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A propped cantilever beam EF is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also shown. The CORRECT qualitative nature of the influence line diagram for shear force at G is

A propped cantilever beam EF is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also shown. The CORRECT qualitative nature of the influence line diagram for shear force at G is Correct Answer <img alt="F1 Chandramouli Anil 01.03.21 D8" src="//storage.googleapis.com/tb-img/production/21/03/F1_Chandramouli_Anil_01.03.21_D8.png" style="width: 297px; height: 86px;">

Concept:

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. It 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.

Explanation:

[ alt="F1 Chandramouli Anil 01.03.21 D6" src="//storage.googleapis.com/tb-img/production/21/03/F1_Chandramouli_Anil_01.03.21_D6.png" style="width: 339px; height: 241px;">

[ alt="F1 Killi 8.3.21 Pallavi D17" src="//storage.googleapis.com/tb-img/production/21/03/F1_Killi_8.3.21_Pallavi_D17.png" style="width: 238px; height: 113px;">

[ alt="F1 Chandramouli Anil 01.03.21 D8" src="//storage.googleapis.com/tb-img/production/21/03/F1_Chandramouli_Anil_01.03.21_D8.png" style="width: 297px; height: 86px;">

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