GATE CE 2017 Set 1 — Question 41
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Structural Engineering → Indeterminate Analysis & Influence Lines → Influence Lines
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Question
Consider the beam shown in the figure.
For a moving concentrated load of kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support will be equal to ___________
Correct answer
199 to 201
Solution
1.Determine the Influence Line Diagram (ILD) for :
- The beam is statically determinate due to the internal hinge at .
- For a unit load on span , the moment at support is zero () because and act as simple supports for any load within that span.
- For a unit load on the segment , the part acts as a beam with an overhang . A load at distance from on the overhang creates a moment .
- The maximum ordinate occurs when the load is at the furthest point from that still transmits load to the support. This is at the hinge (and by extension, any load on is transferred to ).
- Max ordinate at m.
- The maximum bending moment at occurs when the kN moving load is placed at point .
- .
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