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A rod made of 2014-T6 aluminum fits securely between its fixed supports A and B when the temperature is T1= 70 °F. An axial force of P is applied to the rigid collar as shown when the temperature becomes T2= –10 °F. The diameter of the solid rod is 0.5 inch. The elastic modulus of 2014-T6 aluminum is 10.6×103 ksi, the linear coefficient of thermal expansion is 12.8 ×10-6 /°F. Assume, P = 1800 lb.
A) The thermal stress in the rod caused by cooling only in the absence of force, P, is _____ ksi.
B) The reactive axial load at the fixed support B is _______ kip.
C)The axial stress on the cross-section of the aluminum rod between A and C is _______ ksi.
D) The contraction in the aluminum rod between C and B is ________ ×10-3 inch when both the thermal stress and the axial loading effects are considered.
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