Report - PEER - University of California, Berkeley
Report - PEER - University of California, Berkeley Report - PEER - University of California, Berkeley
Referring to Eq. (15), the natural period of the system without the stiff element isobtained as followsfδYκ1fT0= 2π(32)α gf 1The natural period of the system without the flexible element is obtained assδYκ1sT0= 2π(33)α gs1Referring to Eq.(12), the maximum instantaneous period of the system withoutflexible element is obtained assTm= aT s⎛⎜Ts=sT0⎜1+⎝− ⎞µ ⎟8⎟⎠swhere s T s is the period of the stiff element associated to the secant modulus and-sµ the value of - µ in the stiff element. In deriving Eq.(34), the following valueswhich correspond to the elastic-perfectly plastic system are used.−(34)µ1+a =8T, q=1.0 (35)−1+µThe effective period of the system without the flexible element is obtained assT0+sTmsTe= (36)2The flexible-stiff mixed structure is a parallel system of the flexible and stiffelements. Then, the effective period of the total system is obtained from1 1 1= +(37)2 2 2TefT0sTe-Applying the numerical analyses,sµ is obtained by the following two ways.s−10−Σsii=1µ = µ ,−− γ =1 sµ1sµ (38), (39)si∑∑s i is very closely approximated by∑s i =0.36+0.64N (40)The structural system is specified by s δ Y , f δ Y , α s1 and α f1 .shown in Table 2 as - µ s.-sµ obtained by Eq.(38) is394
Table 2. The effective period and V ErecordEl CENTROHACHINOHEKOBEsδ Y fδ Y α s1 α f1 sT 0 fT - -µ() ()(sec) (sec)sγ 1 T e1 T e2 V Es s 1(sec) (sec) (/s)0.15 1.5 0.3 0.3 0.338 1.07 0.91 1.33 6.72 0.34 0.35 76.70.15 1.5 0.2 0.2 0.41 1.31 2.25 4.60 5.61 0.44 0.47 99.10.15 1.5 0.1 0.1 0.59 1.85 3.14 4.83 5.47 0.66 0.68 111.80.15 1.5 0.06 0.06 0.75 2.39 4.90 8.00 6.13 0.91 0.99 97.90.15 1.5 0.04 0.04 0.93 2.93 6.94 10.1 5.39 1.21 1.26 87.60.2 1.0 0.1 0.1 0.68 1.51 2.55 3.03 7.05 0.70 0.72 115.30.2 1.0 0.06 0.06 0.87 1.95 3.53 4.60 6.31 0.93 0.96 98.30.5 5.0 0.1 0.1 1.07 3.38 1.83 1.73 11.0 1.12 1.18 95.10.5 5.0 0.06 0.06 1.38 4.36 2.11 2.83 6.25 1.47 1.51 91.50.5 5.0 0.03 0.03 1.95 6.17 2.66 4.81 4.42 2.13 2.18 81.80.5 5.0 0.02 0.02 2.39 7.56 3.66 8.03 3.55 2.74 2.81 72.01.0 5.0 0.02 0.02 3.38 7.56 2.07 2.50 7.07 3.41 3.49 69.71.0 5.0 0.01 0.01 4.78 10.7 2.03 3.37 4.50 4.81 4.95 51.90.15 1.5 0.2 0.2 0.41 1.31 0.85 1.30 5.98 0.41 0.42 58.40.15 1.5 0.15 0.15 0.48 1.51 2.41 3.87 5.15 0.52 0.53 85.00.15 1.5 0.1 0.1 0.59 1.85 3.99 7.47 5.37 0.68 0.74 103.10.15 1.5 0.06 0.06 0.76 2.39 6.28 8.70 6.06 0.96 1.02 104.10.2 2.0 0.1 0.1 0.68 2.14 3.60 6.33 6.46 0.77 0.86 101.80.2 2.0 0.06 0.06 0.87 2.76 3.82 6.68 4.89 1.00 1.05 100.30.2 2.0 0.04 0.04 1.07 3.38 6.78 8.70 6.18 1.39 1.45 102.20.5 5.0 0.16 0.16 0.85 2.67 1.48 1.73 8.30 0.87 0.81 108.90.5 5.0 0.1 0.1 1.06 3.38 1.64 2.15 6.06 1.11 1.13 114.70.5 5.0 0.06 0.06 1.38 4.37 2.81 3.28 6.18 1.52 1.53 96.20.5 5.0 0.04 0.04 1.69 5.34 3.30 3.64 6.20 1.90 1.90 95.31.0 5.0 0.1 0.1 1.51 3.38 1.14 1.03 7.74 1.45 1.46 90.91.0 5.0 0.06 0.06 1.95 4.37 1.67 1.24 10.6 1.93 1.95 104.51.0 5.0 0.04 0.04 2.39 5.35 1.97 1.69 9.03 2.40 2.43 98.61.0 5.0 0.02 0.02 3.38 7.56 2.23 3.05 7.65 3.55 3.61 80.92.0 5.0 0.02 0.02 4.78 7.56 1.27 0.88 14.80 4.26 4.37 70.00.15 1.5 0.5 0.5 0.26 0.83 5.27 29.3 1.68 0.32 0.31 204.90.15 1.5 0.3 0.3 0.39 1.07 7.48 9.60 5.61 0.45 0.51 250.70.15 1.5 0.2 0.2 0.41 1.31 15.1 12.9 7.12 0.71 0.65 267.50.25 2.5 0.3 0.3 0.44 1.38 5.27 7.26 5.41 0.54 0.55 233.10.25 2.5 0.2 0.2 0.54 1.69 7.47 7.72 6.76 0.74 0.72 251.80.50 5.0 0.2 0.2 0.41 1.31 15.1 12.9 7.12 0.71 0.66 267.50.5 5.0 0.15 0.15 0.87 2.76 4.41 50.9 5.56 1.08 1.02 219.50.5 5.0 0.1 0.1 1.07 3.38 5.46 7.22 4.85 1.37 1.31 195.60.5 5.0 0.06 0.06 1.38 4.37 4.94 9.24 3.65 1.67 1.67 160.30.5 5.0 0.03 0.03 1.95 6.17 6.79 15.8 2.78 2.53 2.50 123.41.0 5.0 0.2 0.2 1.07 2.39 2.42 2.61 7.23 1.14 1.11 234.41.0 5.0 0.1 0.1 1.51 3.38 2.94 2.87 6.79 1.58 1.58 191.81.0 5.0 0.03 0.03 2.76 6.17 4.17 7.12 3.53 3.03 2.98 126.11.0 5.0 0.015 0.015 3.90 8.73 4.33 9.93 2.75 4.31 4.26 92.8395
- Page 358 and 359: Without additional conceptual compl
- Page 360 and 361: AN IMPROVED PUSHOVER PROCEDURE FOR
- Page 362 and 363: for a response governed by the fund
- Page 364 and 365: 2.2 Modal ScalingThe principal aim
- Page 366 and 367: 2.3 Pushover-History AnalysisSubsti
- Page 368 and 369: (3) Calculate cumulative scale fact
- Page 370 and 371: 46.4 58 58 58 58 58 58 58 58 58 58
- Page 372 and 373: EXTENSIONS OF THE N2 METHOD — ASY
- Page 374 and 375: The strength reduction factor due t
- Page 376 and 377: The relations apply to SDOF systems
- Page 378 and 379: in X-direction pushover curves prac
- Page 380 and 381: As an example, an idealized force-d
- Page 382 and 383: The IN2 curve can be used in the pr
- Page 384 and 385: HORIZONTALLY IRREGULAR STRUCTURES:
- Page 386 and 387: Dutta and Das (2002, 2002b and refs
- Page 388 and 389: They tested the procedure on three
- Page 390 and 391: Table 1. Properties of the 4 WallsW
- Page 392 and 393: The following is a summary of two s
- Page 394 and 395: ectangular concrete deck supported
- Page 396 and 397: REFERENCESAlmazan, J. L., and J. C.
- Page 398 and 399: Rosenblueth, E. (1957). “Consider
- Page 400 and 401: instantaneous period of vibration a
- Page 402 and 403: value of the maximum plastic deform
- Page 404 and 405: (a) elastic-perfectly plastic type(
- Page 406 and 407: where a is the constant peculiar to
- Page 410 and 411: -The effective period obtained by u
- Page 412 and 413: eal damage data, rather than theore
- Page 414 and 415: liquefaction-induced damage. This i
- Page 416 and 417: Figure 5. Selected damage distribut
- Page 418 and 419: Figure 6. Idealized capacity spectr
- Page 420 and 421: I’ for the ductile case, as expec
- Page 422 and 423: This study has shown that a modific
- Page 424 and 425: thickness of the inner wall is usua
- Page 426 and 427: 4. EARTHQUAKE GROUND MOTION INPUT A
- Page 428 and 429: 5.2 Performance Levels and Limit St
- Page 430 and 431: where λ I jis the occurrence rate
- Page 432 and 433: intensity VI because the number of
- Page 434 and 435: and thus are not considered in seis
- Page 436 and 437: The values of the displacement modi
- Page 438 and 439: constant amplitude loading (CA) or
- Page 440 and 441: deterioration. These are the type o
- Page 442 and 443: members, is the main feature of the
- Page 444 and 445: RESULTS, DISCUSSIONS AND CONCLUSION
- Page 446 and 447: systems, where FEMA estimations are
- Page 448 and 449: The case study is a Hospital in the
- Page 450 and 451: Table 1. Dimensions and amount of r
- Page 452 and 453: 4.2 Incremental AnalysisBase shear
- Page 454 and 455: When adding jackets to columns, the
- Page 456 and 457: storyShear in interior Column [ton]
Table 2. The effective period and V ErecordEl CENTROHACHINOHEKOBEsδ Y fδ Y α s1 α f1 sT 0 fT - -µ() ()(sec) (sec)sγ 1 T e1 T e2 V Es s 1(sec) (sec) (/s)0.15 1.5 0.3 0.3 0.338 1.07 0.91 1.33 6.72 0.34 0.35 76.70.15 1.5 0.2 0.2 0.41 1.31 2.25 4.60 5.61 0.44 0.47 99.10.15 1.5 0.1 0.1 0.59 1.85 3.14 4.83 5.47 0.66 0.68 111.80.15 1.5 0.06 0.06 0.75 2.39 4.90 8.00 6.13 0.91 0.99 97.90.15 1.5 0.04 0.04 0.93 2.93 6.94 10.1 5.39 1.21 1.26 87.60.2 1.0 0.1 0.1 0.68 1.51 2.55 3.03 7.05 0.70 0.72 115.30.2 1.0 0.06 0.06 0.87 1.95 3.53 4.60 6.31 0.93 0.96 98.30.5 5.0 0.1 0.1 1.07 3.38 1.83 1.73 11.0 1.12 1.18 95.10.5 5.0 0.06 0.06 1.38 4.36 2.11 2.83 6.25 1.47 1.51 91.50.5 5.0 0.03 0.03 1.95 6.17 2.66 4.81 4.42 2.13 2.18 81.80.5 5.0 0.02 0.02 2.39 7.56 3.66 8.03 3.55 2.74 2.81 72.01.0 5.0 0.02 0.02 3.38 7.56 2.07 2.50 7.07 3.41 3.49 69.71.0 5.0 0.01 0.01 4.78 10.7 2.03 3.37 4.50 4.81 4.95 51.90.15 1.5 0.2 0.2 0.41 1.31 0.85 1.30 5.98 0.41 0.42 58.40.15 1.5 0.15 0.15 0.48 1.51 2.41 3.87 5.15 0.52 0.53 85.00.15 1.5 0.1 0.1 0.59 1.85 3.99 7.47 5.37 0.68 0.74 103.10.15 1.5 0.06 0.06 0.76 2.39 6.28 8.70 6.06 0.96 1.02 104.10.2 2.0 0.1 0.1 0.68 2.14 3.60 6.33 6.46 0.77 0.86 101.80.2 2.0 0.06 0.06 0.87 2.76 3.82 6.68 4.89 1.00 1.05 100.30.2 2.0 0.04 0.04 1.07 3.38 6.78 8.70 6.18 1.39 1.45 102.20.5 5.0 0.16 0.16 0.85 2.67 1.48 1.73 8.30 0.87 0.81 108.90.5 5.0 0.1 0.1 1.06 3.38 1.64 2.15 6.06 1.11 1.13 114.70.5 5.0 0.06 0.06 1.38 4.37 2.81 3.28 6.18 1.52 1.53 96.20.5 5.0 0.04 0.04 1.69 5.34 3.30 3.64 6.20 1.90 1.90 95.31.0 5.0 0.1 0.1 1.51 3.38 1.14 1.03 7.74 1.45 1.46 90.91.0 5.0 0.06 0.06 1.95 4.37 1.67 1.24 10.6 1.93 1.95 104.51.0 5.0 0.04 0.04 2.39 5.35 1.97 1.69 9.03 2.40 2.43 98.61.0 5.0 0.02 0.02 3.38 7.56 2.23 3.05 7.65 3.55 3.61 80.92.0 5.0 0.02 0.02 4.78 7.56 1.27 0.88 14.80 4.26 4.37 70.00.15 1.5 0.5 0.5 0.26 0.83 5.27 29.3 1.68 0.32 0.31 204.90.15 1.5 0.3 0.3 0.39 1.07 7.48 9.60 5.61 0.45 0.51 250.70.15 1.5 0.2 0.2 0.41 1.31 15.1 12.9 7.12 0.71 0.65 267.50.25 2.5 0.3 0.3 0.44 1.38 5.27 7.26 5.41 0.54 0.55 233.10.25 2.5 0.2 0.2 0.54 1.69 7.47 7.72 6.76 0.74 0.72 251.80.50 5.0 0.2 0.2 0.41 1.31 15.1 12.9 7.12 0.71 0.66 267.50.5 5.0 0.15 0.15 0.87 2.76 4.41 50.9 5.56 1.08 1.02 219.50.5 5.0 0.1 0.1 1.07 3.38 5.46 7.22 4.85 1.37 1.31 195.60.5 5.0 0.06 0.06 1.38 4.37 4.94 9.24 3.65 1.67 1.67 160.30.5 5.0 0.03 0.03 1.95 6.17 6.79 15.8 2.78 2.53 2.50 123.41.0 5.0 0.2 0.2 1.07 2.39 2.42 2.61 7.23 1.14 1.11 234.41.0 5.0 0.1 0.1 1.51 3.38 2.94 2.87 6.79 1.58 1.58 191.81.0 5.0 0.03 0.03 2.76 6.17 4.17 7.12 3.53 3.03 2.98 126.11.0 5.0 0.015 0.015 3.90 8.73 4.33 9.93 2.75 4.31 4.26 92.8395
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