Question

if a simply supported span is reduced by 10 percent , what will Happen to deflection ?

Answer 1

Deflection of the beam decreases as length or span of the beam decreases.

For simple supported beam, cantilever, udl, uvl. if we calculate the deflection by using any method. you we get

deflection(d)= constant*(wL^{​​​​​4}/EI)

Where

W=load

L is length of beam

E is Young's modulus

I is moment of inertia

If w, E, I are considered as constant, because we are talking about length be or span of the beam. Then from the above term it clearly shows that deflection is directly proportional to length^​4

So, finally we can conclude that deflection decreases as length decreases.

if span reduced by 10% , then deflection reduces by 40%.

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