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a metal beam supported at the two endsis loaded at the centre if Y is the youngs miodulus then the dipression at the centre is propational to ​A) 1/Y B)Y C)I/ Y 2 D) Y 2

a metal beam supported at the two endsis loaded at the centre  if Y is the youngs miodulus then the dipression at the centre  is propational to 
​A) 1/Y   B)Y    C)I/Y2    D) Y2

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Depression in the beam is given by 
δ = WL³/4Ybd³ 
Where W is weight , L is length , b is breadth, Y is Young's modulus and d is depth also δ is depression in the beam.
Here it is clear that , 
Depression in the beam is inversely proportional to Young's modulus.
e.g., δ is proportional to 1/Y 
Hence option (A) is correct.
 

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