# The Deflection of any Rectangular Beam Simply Supported is

By BYJU'S Exam Prep

Updated on: September 25th, 2023

### The deflection of any rectangular beam simply supported, is

a. Inversely proportional to its weight
b. Directly proportional to its width
c. Inversely proportional to the cube of its depth
d. Inversely proportional to the cube of its length

Answer- C. Inversely proportional to the cube of its depth

## The deflection of any rectangular beam simply supported, is inversely proportional to the cube of its depth

Solution

In the case of a simply supported beam having UDL of intensity w

δmax = 5wl4/(384EI)

In the case of a simply supported beam having a total load of P.

δmax = Pl3/(48EI)

And,

bd3/12

So, deflection of the simply supported beam varies

• Directly proportional to its weight
• Inversely proportional to its width
• Inversely proportional to the cube of its depth
• Directly proportional to the cube of its length
• Inversely proportional to its modulus of elasticity.

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