When to use MC/I and when to use MC/It?

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SUMMARY

The discussion clarifies the application of the formulas Mc/I and Mc/It in the context of Strength of Materials. Specifically, 'c' represents the distance from the edge of the beam to the centroid, while 't' denotes the distance from the centroid to the point of interest in the cross-section. In scenarios involving maximum tension or compression stress, 't' equals 'c', simplifying the calculation. For other cases, the ratio of 't' to 'c' is essential for accurate stress analysis.

PREREQUISITES
  • Understanding of Strength of Materials principles
  • Familiarity with beam cross-section analysis
  • Knowledge of stress and strain concepts
  • Basic grasp of centroid calculations
NEXT STEPS
  • Study the derivation and application of the bending stress formula Mc/I
  • Explore examples of maximum tension and compression stress in beams
  • Learn about calculating centroids for various beam shapes
  • Investigate the implications of varying 't' in stress analysis
USEFUL FOR

Students in Strength of Materials courses, civil and mechanical engineering students, and professionals involved in structural analysis and design.

Sheogoroth
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I'm in a Strength of Materials course and I'm confused about when to use Mc/I and when to leave off the t, and what exactly the t and the c are. I thought that t was the distance to the centroid and that c was the distance to the line of action, but I'm running through practice problems and I think it's wrong.
 
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c is the distance from the edge to the centroid of the beam, yes. t is the particular point you want to look at in the cross section of the beam. In max tension or compression stress, t=c. Otherwise it becomes a ratio.
 

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