"If an internal stress component like shear force, bending moment or reaction component is allowed to act through a small distance thereby causing deformation of the structure, the curve of the deformed shape represents to some scale, the influence line diagram for that stress or the reaction component."

The above statement is known as

This question was previously asked in
BPSC AE Paper 5 (Civil) 11 Nov 2022 Official Paper
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  1. Müller-Breslau principle
  2. Castigliano's theorem
  3. Maxwell's theorem
  4. Macaulay's theorem

Answer (Detailed Solution Below)

Option 1 : Müller-Breslau principle
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concept:

According to Muller Breslau Principle:

“If an internal stress component (shear force, bending moment etc) or reaction component is allowed to act through a small distance thereby causing deformation of the structure, the curve of the deformed shape represents to some scale, the influence lines for that stress or the reaction component.”

Application: Muller-Breslau's Principle is applicable to all structures, determinate or indeterminate.

Note:

  • In the case of determinate systems, the ILD can be obtained directly by allowing unit deformation corresponding to the constraint.
  • For indeterminate structure, it is applicable only when the material is within the elastic limit and obeys Hook's law so that the law of superposition holds good.

This principle gives an excellent experiment approach to determine the influence lines for indeterminate structure.

∴ Influence lines can be drawn for all structures, determinate or indeterminate.

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