340 --> 00:40:12.330 to a certain extent, in which it’s very common to have these two-story houses, 00:40:12.330 --> 00:40:18.980 but that the ground level is used for parking and for protection from the sun. 00:40:18.980 --> 00:40:23.940 And then people actually live in the – in the upper level. 00:40:23.940 --> 00:40:29.200 And I mentioned this because, in a recent study we did at Stanford, 00:40:29.200 --> 00:40:36.520 we found that two-story houses are substantially more risky 00:40:36.520 --> 00:40:39.690 than one-story houses. And, as we were doing our 00:40:39.690 --> 00:40:44.050 reconnaissance, we had just recently published this paper. 00:40:44.050 --> 00:40:48.430 We had this fresh in mind, and it – you know, of course it – you could say 00:40:48.430 --> 00:40:51.840 it’s expected when you have these soft stories. 00:40:51.840 --> 00:40:55.480 But, as I’ll show you in some of the images, this also occurred not only 00:40:55.480 --> 00:41:04.180 in soft stories, but it was pretty evident throughout the region. 00:41:05.410 --> 00:41:11.880 The fact that you have the soft story, or the parking, also played a role in the 00:41:11.880 --> 00:41:17.700 sense that, even if these collapse, as you can see here, people would 00:41:17.700 --> 00:41:23.940 be able to walk and be alive if they were in the upper level. 00:41:27.700 --> 00:41:32.380 This is another example taken from social media. 00:41:32.380 --> 00:41:35.340 This was – it looks like a one-story, but at one point, 00:41:35.340 --> 00:41:40.480 it was a second – two-story house. 00:41:42.960 --> 00:41:46.760 And this is another example. 00:41:46.760 --> 00:41:52.820 I’m just going to be showing you a few, but this is interesting in the sense that, 00:41:52.820 --> 00:41:58.820 you know, you could clearly see that many of these had engineering designs, 00:41:58.820 --> 00:42:03.460 and in some cases, fairly large columns. You know, in some cases, you do see 00:42:03.460 --> 00:42:08.119 some problems, but here, as you see, there were fairly large 00:42:08.120 --> 00:42:11.040 columns in this particular house. 00:42:11.040 --> 00:42:19.160 And so relative to the mass, you would say it’s a fairly strong 00:42:19.160 --> 00:42:22.880 soft story, if you will, but you see there the close-up view of 00:42:22.880 --> 00:42:30.420 that interior column and the severe damage that that caused. 00:42:30.420 --> 00:42:41.440 And one thing that I would like to point out is that we were there a little less 00:42:41.440 --> 00:42:49.750 than 48 hours after the main shock. And we stayed there for four days. 00:42:49.750 --> 00:42:55.000 And so that basically means that, for about six days, we basically see – 00:42:55.000 --> 00:42:59.950 we saw no tagging. And most people, you know, 00:42:59.950 --> 00:43:05.020 just basically were making decisions on their own whether to stay or not. 00:43:05.020 --> 00:43:10.500 And, while many people were living outside, we saw many houses that 00:43:10.500 --> 00:43:15.560 were being occupied that probably they shouldn’t have been occupied. 00:43:15.560 --> 00:43:21.070 And that’s one of the lessons that I would say. 00:43:21.070 --> 00:43:27.770 We need to learn, or relearn, the importance of starting the 00:43:27.770 --> 00:43:32.800 tagging right away. And this earthquake certainly 00:43:32.800 --> 00:43:37.170 highlighted how we’re often slow in doing that. 00:43:37.170 --> 00:43:44.230 And particularly challenging in places like Puerto Rico, where, again, because, 00:43:44.230 --> 00:43:48.100 for essentially a hundred years, they had not seen this. 00:43:48.100 --> 00:43:53.460 Even though there are some engineers who have been trained in this type of 00:43:53.460 --> 00:44:00.359 post-earthquake evaluation of existing structures, it was difficult to do the 00:44:00.360 --> 00:44:02.860 coordination and get this process started. 00:44:02.860 --> 00:44:10.680 Eventually, it started, but took some days to get it going. 00:44:10.680 --> 00:44:16.420 This is – this is one example of the type of damage in two-story houses. 00:44:16.420 --> 00:44:21.090 But again, it’s – this is representative of something that we saw very often, 00:44:21.090 --> 00:44:26.210 which is – you know, you wouldn’t say that it’s such an obvious soft story 00:44:26.210 --> 00:44:32.480 as the previous one. But if you compare what went on in the upper level with 00:44:32.480 --> 00:44:37.860 respect to the lower level, you know, it’s remarkable, the contrast. 00:44:37.860 --> 00:44:44.520 And very often, if you – if you look at many documents throughout the years, 00:44:44.530 --> 00:44:49.470 we have classified one- and two- and sometimes even three-story 00:44:49.470 --> 00:44:54.280 houses under the same category. And this started after the 00:44:54.280 --> 00:45:02.040 1906 earthquake in California. But there are many documents that – 00:45:02.040 --> 00:45:10.740 whether it’s for tagging, for rapid evaluation, for rapid screening, 00:45:10.740 --> 00:45:16.940 for actual loss estimation, they being lumped into the same category. 00:45:16.940 --> 00:45:22.720 And we strongly believe that this – we should stop doing that. 00:45:22.730 --> 00:45:27.310 Even with relatively simple calculations, you can show that, 00:45:27.310 --> 00:45:33.330 because of the difference in vibration characteristics, simply one is going to 00:45:33.330 --> 00:45:39.119 have a period about twice the other. And that gives to very large differences 00:45:39.119 --> 00:45:42.700 in displacement demands. But then those displacement demands 00:45:42.700 --> 00:45:47.800 essentially concentrate in the lower story and making 00:45:47.800 --> 00:45:53.580 two-story houses far more vulnerable than one-story houses. 00:45:53.580 --> 00:45:58.040 And I think we need to do a better job in recognizing this 00:45:58.040 --> 00:46:00.940 in the engineering community. 00:46:02.720 --> 00:46:06.340 Moving now to damage to school buildings. 00:46:06.340 --> 00:46:13.580 I’m sure you all saw the images in the TV and in newspapers 00:46:13.580 --> 00:46:20.090 about the collapse of this structure. This structure collapsed on the 00:46:20.090 --> 00:46:24.540 January 6th – or, partially collapsed on the January 6th event. 00:46:24.540 --> 00:46:30.200 And fortunately, Professor Martinez- Cruzado visited the structure on that day 00:46:30.200 --> 00:46:36.860 and essentially closed it and made sure that nobody would get anywhere near it 00:46:36.869 --> 00:46:43.210 and then suffer further damage and collapse in the main shock. 00:46:43.210 --> 00:46:48.880 But by then, you know, nobody was close to this structure. 00:46:50.840 --> 00:46:57.040 Here it’s another view. As you see, it has a number of buildings in it. 00:46:57.040 --> 00:47:02.020 This is the main courtyard. The entrance is here on the right. 00:47:02.020 --> 00:47:07.300 And, in particular, this … 00:47:10.660 --> 00:47:16.500 … this structure was the one that collapsed in the – in the main shock. 00:47:17.760 --> 00:47:21.780 These are some images. It’s fairly complex. 00:47:21.780 --> 00:47:25.460 You know, sometimes when I do earthquake reconnaissance – 00:47:25.460 --> 00:47:29.540 or, I should say, not sometimes, but almost always, as I’m taking 00:47:29.540 --> 00:47:32.860 photographs, I’m reflecting, you know, to what extent I would have been 00:47:32.860 --> 00:47:40.660 able to predict such a performance. And you do see a number of views 00:47:40.660 --> 00:47:45.920 with this structure that perhaps the most important one that led to this collapse 00:47:45.920 --> 00:47:52.670 is the presence of short columns, or captive columns, as we call them. 00:47:52.670 --> 00:47:56.770 But interestingly enough – and when you go to conference, people say, 00:47:56.770 --> 00:47:59.530 oh, you know, it failed because of short columns. 00:47:59.530 --> 00:48:03.900 But what people don’t tell you very often is that, in the same location, 00:48:03.900 --> 00:48:06.650 there were plenty of other structures with short columns, 00:48:06.650 --> 00:48:09.280 and they were intact. As a matter of fact, this particular, 00:48:09.280 --> 00:48:12.820 you know, one-story structure right next to it, we visited, 00:48:12.820 --> 00:48:16.880 and we looked very careful at it. There you see the short columns. 00:48:16.880 --> 00:48:21.619 And essentially had no damage. And it was not the only structure there. 00:48:21.619 --> 00:48:24.880 I mean, there were others. And I’ll show you a video in 00:48:24.880 --> 00:48:32.869 a moment that highlights, you know, the selective nature of earthquakes 00:48:32.869 --> 00:48:38.790 but also how complicated is really the task of evaluating 00:48:38.790 --> 00:48:42.480 which ones are at risk and which ones are not. 00:48:42.480 --> 00:48:48.340 This was not a very old structure. Yes, you know, the detail is not perfect. 00:48:48.340 --> 00:48:52.980 And, you know, short – you would point out the large spacing. 00:48:52.980 --> 00:48:57.480 I mean, it had good separation at the ends, you know, improving 00:48:57.480 --> 00:49:01.859 a little bit the confinement at the end of the columns. 00:49:01.859 --> 00:49:11.080 But, you know, larger spacing with 90-degree bends in the corners, 00:49:11.080 --> 00:49:16.960 which of course, we would not use or recommend nowadays. 00:49:16.960 --> 00:49:21.380 But still, if you look at the longitudinal reinforcement, the quality of the 00:49:21.380 --> 00:49:25.620 concrete, and the size of the columns, you know, on the back of the 00:49:25.620 --> 00:49:28.460 envelope, you can do some calculations of what is – what is 00:49:28.460 --> 00:49:32.869 the amount of shear force that it takes to shear one of these 00:49:32.869 --> 00:49:37.600 large columns the way it did. And then, times the number of columns. 00:49:37.600 --> 00:49:42.720 And then you quickly come to realize the very large forces 00:49:42.720 --> 00:49:46.060 that act on these structures during these earthquakes. 00:49:47.570 --> 00:49:52.160 These are just some close-up views in high-resolution so you 00:49:52.160 --> 00:49:56.870 can see some of the details. There you see the closer spacing 00:49:56.870 --> 00:50:03.420 that I mentioned in the top. There were number 4s at 4 inches apart 00:50:03.420 --> 00:50:11.320 and longitudinal enforcement that were number 8 rebars with very good quality, 00:50:11.320 --> 00:50:15.720 no evidence of corrosion. And here you see a close-up 00:50:15.720 --> 00:50:21.100 view of some of the 90-degree bends in the corners. 00:50:22.600 --> 00:50:28.599 And, you know, sometimes we say, well, you know, these are – we sometimes 00:50:28.599 --> 00:50:34.190 create these binary classifications, especially here in California. 00:50:34.190 --> 00:50:36.940 We like this simple binary classifications, right? 00:50:36.940 --> 00:50:39.960 We say, oh, this was a pulse-like ground motion. 00:50:39.960 --> 00:50:42.670 This was an ordinary ground motion. 00:50:42.670 --> 00:50:46.530 This is near-fold. This is far. 00:50:46.530 --> 00:50:50.760 And similarly, we would say, oh, this is non-ductile. This is ductile. 00:50:50.760 --> 00:50:55.010 When, in reality, you know, this is far from a binary classification, 00:50:55.010 --> 00:51:00.540 and this is just sort of like for human beings to feel happy that they have 00:51:00.540 --> 00:51:03.430 classified these structures or these ground motions. 00:51:03.430 --> 00:51:06.869 But, in reality, there’s a full continuum in between. 00:51:06.869 --> 00:51:11.740 In reality, it’s a lot more complex than we sometimes think. 00:51:12.680 --> 00:51:16.000 This is a video that I took. It’s the only one that I’ll show you. 00:51:16.000 --> 00:51:20.520 But I think it’s sort of representative of the selective nature of earthquakes. 00:51:20.520 --> 00:51:26.940 So I first start by displaying that school that you just saw. 00:51:26.940 --> 00:51:30.800 But then I’m panning around the structures in the surrounding 00:51:30.800 --> 00:51:35.560 of the school. And you essentially see no damage. 00:51:39.860 --> 00:51:43.420 There on this structure – it’s a museum. 00:51:43.430 --> 00:51:47.660 There you see that sort of tower. It actually has, like, a clock tower. 00:51:47.660 --> 00:51:49.130 It had no damage. 00:51:49.130 --> 00:51:51.910 The only damage that I saw on that structure were some of 00:51:51.910 --> 00:51:57.880 those ornaments on the parapet, that a couple of them collapsed. 00:51:57.880 --> 00:52:01.490 But, again, you would say, well, you know, this is a non-ductile 00:52:01.490 --> 00:52:04.540 reinforced concrete school, so what do you expect? 00:52:04.540 --> 00:52:07.560 Well, you know, if you actually were to look at the drawings of 00:52:07.560 --> 00:52:11.900 all of these structures, I guess, in this simple classification, 00:52:11.900 --> 00:52:14.470 you could probably also call them non-ductile reinforced 00:52:14.470 --> 00:52:18.180 concrete construction, and still, they were intact. 00:52:18.180 --> 00:52:26.450 So, again, it highlights the often selective nature of what the 00:52:26.450 --> 00:52:30.620 earthquakes choose to destroy and what not. 00:52:31.460 --> 00:52:36.700 This is another example. This is in Ponce. 00:52:36.700 --> 00:52:39.870 Like many schools, sort of the geometry – and because of the 00:52:39.870 --> 00:52:42.770 purpose and the classrooms next to each other, they share 00:52:42.770 --> 00:52:49.380 a very different – I mean, very similar configuration. 00:52:49.380 --> 00:52:53.660 And you can see the presence of short columns in this case 00:52:53.670 --> 00:53:00.010 with these architectural parapets. Masonry walls that essentially 00:53:00.010 --> 00:53:06.410 prevent lateral deformations in the column and therefore essentially 00:53:06.410 --> 00:53:10.360 double the shear demands for the same lateral deformation. 00:53:10.360 --> 00:53:14.900 And there was no damage. I mean, I took lots of photos 00:53:14.910 --> 00:53:19.010 of each column with close-up views, which I won’t show you. 00:53:19.010 --> 00:53:25.600 But many structures nearby, including this one that you see here on the left, 00:53:25.600 --> 00:53:29.880 and within the structure – within 100 yards of this structure, there was 00:53:29.880 --> 00:53:37.220 severe structural damage. And this one with short columns had no damage. 00:53:37.220 --> 00:53:42.170 It’s located on soft soil. This is just a close-up view 00:53:42.170 --> 00:53:48.900 of that short column in the corner. And you would say, well, you know – 00:53:48.900 --> 00:53:51.620 maybe in one of these pre-screenings, you would say, 00:53:51.620 --> 00:53:55.760 oh, yes, this is the first column that is going to go. 00:53:55.760 --> 00:54:02.780 And it just – sometimes I show some of these in classroom to tell the students, 00:54:02.780 --> 00:54:07.020 you know, that we need to remain humble and don’t believe that – 00:54:07.020 --> 00:54:09.619 for a minute that we understand everything about earthquakes 00:54:09.620 --> 00:54:11.480 and what earthquakes do to structures. 00:54:11.480 --> 00:54:17.660 Because every earthquake teaches that it’s more complicated than that. 00:54:17.660 --> 00:54:25.640 So moving on to residential constructions, but taller ones. 00:54:25.640 --> 00:54:30.500 There – you know, like many urban areas, when land starts to 00:54:30.500 --> 00:54:34.200 be scarce and starts to go up in price, 00:54:34.200 --> 00:54:41.480 developers find more economically attractive to go in the vertical direction. 00:54:41.480 --> 00:54:48.040 And this is one of those structures that – so, for in the – in the main façade, 00:54:48.040 --> 00:54:51.240 you could see some damage but not a lot. 00:54:51.240 --> 00:54:55.340 But then, on the back, there was quite a bit of damage. 00:54:55.340 --> 00:55:00.550 And I’ll show you some views of that. In particular, there was a ramp 00:55:00.550 --> 00:55:05.050 to go on the upper level of a parking garage, which, on either 00:55:05.050 --> 00:55:09.550 side of the building – on the right-hand side, you access the lower level. 00:55:09.550 --> 00:55:10.950 On the left-hand side of the building, 00:55:10.950 --> 00:55:14.220 you access the upper level through this ramp. 00:55:14.220 --> 00:55:19.380 But unfortunately, this ramp was not separated from the main structure, 00:55:19.380 --> 00:55:23.200 creating this short column that you see there. 00:55:23.200 --> 00:55:29.140 It has been completely sheared off. And being a corner column, you know, 00:55:29.140 --> 00:55:36.760 it probably has lost part of its vertical carrying capacity, making 00:55:36.760 --> 00:55:46.140 this particular damage – even if it’s just in one element – very severe. 00:55:48.220 --> 00:55:54.780 This is an example about 50 yards from the – from the previous one, 00:55:54.780 --> 00:56:00.960 actually just on the back of the previous one, also near downtown Ponce. 00:56:00.960 --> 00:56:05.070 It’s called the La Abolición – El Condominio Abolición. 00:56:05.070 --> 00:56:11.350 And there you see the front on the left and the back of the building on the right. 00:56:11.350 --> 00:56:17.260 It’s interesting that it’s very common in Puerto Rico to have a concrete 00:56:17.260 --> 00:56:22.970 structure – a concrete frame structure but combined with a steel floor system. 00:56:22.970 --> 00:56:28.980 This is not so common in other Latin American countries. 00:56:28.980 --> 00:56:31.920 But here they combine sometimes joist systems 00:56:31.920 --> 00:56:36.280 with steel deck and concrete slab. 00:56:40.120 --> 00:56:45.480 In this case, the most severe damage occurred at the ground level. 00:56:45.480 --> 00:56:53.200 It has a soft story, as you see there. But in particular, this corner column 00:56:53.200 --> 00:57:00.780 suffered this severe shear failure and therefore, just like the previous building, 00:57:00.780 --> 00:57:06.200 jeopardizes that vertical carrying capacity in that location. 00:57:07.680 --> 00:57:12.420 This is another corner column, also on the back of the building. 00:57:12.420 --> 00:57:16.280 On the image of the left, you don’t see it that bad. 00:57:16.281 --> 00:57:23.540 But if you were to zoom in and – that’s what you would see 00:57:23.540 --> 00:57:26.060 over there on the right. 00:57:30.040 --> 00:57:34.720 I’ll take advantage of this image to say, you know, the importance 00:57:34.720 --> 00:57:39.650 of the interaction of masonry infills with frame structures. 00:57:39.650 --> 00:57:45.910 Very often, when we design the structures, we model the frame 00:57:45.910 --> 00:57:50.530 but not the infill. And – or, even when we model 00:57:50.530 --> 00:57:58.440 this infill with an equivalent diagonal, we don’t take into account that these 00:57:58.440 --> 00:58:04.200 compression struts that form in this could lead to localized crushing 00:58:04.200 --> 00:58:08.680 of the masonry. And even if you don’t have a short column, you end up 00:58:08.680 --> 00:58:13.240 developing a short column once the masonry infills have failed. 00:58:13.240 --> 00:58:19.940 This is another example in Ponce again that suffered severe damage. 00:58:19.940 --> 00:58:24.400 And, you know, look at the size of these buildings and think about the 00:58:24.400 --> 00:58:30.040 number of units that it has – the number of families that are displaced. 00:58:30.040 --> 00:58:35.720 And some of which, I’m sure they’re still displaced because probably 00:58:35.720 --> 00:58:41.550 these structures are not – still cannot be occupied to this date. 00:58:41.550 --> 00:58:45.570 So sometimes some of us, you know, we complain in this quarantine that, 00:58:45.570 --> 00:58:50.369 oh, you know, I’m not able to go to my office. Or I’m not able to do this. 00:58:50.369 --> 00:58:52.840 Well, you know, we’re lucky compared to these people 00:58:52.840 --> 00:58:55.770 when you think about, you know, just being displaced for your residence, 00:58:55.770 --> 00:58:59.080 and you may not be able to return to it. 00:59:02.820 --> 00:59:09.910 Some examples of what earthquakes do and things that we engineers often miss. 00:59:09.910 --> 00:59:14.170 Again, because we model frames and not infills and non-structural 00:59:14.170 --> 00:59:16.960 components that will actually be placed there. 00:59:16.960 --> 00:59:21.760 In this case, you see a number of infills on the left, but I took these images – 00:59:21.760 --> 00:59:31.050 close-up images of the infill where you now open an area for placing 00:59:31.050 --> 00:59:35.300 these air conditioning units, which of course are very necessary in 00:59:35.300 --> 00:59:39.280 Puerto Rico, especially, I suppose, this time of the year. 00:59:39.280 --> 00:59:44.520 And because of that, you create all sorts of stress concentrations. 00:59:44.520 --> 00:59:50.080 And the earthquake will be a very good inspector in finding all of these things 00:59:50.080 --> 00:59:56.760 that the engineer didn’t model and some of the problems that it creates. 00:59:59.400 --> 01:00:02.230 In terms of non-structural components in some of these units, 01:00:02.230 --> 01:00:07.060 I won’t go too much into details. Just wanted to highlight glazing. 01:00:07.080 --> 01:00:13.880 We saw a lot of damage from glazing. And it’s a very common occurrence. 01:00:13.880 --> 01:00:20.440 And we often don’t think about the hazard that this glazing represents. 01:00:20.440 --> 01:00:26.500 Some of this glazing may be falling off from five, seven, eight stories above. 01:00:26.500 --> 01:00:31.320 And when it’s falling, very often, it’s not falling in these little pieces 01:00:31.339 --> 01:00:36.180 that you see in this – in this image. But rather, large pieces. 01:00:36.180 --> 01:00:39.630 And very often, the way they fly, it’s not in the horizontal position 01:00:39.630 --> 01:00:42.720 but in the vertical. And, you know, don’t need 01:00:42.720 --> 01:00:48.600 to go into more description, but it’s obvious what it can happen. 01:00:50.900 --> 01:00:54.450 These are some close-up views of the damage on the other side of the 01:00:54.450 --> 01:01:01.960 building that, again, leads to, you know, a red tag in this case for this building. 01:01:01.960 --> 01:01:06.170 There was not really official red tag on this building when we visited. 01:01:06.170 --> 01:01:11.440 But clearly some engineers had previously visited this and had put 01:01:11.440 --> 01:01:19.140 some informal tagging and not allowing people to go into the structure. 01:01:19.140 --> 01:01:23.170 You do see a number of problems in the detailing of this. 01:01:23.170 --> 01:01:26.349 These columns, for example, you see a rebar showing that the 01:01:26.349 --> 01:01:31.270 splice was done not at [inaudible] height as we often would like to see, 01:01:31.270 --> 01:01:36.090 but rather at the beam-column level. 01:01:36.090 --> 01:01:43.130 You see no stirrups near the beam-column joint and so on. 01:01:43.130 --> 01:01:49.480 This is the neighboring structure – a three-story building with a soft story 01:01:49.480 --> 01:01:53.820 created by the parking garage. But there were several of these, again, 01:01:53.820 --> 01:02:00.540 highlighting how, you know, not only in those residential construction 01:02:00.540 --> 01:02:04.910 of single-family houses that I showed you at the beginning, but it also, 01:02:04.910 --> 01:02:11.450 in these multi-units, where there’s clearly engineering, architecture, and 01:02:11.450 --> 01:02:17.920 good firms that were involved, still they saw significant amount of damage. 01:02:17.920 --> 01:02:23.970 These are some close-up views of the damage of the shear failures that took 01:02:23.970 --> 01:02:31.460 place, and it’s evident the danger in the structure as a result of these failures. 01:02:34.080 --> 01:02:36.640 Moving on to bridges. 01:02:36.640 --> 01:02:43.860 This is the bridge that is instrumented in the city of Ponce. 01:02:43.860 --> 01:02:50.280 It’s an intersection of the main – or one of the main highways – 01:02:50.280 --> 01:02:52.980 toll highways in the island. 01:02:52.980 --> 01:02:58.560 And an intersection that connects the downtown with the Port of Ponce. 01:02:58.560 --> 01:03:01.460 That’s where this bridge is located. 01:03:01.460 --> 01:03:07.280 And it’s instrumented by the University of Puerto Rico in Mayagüez. 01:03:07.280 --> 01:03:13.020 And these are some images that – one of the instruments. 01:03:13.020 --> 01:03:18.460 And so there’s sensors also located over here. 01:03:18.470 --> 01:03:22.790 And this structure in general behaved very well. 01:03:22.790 --> 01:03:27.930 We saw relatively little evidence of motion and deformations 01:03:27.930 --> 01:03:33.240 in this structure. With the exception of some 01:03:33.240 --> 01:03:40.030 small diaphragm elements that are trying to prevent the twist 01:03:40.030 --> 01:03:44.920 and provide lateral torsional resistance to these [inaudible] beams. 01:03:44.920 --> 01:03:49.600 And several of those – or, I would say most of them suffer some damage. 01:03:49.620 --> 01:03:55.420 Here you see some of these little elements that I – that I was referring to. 01:03:55.420 --> 01:03:58.800 And there were several along the span. 01:03:58.800 --> 01:04:02.420 You can see here it’s fairly long-span bridges. 01:04:02.420 --> 01:04:06.640 And that’s where damage occurred. 01:04:06.640 --> 01:04:11.800 The motion recorded at this place was about 0.2 g. 01:04:11.800 --> 01:04:15.390 And, as I mentioned before, in the nearby toll plaza, 01:04:15.390 --> 01:04:17.680 a little bit higher – 0.24. 01:04:17.680 --> 01:04:24.720 This is another view of the bridge. [audio garbled] at the beam. 01:04:24.730 --> 01:04:29.680 Very similar to what you see in older bridges here in California. 01:04:29.680 --> 01:04:36.210 For example, on Highway 101 here on the Bay Area, you see many 01:04:36.210 --> 01:04:41.050 bridges that are very similar to this. This is an example of that damage 01:04:41.050 --> 01:04:45.370 that I was referring to. You know, it doesn’t really create 01:04:45.370 --> 01:04:51.010 a big damage, but some of these chunks of concrete that came off landed on 01:04:51.010 --> 01:04:59.369 the roadway and certainly those pose a hazard to the people driving 01:04:59.369 --> 01:05:05.380 underneath if they were to be driving at the moment of the earthquake. 01:05:05.380 --> 01:05:12.980 This is an image I took from the roof of a condominium building with a nice 01:05:12.980 --> 01:05:20.180 view of the city of Ponce where you see, you know, these small hills, but fairly 01:05:20.180 --> 01:05:29.579 flat city that it’s – it originally had very good – it was an agriculture area 01:05:29.580 --> 01:05:36.980 with very good agricultural soil. But now the city is just growing. 01:05:36.980 --> 01:05:42.200 But, as I mentioned before, many of these sites are Site Class E. 01:05:42.200 --> 01:05:46.270 This viaduct over here, it’s similar to the one that I just showed you. 01:05:46.270 --> 01:05:50.600 This one is not instrumented. But we also carefully documented 01:05:50.600 --> 01:05:56.119 the performance of it. In recent years, in California, 01:05:56.120 --> 01:06:01.480 once heard the chief engineer of Caltrans say that the best joint – 01:06:01.480 --> 01:06:05.760 you know, there are many different types of joints that we use in bridges. 01:06:05.760 --> 01:06:12.240 And he said the best joint is a no joint. Meaning that Caltrans, over the years, 01:06:12.240 --> 01:06:16.369 starting from February 1971 San Fernando earthquake, 01:06:16.369 --> 01:06:19.720 we’ve learned that there’s a lot of problems with joints, 01:06:19.720 --> 01:06:23.940 relative motions, pounding. If the – if the supports are 01:06:23.950 --> 01:06:28.410 not large enough, that the beams come off from the support and so on. 01:06:28.410 --> 01:06:32.750 Many of that has been retrofitted, but in recent bridges, we tend to 01:06:32.750 --> 01:06:40.839 avoid or put at least as possible joints. So this is sort of older designs. 01:06:40.839 --> 01:06:45.140 And it’s sort of reflected of, you know, not having experienced large 01:06:45.140 --> 01:06:51.370 earthquakes for a hundred years. And perhaps not following 01:06:51.370 --> 01:06:55.010 so closely some of the things we do here in California. 01:06:55.010 --> 01:06:59.780 There you see, with arrows, I’m pointing to the – to the joints. 01:07:01.940 --> 01:07:06.960 And similar to the retrofit that was done in the ’80s in California, 01:07:06.970 --> 01:07:13.450 many of these – we saw some evidence of steel cables to 01:07:13.450 --> 01:07:19.440 prevent the beams coming off from the supports. 01:07:19.440 --> 01:07:23.660 And some of that worked fairly well in this event. 01:07:23.660 --> 01:07:27.660 But in general, we saw little evidence of pounding. 01:07:27.660 --> 01:07:33.980 And this is the bridge from underneath. There you see the retrofit in 01:07:33.980 --> 01:07:38.720 all of these locations. These sort of V-shaped steel cables. 01:07:38.720 --> 01:07:45.680 And the main damage that we documented in this structure was, 01:07:45.680 --> 01:07:49.680 again, damage in some of these elements preventing 01:07:49.680 --> 01:07:56.640 lateral torsional motion in these – in these beams. 01:07:56.640 --> 01:08:02.080 But also, in some of the shear keys, that basically transmit the inertia 01:08:02.080 --> 01:08:07.230 forces that are generated mainly on the road surface, and where most 01:08:07.230 --> 01:08:10.480 of the mass – and they bring it down to the [inaudible]. 01:08:10.480 --> 01:08:12.500 And that’s done through these shear keys. 01:08:12.500 --> 01:08:17.370 And most of the shear keys were sheared off. 01:08:17.370 --> 01:08:21.690 Meaning that they didn’t have enough shear capacity. 01:08:21.690 --> 01:08:27.270 But fortunately, the vertical carrying capacity, it’s provided 01:08:27.270 --> 01:08:30.760 mainly by the beams. And this prevented the 01:08:30.760 --> 01:08:34.949 lateral motion to – you know, some deformation obviously 01:08:34.949 --> 01:08:38.790 took place to produce this failure, but it was small enough not to 01:08:38.790 --> 01:08:42.560 cause problems, and there was no partial collapse. 01:08:42.560 --> 01:08:45.739 And actually, as you saw in that image, 01:08:45.739 --> 01:08:53.940 the bridge was not closed, and traffic was still running through the viaduct. 01:08:53.940 --> 01:08:57.969 There you see other examples of damage in the shear keys. 01:08:57.969 --> 01:09:06.860 And in all of this, it also created a lot of interesting new residents on the bridge. 01:09:06.860 --> 01:09:12.529 There were a lot of pigeons who now have their house next to this – 01:09:12.529 --> 01:09:17.839 to the shear keys. Other examples of bridges we visited. 01:09:17.839 --> 01:09:28.549 This is an important bridge that crosses the main toll bridge 01:09:28.549 --> 01:09:32.270 that runs in the south in this part of the island. 01:09:32.270 --> 01:09:38.960 And it has some rocker bearings. It’s supported on these rocker bearings. 01:09:38.960 --> 01:09:42.770 And I’ll show you some details of that. There was evidence of soil 01:09:42.770 --> 01:09:48.049 deformations in the abutments. And some motion in the supports. 01:09:48.049 --> 01:09:56.700 So here you see the vents and cast-in-place superstructure. 01:09:56.700 --> 01:10:00.690 And I’ll show you some details of the rocker bearings whose 01:10:00.690 --> 01:10:05.170 main function is to transmit the vertical load but allow some small 01:10:05.170 --> 01:10:14.120 lateral deformation produced by thermal stresses from changes in temperature. 01:10:14.120 --> 01:10:17.780 And they basically – from their name, they rock back and forth 01:10:17.790 --> 01:10:21.800 and they allow this deformation. But those – especially on their 01:10:21.800 --> 01:10:26.280 larger seismic deformations, they don’t work very well. 01:10:26.280 --> 01:10:30.160 And they may have problems. So, in this case, you see the 01:10:30.170 --> 01:10:35.780 typical view of how these were done. So it’s essentially a very thick 01:10:35.780 --> 01:10:41.980 rectangular steel plate that is able to rock when you impose 01:10:41.980 --> 01:10:43.850 some lateral deformations. 01:10:43.850 --> 01:10:49.370 So these deformations, say, are in the order of 5 millimeters or so, 01:10:49.370 --> 01:10:53.350 there’s absolutely no problem. But, in this case, I estimate that 01:10:53.350 --> 01:10:57.739 something as little as 10 millimeters or half an inch 01:10:57.739 --> 01:11:00.060 would start causing more severe problems. 01:11:00.060 --> 01:11:06.140 The other is they work sort of conceptually well under longitudinal 01:11:06.140 --> 01:11:11.420 deformations that are orthogonal or perpendicular to the plate, 01:11:11.420 --> 01:11:15.580 but they don’t work correctly in the plane of the plate 01:11:15.580 --> 01:11:19.730 and certainly not under torsional deformations. 01:11:19.730 --> 01:11:26.020 So this often manifests, or gives you trouble, at the abutments. 01:11:26.020 --> 01:11:32.800 And the abutments usually will suffer a lot of damage from pounding. 01:11:32.800 --> 01:11:36.860 Here you see some of that. 01:11:36.860 --> 01:11:41.260 But some of the rocker bearings underneath, they can suffer a lot more. 01:11:41.270 --> 01:11:45.110 In particular, this one, we were very careful when we went 01:11:45.110 --> 01:11:49.480 underneath the bridge. Because this was, you know, very close to go. 01:11:49.480 --> 01:11:52.260 And told my group, I said, you know, just be ready. 01:11:52.260 --> 01:11:58.480 If this comes down, you know, it’s not going to go farther than these 4 inches. 01:11:58.480 --> 01:12:03.719 But make sure that your hard hat is lower than 4 inches 01:12:03.720 --> 01:12:09.100 from those beams in case we experience a strong aftershock. 01:12:10.160 --> 01:12:15.000 This is another example. This is an important bridge that 01:12:15.000 --> 01:12:21.190 essentially exits the main toll road and gives access to – is the main 01:12:21.190 --> 01:12:23.620 access to the city of Guayanilla. [small child heard in background] 01:12:23.620 --> 01:12:30.230 It goes above this river. There was some damage here 01:12:30.230 --> 01:12:35.500 as a result of Hurricane Maria. [background quiet again] 01:12:35.500 --> 01:12:38.020 But in this earthquake, we saw some damage. 01:12:38.020 --> 01:12:40.830 On the left abutment, the bridge suffered major damage. 01:12:40.830 --> 01:12:45.300 As a matter of fact, when we got there, it was already being demolished. 01:12:45.300 --> 01:12:50.180 And on the – on the right, we saw some evidence of liquefaction at the base of 01:12:50.180 --> 01:12:58.280 these piers as well as part of the – of the viaduct that gives access to the bridge. 01:12:59.500 --> 01:13:03.460 Very similar to some of the other bridges that I showed you, there 01:13:03.460 --> 01:13:09.420 was significant amount of damage concentrated on the shear keys. 01:13:09.420 --> 01:13:14.880 And almost all of the shear keys exhibited this type of damage. 01:13:14.880 --> 01:13:17.730 Here I’m just showing you some examples. 01:13:17.730 --> 01:13:22.030 These shear keys, I would say they were done, you know, with fairly large 01:13:22.030 --> 01:13:27.780 dimensions, good reinforcement, good confinement, as you see 01:13:27.780 --> 01:13:32.010 in some of these images. And this is not an old bridge, 01:13:32.010 --> 01:13:36.500 and still, it suffered damage. Again, on the back of the envelope, 01:13:36.500 --> 01:13:40.460 you can estimate the shear capacity of some of these, and you can 01:13:40.460 --> 01:13:45.340 corroborate that it’s very large. And you can, you know, essentially 01:13:45.340 --> 01:13:50.670 visualize the large inertial forces that are generated in these structures that 01:13:50.670 --> 01:13:57.200 very often exceed by far some of the forces for which they were designed for. 01:13:57.200 --> 01:14:05.280 And the – something that I teach in my – to my students 01:14:05.280 --> 01:14:09.290 is that the forces don’t really come from this design spectra, 01:14:09.290 --> 01:14:11.170 but they really come from the deformation. 01:14:11.170 --> 01:14:14.300 They’re restoring forces that the structure – 01:14:14.300 --> 01:14:19.180 they’re generating in the structure. There’s no equivalent static loads 01:14:19.190 --> 01:14:23.040 or dynamic loads that are being applied laterally, but rather, 01:14:23.040 --> 01:14:28.040 these are internal forces that are generated as a result of the 01:14:28.040 --> 01:14:31.400 deformations in the structure. So it’s all about estimating 01:14:31.400 --> 01:14:34.460 those deformations. And if you impose those deformations 01:14:34.460 --> 01:14:39.830 on this very stiff element, the result is you generate gigantic forces that very 01:14:39.830 --> 01:14:44.410 often are going to be much larger than then ones we designed them for. 01:14:44.410 --> 01:14:47.040 Here is some evidence of pounding. 01:14:47.040 --> 01:14:51.660 And some evidence of plastic hinging in the top of piers. 01:14:51.660 --> 01:14:57.900 Again, illustrating very good- quality concrete, good detailing, 01:14:57.900 --> 01:15:01.340 excellent confining with helicoidal reinforcement. 01:15:01.340 --> 01:15:07.420 And this is what, you know, you would expect to see in these – 01:15:07.430 --> 01:15:12.340 in these kind of events. But unfortunately, in the abutment 01:15:12.340 --> 01:15:18.200 did not prevent a portion of the bridge to be closed. 01:15:19.620 --> 01:15:24.360 Moving on to more bridges. This is the viaduct in Mayagüez 01:15:24.360 --> 01:15:28.440 that I told you that it was instrumented. 01:15:28.440 --> 01:15:33.540 Unfortunately, the sensors on the structure did not function. 01:15:35.940 --> 01:15:39.590 The main person that, you know, was behind instrumentation and 01:15:39.590 --> 01:15:43.880 the maintenance of the – of the – of this instrumentation unfortunately 01:15:43.880 --> 01:15:50.840 passed away. And perhaps partly of that – as a result of that, 01:15:50.840 --> 01:15:57.440 the instruments did not work, which would have been very valuable. 01:15:57.440 --> 01:16:00.900 But fortunately, the free-field instrument at this location did work. 01:16:00.900 --> 01:16:04.140 And that’s where this 0.19 g was recorded. 01:16:04.140 --> 01:16:08.420 So there are two viaducts at this location – a new and an older one. 01:16:08.420 --> 01:16:12.920 And you see, you know, clearly the difference in diameter 01:16:12.930 --> 01:16:15.930 of the old piers versus the new ones. 01:16:15.930 --> 01:16:20.670 There was some slight damage on the new bridge, but the heavy 01:16:20.670 --> 01:16:25.680 structural damage occurred in some of the vents in the old bridge. 01:16:26.580 --> 01:16:31.300 And here you see a little bit of the difference between the two. 01:16:31.300 --> 01:16:35.800 And I’ll show you some images of the type of damage. 01:16:35.800 --> 01:16:40.840 This was the pier that saw the largest damage of shear failure, 01:16:40.840 --> 01:16:45.710 as you see there. Pretty severe. These kind of failures, again, 01:16:45.710 --> 01:16:50.260 may put in – reduce the vertical carrying capacity of the bridge. 01:16:50.260 --> 01:16:54.720 So that’s why the bridge was closed. 01:16:57.200 --> 01:17:03.520 But similar damage occurred, or at least a little bit less, 01:17:03.530 --> 01:17:07.390 but, you know, with careful inspection, you would see the initiation 01:17:07.390 --> 01:17:10.960 of shear failure in many of these bridge piers. 01:17:12.600 --> 01:17:16.820 This damage led to many bridge closures and traffic disruptions. 01:17:16.820 --> 01:17:23.640 In the case of this main toll highway bridge, they were very lucky that, 01:17:23.640 --> 01:17:28.970 in most locations, there was sort of a local non-toll road that would run 01:17:28.970 --> 01:17:33.120 in parallel, or approximately in parallel, such that people could use that 01:17:33.120 --> 01:17:41.020 other road instead of the main road. But there was one location just west 01:17:41.020 --> 01:17:44.640 of Ponce where there were some landslides, 01:17:44.640 --> 01:17:51.040 and there was no alternate route there. And there were some complete closures 01:17:51.040 --> 01:17:54.910 of the highway for many, many hours. And we were there – 01:17:54.910 --> 01:18:00.489 they were still working on it. But what we did was to try to 01:18:00.489 --> 01:18:06.060 go there in hours where we were expecting less traffic. 01:18:06.060 --> 01:18:11.060 But it took almost a week to clear that area. 01:18:11.060 --> 01:18:16.040 And it just highlights the importance of – you know, 01:18:16.040 --> 01:18:21.100 that it’s not just about avoiding collapse, but many of these bridges, 01:18:21.100 --> 01:18:25.530 we need to study, you know, alternate routes and so on. 01:18:25.530 --> 01:18:28.130 And, based on those, really decide the level of 01:18:28.130 --> 01:18:31.390 performance that they should have. And, in many of these, the level of 01:18:31.390 --> 01:18:35.590 performance should be that they should allow – continue to work, 01:18:35.590 --> 01:18:41.420 especially if there’s no alternate route. Because this is very important for first 01:18:41.420 --> 01:18:49.080 responders, but even for the rest of the population to move to safer – 01:18:49.080 --> 01:18:58.360 to move to shelters, to have their food and supplies, that they reach them. 01:18:59.680 --> 01:19:01.100 I just have a few more slides. 01:19:01.100 --> 01:19:05.920 I wanted to show you some of the structures that are instrumented there. 01:19:05.920 --> 01:19:08.400 These are three buildings that are instrumented. 01:19:08.400 --> 01:19:11.280 But there are a few others. 01:19:11.280 --> 01:19:14.320 First two are in San Juan. And we visit them. 01:19:14.330 --> 01:19:20.420 And the – and the third one is in the city of Mayagüez – this condominium tower. 01:19:20.420 --> 01:19:22.300 The first one, it’s a government building. 01:19:22.300 --> 01:19:25.280 The other two are condominium towers. 01:19:25.280 --> 01:19:28.560 I’ll show you a few details of this structure. 01:19:28.570 --> 01:19:31.739 There are two almost identical towers at this location, 01:19:31.739 --> 01:19:34.940 and only one of them is instrumented. 01:19:34.940 --> 01:19:38.460 It’s only instrumented at the base and at the roof. 01:19:38.460 --> 01:19:44.100 And, of course, we would like to see more sensors and so on, but still, 01:19:44.110 --> 01:19:47.570 having the availability of these few sensors allows to understand 01:19:47.570 --> 01:19:52.110 a lot of things about this structure. 01:19:52.110 --> 01:19:55.230 There you see that layout of the sensors. 01:19:55.230 --> 01:20:00.740 Has a triaxial at the – at the basement level and then several ... 01:20:00.740 --> 01:20:03.420 [audio cuts out] 01:20:03.420 --> 01:20:06.920 ... to measure longitudinal motion, and then two in the transfer direction 01:20:06.920 --> 01:20:11.960 that allow you to capture torsional response. 01:20:11.960 --> 01:20:14.111 We’ve been working in cooperation with the 01:20:14.111 --> 01:20:19.940 University of Puerto Rico-Mayagüez and with USGS mainly with 01:20:19.940 --> 01:20:23.610 Mehmet Celebi and José Antonio Martinez-Cruzado and his team 01:20:23.610 --> 01:20:28.360 on the system identification of these buildings. 01:20:28.360 --> 01:20:32.940 And here I’m just showing you comparisons of recorded and computer 01:20:32.940 --> 01:20:38.440 response that we’ve been computing in this – in this building. 01:20:38.440 --> 01:20:42.750 And these are relative displacements relative to the basement. 01:20:42.750 --> 01:20:49.960 And then these are absolute accelerations where you see interesting 01:20:49.960 --> 01:20:56.330 beating happening and higher frequency at the initiation of the motion. 01:20:56.330 --> 01:21:01.800 Here you see the arrival of the P waves, the S waves. 01:21:01.800 --> 01:21:06.740 Far more participation of higher modes in these 15 seconds than in the rest. 01:21:06.750 --> 01:21:12.290 And these are 1% floor spectra illustrating how we’ve been able to 01:21:12.290 --> 01:21:16.429 capture the response with some of our identified models. 01:21:16.429 --> 01:21:18.520 These are some of the dynamic properties that we’ve 01:21:18.520 --> 01:21:23.530 been identifying in recent years. Some of you have been very interesting 01:21:23.530 --> 01:21:29.900 to learn more about energy dissipation and damping in structures. And this kind 01:21:29.900 --> 01:21:36.540 of instrumentation helps us to further improve our understanding of this. 01:21:36.540 --> 01:21:39.940 This is the structure – the condominium in Mayagüez. 01:21:39.940 --> 01:21:42.900 Very nicely instrumented. 01:21:42.900 --> 01:21:48.740 The people at the University of Puerto Rico-Mayagüez allow us 01:21:48.740 --> 01:21:53.980 through their contacts to have access to this structure and visit it 01:21:53.980 --> 01:22:00.140 and have access to the records, which are publicly available at the – 01:22:00.140 --> 01:22:05.060 at the StrongMotionCenter.org website. 01:22:05.060 --> 01:22:14.520 And, after this earthquake, USGS has produced this very nice sensor map with 01:22:14.530 --> 01:22:20.520 the location of all the instrumentation that allow us to study the structure. 01:22:20.520 --> 01:22:24.080 And these are some of the results that have been produced by 01:22:24.080 --> 01:22:30.960 Dr. Celebi from the structure. And we – independently done the 01:22:30.960 --> 01:22:35.810 system ID, and we have come to almost identical dynamic properties, both in 01:22:35.810 --> 01:22:43.290 terms of frequencies and damping ratios, including torsional response. 01:22:43.290 --> 01:22:47.969 So with this, you know, I would like to wrap up and just 01:22:47.969 --> 01:22:52.880 with a few – leave you with a few observations and conclusions. 01:22:52.880 --> 01:23:00.290 I believe that the occurrence of the sequence provided some sort of, 01:23:00.290 --> 01:23:08.960 you know, benefit, especially the fact that there was that 5.8 on January 6, 01:23:08.960 --> 01:23:14.140 as I mentioned, played a major role in having many of those damaged 01:23:14.140 --> 01:23:17.350 structures – or, even if they were not damaged, people simply 01:23:17.350 --> 01:23:22.719 not living in them – and that resulted what I would describe 01:23:22.720 --> 01:23:27.400 as an outlier on the statistics of collapse-to-fatality ratios. 01:23:27.400 --> 01:23:32.920 And usually we see far more fatalities for that number of collapses that we saw 01:23:32.929 --> 01:23:39.420 in this earthquake. So that’s, you know, a piece of good news from this event. 01:23:39.420 --> 01:23:45.430 I believe that both the free-field and the instrument records that were obtained, 01:23:45.430 --> 01:23:49.420 and that continue to be obtained, are extremely valuable, not only 01:23:49.420 --> 01:23:54.830 for earthquake resistance design in the island, but for many other locations, 01:23:54.830 --> 01:23:59.929 in particular, very valuable for further understanding of structures located 01:23:59.929 --> 01:24:08.640 on soft soil – so these Site Class E – that are very tough to – and give rise 01:24:08.640 --> 01:24:11.739 to very large amplifications, in particular, very large 01:24:11.740 --> 01:24:14.800 displacement and deformation demands. 01:24:16.000 --> 01:24:19.040 The largest damage occurred in residential construction. 01:24:19.040 --> 01:24:29.090 And it was really heart-breaking to see so many families living outside and – 01:24:29.090 --> 01:24:36.140 you know, in the initial days with no water, no food, no power. 01:24:36.140 --> 01:24:41.460 And especially after what they have suffered after Maria. 01:24:41.460 --> 01:24:45.360 And to basically see this happening again. 01:24:45.360 --> 01:24:51.420 And, as we were talking to people in the island, you know, it was very – 01:24:51.420 --> 01:24:57.230 I visited many place after earthquakes, and it was very evident that it was 01:24:57.230 --> 01:25:04.800 sort of like a generalized post-traumatic syndrome kind of situation in which 01:25:04.800 --> 01:25:09.760 people would obviously contrast their experience with hurricanes. 01:25:09.760 --> 01:25:12.440 And people would tell you, you know, with hurricanes, we more or less 01:25:12.440 --> 01:25:15.710 know when it’s going to hit us. With this thing, we don’t. 01:25:15.710 --> 01:25:19.440 And it’s – and the other thing is that, with hurricanes, 01:25:19.440 --> 01:25:22.980 once the eye goes over the island, that’s it. 01:25:22.980 --> 01:25:24.940 Whereas, with this, you know, it’s, like, we don’t know 01:25:24.941 --> 01:25:27.480 when it’s going to be over. And we just keep feeling 01:25:27.480 --> 01:25:29.750 these strong aftershocks. We have no idea when we’re 01:25:29.750 --> 01:25:33.130 going to be able to go back to our houses, when we’re going to 01:25:33.130 --> 01:25:36.610 be safe, if our houses are safe, and so on. 01:25:36.610 --> 01:25:40.400 So I strongly believe that one of the big lessons from this 01:25:40.400 --> 01:25:43.360 is to pay more attention to the level of performance 01:25:43.360 --> 01:25:46.360 for which we design residential construction. 01:25:46.360 --> 01:25:50.440 There has been many, many examples of the thousands of people that are 01:25:50.440 --> 01:25:56.699 displaced from the residences. And I believe that we need to find ways 01:25:56.699 --> 01:26:00.290 of designing for better performance, such as what we now refer to as 01:26:00.290 --> 01:26:03.900 functional recovery, in particular, what in San Francisco we call shelter 01:26:03.900 --> 01:26:07.870 in place, that, even if we allow some damage to take place, 01:26:07.870 --> 01:26:11.320 it’s a smaller amount of damage that allows the residents to 01:26:11.320 --> 01:26:16.380 remain in their houses in the days after the earthquake. 01:26:16.380 --> 01:26:21.730 And I think this is, again, one of the big lessons from this event. 01:26:21.730 --> 01:26:25.840 And finally, something similar in terms of functional recovery. 01:26:25.840 --> 01:26:27.800 It’s for highway bridges. 01:26:27.800 --> 01:26:31.980 And I was very involved in the evaluation of damage to highway 01:26:31.980 --> 01:26:37.110 bridges after the October 17, 1999, Loma Prieta earthquake here 01:26:37.110 --> 01:26:41.699 in the Bay Area. I did some study with some of my classmates 01:26:41.699 --> 01:26:46.150 on the Cypress Street Viaduct. And, to me, it was, you know, 01:26:46.150 --> 01:26:51.730 very revealing that there was not really any – prior to that earthquake, 01:26:51.730 --> 01:26:56.210 there was no classification of the importance of bridges, with exception 01:26:56.210 --> 01:27:00.630 of some of the major, you know, suspension toll bridges. 01:27:00.630 --> 01:27:03.290 The rest of the bridges had the same importance. 01:27:03.290 --> 01:27:08.920 And clearly, depending on the – on the traffic, their location, 01:27:08.920 --> 01:27:14.600 the alternate and redundancy of the network, they should be designed 01:27:14.600 --> 01:27:17.670 for different levels of performance. And many of these, they should 01:27:17.670 --> 01:27:22.920 be designed not to – to remain functional after earthquakes. 01:27:24.030 --> 01:27:28.100 You know, even if that means, you know, reduced space or reduced 01:27:28.110 --> 01:27:34.150 volume of traffic. But allowing some level of traffic is very important. 01:27:34.150 --> 01:27:36.900 And the last point that I – that I mentioned and I would 01:27:36.900 --> 01:27:40.940 like to leave and that you all remember from this presentation is the 01:27:40.940 --> 01:27:46.760 importance of initiating the structural evaluations as soon as possible. 01:27:46.760 --> 01:27:50.950 We often think of other things that are more important. 01:27:50.950 --> 01:27:55.760 You know, certainly, you know, hospitals, medical attention, rescue 01:27:55.760 --> 01:28:00.820 in the case of collapses, and so on. But equally important to initiate these 01:28:00.820 --> 01:28:06.260 structural evaluations as soon as possible because the sooner we initiate 01:28:06.260 --> 01:28:12.140 these, they will allow thousands of people to remain in their houses. 01:28:12.140 --> 01:28:17.570 And very often, what you see are people that are not living in houses that they 01:28:17.570 --> 01:28:20.210 could be occupying, and therefore, they’re taking the place of other 01:28:20.210 --> 01:28:23.350 people in the shelter that they need it more than them. 01:28:23.350 --> 01:28:27.140 But, on the other hand, you have people that are living in residences 01:28:27.140 --> 01:28:32.530 that they shouldn’t be living in. And we need to sort of be better 01:28:32.530 --> 01:28:41.820 prepared in training the people and have the organization to get this going. 01:28:41.820 --> 01:28:49.660 And fortunately, FEMA has done a great job in improving this as a result of this. 01:28:49.660 --> 01:28:53.080 And they’re doing a great job in the island. 01:28:53.080 --> 01:28:57.160 There’s a couple of reports of, some of you want more information 01:28:57.179 --> 01:29:01.489 that StEER – this Structural Extreme Event Reconnaissance 01:29:01.489 --> 01:29:05.760 organization that I’m proud to be part of – produced. 01:29:05.760 --> 01:29:12.200 The first one on the left was a Virtual Reconnaissance Report. 01:29:12.200 --> 01:29:17.290 This organization does virtual reconnaissance, and they’ve been 01:29:17.290 --> 01:29:21.810 doing it for a long time, even before this quarantine or before doing 01:29:21.810 --> 01:29:27.640 virtual everything was trendy. We were already producing these ones. 01:29:27.640 --> 01:29:30.600 And we simply gather and organize the information available from 01:29:30.600 --> 01:29:36.030 different sources but put them in the same place in an organized way and 01:29:36.030 --> 01:29:41.670 gathering information for newspapers and technical sources and whatnot. 01:29:41.670 --> 01:29:47.020 And then the Early Access Reconnaissance Report that 01:29:47.020 --> 01:29:50.630 resulted form our visit there that you see on the right. 01:29:50.630 --> 01:29:53.310 Both of them are publicly available from different sources. 01:29:53.310 --> 01:29:58.630 You can download this from the StEER – the DesignSafe website. 01:29:58.630 --> 01:30:01.730 Also from the Stanford Blume Center and from the 01:30:01.730 --> 01:30:05.870 EERI Clearinghouse for this event. 01:30:05.870 --> 01:30:09.690 And with that, I thank you very much for your attention. 01:30:09.690 --> 01:30:15.820 And if you have some questions, I’ll be happy to try to answer them. 01:30:18.020 --> 01:30:23.880 - Thank you very much. Thank you to everyone for attending. 01:30:23.880 --> 01:30:27.770 I just wanted to let our speaker and everyone else know that this was a very 01:30:27.770 --> 01:30:33.980 well-attended seminar that, at certain points, we had up to 180 people on. 01:30:33.980 --> 01:30:41.780 And they came from as far away as Puerto Rico, Mexico, even Japan. 01:30:41.780 --> 01:30:45.480 So this was pretty great. 01:30:45.480 --> 01:30:52.050 We have a question for Eduardo, which is from one of our attendees. 01:30:52.050 --> 01:30:56.760 How important is multi-hazard planning now in this era of multiple hazards? 01:30:57.340 --> 01:31:02.920 - I think it’s always important, but, you know, if I – if I would say 01:31:02.920 --> 01:31:07.260 sort of like the poster example of multi-hazard, 01:31:07.260 --> 01:31:09.460 it’s got to be the Caribbean. 01:31:09.460 --> 01:31:15.480 This became very clear after I visited Port-au-Prince in 2010. 01:31:15.480 --> 01:31:21.290 But it reminded me again on this trip to Puerto Rico. 01:31:21.290 --> 01:31:24.739 But there are many other locations where this happens. 01:31:24.739 --> 01:31:29.260 Hawaii is another perfect example, where you have tsunamis, 01:31:29.260 --> 01:31:34.480 volcanoes, earthquakes, and hurricanes as well. 01:31:34.480 --> 01:31:40.010 And it’s very challenging because very often what you need to protect 01:31:40.010 --> 01:31:46.630 for one comes – sort of doesn’t help you for the other, 01:31:46.630 --> 01:31:50.760 especially with aspects related to mass, as I mentioned. 01:31:51.680 --> 01:31:57.180 You know, one of the things – I had the opportunity to visit the Port of Ponce 01:31:57.180 --> 01:32:03.440 and still document some of the damage from Maria in some of the warehouses. 01:32:03.440 --> 01:32:10.260 And I was telling my colleagues who teach steel structures – I was 01:32:10.260 --> 01:32:14.679 just taking – I took, I think, over 200 images from this – from this 01:32:14.679 --> 01:32:20.190 warehouse, which I sort of refer to as the museum of buckling. 01:32:20.190 --> 01:32:25.870 And I think this [audio garbled] Euler, you know, it was 01:32:25.870 --> 01:32:29.410 well-represented in this. And it was just like seeing 01:32:29.410 --> 01:32:34.240 all his theories on buckling represented in every diagonal, 01:32:34.240 --> 01:32:40.040 every element, of all these trusses in this structure. 01:32:40.040 --> 01:32:44.860 And the amount of destruction that took place in what otherwise 01:32:44.860 --> 01:32:49.220 looked like very strong and well-designed steel trusses. 01:32:51.200 --> 01:32:57.120 - Great. Well, that seems to be it. That wraps up our seminar today. 01:32:57.120 --> 01:33:02.060 Thank you, everyone, for attending. Hope to see you again. 01:33:03.140 --> 01:33:05.360 - Thank you. - Thank you, everyone. 01:33:05.360 --> 01:33:07.540 - Thank you. - Thank you. 01:33:08.260 --> 01:33:11.720 [Silence] 01:33:11.720 --> 01:33:12.820 - Thank you. 01:33:14.180 --> 01:33:15.440 - Thank you. 01:33:15.780 --> 01:33:17.140 - Thank you. 01:33:17.140 --> 01:33:18.840 - Thank you from Puerto Rico. 01:33:18.840 --> 01:33:20.760 - Thank you. - [inaudible] 01:33:21.240 --> 01:33:23.500 - Thank you from Ecuador. - Thank you from Mexico. 01:33:24.140 --> 01:33:26.700 - Thank you, Professor Miranda. See you. 01:33:28.400 --> 01:33:29.600 - You’re welcome. - Thank you all. 01:33:29.600 --> 01:33:31.380 Wonderful job. Love it. - Good seeing you all. 01:33:31.380 --> 01:33:32.140 - [inaudible]