GATE CE 2017 Set 1 — Question 29
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Structural Engineering → Determinate Structures & Energy Methods → Indeterminate Structures
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Question
A planar truss tower structure is shown in the figure.
Consider the following statements about the external and internal determinacies of the truss.(P) Externally Determinate
(Q) External Static Indeterminacy = 1
(R) External Static Indeterminacy = 2
(S) Internally Determinate
(T) Internal Static Indeterminacy = 1
(U) Internal Static Indeterminacy = 2Which one of the following options is correct?
(Q) External Static Indeterminacy = 1
(R) External Static Indeterminacy = 2
(S) Internally Determinate
(T) Internal Static Indeterminacy = 1
(U) Internal Static Indeterminacy = 2Which one of the following options is correct?
Correct answer
(A) P-False; Q-True; R-False; S-False; T-False; U-True
Solution
1.External Static Indeterminacy ():
The truss is supported by two hinges. Each hinge has 2 reaction components. Total reactions .Number of equilibrium equations .
. Thus, statement (Q) is True and (P), (R) are False.
2.Internal Static Indeterminacy ():
For a planar truss, .From the figure, number of joints and number of members .
.
Thus, statement (U) is True and (S), (T) are False.Combining these, the correct option is (A).
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