According to the Müller-Breslau principle, an influence line for a response quantity is obtained by releasing the corresponding restraint and applying what action?

Correct answer: C. A unit displacement in the positive response direction

  • A. A unit temperature rise at the support
  • B. A uniformly distributed load over the member
  • C. A unit displacement in the positive response direction
  • D. A full-span concentrated load

Explanation

The influence line is proportional to the deflected shape produced when the restraint associated with the response is released and a unit displacement or rotation is imposed. The type of release depends on whether the response is a reaction, shear, moment, or another quantity.

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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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