Finding Pure Bending Moment for Simply Supported Beam

[andrewh21]

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?

 

[rock.freak667]

Your reactions are correct. Your bending moment would be the sum of the maximum moments for the UDL and point load.

 

[andrewh21]

Thanks what is the formula for this?

 

[rock.freak667]

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.