An aluminum alloy pipe AB [EAB = 12,000 ksi] with a cross-sectional area of AAB = 6.40 in.2 is connected at flange B to a steel pipe [EBC = 50,000 ksi] with a cross-sectional area of ABC = 7.60 in.2. The assembly is connected to rigid supports at A and C. [LAB = 86 in.; LBC = 146 in.; PB = 177 kips ⇾] Determine the normal stresses in aluminum pipe AB and steel pipe BC.
An aluminum alloy pipe AB [EAB = 12,000 ksi]
with a cross-sectional area of AAB = 6.40 in.2 is
connected at flange B to a steel pipe [EBC =
50,000 ksi] with a cross-sectional area of ABC
= 7.60 in.2. The assembly is connected to rigid
supports at A and C.
[LAB = 86 in.; LBC = 146 in.; PB = 177 kips ⇾]
Determine the normal stresses in aluminum
pipe AB and steel pipe BC.
To determine the normal stress in pipes AB and BC.
Given,
Modulus of elasticity of aluminum, EAB = 12000 ksi
Cross-sectional area of pipe AB, AAB = 6.4 in2
Length of pipe AB, LAB = 86 in
Modulus of elasticity of steel, EBC = 50000 ksi
Cross-sectional area of pipe BC, ABC = 7.6 in2
Length of pipe BC, LBC = 146 in
Load acting at point B, PB = 177 kips
The stress in the pipes can be obtained by using the conditions of static equilibrium and compatibility.
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