The aluminum and steel pipes shown in the figure are fastened to rigid supports at ends A and B and to a rigid plate C at their junction. The aluminum pipe is twice as long as the steel pipe. Two equal and symmetrically placed loads P act on the plate at C.
(a) Obtain formulas for the axial stresses σa and σs in the aluminum and steel pipes, respectively.
(b) Calculate the stresses for the following data: P = 12 k, cross-sectional area of aluminum pipe Aa = 8.92 in.2, cross-sectional area of steel pipe As = 1.03 in.2, modulus of elasticity of aluminum Ea = 10 = 106 psi, and modulus of elasticity of steel Es = 29 × 106 psi.

Transcribed Image Text:

Steel pipe Aluminum pipe 2L