The Deflection of any Rectangular Beam Simply Supported is

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,   

I = 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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