Solved Problem on Strength of Materials

Submitted by tushar pramanick on Tue, 07/23/2013 - 08:40
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GATE 2013 : Mechanical Engineering

Q. 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 E2 along the length of the rod, the normal stress developed at the section-SS is

 

Options: A. [tex]\frac{P}{A}[/tex]   B. [tex]\frac{{P({E_1} - {E_2})}}{{A({E_1} + {E_2})}}[/tex]

C. [tex]\frac{{P{E_2}}}{{A{E_1}}}[/tex]      D. [tex]\frac{{P{E_1}}}{{A{E_2}}}[/tex]

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