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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

Direction: A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidity.

  1. The reaction at the middle support is
    1. wL
    2. 5wL/2
    3. 5wL/4
    4. wL2/16
Correct Option: C

When support C is removed

δL =
5
w(2L)4
384EI

Actual
δL =
R(2L)3
48EI


By compatibility equation,
5
w × 16L4
=
R × 8L3
384EI48EI

∴ R =
8wL
4



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