GATE CE 2014 Set 2 — Question 22
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Structural Engineering → Indeterminate Analysis & Influence Lines → Indeterminate Structures
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Question
The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________
Correct answer
0 to 0
Solution
Static Indeterminacy () for a 2D beam is calculated as:Where:
- = Total number of external support reactions.
- = Number of equilibrium equations (3 for 2D structures: ).
- = Number of internal releases (equations provided by internal hinges).
- Left support is a hinge: 2 reactions ().
- Middle support is a roller: 1 reaction ().
- Right support is a roller: 1 reaction ().
- Total reactions .
- Equilibrium equations .
- Internal hinge provides 1 release equation ().
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