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Question2 Determine the LRFD design De Pn for the axially loaded W12 x 96 column which has the bracing and end support conditions as shown (the column is braced on its weak y axis as shown in the figure). Fy 50 ksi. Solve: a) Using Trial and error Procedure; i.e. Table 4-22; b) Using LRFD Tables: i.e. Table 4-1. 10 ft 26 ft 16 ft n T x-x axis y-y axis l of 2
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GIVEN DATA IO W 12x96 Column Section Gross area of cross section Radii of gyration A28.2 in2 r5.44 in r3.09 in Restraints Along x direction Unsupported Length of column Bottom End Top end 26 ft : pinned : pinned Along y direction Unsupported Length of column Bottom End Top end 16 ft : pinned : pinned CALCULATIONS Yield stress of steel Modulus of Elasticity of steel Effective length factors, 50 ksi E29000 ksi K, L 1 x 26 x 12 in 5.44 57.353 K, L 1 x 16 x 12 in 3.09 -62.136 Since K Lx/rx <Kyly/ry, KyLy/ry controls. K,L, IF, 0.821 < 1.5 Note 2 15, F (0.658 )F For 0.877 尾 Therefore, critical stress, F37.709 ksi HenceFor part-(b), would require scan of the Table 4.1 to solve.

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