ISRO Mechanical & Aerospace 2017-2 - Question 1

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Topic: Strength of Materials

A beam is fixed at one end and is vertically supported at the other end. What is the degree of statical indeterminacy?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Answer: A. 1

Explanation: For a propped cantilever beam, there are four reactions: $R_{H}$, $R_{A}$, $M_{A}$ at the fixed end, and $R_{B}$ at the vertical support. There are three independent equations of static equilibrium ($\sum H=0$, $\sum V=0$, and $\sum M=0$). Therefore, the degree of static indeterminacy = No. of Reactions - No. of equilibrium equations = $4 - 3 = 1$.

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