How to draw shear force and bending moment diagram for a simply supported beam
This construction video tutorial will provide useful guidance to produce shear force and bending moment diagram without any difficulty toward a simply supported beam that contains concentrated loads.
A simply supported beam is supported on the ends which can easily rotate and do not contain any moment resistance. It refers to a type of beam that contains pinned support at one end and roller support at the other end. Subject to the functional load, it sustains shearing and bending.
To do this, you have to initially work out the reaction by adopting equilibrium equations like ∑x = 0, ∑y = 0 and ∑M = 0;
From the second equation, it is found that the loading and reactions are situated in y direction. So, if there is 10 kilonewton load over a beam having length 4 meter, a reaction called RA will be formed in A side and RB on the B side.
Therefore, the first equation we get as Ra + Rb = 10 KN
The second equation we get as the calculation of the moment. To work out the moment, the following formula will be used :-
10 x 2 – 4 x rb = 0
rb = 20/4
rb = 5
ra = 5
To learn, how the formula is derived, watch the following video tutorial.
Video Courtesy : Short Notes