What Is the Maximum Bending Moment in a Loaded Beam?

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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.