Reactions of Simply Supported Beam


 

Reaction is a response to action that is acting on the beam in the form of vertical forces.

photo 1

In order to calculate reactions R1 and R2, one should must be familiar about taking moment and law of equillibrium.

Take moment about point D, for calculation of reaction R1.

\(\sum M_{D}\space\ = 0\)

How to find reactions of simply supported beam

 

Law of Equilibrium says;

Clock wise moments = Counter clock wise moments

R1 x 6 = 400 x 1.5 + 1000 x 3

6R1 = 600 + 3000

6R1 = 3600

R1 = 600 Kg

Right now, we are familiar about value of reaction at point A. Reaction at point B can be calculated simply by subtracting R1 from sum of vertical forces.

\(\sum F_{V}\space\ = 0\)

R1 + R2 = 1000 + 400

R2 = 1400 – R1

R2 = 1400 – 600

R2 = 800 Kg 

 

 

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