GATE XE (Engineering Sciences) 2014 - Question 57

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Section: Solid Mechanics | Marks: 2

A cantilever beam of length L supports a concentrated load P at the free end. The cross section of the beam is rectangular with constant width b and varying depth h. The depth h of this idealized cantilever beam varies in such a way that the maximum normal stress at every cross section remains equal to the allowable bending stress. Considering only the bending stresses, the depth hx of the fully stressed beam at any distance x from the free end shall vary

Figure for question 57, GATE XE (Engineering Sciences) 2014

  • A. with square of x
  • B. with square root of x
  • C. linearly with x
  • D. with cube of x

Answer: B. with square root of x

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