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Eq Ass 4

The document presents calculations related to structural analysis, including values for tension, shear, and axial forces. It provides specific numerical results for maximum moment, shear, and axial force based on given parameters. The final calculated values indicate a maximum moment of 1237.2353 kN-m, maximum shear of 618.6176 kN, and maximum axial force of 2043.1796 kN.

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osinsao.maryjoy
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15 views1 page

Eq Ass 4

The document presents calculations related to structural analysis, including values for tension, shear, and axial forces. It provides specific numerical results for maximum moment, shear, and axial force based on given parameters. The final calculated values indicate a maximum moment of 1237.2353 kN-m, maximum shear of 618.6176 kN, and maximum axial force of 2043.1796 kN.

Uploaded by

osinsao.maryjoy
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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MARY JOY OSINSAO​ ​ ​ ​ ​ ​ ​ ​ ​ ​ 22-00816

CE - 3207

GIVEN:
​ Zone 4​​ I = 1.5​ ​ NA = 1.6
​ CV = 0.96​ R = 8.5​​ W = 15580 kN
​ CA = 0.36​ NV = 2

SOLUTION:
3 3

1.​ 𝑇 = 𝐶𝑡( ℎ𝑛) 4 = 0. 0731(32) 4 = 0. 9835


​ 𝑇 = 0. 9835 𝑠𝑒𝑐

𝐶𝑉𝐼 (0.96)(1.5)
2.​ 𝑉 = 𝑅𝑇
(𝑊) = 8.5(0.9835)
(15580) = 2683. 7166 𝑘𝑁
2.5𝐶𝑎𝐼 2.5(0.36)(1.5)
​ 𝑉𝑀𝐴𝑋 = 𝑅
(𝑊) = 8.5
(15580) = 2474. 4706 𝑘𝑁
𝑉𝑀𝐼𝑁 = 0. 11𝐶𝑎𝐼𝑊 = 0. 11(0. 36)(1. 5)(15580) = 925. 452 𝑘𝑁
0.8𝑍𝑁𝑉𝐼 0.8(0.4)(2)(1.5)
​ 𝑉0.4 = 𝑅
(𝑊) = 8.5
(15580) = 1759. 6235 𝑘𝑁
​ ​
​ ​ THEREFORE, V = VMAX = 2474.4706 kN

𝑛
Wxhx/ ∑ 𝑤𝑖ℎ𝑖
Level Height(m) Wx (kN) Wxhx 𝑖=1 Fx Fi (L) Fi (T)
Roof 32 900 28800 0.1114 426.9617762 213.4808881 106.740444
10 29 1200 34800 0.1346 310.0666086 155.0333043 77.51665215
9 26 1450 37700 0.1458 335.9054927 167.9527463 83.97637317
8 23 1500 34500 0.1334 307.3936206 153.6968103 76.84840515
7 20 1500 30000 0.1160 267.2988005 133.6494003 66.82470013
6 17 1500 25500 0.0986 227.2039805 113.6019902 56.80099511
5 14 1800 25200 0.0974 224.5309924 112.2654962 56.13274811
4 11 1800 19800 0.0766 176.4172084 88.20860418 44.10430209
3 7.5 1880 14100 0.0545 125.6304363 62.81521813 31.40760906
2 4 2050 8200 0.0317 73.06167215 36.53083607 18.26541804
Total 15580 258600

(𝑉−𝐹𝑡)𝑤𝑥ℎ𝑥
3.​ 𝐹𝑋 = 𝑛
∑ 𝑤𝑖ℎ𝑖
𝑖=1

𝐹𝑡 = 0. 07𝑇𝑉 = 0. 07(0. 9835)(2474. 4706) = 170. 3549 𝑘𝑁


𝑉 − 𝐹𝑡 = 2474. 4706 − 170. 3549 = 2304. 1157 𝑘𝑁

4.​ MAXIMUM MOMENT, SHEAR, AND AXIAL FORCE


Max. Moment = 1237.2353 kN - m
Max. Shear = 618.6176 kN
Max. Axial Force = 2043.1796 kN

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