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The degree of static indeterminacy of the following beam is :
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The degree of static indeterminacy of the following beam is :a)1b)2c)...
The number of support reactions = 2 (A is pin support) + 1 (C is a roller support) + 3 (D is a fixed support)
r = 2 + 1 + 3 = 6 ⟹ r = 2 + 1 + 3 = 6
Number of equilibrium equations = 3 (global equilibrium) + 1 (due to internal hinge)
e = 3 + 1 = 4 ⟹ e = 3 + 1 = 4
Degree of static indeterminacy, SI = r − e = 6 − 4 = 2SI = r − e = 6 − 4 = 2
Note: The number of additional equilibrium equations obtained due to presence of hinge = n - 1 (where n = number of members connected to the hinge). Here, n = 2; hence number of additional equilibrium equations = (2 - 1) = 1
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The degree of static indeterminacy of the following beam is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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