What Is the Maximum Bending Moment in a Loaded Beam?

AI Thread Summary
The discussion focuses on calculating the maximum bending moment in a simply supported beam under a uniformly distributed load and concentrated point loads. The beam dimensions and loads are specified, with a total length of 8 m and specific loads applied at points B and D. The maximum bending moment is determined to be 275.10 kNm, located 3.42 m from support A. The approach involves creating shear and moment diagrams to accurately account for the loads. Proper analysis of discontinuous point loads is emphasized as crucial for solving the problem.
warrio1010
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Homework Statement


A beam ABCD simply supported at A and C. AB= 2 m, BC= 6 m, AC=8m and CD= 2 m. It carries a uniformly distributed load of 30 kN/m between A and C and concentrated loads of 50 kN and 20 kN at B and D respectively.

I want to find the maximum bending moment and its distance from the origin.


Homework Equations


I have tried M=(wx/2)*(L-x) but don't think this is right.


The Attempt at a Solution


The answer is 275.10 kNm, 3.42 m from support A.

Thanks
 
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Well these problems are usually attacked by starting with Shear Diagrams, then moment diagrams, also known as shear and moment diagrams.

Of course do not forget to account for discontinuous point loads.
 
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