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Flexibility Method - Beam with Concentrated Loads Displacements due to various loadings.
Typology: Study notes
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a b A
Similar to stiffness method the unknown reactions in flexibility method is given by F*Q = DQ - DQL
Where ,
In the above problem, DQ = 0
(since there is no sinking of supports or rotation)
Applying Unit Moment at A :
Applying Unit Moment at B :
Solving simultaneously, we get :
Taking Sum of moments at B = 0, -25.71 = RC * 10 – 12 * 5 Thus, RC = 3.429 KN (Upwards)
Shear Force Diagram:
Bending Moment Diagram:
31.075 KNm
-32.14 KNm -25.71 KNm
17.645 KNm