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A rod of length L having uniform cross-section 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 at
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P A
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P(E1 - E2) A(E1 - E2)
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PE2 AE1
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PE1 AE2
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Correct Option: A
At section 55 : -
The left side of rod
Normal stress σn = | = | |||
A | A |
∴ | ∑Fx = 0 , | |
R - P = 0 |
∑Fx = 0
⇒ R2 - P = 0
⇒ R2 = P
Normal stress σn = | = | |||
A | A |
∴ Hence normal = | ||
A |