The calculation for the maximum bending moment is to be verified experimentally

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The maximum bending moment in a beam can be experimentally verified using a strain gauge positioned at the point of maximum bending. To derive the bending moment from strain measurements, one must understand the relationship between stress and strain, particularly at the outer fibers where maximum stress occurs. The maximum strain does not equal zero; instead, it occurs at the point of maximum stress. Additionally, geometric properties of the beam, beyond just its moment of inertia, are essential for accurate calculations. Understanding these principles is crucial for deriving the correct equation for bending moment from strain data.
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The calculation for the maximum bending moment is to be verified experimentally...

The calculation for the maximum bending moment is to be verified experimentally using a strain gauge bonded to the outer surface of the beam, at the point where the maximum bending moment occurs. Derive an equation which could be used to calculate the bending moment from the measured strain value. State the meaning of all symbols used in your equation.

Could anyone give me any hints on this question? It's the last question I'm stuck on.

Am i right in saying maximum bending moment occurs the strain equals 0?

Thanks for any help
 

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bensm0 said:
The calculation for the maximum bending moment is to be verified experimentally using a strain gauge bonded to the outer surface of the beam, at the point where the maximum bending moment occurs. Derive an equation which could be used to calculate the bending moment from the measured strain value. State the meaning of all symbols used in your equation.

Could anyone give me any hints on this question? It's the last question I'm stuck on.

Am i right in saying maximum bending moment occurs the strain equals 0?

Thanks for any help
No, max strain occurs at point of max stress, at the outer fibers of the point of max moment, where the strain gauge is placed.
What is the relationship between stress and strain, and what is the relationship between max bending stress and max moment? Note that you need to know the geometric properties of the beam, not just its I value.
 
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