Finding Pure Bending Moment for Simply Supported Beam

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Discussion Overview

The discussion revolves around calculating the pure bending moment for a simply supported beam subjected to a uniformly distributed load (UDL) and a point load. The context is a homework problem involving structural analysis.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents a scenario involving a simply supported beam with specific dimensions and loads, seeking to find the pure bending moment.
  • The participant calculates the reactions at the beam's supports and proposes a value for the pure bending moment based on these reactions.
  • Another participant confirms the correctness of the reactions and suggests that the bending moment should be the sum of the maximum moments from both the UDL and the point load.
  • A further inquiry is made regarding the formula needed to calculate the bending moment.
  • A response indicates that the formulas are standard and can be found through online searches, without providing specific equations.

Areas of Agreement / Disagreement

There is agreement on the correctness of the calculated reactions, but the discussion on the specific formula for calculating the bending moment remains unresolved, with no consensus on the exact approach to take.

Contextual Notes

Participants do not provide specific formulas or detailed derivations, which may limit the clarity of the proposed methods for calculating the 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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