Direction: A truss is shown in the figure. Members are to equal cross section A and same modulus of elasticity E. A vertical force P is applied at point C.
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Deflection of the point C is
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(2√2 + 1) PL 2 EA -
√2 PL EA -
(2√2 + 1) PL EA -
(√2 + 1) PL EA
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Correct Option: A
Deflection at C,
| δc = | (Unit load method) | AE |
All internal member have zero force
| ∴ δc = | AE |
| = | + | + | ||||
| √2AE | √2AE | 2AE |
| = | ||||
| 2 | AE |