Question

The length of the beam, L, has no effect on the deflection of a beam.

Answer 1

False

The length of the beam has large effect on the deflection of the beam.As the length of the beam increases ,deflection of the beam increases multifolds.e.g

For Simply supported beam carrying UDL, deflection is given by

S= 5w14 384EI

i.e $\delta \propto l^{4}$

Deflection is proportional to fourth power of length of beam

For cantilever beam carrying UDL,deflection is given by

SEI

i.e $\delta \propto l^{4}$

Deflection is proportional to fourth power of length of beam

Therefore as the length of beam increases deflection also increases