For a simply supported beam carrying a concentrated moving load, the influence line for the bending moment at an interior section is generally

Correct answer: D. A triangle with a peak at the section

  • A. A rectangle over the entire span
  • B. A constant line at the support reaction
  • C. A parabola with zero end ordinates
  • D. A triangle with a peak at the section

Explanation

The bending moment at a fixed interior section varies linearly as the load moves on either side of that section. Its influence line is therefore triangular, with its maximum ordinate directly under the section and zero at the supports.

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About Structural Analysis

Structural analysis determines how beams, frames, trusses and arches carry loads through reactions, shear forces, bending moments, axial forces and deflections. It covers free-body diagrams, equilibrium equations, determinacy, influence lines and methods such as slope deflection, moment distribution and virtual work, while distinguishing analysis of a structure from its design.

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