ISRO Mechanical & Aerospace 2017 - Question 5

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Topic: Engineering Mechanics

The force in member BC of steel truss structure shown in figure below is (Cross section of each member is A, Length of each member is 'l')

Figure for question 5, ISRO Mechanical & Aerospace 2017

  • A. P₁ + 2P₂
  • B. 2P₁ + P₂
  • C. 2×(P₁ + P₂)
  • D. (P₁ + P₂)/2

Answer: C. 2×(P₁ + P₂)

Explanation: By taking moments about point G for the right-hand side of the section, F_BC × l = 2P₁ × l + P₂ × 2l, which simplifies to F_BC = 2P₁ + 2P₂ = 2(P₁ + P₂).

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