PSI - Issue 46

Ashikur Rahman Simon et al. / Procedia Structural Integrity 46 (2023) 162–168 Simon A. R. et al./ Structural Integrity Procedia 00 (2019) 000–000

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Table 3. Storey drift

X - direction

Y - direction

Maximum limit

Storey

Model 1

Model 2

Model 3

Model 4

Model 5

Model 6

Model 1

Model 2 0.0023 0.0024 0.0024 0.0024 0.0024 0.0023 0.0021 0.0018 0.0015 0.0010 0.0005

Model 3 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0003 0.0002 0.0001

Model 4 0.0014 0.0014 0.0014 0.0014 0.0014 0.0013 0.0012 0.0010 0.0008 0.0005 0.0003

Model 5 0.0019 0.0019 0.0019 0.0019 0.0019 0.0018 0.0016 0.0014 0.0011 0.0007 0.0003

Model 6 0.0018 0.0018 0.0018 0.0018 0.0017 0.0017 0.0015 0.0013 0.0010 0.0007 0.0003

Roof 0.0029 0.0012 0.0011 0.0007 0.0011 0.0012 0.0024 Storey9 0.0049 0.0013 0.0012 0.0007 0.0012 0.0012 0.0036 Storey8 0.0070 0.0013 0.0012 0.0007 0.0012 0.0012 0.0050 Storey7 0.0089 0.0013 0.0011 0.0007 0.0011 0.0012 0.0063 Storey6 0.0106 0.0012 0.0011 0.0006 0.0011 0.0012 0.0074 Storey5 0.0120 0.0012 0.0010 0.0006 0.0010 0.0011 0.0083 Storey4 0.0132 0.0011 0.0009 0.0006 0.0009 0.0010 0.0091 Storey3 0.0139 0.0009 0.0008 0.0005 0.0008 0.0009 0.0094 Storey2 0.0137 0.0007 0.0006 0.0004 0.0006 0.0007 0.0091 Storey1 0.0111 0.0005 0.0004 0.0003 0.0004 0.0005 0.0071 0.0048 0.0003 0.0002 0.0002 0.0002 0.0003 0.0029 GF

0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004

3.3. Storey displacement Storey displacement in X and Y direction s of all models is summarized in Table 4. Shear walls at the periphery model undergoes less displacement in X-direction. In this study, shear walls at the periphery show about 94% less displacement at the roof than no shear wall model in X-direction. On the contrary, shear walls at sides and inner walls model undergo less displacement in Y-direction. It shows about 95% less displacement than no shear wall model in Y-direction. Lateral displacement for the model without a shear wall is more than the permissible limit prescribed in BNBC 2020 (permissible limit = h/500, h is the height of the building). In addition, displacement in each direction is within the limit for other models except for shear walls at the center model.

Table 4. Storey displacement (in)

X - direction

Y - direction

Storey

Model 1 12.22 11.88 11.29 10.45

Model 2

Model 3

Model 4

Model 5

Model 6

Model 1

Model 2

Model 3

Model 4

Model 5

Model 6

Roof

1.30 1.15 0.99 0.84 0.69 0.54 0.40 0.28 0.17 0.08

1.16 1.02 0.88 0.74 0.61 0.47 0.35 0.24 0.14 0.07

0.68 0.60 0.52 0.44 0.36 0.28 0.21 0.14 0.08 0.04

1.15 1.01 0.88 0.74 0.60 0.47 0.35 0.23 0.14 0.06

1.24 1.10 0.95 0.80 0.66 0.52 0.38 0.26 0.16 0.07

8.40 8.12 7.68 7.08 6.33 5.44 4.44 3.36 2.23 1.14

2.52 2.24 1.95 1.66 1.37 1.08 0.81 0.55 0.33 0.15

0.44 0.39 0.34 0.29 0.24 0.19 0.14 0.10 0.06 0.03

1.45 1.28 1.11 0.94 0.77 0.60 0.45 0.30 0.18 0.08

1.96 1.74 1.51 1.28 1.05 0.83 0.61 0.42 0.25 0.11

1.83 1.62 1.40 1.18 0.97 0.76 0.56 0.38 0.22 0.10

Storey9 Storey8 Storey7 Storey6 Storey5 Storey4 Storey3 Storey2 Storey1

9.39 8.11 6.67 5.09 3.43 1.78

3.4. Storey stiffness Storey stiffness in X and Y directions of all models is summarized in Table 5. It is observed that with the increasing length of the shear wall, the stiffness of the structure also increases. As displacement and stiffness are inversely proportional, the lesser the displacement more is the stiffness. From Table 5, it is seen that shear walls at the periphery model have the highest value of stiffness in X-direction which is 36486.52 Kip/in on the ground floor. So, this model can be considered as the best one in X-direction. On the contrary, in Y-direction, shear walls at sides and inner walls model have the highest value of stiffness which is 44531.46 kip/in on the ground floor.