Finding Pure Bending Moment for Simply Supported Beam

AI Thread Summary
To find the pure bending moment for a simply supported beam, the maximum moments from both the uniformly distributed load (UDL) and the point load must be calculated. The reactions at the beam's ends have been correctly determined to be 29,530N. The proposed calculation for the bending moment at the center is 22,147N, which is derived from the reaction force. Standard formulas for calculating bending moments in simply supported beams can be found through a quick online search. Accurate application of these formulas will yield the correct pure bending moment.
andrewh21
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i am trying to find the pure bending moment of this beam

1. Homework Statement
simply supported solid beam 3m long W=100mm D=200mm with a UDL of 2tonnes/m and a point load in the centre of 200N

Homework Equations


is the pure bending moment at the peak of the bending moment diagram
i have calculated the reactions at the ends to be
29,530N
so 29,430*1.5/2=22,147 would this be the correct pure bending moment?
 
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Your reactions are correct. Your bending moment would be the sum of the maximum moments for the UDL and point load.
 
Thanks what is the formula for this?
 
I don't remember them off hand but they are readily available if you Google them. They're standard formulas based on the simple supports.
 
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