Bending stress + bending moment

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SUMMARY

The discussion focuses on calculating the bending moment and maximum stress for a steel strip with a breadth of 50 mm and a depth of 3 mm bent around a drum with a diameter of 4 m. The modulus of elasticity for the steel is specified as 210 GPa. The bending moment was calculated to be 11.8 Nm using the second moment of area. The maximum bending stress can be determined using the formula σ_b = My/I, where 'y' is the distance from the neutral axis to the outermost fiber.

PREREQUISITES
  • Understanding of bending moment and stress concepts
  • Familiarity with the modulus of elasticity in materials
  • Knowledge of the second moment of area calculation
  • Proficiency in applying bending stress formulas
NEXT STEPS
  • Calculate the maximum bending stress using the formula σ_b = My/I
  • Explore the second moment of area for different cross-sectional shapes
  • Study the effects of varying the modulus of elasticity on bending stress
  • Learn about material selection for bending applications in engineering
USEFUL FOR

Mechanical engineers, structural engineers, and students studying material mechanics will benefit from this discussion, particularly those involved in bending analysis and design of structural components.

ar202
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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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