Solving McCauley's Beam Problem: Expert Tips for Success

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SUMMARY

The discussion focuses on solving McCauley's Beam Problem, specifically addressing the need for correct expressions for deflection and displacement. The correct bending moment equation is identified as M_{x-x}=1032.5-215x, which incorporates the distributed load. Participants emphasize the importance of including all variables in calculations, such as the length of the distributed load and the products of the terms involved. The conversation highlights the necessity of understanding maximum deflection (ymax) and its relation to displacement.

PREREQUISITES
  • Understanding of McCauley's method for beam deflection
  • Familiarity with bending moment equations
  • Knowledge of distributed loads in structural analysis
  • Basic principles of mechanics of materials
NEXT STEPS
  • Study McCauley's method for calculating maximum deflection in beams
  • Learn how to derive bending moment equations for various loading conditions
  • Explore the relationship between deflection and displacement in beam theory
  • Review examples of distributed load calculations in structural engineering
USEFUL FOR

Engineering students, structural analysts, and professionals involved in beam design and analysis will benefit from this discussion, particularly those seeking to deepen their understanding of deflection and bending moment calculations.

ShaunG123
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Poster has been reminded to show their work on schoolwork problems
Homework Statement
Using McCauley's to solve a beam problem
Relevant Equations
Beam Calculations
Can you help me answer this question please?
1609296752922.png
 
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Here is the question along with my solution below however I have been told this is wrong and an equation for the defelction and displacement is needed and answers for this along with a bending moment to support.
upload beam.png

beam calc 1.png
beam calc 2 (2).png
beam calc 3 (2).png
 
It seems there are some errors in resolving Mx-x:
The length 5 of the distributed load is not shown (although included in calculation).
The products of 111.75x and -50x are missing.
The correct equation may be:
##M_{x-x}=1032.5-215x##
 
I am really struggling to understand this to be honest is ymax my total deflection if so what would be max displacement
 
This is my attempt however I need to know a value/equation for displacement and deflection.
beam calc 1.png
beam calc 2 (2).png
beam calc 3 (2).png
 

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