A single L8x6x1/2 (A36 steel) is used as a tension brace in a multi-story building. The 8 inch leg of  the angle is attached to a gusset plate with two lines of four ¾ inch Ø bolts at a spacing of 3  inches. Determine the shear lag factor (consider Case 2 & 8) and the effective net area.  Considering yielding and net section rupture, determine the design strength by LRFD and the  allowable strength by ASD. (PLEASE SOLVE THIS ONE WITH THE BOLD TEXT)

12. An aluminum sleeve is held between the head and the nut of a steel bolt. The temperature is raised 40°F from 60°F after the nut is turned 45° against the sleeve from loose contact therewith. Calculate the stresses in the sleeve and the bolt. BOLT IS 1/2" DIA, 16 THREADS/ IN. E(ALUM.) 10 x 106 psi E (STEEL)= 30×106 psi Coefficient of linear expansion STEEL: 6.5 x 10-6 °/°F ALUM: 12 x 10-6/F

The figure shows a round shaft from a gear transmission. Gears are mounted at points A, C, and E. Supporting bearings are at B and D. The forces transmitted from the gears to the shaft are shown, all acting downward. Compute the maximum stress due to bending in the shaft, accounting for stress concentrations. Draw shear diagram and moment diagram. calculate the safety factor for the material selected. The material is 4150 OQT 1300. Assume that f1 = 9.5 KN , f2= 13.5 KN and f3 =18 KN

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