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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

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.

  1. Deflection of the point C is
    1. (2√2 + 1)
      PL
      2EA
    2. 2
      PL
      EA
    3. (2√2 + 1)
      PL
      EA
    4. (√2 + 1)
      PL
      EA
Correct Option: A

Deflection at C,

δc =
∑ PPL
(Unit load method)
AE

All internal member have zero force
∴ δc =
∑ PPL
AE

=
PL
+
PL
+
PL
2AE2AE2AE

=
(2√2 + 1)
PL
2AE



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