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Earthquakes and Seismic Design

       By Dr. N. Subramanian
           3rd Nov. 2012
Cross-section of Earth




Though we have explored Space above ground extensively, we
could go only about 7.6 miles below ground! Russian
geologists started drilling into the Kola Peninsula, near
Finland, in 1970 and after 22 years could not proceed further.
Plate tectonics- Alfred Wegener
             , 1912




            Dr. N. Subramanian
Plate tectonics (PT)
 Earlier theories assume gradual shrinking
  (contraction) or gradual expansion of the globe.
 PT is based on continental drift & developed in early
  20th century
 Lithosphere is broken up into 7-8 major tectonic
  plates, and numerous smaller plates
 Tectonic plates move – because lithosphere has a
  higher strength and lower density than the underlying
  asthenosphere- Dissipation of heat from the mantle is
  the source of energy
 Lateral relative movement of the plates- 0 to 100 mm
  annually

                       Dr. N. Subramanian
Three types of plate boundaries exist




               Dr. N. Subramanian
Global earthquake epicenters, 1963–
               1998




              Dr. N. Subramanian
Aerial view of San Andreas Fault in the Carrizo
        Plain, northwest of Los Angeles




                   Dr. N. Subramanian
Earthquakes
• Around 500,000 earthquakes occur each
  year, detectable with current instrumentation.
  About 100,000 of these can be felt.
• Human activities that produce minor
  earthquakes:
  – Storage of large water behind a dam,
  – Injecting liquid under high pressure into wells
    (fracking to extract natural gas),
  – Coal mining
  – Oil drilling

                       Dr. N. Subramanian
Recurrence of Earthquakes
• Average recurrence of Earthquakes are:
  – Earthquake of M3.7–4.6 every year,
  – Earthquake of M4.7–5.5 every 10 years,
  – Earthquake of 5.6 or larger every 100 years.
• The United States Geological Survey
  estimates that, since 1900, there have been
  an average of 18 major earthquakes (M 7.0–
  7.9) and one great earthquake (M 8.0 or
  greater) per year.

                      Dr. N. Subramanian
Aftershocks
 An aftershock is an earthquake that occurs after a
  previous earthquake, the mainshock.
 It occurs in the same region of the main shock but
  always of a smaller magnitude.
 If it is larger than the main shock, the aftershock is
  redesignated as the main shock and the original main
  shock is redesignated as a foreshock.
 Formed as the crust around the displaced fault plane
  adjusts to the effects of the main shock
 They are dangerous - usually unpredictable, can be of
  a large magnitude, and can collapse buildings that are
  damaged from the main shock

                       Dr. N. Subramanian
Earthquakes-Epicenter




Epicenter is the point on the Earth's surface that is directly above the
hypocenter (where the Strain energy stored in the rock is first released)

                                Dr. N. Subramanian
EARTHQUAKES




   Dr.N.Subramanian   12
Earthquake Prediction Instrument...
       from ancient China




              Dr. N. Subramanian
Seismograph is used to measure wave
             amplitude




              Dr. N. Subramanian
Can we predict earthquakes
               correctly?
• Long ago, Catholic Church in Rome condemned
  Galileo Galilei and put him under house arrest
  for teaching ‘Earth revolves around the sun’!

• Now, (Oct 22, 2012) an Italian court convicted
  seven scientists and experts for 6 years in prison
  for failing to adequately warn citizens before an
  earthquake struck central Italy in 2009, killing
  more than 300 people.
                     Dr. N. Subramanian
Can we predict earthquakes
              correctly?
• Scientists generally cannot predict the
  time, location and magnitude of EQ - But they
  did it once!
• On Feb. 4, 1975, seismologists issued a warning
  to residents of Haicheng in northeastern
  China, prompting people to seek safety
  outdoors.
  – A M7.3- EQ struck that evening, killing more than
    2,000 people and destroying more than 90 percent of
    the city.
  – Without the warning, about 150,000 people would
    have died!
                      Dr. N. Subramanian
Characteristics of an Earthquake




             Dr. N. Subramanian
As the “quality” of the sediment decreases,
   the amplitude of the waves increases




                 Dr. N. Subramanian
Magnitude: Richter scale- Californian seismologist
          Charles F. Richter, in 1930s




                    Dr. N. Subramanian
P and S waves and Magnitude
• P waves are the first to arrive due to their high
  displacement speed,
• Followed by the S waves.
 Two parameters that determine magnitude:
• The time delay between the arrival of the first P
  waves and S waves(proportional to the distance
  between the seismograph and the hypocentre of the
  earthquake), and
• Their amplitude.


                     Dr. N. Subramanian
P and S waves




   Dr. N. Subramanian
Graphical solution of the mathematical formula for
determining magnitude on the Richter scale




                      Dr. N. Subramanian
Intensity of earthquakes
• Modified Mercalli Intensity scale (MMI) and
  MSK scale (Appendix D of Draft IS 1893)
• Initially developed early last century by
  Giuseppe Mercalli.
• Both have twelve levels of intensity
  – Level I – least perceptive
  – Level XII – most severe


                       Dr. N. Subramanian
Factors Influencing Seismic Damage
The following factors influence the
seismic damage:
Peak Ground Acceleration (PGA)
 Amplitude,
 Duration and frequency of ground
         vibration,
 Magnitude,
 Distance from epicenter
 Geographical conditions between
         the epicenter and the site,
 Soil properties at the site and
         foundation type
Building type and characteristics.



                                                 Damage to a Steel building in
                              Dr.N.Subramanian   Mexico City, 1985        24
Lateral Force Resisting Systems




            Dr.N.Subramanian      25
Better Performance in Earthquakes




      Have simple and regular Plans
                Dr.N.Subramanian      26
Collapse of L-shaped building in
      Ahmedabad, 2001




            Dr. N. Subramanian
Avoid Irregular Configurations




            Dr.N.Subramanian     28
Avoid Novel Structural Features
(If their EQ behavior is not known)




              Dr.N.Subramanian        29
Geometric vulnerabilities
  - CCTV Tower, China




         Dr. N. Subramanian
Response Spectra for Different Strong
           Earthquakes




               Dr.N.Subramanian     31
Response Acceleration coefficient as
   given in IS 1893 (Part 1)-2002




 Smoothened Elastic Design Acceleration
 Response Spectrum (SEDRS) for 5% damping.
 For Steel structures use 2% damping

                        Dr.N.Subramanian     32
SEISMIC ZONES OF INDIA




        Dr.N.Subramanian   33
Probabilistic Seismic Hazard Map
           (PSHM) of India
• The National Disaster Management
  Authority, Govt. Of India, New Delhi has also
  developed a Probabilistic Seismic Hazard
  Map (PSHM) of India
•
  http://ndma.gov.in/ndma/disaster/earthquak
  e/India-psha-finalreport.pdf


                   Dr. N. Subramanian
Equivalent Lateral Base Shear Force
              Procedure
Equivalent Lateral Base Shear Force :

Where Z= zone factor, I = importance factor, and R= Response reduction Factor




  I = 1.5 for largely
  crowded and imp.
  Buildings, and
  equal to 1.0 for
  other buildings.




                                Dr.N.Subramanian                           35
Approximate Fundamental Period
The approximate fundamental natural period of vibration for a
moment resisting frame without brick infill panels is :

Ta = 0.085 h0.75 in seconds

where h = height of the building in m

For all other buildings, including moment resisting frame
buildings with brick in-fill,

Ta = 0.09h / √d in seconds


where d = base dimension of the building at the plinth
level, along the considered direction of the lateral force, in
meters.
                              Dr.N.Subramanian                   36
Equivalent Static Method
   (seismic coefficient method)
Total design seismic base shear if determined by

       VB = Ah W

Ah = Design horizontal acceleration spectrum value
W = Seismic weight of the building




                      Dr.N.Subramanian               37
Fundamental natural periods of
        structures differ over a large range




Adapted from: Newmark, (1970), Current trends in the Seismic Analysis and Design of High
Rise Structures, Chapter 16, in Wiegel, (1970), Earthquake Engineering, Prentice Hall, USA.

                                       Dr. N. Subramanian
Distribution of Base Shear to
     Different Levels of the Building
 After the base shear force VB is determined it should be
  distributed along the height of the building (to the
  various floor levels) using the following expression:




         After the Base shear is distributed, the frames may
         be analyzed by any standard computer program to
         get the internal forces!
                           Dr.N.Subramanian                    39
Dynamic Analysis
The dynamic analysis methods are grouped into:
Response spectrum method (multistory
  buildings, irregular buildings, overhead water ranks
  and bridge piers are often designed using this
  method)
 Time-history response analysis (most important
  structures such as nuclear reactors, large span
  structures or very tall buildings are designed using this
  method).



                         Dr.N.Subramanian                 40
EARTHQUAKE DESIGN PHILOSOPHY
The seismic design philosophy as per IS 1893(part 1) is:

 Minor and frequent earthquakes should not cause any damage to
  the structure
 Moderate earthquakes should not cause significant structural
  damage but could have some non-structural damage
 Major and infrequent earthquakes should not cause collapse

Hence design is done for much smaller forces than actual seismic
  loads.
Note that this approach is different than that adopted in the case of
  wind, dead, live and other loads, where the structure is designed
  for the actual loads.


                              Dr.N.Subramanian                          41
Earthquake design philosophy




           Dr. N. Subramanian
Seismic Design Philosophy
Though the structure is designed for reduced earthquake loads, the
following contributing factors will prevent the collapse of the structure:

Over-strength,
Redundancy,
Ductility




                               Dr.N.Subramanian                          43
Ductile and Brittle performance




            Dr. N. Subramanian
CURRENT DESIGN CODES
Expected Performance:
The design requirements primarily are intended
to safeguard against major failures and loss of
life, NOT to limit damage, maintain functions, or
provide for easy repairs.




                      Dr.N.Subramanian              45
Performance Based Design (PBD)
Future (PBD) Codes will be based on:
Desired performance chosen by owner.
Reduced business interruption
Reduced damage costs

Current Performance based design documents:
 Vision 2000
 FEMA 356/273
 ATC 40
 FEMA 310


                  Dr.N.Subramanian        46
Load Combinations
In general consider the 8- load combinations:

(1) 1.5 (DL + IL) + 1.05(CL or SL)
(2) 1.2 (DL + IL) + 1.05(CL or SL) ± 0.6(WL or EL)
(3) 1.2 (DL + IL ± WL or EL) + 0.53 (CL or SL)
(4) 1.5(DL ± WL or EL)
(5) 0.9 DL ± 1.5 (WL or EL)
(6) 1.2 (DL + ER)
(7) 0.9DL + 1.2 ER
(8) DL + 0.35(IL + CL or SL) + AL

Where, DL = Dead load, IL = imposed load (live load),
 WL = wind load, SL = snow load, CL = crane load
 (vertical / horizontal), AL = accidental load, ER =
 erection load and EL = earthquake load.


                                     Dr.N.Subramanian   47
Loading Combination for Non-
          orthogonal buildings
Eight additional possibilities
  should also be considered.
(1) ELx + 0.3 ELy
(2) 0.3ELx + ELy
(3) ELx – 0.3ELy
(4) 0.3ELx - ELy
(5) – (ELx + 0.3ELy
(6) (0.3ELx + ELy)
(7) – (ELx – 0.3ELy)
(8) – (0.3ELx – ELy)
                       Dr.N.Subramanian   48
Dr. N. Subramanian
Dr. N. Subramanian
Seismically Active regions in India




              Dr. N. Subramanian
Past Earthquakes in India


                      Four Great
                      earthquakes (M>8)
                      occurred in a span of
                      53 years from 1897 to
                      1950; the January
                      2001 Bhuj earthquake
                      (M7.7) is almost as
                      large
         Dr. N. Subramanian
Past Earthquakes in India




         Dr. N. Subramanian
Dr. N. Subramanian

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Slides Earthquake Resistant design part1

  • 1. Earthquakes and Seismic Design By Dr. N. Subramanian 3rd Nov. 2012
  • 2. Cross-section of Earth Though we have explored Space above ground extensively, we could go only about 7.6 miles below ground! Russian geologists started drilling into the Kola Peninsula, near Finland, in 1970 and after 22 years could not proceed further.
  • 3. Plate tectonics- Alfred Wegener , 1912 Dr. N. Subramanian
  • 4. Plate tectonics (PT)  Earlier theories assume gradual shrinking (contraction) or gradual expansion of the globe.  PT is based on continental drift & developed in early 20th century  Lithosphere is broken up into 7-8 major tectonic plates, and numerous smaller plates  Tectonic plates move – because lithosphere has a higher strength and lower density than the underlying asthenosphere- Dissipation of heat from the mantle is the source of energy  Lateral relative movement of the plates- 0 to 100 mm annually Dr. N. Subramanian
  • 5. Three types of plate boundaries exist Dr. N. Subramanian
  • 6. Global earthquake epicenters, 1963– 1998 Dr. N. Subramanian
  • 7. Aerial view of San Andreas Fault in the Carrizo Plain, northwest of Los Angeles Dr. N. Subramanian
  • 8. Earthquakes • Around 500,000 earthquakes occur each year, detectable with current instrumentation. About 100,000 of these can be felt. • Human activities that produce minor earthquakes: – Storage of large water behind a dam, – Injecting liquid under high pressure into wells (fracking to extract natural gas), – Coal mining – Oil drilling Dr. N. Subramanian
  • 9. Recurrence of Earthquakes • Average recurrence of Earthquakes are: – Earthquake of M3.7–4.6 every year, – Earthquake of M4.7–5.5 every 10 years, – Earthquake of 5.6 or larger every 100 years. • The United States Geological Survey estimates that, since 1900, there have been an average of 18 major earthquakes (M 7.0– 7.9) and one great earthquake (M 8.0 or greater) per year. Dr. N. Subramanian
  • 10. Aftershocks  An aftershock is an earthquake that occurs after a previous earthquake, the mainshock.  It occurs in the same region of the main shock but always of a smaller magnitude.  If it is larger than the main shock, the aftershock is redesignated as the main shock and the original main shock is redesignated as a foreshock.  Formed as the crust around the displaced fault plane adjusts to the effects of the main shock  They are dangerous - usually unpredictable, can be of a large magnitude, and can collapse buildings that are damaged from the main shock Dr. N. Subramanian
  • 11. Earthquakes-Epicenter Epicenter is the point on the Earth's surface that is directly above the hypocenter (where the Strain energy stored in the rock is first released) Dr. N. Subramanian
  • 12. EARTHQUAKES Dr.N.Subramanian 12
  • 13. Earthquake Prediction Instrument... from ancient China Dr. N. Subramanian
  • 14. Seismograph is used to measure wave amplitude Dr. N. Subramanian
  • 15. Can we predict earthquakes correctly? • Long ago, Catholic Church in Rome condemned Galileo Galilei and put him under house arrest for teaching ‘Earth revolves around the sun’! • Now, (Oct 22, 2012) an Italian court convicted seven scientists and experts for 6 years in prison for failing to adequately warn citizens before an earthquake struck central Italy in 2009, killing more than 300 people. Dr. N. Subramanian
  • 16. Can we predict earthquakes correctly? • Scientists generally cannot predict the time, location and magnitude of EQ - But they did it once! • On Feb. 4, 1975, seismologists issued a warning to residents of Haicheng in northeastern China, prompting people to seek safety outdoors. – A M7.3- EQ struck that evening, killing more than 2,000 people and destroying more than 90 percent of the city. – Without the warning, about 150,000 people would have died! Dr. N. Subramanian
  • 17. Characteristics of an Earthquake Dr. N. Subramanian
  • 18. As the “quality” of the sediment decreases, the amplitude of the waves increases Dr. N. Subramanian
  • 19. Magnitude: Richter scale- Californian seismologist Charles F. Richter, in 1930s Dr. N. Subramanian
  • 20. P and S waves and Magnitude • P waves are the first to arrive due to their high displacement speed, • Followed by the S waves. Two parameters that determine magnitude: • The time delay between the arrival of the first P waves and S waves(proportional to the distance between the seismograph and the hypocentre of the earthquake), and • Their amplitude. Dr. N. Subramanian
  • 21. P and S waves Dr. N. Subramanian
  • 22. Graphical solution of the mathematical formula for determining magnitude on the Richter scale Dr. N. Subramanian
  • 23. Intensity of earthquakes • Modified Mercalli Intensity scale (MMI) and MSK scale (Appendix D of Draft IS 1893) • Initially developed early last century by Giuseppe Mercalli. • Both have twelve levels of intensity – Level I – least perceptive – Level XII – most severe Dr. N. Subramanian
  • 24. Factors Influencing Seismic Damage The following factors influence the seismic damage: Peak Ground Acceleration (PGA)  Amplitude,  Duration and frequency of ground vibration,  Magnitude,  Distance from epicenter  Geographical conditions between the epicenter and the site,  Soil properties at the site and foundation type Building type and characteristics. Damage to a Steel building in Dr.N.Subramanian Mexico City, 1985 24
  • 25. Lateral Force Resisting Systems Dr.N.Subramanian 25
  • 26. Better Performance in Earthquakes Have simple and regular Plans Dr.N.Subramanian 26
  • 27. Collapse of L-shaped building in Ahmedabad, 2001 Dr. N. Subramanian
  • 28. Avoid Irregular Configurations Dr.N.Subramanian 28
  • 29. Avoid Novel Structural Features (If their EQ behavior is not known) Dr.N.Subramanian 29
  • 30. Geometric vulnerabilities - CCTV Tower, China Dr. N. Subramanian
  • 31. Response Spectra for Different Strong Earthquakes Dr.N.Subramanian 31
  • 32. Response Acceleration coefficient as given in IS 1893 (Part 1)-2002 Smoothened Elastic Design Acceleration Response Spectrum (SEDRS) for 5% damping. For Steel structures use 2% damping Dr.N.Subramanian 32
  • 33. SEISMIC ZONES OF INDIA Dr.N.Subramanian 33
  • 34. Probabilistic Seismic Hazard Map (PSHM) of India • The National Disaster Management Authority, Govt. Of India, New Delhi has also developed a Probabilistic Seismic Hazard Map (PSHM) of India • http://ndma.gov.in/ndma/disaster/earthquak e/India-psha-finalreport.pdf Dr. N. Subramanian
  • 35. Equivalent Lateral Base Shear Force Procedure Equivalent Lateral Base Shear Force : Where Z= zone factor, I = importance factor, and R= Response reduction Factor I = 1.5 for largely crowded and imp. Buildings, and equal to 1.0 for other buildings. Dr.N.Subramanian 35
  • 36. Approximate Fundamental Period The approximate fundamental natural period of vibration for a moment resisting frame without brick infill panels is : Ta = 0.085 h0.75 in seconds where h = height of the building in m For all other buildings, including moment resisting frame buildings with brick in-fill, Ta = 0.09h / √d in seconds where d = base dimension of the building at the plinth level, along the considered direction of the lateral force, in meters. Dr.N.Subramanian 36
  • 37. Equivalent Static Method (seismic coefficient method) Total design seismic base shear if determined by VB = Ah W Ah = Design horizontal acceleration spectrum value W = Seismic weight of the building Dr.N.Subramanian 37
  • 38. Fundamental natural periods of structures differ over a large range Adapted from: Newmark, (1970), Current trends in the Seismic Analysis and Design of High Rise Structures, Chapter 16, in Wiegel, (1970), Earthquake Engineering, Prentice Hall, USA. Dr. N. Subramanian
  • 39. Distribution of Base Shear to Different Levels of the Building  After the base shear force VB is determined it should be distributed along the height of the building (to the various floor levels) using the following expression: After the Base shear is distributed, the frames may be analyzed by any standard computer program to get the internal forces! Dr.N.Subramanian 39
  • 40. Dynamic Analysis The dynamic analysis methods are grouped into: Response spectrum method (multistory buildings, irregular buildings, overhead water ranks and bridge piers are often designed using this method)  Time-history response analysis (most important structures such as nuclear reactors, large span structures or very tall buildings are designed using this method). Dr.N.Subramanian 40
  • 41. EARTHQUAKE DESIGN PHILOSOPHY The seismic design philosophy as per IS 1893(part 1) is:  Minor and frequent earthquakes should not cause any damage to the structure  Moderate earthquakes should not cause significant structural damage but could have some non-structural damage  Major and infrequent earthquakes should not cause collapse Hence design is done for much smaller forces than actual seismic loads. Note that this approach is different than that adopted in the case of wind, dead, live and other loads, where the structure is designed for the actual loads. Dr.N.Subramanian 41
  • 42. Earthquake design philosophy Dr. N. Subramanian
  • 43. Seismic Design Philosophy Though the structure is designed for reduced earthquake loads, the following contributing factors will prevent the collapse of the structure: Over-strength, Redundancy, Ductility Dr.N.Subramanian 43
  • 44. Ductile and Brittle performance Dr. N. Subramanian
  • 45. CURRENT DESIGN CODES Expected Performance: The design requirements primarily are intended to safeguard against major failures and loss of life, NOT to limit damage, maintain functions, or provide for easy repairs. Dr.N.Subramanian 45
  • 46. Performance Based Design (PBD) Future (PBD) Codes will be based on: Desired performance chosen by owner. Reduced business interruption Reduced damage costs Current Performance based design documents: Vision 2000 FEMA 356/273 ATC 40 FEMA 310 Dr.N.Subramanian 46
  • 47. Load Combinations In general consider the 8- load combinations: (1) 1.5 (DL + IL) + 1.05(CL or SL) (2) 1.2 (DL + IL) + 1.05(CL or SL) ± 0.6(WL or EL) (3) 1.2 (DL + IL ± WL or EL) + 0.53 (CL or SL) (4) 1.5(DL ± WL or EL) (5) 0.9 DL ± 1.5 (WL or EL) (6) 1.2 (DL + ER) (7) 0.9DL + 1.2 ER (8) DL + 0.35(IL + CL or SL) + AL Where, DL = Dead load, IL = imposed load (live load), WL = wind load, SL = snow load, CL = crane load (vertical / horizontal), AL = accidental load, ER = erection load and EL = earthquake load. Dr.N.Subramanian 47
  • 48. Loading Combination for Non- orthogonal buildings Eight additional possibilities should also be considered. (1) ELx + 0.3 ELy (2) 0.3ELx + ELy (3) ELx – 0.3ELy (4) 0.3ELx - ELy (5) – (ELx + 0.3ELy (6) (0.3ELx + ELy) (7) – (ELx – 0.3ELy) (8) – (0.3ELx – ELy) Dr.N.Subramanian 48
  • 51. Seismically Active regions in India Dr. N. Subramanian
  • 52. Past Earthquakes in India Four Great earthquakes (M>8) occurred in a span of 53 years from 1897 to 1950; the January 2001 Bhuj earthquake (M7.7) is almost as large Dr. N. Subramanian
  • 53. Past Earthquakes in India Dr. N. Subramanian