solve asap with complete explanation Problem # 1 A linearly elastic bar is made of two different materials, and beforebeing stretched it occupies the interval 0 SASlo. Also, before being stretched, forOSA< A0, the modulus and density are E = E, and R = R1, while for A,< A < l,they are E = Egand R = Rg. Both R, and Rg are constants. (Hint: It is useful todefine separate functions UL(A), UR(A), T¿(A), TR(A), etc. on the left and rightparts of the domain.)e(a) The requirements at the interface, where A = A, are that the displacement andstress are continuous. Express these requirements mathematically, using one-sidedlimits.(b) Suppose the bar is stretched and the boundary conditions are U(0, t) = 0 and U(,t) =l – lo. Assume there are no body forces. Find the steady state solution for thedensity, displacement and stress. «

the boundery conditions are limA→A0- UL(A)=limA→A0+UR(A)UL and UR are the displacement and stress…

Answered: being stretched it occupies the…

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being stretched it occupies the interval 0

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

solve asap with complete explanation

Problem # 1 A linearly elastic bar is made of two different materials, and before
being stretched it occupies the interval 0 SASlo. Also, before being stretched, for
OSA< A0, the modulus and density are E = E, and R = R1, while for A,< A < l,
they are E = Egand R = Rg. Both R, and Rg are constants. (Hint: It is useful to
define separate functions UL(A), UR(A), T¿(A), TR(A), etc. on the left and right
parts of the domain.)e
(a) The requirements at the interface, where A = A, are that the displacement and
stress are continuous. Express these requirements mathematically, using one-sided
limits.
(b) Suppose the bar is stretched and the boundary conditions are U(0, t) = 0 and U(,
t) =l – lo. Assume there are no body forces. Find the steady state solution for the
density, displacement and stress. «

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