Engineering Solving McCauley's Beam Problem: Expert Tips for Success

AI Thread Summary
The discussion focuses on resolving McCauley's beam problem, specifically the need for correct equations for deflection and displacement. The original solution presented has been deemed incorrect due to missing elements in the calculations, such as the length of the distributed load and necessary products in the equations. A suggested correction for the bending moment equation is provided as M_{x-x}=1032.5-215x. The user expresses confusion regarding the definitions of ymax, total deflection, and maximum displacement. Clarification on these concepts and accurate equations is essential for solving the problem effectively.
ShaunG123
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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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