The 15 x 15 in. column shown below must extend from footing level to the second floor of abraced frame structure with an unsupported length of 20.5 ft. Exterior exposure requires 2 in.clear cover for the outermost steel. Analysis indicates that the critical loading corresponds withthe following service loads: (a) from dead loads, P = 180 kips, Mtop = 30 ft-kips, Mbot = 15 ft-kips; (b) from live loads, P = 110 kips, Mtop = 60 ft-kips, Mbot = 30 ft-kips, with the column bentin double curvature as shown. The effective length factor k determined using Fig. 10.13a is 0.90.Material strengths are f'c 4000 psi and fy 60000 psi Using the ACI moment magnifiermethod, determine whether the column is adequate to resist these loads.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The 15 x 15 in. column shown below must extend from footing level to the second floor of a
braced frame structure with an unsupported length of 20.5 ft. Exterior exposure requires 2 in.
clear cover for the outermost steel. Analysis indicates that the critical loading corresponds with
the following service loads: (a) from dead loads, P = 180 kips, Mtop = 30 ft-kips, Mbot = 15 ft-
kips; (b) from live loads, P = 110 kips, Mtop = 60 ft-kips, Mbot = 30 ft-kips, with the column bent
in double curvature as shown. The effective length factor k determined using Fig. 10.13a is 0.90.
Material strengths are f'4000 psi and f60000 psi Using the ACI moment magnifier
method, determine whether the column is adequate to resist these loads.

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