GATE XE (Engineering Sciences) 2023 - Question 58

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Section: Solid Mechanics | Type: MSQ | Marks: 2

A uniform cantilever beam has flexural rigidity 𝐸𝐼 and length 𝐿. It is subjected to a concentrated force 𝐹 and moment 𝑀= 2𝐹𝐿 at the free end as shown. The deflection (𝛿) at the free end is

Figure for question 58, GATE XE (Engineering Sciences) 2023

  • A. 11𝐹𝐿3 12𝐸𝐼
  • B. 8𝐹𝐿3 9𝐸𝐼
  • C. 4𝐹𝐿3 3𝐸𝐼
  • D. 7𝐹𝐿3 6𝐸𝐼

Answer: C. 4𝐹𝐿3 3𝐸𝐼

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