A W14x82 of A992 steel is to be investigated for use as a beam-column in an unbraced frame. The length is 13 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 1.20, and the multiplier to account for P-Δ effects was determined to be 1.12. Determine the required second-order axial strength, Pr, of the member.Type of analysisPu (kip)Mtop (kip-ft)Mbottom (kip-ft)Nonsway3103033Sway1555580 

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. The multiplier to account for P-δ effects was determined to be 1.05, and the multiplier to account for P-Δ effects was determined to be 1.26. Determine the required second-order axial strength, Pr, of the member.Type of analysisPu (kip)Mtop (kip-ft)Mbottom (kip-ft)Nonsway4903532Sway1454095 

An unbraced beam-column within a rigid frame has an Euler buckling strength of 1,780 kips with a story shear of 3.42 kips. What is the drift index for the column?

The beam-column of A992 steel is part of a braced frame with L = 15 ft, Pu = 300 kip, Mux = 125 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 LRFD, select the lightest acceptable shape. Let Kx = 1.0, Ky = 1.0, and Cb = 1.0.ShapeValue of AISC interaction equationW12x580.956W12x720.700W12x790.634W12x870.571W12x960.513 

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 1.14, and the multiplier to account for P-Δ effects was determined to be 1.26. Determine the required second-order flexural strength, Mr, at the top of the member.Type of analysisPu (kips)Mtop (kip-ft)Mbottom (kip-ft)Nonsway3103531Sway1005595 

The beam-column of A992 steel is part of a braced frame with L = 15 ft, Pu = 320 kip, Mux = 125 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 equationW12x581.496W12x721.092W12x790.990W12x870.892W12x960.802 

In the equation , the variable α is equal to _____ for ASD.

If an unbraced frame supports only a vertical load but the load is unsymmetrically placed, there will be a small amount of _______.

An example of beam-columns can sometimes be found in roof trusses when purlins are placed between joints.

Using ASD, determine whether the following member satisfies the appropriate AISC interaction equation. Do not consider moment amplification. The loads are 50% dead and 50% live load. Bending is about the x-axis.Given:    W14x82, A992    Applied axial compression force = 220 kip    Applied constant bending moment = 180 ft-kip    L = 14 ft    pin-pin connected    laterally braced at ends    Kx = Ky = 1    Cb = 1