3 Problem 3: Material behaviorSolve 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 andthe 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 aninitial gap g between them. What temperature change is required to make the bars touch?απ-gα2L1 L2AT =c) A thin disk is radially constrained around its edge by a rigid support. What is the change inthickness At due to an increase in temperature AT?ΟΙΕ,ν,αAt =

(As per Bartleby's authoring guidelines, only one question at a time to be answered.)a)Change in…

Answered: a) A long cylindrical bar is loaded by…

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 =

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

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Question

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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