A W14x82 of A992 steel is to be investigated for use as a beam-column in an unbraced frame. The length is 15 feet. First-order analyses of the frame were performed for both the sway and nonsway cases. The factored loads and moments corresponding to one of the load combinations to be investigated are given for this member in the following table. Bending is around the strong axis. The effective length factors are Kx = 1.0 for the braced case, Kx = 1.0 for the unbraced case, and Ky = 1.0. The multiplier to account for P-δ effects was determined to be 1.04, and the multiplier to account for P-Δ effects was determined to be 1.30. Using LRFD and Cb = 1.0, determine the value of the AISC interaction equation.Type of analysisPu (kips)Mtop (kip-ft)Mbottom (kip-ft)Nonsway2804017Sway502580 

The beam-column of A992 steel is part of a braced frame with L = 15 ft, Pu = 310 kip, Mux = 140 kip-ft. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force. Bending is about the strong axis. Considering only the following shapes and values obtained from the AISC procedure for ASD, select the lightest acceptable shape. Let Kx = 1.0, Ky = 1.0, and Cb = 1.0.ShapeValue of AISC interaction equationW12x581.536W12x721.124W12x791.019W12x870.918W12x960.825 

A W14x74 of A992 steel is to be investigated for use as a beam-column in an unbraced frame. The length is 14 feet. First-order analyses of the frame were performed for both the sway and nonsway cases. The factored loads and moments corresponding to one of the load combinations to be investigated are given for this member in the following table. The multiplier to account for P-δ effects was determined to be 1.06, and the multiplier to account for P-Δ effects was determined to be 1.25. Determine the required second-order axial strength, Pr, of the member.Type of analysisPu (kip)Mtop (kip-ft)Mbottom (kip-ft)Nonsway4454526Sway1004095 

An unsymmetrical flexural member consists of a 3” × 22” top flange, a 3” × 12” bottom flange, and a 1” × 60” web. Determine the distance from the top of the shape to the horizontal plastic neutral axis.

The beam-column of A992 steel is part of a braced frame with L = 15 ft, Pu = 310 kip, Mux = 115 kip-ft. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force. Bending is about the strong axis. Considering only W14x68, W14x74, and W14x82, use LRFD to select the lightest acceptable shape. Let Kx = 1.0, Ky = 1.0, and Cb = 1.0.

An unbraced beam-column with no moment frames has an Euler buckling strength of 1,861 kips with a story shear of 3.59 kips. What is the drift index for the column?

Use the Steel Construction Manual to determine the plastic moment capacity, Mp, of a W18x106 beam made of A913 Grade 60 steel.

A W14x74 of A992 steel is to be investigated for use as a beam-column in an unbraced frame. The length is 15 feet. First-order analyses of the frame were performed for both the sway and nonsway cases. The factored loads and moments corresponding to one of the load combinations to be investigated are given for this member in the following table. The multiplier to account for P-δ effects was determined to be 1.06, and the multiplier to account for P-Δ effects was determined to be 1.25. Determine the required second-order flexural strength, Mr, at the top of the member.Type of analysisPu (kips)Mtop (kip-ft)Mbottom (kip-ft)Nonsway4906021Sway2003585 

The beam-column of A992 steel is part of a braced frame with L = 15 ft, Pu = 300 kip, Mux = 105 kip-ft. A second-order analysis was performed with factored loads and reduced member stiffnesses to obtain the moments and axial force. Bending is about the strong axis. Considering only W14x68, W14x74, and W14x82, use ASD to select the lightest acceptable shape. Let Kx = 1.0, Ky = 1.0, and Cb = 1.0.

Determine the value of the section modulus, S, about the horizontal z axis for the section. Let bf = 11 in., d = 18 in., tw = 0.250 in., and tf = 0.750 in.