Use the Steel Construction Manual to determine the plastic moment capacity, Mp, of a W14x82 beam made of A572 Grade 42 steel.

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 1.21. Determine the required second-order axial strength, Pr, of the member.Type of analysisPu (kip)Mtop (kip-ft)Mbottom (kip-ft)Nonsway3804516Sway12030100 

A W16x36 made of A913 Grade 65 steel is subjected to a maximum bending moment of 190 kip-ft about its x-axis. Determine the maximum magnitude of bending stress in the beam.

An unsymmetrical flexural member consists of a 3” × 20” top flange, a 3” × 11” bottom flange, and a 1” × 43” web. Determine the distance from the top of the shape to the horizontal plastic neutral axis.

Determine the value of plastic section modulus, Z, about the horizontal z axis for the section. Let bf = 10 in., d = 16 in., tw = 0.375 in., and tf = 0.875 in.

A W8x31 made of A572 Grade 65 steel is subjected to a maximum bending moment of 100 kip-ft about its x-axis. Determine the maximum magnitude of bending stress in the beam.

Determine the nominal flexural strength, Mn, of a W8x31 for a simple span of 12 ft with continuous lateral support. Use Fy = 90 ksi and Cb = 1.0.

A W8x31 made of A572 Grade 60 steel is subjected to a maximum bending moment of 96 kip-ft about its x-axis. Determine the maximum magnitude of bending stress in the beam.

For a W-shape beam with a moment of inertia of 545 in.4 and a depth of 22 in., determine its yield moment, My. Assume the steel is A572 Grade 60.

The beam is braced at A, B, and C. Determine the lateral-torsional-buckling modification factor, Cb, for the unbraced length AB. Let w = 8 kip/ft, LAB = 14 ft, and LBC = 7 ft.