Question

In figure below, a uniform bar of length l m is supported at its ends and loaded by a weight W kgf at its middle. In equilibrium, find the reactions R₁ and R₂ at the ends.

April 5, 2024

Answer

R₁ + R₂ = W —- (i)

As we know, the principle of moments states that

Anticlockwise moment = Clockwise moment

Given, that the system is in equilibrium so

R₁ × $l\over2$ =R₂ × $l\over2$

Since, R₁ = R₂

Put the value of R₂ in eq (i)

R₁ + R₁ = W

or, 2R₁ = W

or, R₁ = W/2

Therefore, R₁ = $W\over2$ = R₂

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