SITUATION A. Determine the available strength of the compression members shown. Use AISC to compute both the ff: 1. design strength for LRFD 2. allowable strength for ASD. Iex 21/11 20 ft TTTTT 2012 12 ft 8 ft € S 12 x 35 A36 A=10.2 in², rx=4.72 in, ry=0.98 in b. Iex 34 ft 777777 nut 12 ft 12 ft 10 ft M 777M 7777 MC 8 x 20 A36 A=5.87 in², rx-3.04 in, ry=0.867 in

Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?

Combined Stresses Given Hollow Steel Section (HSS) that is 4"x6" and 1/2" thick, with axial and transverse loading shown, determine the total normal stress at a. The 5k load on the bottom of the beam b. At the mid-span in the middle of the beam C. At the 10k load on top of the beam 5k 10k A 5' 10' 5' B CENTROID 4" 5 k 3k 8k 6" 2' 6.25k 8.75k +6.25k SECTION +1.25k 'V" -8.75k +43.75k-ft. +31.25k-ft. 'M' 8k 5 k + tension P = Ok %3D

What is the allowable bending stress number, sat, in ksi,  for grade 1 Steel Material flame - hardened 54 HRC?