12.9 The story weights and heights of a building are given in the following table: a) Complete the computations in this table and determine story seismic forces (Fi), story shear (Vi), and story moment (MC b) Determine the building base shear and over-turning moment at its base.

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Chapter2: Loads On Structures
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12.9 The story weights and heights of a building are given in the following table:
a) Complete the computations in this table and determine story seismic forces (Fi), story shear (Vi), and story moment (MC
b) Determine the building base shear and over-turning moment at its base.
Level
Roof
5
4
3
2
Sum
Weight Height
(kip)
2,500
3,000
3,000
3,000
3,500
15,000
Rost
hyMN
5
4
3
2
70
57
44
31
18
w.hi
wi. hi
Σwi.hi
175,000
0.276
171,000 0.269
132,000 0.208
93,000
0.146
63,000
634,000
600
700
Building Base Shear
5.00
600
600
Story force,
F; (kip)
2500
5500
8500
11500
0.099 15000
Story
Shear
V; (kip)
690
1140
1768
1699
1485
Story
Overturning
Moment, MOT
(kip-ft)
3715.4
26730
4998.5
5984
4003.8
2056.2
Overturning moment at base
48300
64980
77792
52049
Transcribed Image Text:12.9 The story weights and heights of a building are given in the following table: a) Complete the computations in this table and determine story seismic forces (Fi), story shear (Vi), and story moment (MC b) Determine the building base shear and over-turning moment at its base. Level Roof 5 4 3 2 Sum Weight Height (kip) 2,500 3,000 3,000 3,000 3,500 15,000 Rost hyMN 5 4 3 2 70 57 44 31 18 w.hi wi. hi Σwi.hi 175,000 0.276 171,000 0.269 132,000 0.208 93,000 0.146 63,000 634,000 600 700 Building Base Shear 5.00 600 600 Story force, F; (kip) 2500 5500 8500 11500 0.099 15000 Story Shear V; (kip) 690 1140 1768 1699 1485 Story Overturning Moment, MOT (kip-ft) 3715.4 26730 4998.5 5984 4003.8 2056.2 Overturning moment at base 48300 64980 77792 52049
c) Show the computed shear and over-turning moment on the following graphs.
FR
F5
F4
F3
F2
BASE SHEAR, V
Seismic Story Forces
Seismic Story Shears
4@13-0-52¹-0"
70-0⁰
-0-81
Seismic Over-turning Moment
Transcribed Image Text:c) Show the computed shear and over-turning moment on the following graphs. FR F5 F4 F3 F2 BASE SHEAR, V Seismic Story Forces Seismic Story Shears 4@13-0-52¹-0" 70-0⁰ -0-81 Seismic Over-turning Moment
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