Engineering Intro

Reactions of Simply Supported Beam


 

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

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.

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

 

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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