GATE CE 2021 Set 1 — Question 14
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Structural Engineering → Indeterminate Analysis & Influence Lines → Influence Lines
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Question
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
(B) [figure]
Solution
For a propped cantilever beam, the influence line diagram (ILD) for shear at a section is obtained by introducing a shear release at and applying a unit relative displacement. Since the structure is statically indeterminate, the ILD will be a curve. According to the Müller-Breslau principle, the deflected shape of the structure represents the ILD. Option (B) correctly represents this qualitative shape for a propped cantilever beam.
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