A bronze c86100 cylinder with diameter d₂ = 60 mm is nested inside a stainless steel tube with inner diameter of d₁ = 80 mm L = 250 mm and wall thickness of t = 10 mm. The bronze cylinder is = 1 mm taller than the stainless steel tube. What is the largest axial load, P, that can be applied without either material yielding? For this problem, use Ebr = 103 GPa, Est t = 193 GPa, σy, br = 345 MPa, σy,st = 207 MPa. P A δ L B d₂ 歌 CC BY NC SA 2021 Cathy Zupke The maximum load before yielding is P = KN

Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.

Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.

Solve the preceding problem if the thickness of the steel plate is. t = 12 mm. the gage readings are x = 530 × 10-6 (elongation) and y = -210 -× l0-6 (shortening), the modulus is E = 200 GPa, and Poisson’s ratio is v = 0.30.