Solved Problem on Strength of Materials

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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