Calculate shear force and bending moments with a UDL and a point load

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SUMMARY

This discussion focuses on calculating shear forces and bending moments for beams subjected to a uniformly distributed load (UDL) and a point load. The participants confirm that for a point load at the center of the beam, half of the load is distributed to each reaction. They emphasize the importance of referencing tables for bending moments, similar to the approach used for UDLs, and combining the results from both loading conditions to derive total shear and moment values.

PREREQUISITES
  • Understanding of shear force and bending moment diagrams
  • Familiarity with uniformly distributed loads (UDL)
  • Knowledge of point load calculations
  • Ability to reference bending moment tables
NEXT STEPS
  • Study the calculation methods for shear force and bending moment diagrams
  • Learn how to apply the superposition principle for combined loading scenarios
  • Explore the use of bending moment tables for various loading conditions
  • Investigate software tools for structural analysis, such as SAP2000 or STAAD.Pro
USEFUL FOR

Civil engineers, structural analysts, and students studying mechanics of materials will benefit from this discussion, particularly those focused on beam analysis under various loading conditions.

Ben_Walker1978
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Homework Statement
Bending Moments, Shear Force
Relevant Equations
Bending Moments, Shear Force
Hello,

I am looking for some help. I have completed the question below. I will show my answers.

Encastre Question.png

My answer:
Encastre Answer - 1.png

Encastre Answer - 2.png
Encastre Answer - 3.png


I believe this to be correct. If it is not would appreciate someone letting me know so i can correct.

Now i am attempting this question:

Encastre Question - 2.png


Could anyone help, or point me in the right direction so i can them calculate the point load?

I understand how it would look on the Shear force diagram. But not sure how to show the calculations, or calculate the bending diagram.

Any help much appreciated.
 
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I am not sure I understand your concern. The shear and bending moment diagrams for the UDL case look good. For a point load at the center of the beam, 1/2 of the point load goes to each reaction . For the bending moments at the ends and center, you look them up in a table like you did for the UDL case. Then add 'em up for the total combined shear and moment (UDL plus Point Load).
 
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Yes that is what i wanted to know.

Thank you for your help.
 

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