ISRO Mechanical & Aerospace 2009 - Question 41

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An overhang beam ABC of length 4m is supported at A and B 3m apart. It is loaded with UDL of 5kN/m along its entire length. Find the value of load 'P' at C such that the reactions A and B are equal and opposite.

Figure for question 41, ISRO Mechanical & Aerospace 2009

  • A. P = 10 kN
  • B. P = 30 kN
  • C. P = 20 kN
  • D. P = 25 kN

Answer: C. P = 20 kN

Explanation: For reactions to be equal and opposite ($R_A = -R_B$), the net vertical reaction force is zero, which implies the net external vertical load is zero if P acts upwards. With UDL 20kN down, P must be 20kN up.

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