A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (Es = 29 x 106 psi and as = 6.5 × 10-6/°F) and portion BC is made of aluminum (Ea = 10.4 × 106 psi and αa = 13.3 × 10-6/°F). The rod is initially unstressed before a temperature rise of 68°F. 24 in.-- B -32 in. C

vi)  Using Macauley’s method, determine the deflection of the member at the locations where the 25 kN, 20 kN and 50 kN point loads are applied. Comment on how the maximum deflection of the member could be determined. Material properties for steel: Maximum allowable tensile stress = 750 MN/m2 Maximum allowable torsional shear stress = 375 MN/m2 Young’s Modulus of elasticity = 205 GN/m2Modulus of rigidity = 81 GN/m2Poisson’s ratio = 0

Determine the deflection at x=2.5 m and x=8.

Part A μà Value 2a f 6 kN 1 m Determine the minimum dimension a to the nearest mm of the beam's cross section to safely support the load. The wood has an allowable normal stress of allow = 10.6 MPa and an allowable shear stress of Tallow = 1 MPa (Figure 1) Express your answer as an integer and include the appropriate units. t O 6 kN Units Im ? h