a) A long cylindrical bar is loaded by an axial tensile force F. What is the change in length AL and the change in diameter Ad? Express your answer in terms of F, Lo, do, E, and v. AL = Ad =

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Chapter3: Transient Heat Conduction
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Problem 3: Material behavior
Solve each problem below algebraically and express your answer in terms of the given variables.
a) A long cylindrical bar is loaded by an axial tensile force F. What is the change in length AL and
the change in diameter Ad? Express your answer in terms of F, Lo, do, E, and v.
AL =
Ad =
b) Two bars with different thermal expansion coefficients are fixed to opposing walls with an
initial gap g between them. What temperature change is required to make the bars touch?
απ
-g
α2
L1 L2
AT =
c) A thin disk is radially constrained around its edge by a rigid support. What is the change in
thickness At due to an increase in temperature AT?
ΟΙ
Ε,ν,α
At =
Transcribed Image Text:Problem 3: Material behavior Solve each problem below algebraically and express your answer in terms of the given variables. a) A long cylindrical bar is loaded by an axial tensile force F. What is the change in length AL and the change in diameter Ad? Express your answer in terms of F, Lo, do, E, and v. AL = Ad = b) Two bars with different thermal expansion coefficients are fixed to opposing walls with an initial gap g between them. What temperature change is required to make the bars touch? απ -g α2 L1 L2 AT = c) A thin disk is radially constrained around its edge by a rigid support. What is the change in thickness At due to an increase in temperature AT? ΟΙ Ε,ν,α At =
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