A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young's modulus of the material varies linearly from E, to E, along the length of the rod, the normal stress developed at the section S-S is E₁₁ P - L/2- L -S -S E2 P

A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young's modulus of the material varies linearly from E, to E, along the length of the rod, the normal stress developed at the section S-S is E₁₁ P - L/2- L -S -S E2 P

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.6.9P: A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial...

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Question

A rod of length L having uniform cross-sectional
area A is subjected to a tensile force P as shown
in the figure below. If the Young's modulus of the
material varies linearly from E₁ to E, along the
length of the rod, the normal stress developed at
the section S-S is
P-
S
E₁
I
L/2-
S
- L-
E₂
-P

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