For a simply supported beam carrying a moving point load, the influence line for the left support reaction is
Correct answer: A. A straight line decreasing from one to zero
- A. A straight line decreasing from one to zero
- B. A straight line increasing from zero to one
- C. A constant line equal to one
- D. A parabolic curve with zero end values
Explanation
If the unit load is at distance x from the left support on a span L, the left reaction is (L minus x)/L. Therefore, its influence line is a straight line with ordinate one at the left support and zero at the right support.
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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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