Determine the Euler Buckling axial compressive load of W 12 x 72 section having a length of L=59 ft and fixed ends, P kips.

The aluminum W 310 x 202 (wide flange) column is subjected to an eccentric axial load P as shown. The maximum compressive stress in the column is given by the so-called secant formula: where --- [¹ + ( √5)] ec o 1+ sec max E ō = P/A = average stress A = 25800 mm² = cross-sectional area of the column e = 85 mm = eccentricity of the load c = 170 mm = half depth of the column r = 142 mm = radius of gyration of the cross section L = 7100 mm = length of the column E = 71 x 10⁹ Pa = modulus of elasticity Determine the maximum load P that the column can carry if the maximum stress is not to exceed 120 × 10^6 Pa. Terminate the computation when Σa < 0.0005%.

Q2:The solid aluminum shaft has a diameter of 50 mm. Determine the absolute maximum shear stress in the shaft and sketch the shear-stress distribution along a radial line of the shaft where the shear stress is maximum. Set T =2000 N m. 300 N-m 600 N-m 900 N-m