GATE XE (Engineering Sciences) 2024 - Question 45

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Section: Solid Mechanics | Marks: 1

An L-shaped rigid member is fixed at the midpoint of a simply-supported beam, as shown in figure (i). The member is subjected to a vertically downward force P at its free end. In an equivalent system, the member along with the applied load is replaced with a force Q = P and a moment M (see figure (ii)). Which of the following statements is correct? (Neglect the mass of the beam and of the rigid member)

Figure for question 45, GATE XE (Engineering Sciences) 2024

  • A. M = P a
  • B. M = P b
  • C. M = P (a + b)
  • D. M = 0

Answer: A. M = P a

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