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.Table 57.61 32.7 226.7 10.1 8.2Parul University International

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.Table 1 Geometrical properties of members for different configurations of BuildingBuilding Configuration ParametersSize of Column in mmSize of Beam in mmThickness of Slab in mmThickness of shear wall in mm Stepback building 3 bays of 7 m each 300 × 500 300 × 500 150 200 Setpback -Set back building 4 to 6 bays of 7 m each 300 × 500 300 × 500 150 200Fig. 1 Step-Back Building Configurations Fig. 2 Step-Back and Set-Back Building ConfigurationsTable 2 Properties of 4 storey Step-Back Set-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame ESPST4 15.75 0.22 0.593 2.536 0.422 232.3 122.27 66.1 34.2 4.4 5.1 SPST4Y 15.75 0.227 0.593 2.478 0.445 280.33 147.75 74.8 40.8 8.1 8.7 SPST4X 15.75 0.103 0.593 0.98 0.038 308.33 53.74 30.5 208.3 8.5 7.1 SPST4XY 15.75 0.106 0.593 0.473 0.041 335.47 57.61 32.7 226.7 10.1 8.2Parul University International Conference on Engineering & Technology (PiCET-2018): Smart Engineering P a g e | 3Table 3 Properties of 4 storey Step-Back Set-Back Building in Y-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame E SPST4 15.75 0.509 0.593 13.651 1.412 235.97 34 60.53 62.98 24.54 53.92 SPST4Y 15.75 0.228 0.593 4.97 1.15 280.72 70.49 32.57 22.02 7.91 147.73 SPST4X 15.75 0.475 0.593 11.97 1.346 298.75 62.46 109.3 82.96 31.52 12.51 SPST4XY 15.75 0.222 0.593 3.961 0.63 356.56 81.07 45.83 36.24 8.98 184.44Table 4 Properties of 5 storey Step-Back Set-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift(10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame EFrame FSPST5 19.25 0.219 0.689 2.363 0.431 327.95 138.19 89.04 64.42 29.49 3.04 3.77 SPST5Y 19.25 0.226 0.689 2.497 0.455 365.22 149.75 94.048 72.66 37.87 5.08 5.82 SPST5X 19.25 0.104 0.689 0.512 0.044 402.21 62.56 36 267.02 23.78 6.41 6.44 SPST5XY 19.25 0.107 0.689 0.534 0.046 419.9 65.18 37.53 272.11 27.544 8.76 8.76Table 5 Properties of 5 storey Step-Back Set-Back Building in Y-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame EFrame FSPST5 19.25 0.534 0.689 13.565 1.47 306.03 34.29 65.17 64.4 63.25 24.59 54.33 SPST5Y 19.25 0.327 0.689 10.354 1.76 364.07 57.44 82.29 35.18 22.52 8.37 158.27 SPST5X 19.25 0.474 0.689 12.523 1.376 371.87 68.98 108.17 116.32 37.86 13.63 26.91 SPST5XY 19.25 0.351 0.689 7.833 1.295 440.99 119.38 51.62 67.36 24.12 7.261 171.23Table 6 Properties of 6 storey Step-Back Set-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame EFrame FFrame GSPST6 22.75 0.219 0.781 2.327 0.423 408.17 134.6 92.022 92.65 60.17 23.84 2.11 2.77 SPST6Y 22.75 0.226 0.781 2.43 0.44 445.175 141.2 92.18 98.04 70.2 34.3 4.263 4.96 SPST6X 22.75 0.104 0.781 0.547 0.043 476.33 66.96 38.73 282.7 32.03 40.62 7.41 7.87 SPST6X 22.75 0.107 0.781 0.581 0.05 517.935 71.09 41.07 299.91 37.77 48.66 9.45 9.97Table 7 Properties of 6 storey Step-Back Set-Back Building in Y-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DFrame EFrame FFrame GSPST6 22.75 0.55 0.781 13.305 1.51 374.87 34.18 62.84 71.02 64.08 63.36 24.67 54.7 SPST6Y 22.75 0.397 0.781 14.18 1.92 442.89 48.3 91.29 91.6 32.26 22.1 4.355 152.96 SPST6X 22.75 0.481 0.781 13.335 1.42 443.41 73 116.09 133.3 43.7 33.86 13.46 30 SPST6XY 22.75 0.403 0.781 12.617 1.712 520.12 105.85 107.38 71.59 35.79 20.65 7.38 171.48Table 8 Properties of 4 storey Step-Back Set-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DSPST4 15.75 0.353 0.593 5.06 0.734 219.329 172.98 36.447 4.718 5.184 SPST4Y 15.75 0.288 0.593 0.491 0.042 290.372 34.96 239.905 8.466 7.041 SPST4X 15.75 0.379 0.593 6.482 0.854 263.9918 203.6568 43.267 8.347 8.721 SPST4XY 15.75 0.115 0.593 0.548 0.047 329.6036 39.2208 272.0428 10.08 8.26Parul University International Conference on Engineering & Technology (PiCET-2018): Smart Engineering P a g e | 4Table 9 Properties of 4 storey Step-Back Building in Y-Direction.ModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DSP4 15.75 0.62 0.593 20.12 1.653 198.74 49.9 66.06 25.96 56.82 SP4X 15.75 0.553 0.593 16.336 1.05 269.1713 81.38 172.79 3.244 11.7573 SP4Y 15.75 0.216 0.593 2.409 0.293 275.7 73.63 24.84 7.92 167.24 SP4XY 15.75 0.227 0.593 3.773 0.321 332.463 108.453 26.73 10.48 186.8Table 10 Properties of 5 storey Step-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kN Frame A Frame B Frame CFrame D SP5 15.75 0.49 0.689 10.65 1.07 264.8626 225.7264 33.3692 2.69 3.077 SP5X 15.75 0.392 0.689 1.063 0.74 353.5553 52.29 295.6032 2.479 3.1831 SP5Y 15.75 0.528 0.689 12.288 1.092 326.999 265.4416 45.4576 7.89 8.2098 SP5XY 15.75 0.325 0.689 1.168 0.082 410.0606 57.74 332.6326 10.5138 9.1742Table 11 Properties of 5 storey Step-Back Building in Y-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kN Frame A Frame B Frame CFrame D SP5 15.75 0.49 0.689 10.65 1.07 264.8626 225.7264 33.3692 2.69 3.077 SP5X 15.75 0.392 0.689 1.063 0.74 353.5553 52.29 295.6032 2.479 3.1831 SP5Y 15.75 0.528 0.689 12.288 1.092 326.999 265.4416 45.4576 7.89 8.2098 SP5XY 15.75 0.325 0.689 1.168 0.082 410.0606 57.74 332.6326 10.5138 9.1742Table 12 Properties of 6 storey Step-Back Building in X-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kN Frame A Frame B Frame C Frame D SP6 22.75 0.629 0.781 14.83 1.198 266.24 239.23 28.12 1.252 1.21 SP6X 22.75 0.502 0.781 1.998 0.118 429.08 72.06 352.5 2.17 2.5 SP6Y 22.75 0.481 0.781 15.64 1.282 309.87 259.1 40.7 4.83 5.24 SP6XY 22.75 0.221 0.781 2.188 0.13 488.31 79.45 402.34 4.43 3.85Table 13 Properties of 6 storey Step-Back Building in Y-DirectionModelStorey height in mTime Period by RS in SecondsTime Period by IS 1893: 2016Max Storey Displacement in mmMax Storey Drift (10-3)Base Shear in kNShear Value of frames in kNFrame AFrame BFrame CFrame DSP6 22.75 0.964 0.781 30.298 1.836 173.4 61.63 60.55 22.81 50.82 SP6X 22.75 0.936 0.781 23.971 1.728 249.47 157.39 65.54 9.97 24.31 SP6Y 22.75 0.679 0.781 13.27 0.5 406.97 129.68 24.3 8.04 244.92 SP6XY 22.75 0.439 0.781 14.303 0.847 488.33 196.85 35.81 9.01 246.33IV. DISCUSSION OF RESULTS A. Step Back – Set Back building a. Along the Hill Slope: In 4 Storey, maximum storey displacement occurred at top storey for X-Direction. When Shear wall is introduced in X direction and XY direction displacement is decreased by 61% and 81% respectively. Storey Drift is maximum at top storey and it is reduced by 90% when shear wall is inserted in X direction and X-Y both direction which is 90%. However, when Shear wall is in Y direction the effect on storey drift is negligible which are shown in table 2.In 5 storey in X-direction, Storey displacement is reduced by 78% when shear wall is in X direction and 77% whenShear wall is in both X and Y direction. Storey Drift is maximum at Storey 3 is 0.431 x 10-3 and it decreases by 85% when Shear wall is there in X direction, X-Y direction both as shown in table 4.In 6 Storey in X direction, maximum displacement reduced value by76.5% and 75% when shear wall is introduced in X direction and X-Y direction respectively. Storey Drift is reduced due to shear wall introduction in X direction and in X and Y direction both is 90% and 88% respectively. Which are shown in table 6.b. Across the Hill Slope:Parul University International Conference on Engineering & Technology (PiCET-2018): Smart Engineering P a g e | 5In 4 Storey in Y direction, maximum storey displacement is 13.65 mm. Storey displacement is reduced by 63.5% and 70.9% when shear wall in Y direction and in X Y direction both respectively. Storey Drift is reduced by 18% and 55% when shear wall is in Y and X Y direction both. When Shear wall is introduced in X direction it does not affect storey drift in Y-direction as shown in Table 3. In 5 Storey in Y direction, maximum storey displacement is 13.565 mm and it gets decreased by 23.67% and 42% when shear wall is introduced in Y direction and in X Y direction both. Story Drift gets increased by 20% and 11.9% in structures where Shear wall is introduced in Y direction and in XY direction both respectively as shown in Table 5. In 6 storey in Y direction, displacement is 13.305 mm which gets changed with introduction of shear wall in Y direction and in XY direction by 6% increase and 5% decrease respectively. Storey Drift is maximum at storey 3 which is 1.51×10-3. It increases by 27% and 13.37% with introduction of shear wall in Y direction and XY direction respectively results are shown in Table 7.B. Step-Back Buildings a. Along the Hill Slope: In 4 Storey in X-direction, maximum storey displacement is 2.536mm. When Shear wall is introduced in X direction and XY direction displacement is decreased by 61% and 81% respectively. Storey Drift is maximum at top storey and drift is reduced by great value when shear wall is inserted in X direction and when in X & Y both direction which is 90%. However, when Shear wall is in Y direction the effect on storey drift is negligible values are shown in Table 8.In 5 storey in X-direction, top storey displacement is 2.363mm which is maximum when shear wall is not introduced in the structure. Storey displacement is reduced by 78% when shear wall is in X direction and 77% when Shear wall is in both X and Y direction. Storey Drift is maximum at storey 3 is 0.43110-3 and it decreases by 85% when Shear wall is there in X direction, X direction and Y direction both as shown in Table 10.In 6 Storey in X direction, maximum displacement found is 2.327mm and the reduced value by introduction of shear wall in X direction and in X and Y direction both is 76.5% and 75% respectively. Storey Drift 0.423×10-3. Reduction due to shear wall introduction in X direction and in X and Y direction both is 90% and 88% respectively as shown in table 12.b. Across the Hill Slope: In 4 Storey in Y direction, maximum storey displacement is 13.651mm. Storey displacement is reduced by 63.5% and 70.9% when shear wall in Y direction and in X Ydirection both respectively. Maximum drift is 1.14210-3 and it is reduced by 18% and 55% when shear wall is in Y and X Y direction both. When Shear wall is introduced in X direction it does not affect storey drift in Y-direction. Shown in Table 9.In 5 Storey in Y direction, maximum storey displacement is 13.565mm and it gets decreased by 23.67% and 42% when shear wall is introduced in Y direction and in X Y direction both. Storey Drift maximum at storey 3 is1.47×10-3 which gets increased by 20% and 11.9% in structures where Shear wall is introduced in Y direction and in XY direction both respectively results are tabulated in Table 11. In 6 storey in Y direction, displacement is 13.305mm which gets changed with introduction of shear wall in Y direction and in XY direction by 6% increase and 5% decrease respectively. Storey Drift is maximum at storey 3 which is 1.51×10-3. It increases by 27% and 13.37% with introduction of shear wall in Y direction and XY direction respectively as shown in Table 13.V. CONCLUSIONSIn this Study, the Seismic analysis of Step Back and Set Back Buildings was done using Response Spectrum Method in ETABS 2016. From the results it has been seen that the fundamental Time Period from the IS 1893:2016 given equation shows higher value than from RS. From Results it has been concluded that the maximum displacement in both the direction in Step Back Building for given storey was more than that of in Step Back and Set Back Building. In Step Back-Set Back Building when Shear wall is introduced in X and XY both direction max. displacement reduces by 60-80% in X-Dir. shear all cases. And for Y dir. when shear wall was introduced same results were seen. For Step Back Building Max. Displacement in X-Dir. reduces to 80-90% and in Y-Dir. it reduces to 50-80% for all cases. In all type of configuration without shear wall max. Base reaction was being taken by the top most support on Hill and when Shear wall was introduced in all type of configuration support connected to Shear Wall bears highest reaction. For same number storey Step Back buildings showed higher value of Storey drift and also of maximum displacement than Step-back Set-Back buildings hence they are more vulnerable to Earthquake.REFERENCES 1. B.G. Birajdar, S. N. “Seismic Analysis of Buildings Resting On Sloping Ground”. 13th World Conference on Earthquake Engineering. 2. Mahesh N. Patil, Y. N. “Seismic Analysis of Multistoried Building” International Journal of Engineering and Innovative Technology. 3. Zaid Mohammad, A. B “Seismic Response of RC Framed BuildingsParul University International Conference on Engineering & Technology (PiCET-2018): Smart Engineering P a g e | 6Resting on Hill Slopes” Proceedia Engineering, pp. 1792-1799. 4. IS – 1893 Part1 – (2002). Criteria for Earthquake Resistant Design of Structures. New Delhi: BIS. 5. CSI. 2016, October). Lateral Loads Manual for ETABS 2016 6. IS – 1893 Part1 – (2016). Criteria for Earthquake Resistant Design of Structures. New Delhi: BIS

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