The lateral-translation moment, Mlt, can be cause by _______ or by unbalanced gravity loads.

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 1.02, and the multiplier to account for P-Δ effects was determined to be 1.23. Determine the required second-order flexural strength, Mr, at the top of the member.Type of analysisPu (kips)Mtop (kip-ft)Mbottom (kip-ft)Nonsway4703033Sway1505095 

Most beams are subjected to some degree of both _______ load. This is especially true of statically indeterminate structures.

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 = 160 ft-kip    L = 15 ft    pin-pin connected    laterally braced at ends    Kx = Ky = 1    Cb = 1

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 1.14, 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)Nonsway3755516Sway1305595 

Compute the LRFD moment amplification factor B1 for the W8x58 made from ASTM A992 steel with L = 15 ft, P = 260 kip, M = 200 kip-ft, and Kx = Ky = 1.0. Bending is about the x axis. The member is part of a braced frame, and the given service loads are 40% dead load and 60% live load. The frame analysis was performed consistent with the effective length method, so the flexural rigidity was unreduced.

An engineer analyzes an unbraced frame and determines the sum of the required load capacities for all the columns in the frame is 336 kips (unfactored) while the total elastic buckling strength of the same frame is 2,142 kips. From these values, what is the ASD amplification factor for sidesway moments of the frame?

In unbraced frames subject to sidesway, two amplification factors are needed.

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 1.07, and the multiplier to account for P-Δ effects was determined to be 1.20. Determine the required second-order axial strength, Pr, of the member.Type of analysisPu (kip)Mtop (kip-ft)Mbottom (kip-ft)Nonsway3153522Sway16525105 

Mnt represents the maximum moment assuming that no sidesway occurs.