Lumped mass model Seismic Analysis of Multistoried RC

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Lumped mass model Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Lumped mass model Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Natural Frequencies EIGEN VALUES MODAL ANALSYS EIGEN VECTORS Mode Shapes

Natural Frequencies EIGEN VALUES MODAL ANALSYS EIGEN VECTORS Mode Shapes

Mode 1 Freq. = 1. 44119 Hz Period = 0. 69387 sec Mode shape

Mode 1 Freq. = 1. 44119 Hz Period = 0. 69387 sec Mode shape = 0 0. 1513 0. 3687 0. 5796 0. 7631 0. 9059 1 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Mode 2 Freq. = 4. 51039 Hz Period = 0. 22171 sec Mode shape

Mode 2 Freq. = 4. 51039 Hz Period = 0. 22171 sec Mode shape = 0 -0. 5293 -1 -0. 9604 -0. 4110 0. 36629 0. 98395 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Mode 3 Freq. = 8. 09847 Hz Period = 0. 12348 sec Mode shape

Mode 3 Freq. = 8. 09847 Hz Period = 0. 12348 sec Mode shape = 0 0. 82371 0. 86138 -0. 23909 -1 -0. 38232 0. 8038 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Mode 4 Freq. = 11. 78133 Hz Period = 0. 08488 sec Mode shape

Mode 4 Freq. = 11. 78133 Hz Period = 0. 08488 sec Mode shape = 0 -1 -0. 04656 0. 99903 -0. 2653 -0. 90232 0. 60635 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Mode 5 Freq. = 15. 30924 Hz Period = 0. 06532 sec Mode shape

Mode 5 Freq. = 15. 30924 Hz Period = 0. 06532 sec Mode shape = 0 1 -0. 8364 0. 02677 0. 8128 -0. 98924 0. 41538 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Modes I Levels II IV V Mode Shapes 1 0 0 0 2 0.

Modes I Levels II IV V Mode Shapes 1 0 0 0 2 0. 151 -0. 53 0. 824 -1 1 3 0. 369 -1 0. 861 -0. 047 -0. 836 4 0. 58 -0. 96 -0. 24 0. 999 0. 027 5 0. 763 -0. 41 -1 -0. 265 0. 813 6 0. 906 0. 366 -0. 38 -0. 902 -0. 989 7 1 0. 984 0. 804 0. 606 0. 415 Period (sec) 0. 694 0. 222 0. 123 0. 085 0. 065 Freq(Hz) 1. 441 4. 51 8. 098 11. 78 15. 31 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Check Mass Participation (7. 8. 4. 5(a), IS: 1893(Part 1)-2002) For kth mode, Where,

Check Mass Participation (7. 8. 4. 5(a), IS: 1893(Part 1)-2002) For kth mode, Where, n = no. of levels m = no. of modes Mode Mk(k. N) I II IV V 115. 5 16. 31 5. 424 2. 686 1. 237 Participating mass =115. 5+16. 31+5. 424+2. 686+1. 237=141. 183 k. N Total mass = 23. 57 x 6 = 141. 42 k. N Mass participation = 100 x 141. 183/141. 42 = 99. 8326% Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Calculate Mode Participation factors (7. 8. 4. 5(b), IS: 1893(Part 1)-2002) For kth mode,

Calculate Mode Participation factors (7. 8. 4. 5(b), IS: 1893(Part 1)-2002) For kth mode, Where, n = no. of levels Mode Pk I II IV V 1. 30049 -0. 44635 0. 26529 -0. 18718 0. 12223 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Calculate Mode Participation factors = + + + x 0. 12223 + x -0.

Calculate Mode Participation factors = + + + x 0. 12223 + x -0. 18718 x 0. 26529 x -0. 44635 x 1. 30049 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Calculate Mode Participation factors = (Had all the mode shapes been utilized) Seismic Analysis

Calculate Mode Participation factors = (Had all the mode shapes been utilized) Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Modes I II IV V Φ’s WΦ W 1 0 0 0 2 0.

Modes I II IV V Φ’s WΦ W 1 0 0 0 2 0. 1513 -0. 5293 0. 8237 -1 1 23. 57 3. 566 -12. 48 19. 415 -23. 57 3 0. 3688 -1 0. 8614 -0. 0466 -0. 8364 23. 57 8. 692 -23. 57 20. 303 -1. 097 -19. 71 4 0. 5796 -0. 9604 -0. 239 0. 999 0. 0268 23. 57 13. 66 -22. 64 -5. 6354 23. 547 0. 631 5 0. 7631 -0. 4111 -1 -0. 2653 0. 8128 23. 57 17. 99 -9. 689 -23. 57 -6. 253 19. 16 6 0. 906 0. 3663 -0. 382 -0. 9023 -0. 9892 23. 57 21. 35 8. 6335 -9. 0113 -21. 27 -23. 32 7 1 0. 984 0. 8038 0. 6064 0. 4154 23. 57 23. 192 18. 946 14. 292 9. 791 88. 83 -36. 55 20. 447 -14. 35 10. 12 Mk 115. 5 16. 313 5. 4243 2. 6859 1. 2369 WΦ 2 Pk 1. 300 -0. 4464 0. 2653 -0. 1872 Seismic Analysis of Multi-storied RC Building 0. 1222 0 0 0. 54 6. 6043 15. 992 23. 57 3. 206 23. 57 17. 488 0. 0511 16. 49 7. 919 21. 74 1. 3474 23. 524 0. 017 13. 73 3. 9826 23. 57 1. 659 15. 57 19. 34 3. 1623 3. 4452 19. 19 23. 07 23. 57 22. 819 15. 228 8. 6658 4. 067 68. 3 81. 879 77. 072 76. 66 82. 78 Presented by Rahul Leslie

Period Sa/g 0. 693 0. 221 0. 123 0. 084 0. 065 1. 4411

Period Sa/g 0. 693 0. 221 0. 123 0. 084 0. 065 1. 4411 2. 5 1. 1273 1. 0979 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

Calculate Design horizontal seismic coefficient Z = Zone factor I = Importance factor R

Calculate Design horizontal seismic coefficient Z = Zone factor I = Importance factor R = Response reduction coefficient Period 0. 693 0. 221 0. 123 0. 084 0. 065 Sa/g 1. 441 2. 5 1. 1273 1. 0979 0. 0384 0. 0667 0. 0300 0. 0292 Ah Seismic Analysis of Multi-storied RC Building = 0. 16 =1 =3 Presented by Rahul Leslie

Calculate horizontal force due to each mode Eg: - for mode 1 : 0.

Calculate horizontal force due to each mode Eg: - for mode 1 : 0. 0384 x 1. 30049 x Seismic Analysis of Multi-storied RC Building 0 0. 151 23. 57 0. 178 0. 369 23. 57 0. 434 0. 58 * 23. 57 = 0. 683 0. 763 23. 57 0. 899 0. 906 23. 57 1. 067 1 23. 57 1. 178 k. N Presented by Rahul Leslie

Calculate horizontal force due to each mode… and combined Mode I II IV V

Calculate horizontal force due to each mode… and combined Mode I II IV V SRSS 0 0 0 2 0. 178 0. 371 0. 343 0. 133 0. 084 0. 559 3 0. 434 0. 701 0. 359 0. 006 -0. 071 0. 903 Levels 1 Qik (k. N) 0 4 0. 683 0. 674 0. 002 0. 973 0. 069 1. 035 0. 12 -0. 083 1. 119 -0. 133 5 0. 899 0. 288 -0. 42 6 1. 067 -0. 26 -0. 16 7 1. 178 -0. 69 0. 335 0. 035 -0. 08 0. 035 1. 409 Eg: - for level 7: SRSS = √[(1. 178)2 + (-0. 69)2 + (0. 335)2 + (-0. 08)2 + (0. 035)2] = 1. 409 Seismic Analysis of Multi-storied RC Building Presented by Rahul Leslie

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