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.

 

[rezeew]

I would recommend using the appropriate equations and methods to accurately determine the pure bending moment for this simply supported beam. This can be done by using the equations for shear force and bending moment, as well as considering the loading conditions (UDL and point load) and the beam's properties (length, width, and depth). It is important to carefully follow the steps and double check the calculations to ensure accuracy.

In this specific scenario, the calculated value of 22,147 N may be a good estimate for the pure bending moment, but it is always best to use the proper equations and methods to confirm the value. Additionally, it is important to consider any assumptions or simplifications made in the calculations and their potential impact on the accuracy of the result.

Overall, as a scientist, it is important to approach this problem with a thorough and analytical mindset, using the appropriate tools and techniques to determine the pure bending moment of the beam.