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Strength Of Materials Miscellaneous

Strength Of Materials

  1. 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

    1. P
      A

    2. P(E1 - E2)
      A(E1 - E2)

    3. PE2
      AE1

    4. PE1
      AE2
Correct Option: A

At section 55 : -
The left side of rod

Normal stress σn =
R
=
P
AA


∑Fx = 0 ,
R - P = 0


∑Fx = 0
⇒ R2 - P = 0
⇒ R2 = P
Normal stress σn =
P2
=
P
AA

∴ Hence normal =
P
A



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