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. 2L T Steel pipe Aluminum pipe 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 and in the aluminum and steel pipes, respectively. (Enter the magnitudes. Use the following as necessary: P, E, E A and A.) (b) Calculate the stresses and (in psi) for the following data. (Enter the magnitudes.) P = 15 kips A₂ = 9.05 in², cross-sectional area of aluminum pipe 1.16 in2, cross-sectional area of steel pipe psi psi As E = 10 x 106 psi, modulus of elasticity of aluminum Es 29 x 106 psi, modulus of elasticity of steel

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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.
T
-Steel pipe
%₂
Aluminum
pipe
Ⓡ
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 and in the aluminum and steel pipes, respectively. (Enter the magnitudes. Use the following as necessary: P, E E A and A.)
(b) Calculate the stresses and (in psi) for the following data. (Enter the magnitudes.)
P = 15 kips
A₂ = 9.05 in ², cross-sectional area of aluminum pipe
A = 1.16 in², cross-sectional area of steel pipe
E₂ = 10 x 106 psi, modulus of elasticity of aluminum
E = 29 x 106 psi, modulus of elasticity of steel
psi
psi
Transcribed Image Text: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. T -Steel pipe %₂ Aluminum pipe Ⓡ 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 and in the aluminum and steel pipes, respectively. (Enter the magnitudes. Use the following as necessary: P, E E A and A.) (b) Calculate the stresses and (in psi) for the following data. (Enter the magnitudes.) P = 15 kips A₂ = 9.05 in ², cross-sectional area of aluminum pipe A = 1.16 in², cross-sectional area of steel pipe E₂ = 10 x 106 psi, modulus of elasticity of aluminum E = 29 x 106 psi, modulus of elasticity of steel psi psi
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