Bending stress + bending moment

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Homework Statement



A steel strip of breadth 50 mm and depth 3 mm needs to be bent around a drum of diameter 4 m. What bending moment is required and what will be the maximum stress produced? The modulus of elasticity of the steel is 210 GPa

Homework Equations



[tex]
\frac{M}{I} = \frac{\sigma _b}{y} = \frac{E}{R}
[/tex]

The Attempt at a Solution



I'm able to find the bending moment by finding the second moment of area...

1.05 x1011 x 1.125 x10-10 = 11.8 Nm

however i'm stuck on how to then go on and find the maximum stress
 

Answers and Replies

  • #2
PhanthomJay
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Homework Statement



A steel strip of breadth 50 mm and depth 3 mm needs to be bent around a drum of diameter 4 m. What bending moment is required and what will be the maximum stress produced? The modulus of elasticity of the steel is 210 GPa

Homework Equations



[tex]
\frac{M}{I} = \frac{\sigma _b}{y} = \frac{E}{R}
[/tex]

The Attempt at a Solution



I'm able to find the bending moment by finding the second moment of area...

1.05 x1011 x 1.125 x10-10 = 11.8 Nm

however i'm stuck on how to then go on and find the maximum stress
You have already noted the formula that bending stress = My/I.......you just need to identify the value for 'y' where the bending stress is at its maximum.
 

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