Q1. The steel frame ABCD (elastic modulus, Es) shown, has a diagonal brace BD with an area of A. Determine the largest allowable load P if the change in length of member BD is  not to exceed δmax

Q2. Two solid circular shafts, AB (length 2L and diameter 3d) and BC (length 3L and diameter 2d), both with shear modulus G are connected to a coupling disk B and to fixed supports at A and C. For the loading shown, find expressions for the following in terms ofT, L, G and d.

(a) the reaction at each support,

(b) the maximum shearing stress in shaft AB,

(c) the maximum shearing stress in shaft BC

Q3. Three forces are applied to the bar shown. Determine the normal and shear stresses at points a, b, and c.