Bending stress + bending moment

AI Thread Summary
To determine the bending moment required for a steel strip bending around a drum of 4 m diameter, the bending moment was calculated as 11.8 Nm using the second moment of area. The modulus of elasticity for the steel is 210 GPa. To find the maximum stress produced, the formula for bending stress (σ_b = My/I) needs to be applied, requiring the identification of the value for 'y' at maximum bending stress. The discussion emphasizes the importance of understanding the relationship between bending moment, stress, and material properties. Further calculations are needed to complete the analysis of maximum stress.
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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



<br /> \frac{M}{I} = \frac{\sigma _b}{y} = \frac{E}{R}<br />

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
 
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ar202 said:

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



<br /> \frac{M}{I} = \frac{\sigma _b}{y} = \frac{E}{R}<br />

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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