Calculating the magnitude and sense of a couple moment

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SUMMARY

The discussion focuses on calculating the magnitude and sense of a couple moment in a mechanics problem. The participant attempted to solve the problem by creating moments at two separate points but arrived at an incorrect answer. The correct value for the couple moment is established as Mc = +18.3 kN·m. The participant seeks clarification on potential mathematical errors or missed steps in their approach.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with couple moments in mechanics
  • Basic proficiency in algebra and trigonometry
  • Knowledge of free body diagrams
NEXT STEPS
  • Review the concept of couple moments in mechanics
  • Study the method of sections for analyzing forces
  • Learn how to construct and interpret free body diagrams
  • Practice solving similar mechanics problems to reinforce understanding
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Students studying mechanics, engineering professionals, and anyone looking to improve their skills in calculating moments and analyzing static systems.

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Homework Statement


question is attached with thread

Homework Equations


The Attempt at a Solution


Is attached with thread. I tried solving by creating a moment at a point, which I did at 2 separate points points to give me the same answer, which I would expect, however it is not the answer I am looking for, the actual answer is Mc=+18.3kN.m. If I made a mathematical error, what have I done? If I missed a step, which step did I miss and if it is neither of these and I am supposed to take a different approach to the problem, how should I do this. Thanks in advanced for any assistance
 

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