Bending moment diagram for overhanging beam

AI Thread Summary
To construct a bending moment diagram for an overhanging beam, start by drawing the free-body diagram and identifying all forces acting on the beam. If the upward forces are equal, treat them as a uniformly distributed load (UDL); if they vary, consider them as a varying distributed load (UVL). For a semi-elliptical load distribution, approximating the load as point loads can simplify calculations. The bending moment can be calculated using the formula F1 * d + F2 * 2d, where F represents the forces and d the distances from the point of interest. Understanding these concepts is crucial for accurately analyzing the bending moments in structural engineering applications.
David Lewis
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I've drawn the free-body diagram of an airplane wing spar. I know the magnitude and location of all forces. What is the procedure to construct the bending moment diagram?
 

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If those upward force components F1...Fn are equal in magnitude,then you can simplify it as UDL. If they are different and varying gradually you can consider it as UVL and solve the problem.
 
Thanks for your reply. The spar sees a distributed load -- the load diagram is a semi-ellipse. I approximated the distributed load as point loads. I'd like to know the formula to calculate the bending moment, e.g. F1 * d + F2 * 2d...
 
David Lewis said:
Thanks for your reply. The spar sees a distributed load -- the load diagram is a semi-ellipse. I approximated the distributed load as point loads. I'd like to know the formula to calculate the bending moment, e.g. F1 * d + F2 * 2d...

You can refer this as a reference.
 

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