Question
Apply a 24 kip horizontal earthquake load at the second floor diaphragm and 48 kip horizontal earthquake load at the roof diaphragm in the North-South
Apply a 24 kip horizontal earthquake load at the second floor diaphragm and 48 kip horizontal earthquake load at the roof diaphragm in the North-South direction (direction of gridlines A through E). You may assume that the weight of the structure is uniformly distributed, so these loads may be applied as a uniform distributed load (klf or plf) to the side of the diaphragm.
Determine the internal forces and moments at the ends of each beam and column in the moment frames caused by the earthquake load. Draw the corresponding shear and moment diagrams. Superimpose the results from D and E to determine the moments and internal forces at the ends of each beam and column in the moment frame. Draw the moment diagram for each beam and column in the moment frames superimposing the effects of the gravity loading and the earthquake loading.
distance between gridlines 1 and 2= 42 ft
Distance between gridlines 2 and 3= 18 ft
Distance between gridlines 3 and 4= 30 ft
Distance between gridlines A and B and gridlines D and E =18 ft
Distance between gridlines B and C and gridlines C and D =32 ft
Elevation at top of second story floor slab= 14 ft
Elevation at top of roof= 27 ft
Roof joists and beams Douglas fir wood roof joists spanning between gridlines A and B and between gridlines D and E= 2 x 8
Douglas fir wood roof joists spanning between gridlines B and C and between gridlines C and D (except moment frame beams along gridlines 1 and 4 between B and C, which shall be concrete beams of the size stated for the second story floor)= 2 x 14
Roof joist spacing (all joists) 2 ft Douglas fir glulam roof beams on Gridlines A - E= 5 1/4" x 16.5"
Second story floor slab and beams Concrete floor slab thickness= 8"
Concrete floor beams spanning between gridlines A and B and between gridlines D and E= 12" x 16"
Concrete floor beams spanning between gridlines B and C and between gridlines C and D =14" x 20"
Spacing of beams located between gridlines 1 and 2 14 ft Columns and Walls Concrete Columns (all column locations on all levels)= 18" x 18"
Concrete Wall thickness for walls between gridlines 3 and 4 located along Gridlines A and E (both levels) =6"
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