Stress/strain+general bending equation

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Homework Help Overview

The problem involves determining the maximum thickness of a steel strip that can be bent around a drum without exceeding a specified stress limit. The context includes the application of the general bending equation and considerations related to the material properties of steel.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster considers using the general bending equation and the second moment of area for a cylinder. Some participants confirm this approach, while others express uncertainty about the significance of specific calculations and the relationships between variables.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the equations involved. Some guidance has been offered regarding the appropriateness of the general bending equation, but there is no explicit consensus on the next steps or the meanings of certain calculations.

Contextual Notes

Participants are navigating the complexities of the problem, including the definitions and relationships between stress, moment, and curvature, while also addressing the limits imposed by the homework context.

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Stress/strain+general bending equation...

Homework Statement



A steel strip is to be bent around a drum of radius 1m. What is the maximum thickness of strip that can be bent in this way if the stress in the strip is not to exceed 100 MPa.

The steel has a modulus of elasticity of 210 GPa.

Am i correct in thinking i should be using the general bending equation here?

as well as the second moment of area for a cylinder?

pi x d^4/64

any help would be great, cheers.


Homework Equations





The Attempt at a Solution



I'm stuck on where to begin, a nod in the direction would be really helpful thanks.
 
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I think that would be correct to do.
 


1 x 106 / 2.1 x 1011 = 4.76 x 10-4 ...?
 


ar202 said:
1 x 106 / 2.1 x 1011 = 4.76 x 10-4 ...?

I am not sure what those numbers are supposed to mean.

\frac{M}{I} = \frac{\sigma _b}{y} = \frac{E}{R}

Which equality did you use?
 

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