Calculating Beam Moment: Equation for Couple Acting on Supported Beam

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The discussion centers on calculating the moment at any point on a beam supported at one end with a couple acting at the other end. The proposed equation M = Cx/L is questioned for its accuracy. A suggestion is made to draw a shear/moment diagram to better understand the relationship between shear and moment. It is noted that the moment can only vary if there is shear present on the beam. Understanding these concepts is crucial for accurately determining the moment along the beam.
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Homework Statement


Hi I have a beam that is supported at one end and at the other has a point moment (couple) acting on it at the end point. I was wondering the follwing equation is correct for the moment at any point on the beam.

M= Cx/L

Where M is the moment, C is the force of the couple, x is the location where the moment is wanted and L is the length of the beam?

Thanks
Dan
 
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Why would you think that?
 
Draw a shear/moment diagram. (hint, the moment can only vary if there is shear).
 

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