ISRO Mechanical & Aerospace 2013 - Question 46

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For a particular load distribution and support condition in a beam of length 'L', bending moment at any section 'x' (O < x < L) is given by M(x) = Ax - Bx², where A and B are constants. The shear force in the beam will be zero at 'x' equal to

  • A. A/2B
  • B. A/B
  • C. 2A/B
  • D. A²/B

Answer: A. A/2B

Explanation: Shear force V = dM/dx = A - 2Bx. For V=0, A-2Bx = 0 => x = A/2B.

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