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  • Question

  • The width b and depth d of a beam cut from a wooden cylindrical log of 100 cm diameter for maximum strength are :


  • Options
  • A. b = 57.73 cm d = 81.65 cm
  • B. b = 81.65 cm d = 57.73 cm
  • C. b = 50.00 cm d = 50.00 cm
  • D. b = 40.00 cm d = 80.00 cm
  • E. b = 30.00 cm d = 60.00 cm.

  • Correct Answer
  • b = 57.73 cm d = 81.65 cm 

    • Strength of Materials problems

    Search Results

    • 1. For a cantilever with a uniformly distributed load W over its entire length L, the maximum bending moment is

    • Options
    • A. WL
    • B. WL
    • C. WL
    • D. W2L
    • E. WL2
      • Discuss
    • 2. The ratio of the maximum deflection of a cantilever beam with an isolated load at its free end and with a uniformly distributed load over its entire length, is

    • Options
    • A. 1
    • B.
    • C.
    • D.
    • E.
      • Discuss
    • 3. The width of a beam of uniform strength having a constant depth d length L, simply supported at the ends with a central load W is

    • Options
    • A.
    • B.
    • C.
    • D.
      • Discuss
    • 4. For a beam of uniform strength keeping its depth constant, the width will vary in proportion to

    • Options
    • A. bending moment (M)
    • B. M
    • C. M2
    • D. none of these.
      • Discuss
    • 5. A rectangular log of wood is floating in water with a load of 100 N at its centre. The maximum shear force in the wooden log is

    • Options
    • A. 50 N at each end
    • B. 50 N at the centre
    • C. 100 N at the centre
    • D. none of these.
      • Discuss
    • 6. The stress necessary to initiate yielding, is considerably

    • Options
    • A. more than that necessary to continue it
    • B. less than that necessary to continue it
    • C. more than that necessary to stop it
    • D. less than that necessary to stop it.
      • Discuss
    • 7. The maximum deflection of

    • Options
    • A. a simply supported beam carrying a uniformly increasing load from either end and having the apex at the mid span is
    • B. a fixed ended beam carrying a distributed load over the span is
    • C. a fixed ended beam carrying a concentrated load at the mid span is
    • D. a cantilever beam subjected to a moment M at the free end is
    • E. All the above.
      • Discuss
    • 8. If the length of a cantilever carrying an isolated load at its free end is doubled, the deflection of the free end will increase by

    • Options
    • A. 8
    • B. 1/8
    • C. 1/3
    • D. 2
    • E. 3
      • Discuss
    • 9. The equivalent length of a column fixed at one end and free at the other end, is

    • Options
    • A. 0.5 l
    • B. 0.7 l
    • C. l
    • D. 2 l
    • E. 1.5 l.
      • Discuss
    • 10. Hooke's law states that stress and strain are

    • Options
    • A. directly proportional
    • B. inversely proportional
    • C. curvilinearly related
    • D. none of these.
      • Discuss

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