For a Cantilever Beam Maximum Deflection Will Develop at

By Mohit Uniyal|Updated : July 19th, 2022

For a cantilever beam, the maximum deflection will develop at

A. Free end 
B. Point of loading 
C. Throughout the beam 
D. Fixed end 

Choose the correct option and justify your choice.

Answer: (A) - Free end 

For a cantilever beam, the maximum deflection will develop at a free end.

Solution:

The deflection of a cantilever beam is given by the equation

D = WL3/3 EI

  • So, the deflection of the beam is directly proportional to the cube of the distance between the fixed point to the analysis point.
  • The maximum distance is at the tip from the fixed support
  • Therefore in the case of a cantilever beam, the maximum deflection will be developed at a free end 

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