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Question

The maximum bending moment of the center of laminated spring of span L due to load W is given by-

The correct answer is

WL/4

The bending moment M(x) at this section is the sum of the moments of all forces to one side of the section. Location Bending Moment Formula Value at Center (x=L/2) At a distance x from support (for 0 \le x \le L/2) M(x) = (W)/(2) × x N/A At the center (x=L/2) M_{max} = M\left((L)/(2)\right) (WL)/(4) Therefore, the maximum bending moment at the center of the laminated spring under a central load W is (WL)/(4). Therefore, the correct answer is WL/4.

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Important Questions from Bending Moment

  1. For a simply supported beam carrying distributed load w per unit length, consider the following relations between shear force F and bending moment M.

    A. \(\rm w=-\frac{dF}{dx}\)

    B. \(\rm w=-\frac{d^2M}{dx^2}\)

    C. \(\rm F=\frac{dM}{dx}\)

    Which of the above statements is/are correct ?

  2. A simply supported beam of 4 m span carries a uniformly distributed load all over the span of 20 kN. The maximum bending moment is

  3. When a beam is subjected to a bending moment, the strain in a layer is _____ the distance from the neutral axis.

  4. A cantilever and a simply supported beam have the same length and are subject to the same uniformly distributed load. The ratio of their maximum bending moments is
  5. For a cantilever beam of length 2 m, under load of 1 kN/m, the maximum bending moment is

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