How to Calculate the Maximum Bending Moment of a Simply Supported Beam with UDL?

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SUMMARY

The maximum bending moment for a simply supported beam subjected to a uniformly distributed load (UDL) of 40 kN/m occurs at the midpoint of the beam, specifically 3.5 m from the left end. The calculation method involves converting the UDL into an equivalent point load and applying the bending moment formula. The correct approach includes constructing a shear diagram to visualize the forces acting on the beam. The final value of the maximum bending moment should be expressed in kNm with one decimal place.

PREREQUISITES
  • Understanding of simply supported beam mechanics
  • Knowledge of uniformly distributed loads (UDL)
  • Familiarity with bending moment calculations
  • Ability to construct shear and moment diagrams
NEXT STEPS
  • Study the principles of shear and moment diagrams for beams
  • Learn how to convert uniformly distributed loads into equivalent point loads
  • Explore the calculation of bending moments in structural engineering
  • Review examples of maximum bending moment calculations for various loading conditions
USEFUL FOR

Civil engineers, structural engineers, and students studying mechanics of materials will benefit from this discussion, particularly those focusing on beam analysis and design.

Dustybin
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A simply supported beam is loaded with a uniformly distributed load (UDL) W=40 kN/m from C to D. The maximum Bending Moment value occurs at the mid-length of the beam, i.e. 3.5 m from the left hand end A. What is the value of the maximum bending moment? Give your answer in kNm, with 1 decimal place.
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Welcome to PF!

Hi Dustybin! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 


Yep. Thanks. I have tried to calculate the it using +(p*d)-(ws)(GX). For this question, i used, (120*3.5)-(40*3)(1.5). Did i did anything wrong?
 
Did you construct a shear diagram for your problem first?
 
Turn the UDL into a point-load.
 

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