A The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of Problem 4: Steel A= 480 mm? 1.0 m B elasticity are 200 GPa for steel and 80 GPa for bronze. Problem 5: The compound bar carries the axial forces P and 2P. Find the maximum allowable value of P if the working stresses are 40 ksi for steel and 20 ksi for alumi- num, and the total elongation of the bar is not to exceed 0.2 in. 3P Bronze A= 650 mm 2 m 3 ft 4 ft 2P Steel A = 0.4 in.2 E = 29 x 10° psi 2P Aluminum A = 0.6 in.2 E= 10 x 10° psi

A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :

Two steel plates are connected by a pair of splice plates with eight bolts as shown. The ultimate strength of the bolts is bolts is 270 MPa. An axial tension load of P = 480 kN is transmitted by the steel plates. If a factor of safety of 1.6 with respect to failure by fracture is specified, determine the minimum acceptable diameter "d" for the bolts. %3D P. splice plate steel steel plate plate (2) (1)

7) A specimen of steel 20 mm diameter with a gauge length of 200 mm is tested to destruction. It has an extension of 0.25 mm under a load of 80 kN and the load at elastic limit is 102 kN. The maximum load is 130 kN. The total extension at fracture is 56 mm and diameter at neck is 15 mm. Find (i) The stress at elastic limit. (ii) Young's modulus. (iii) Percentage elongation. (iv) Percentage reduction in area. (v) Ultimate tensile stress.