Beam problem finding max bending stress

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SUMMARY

The discussion centers on calculating the maximum bending stress in a beam with a specified diameter of 2.5 inches. The user has already determined the reactions, R1 at 50 and R2 at 650, but seeks clarification on how the beam's diameter influences the bending moment diagrams and the calculation of maximum stress. The diameter affects the moment of inertia, which is crucial for determining bending stress at the point of maximum moment. Understanding these relationships is essential for accurate stress calculations in structural engineering.

PREREQUISITES
  • Understanding of beam mechanics and bending stress calculations
  • Familiarity with moment of inertia and its role in bending stress
  • Knowledge of how to draw bending moment diagrams
  • Basic principles of static equilibrium in structural analysis
NEXT STEPS
  • Study the relationship between diameter and moment of inertia in beam calculations
  • Learn how to derive bending stress formulas using the diameter of beams
  • Research methods for drawing accurate bending moment diagrams
  • Explore advanced topics in structural analysis, such as shear stress and deflection
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion.

Resa
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Alright so I drew it out like did the reactions and everything then I realized I need to include the diameter of the beam. How do I find the max bending stress while using the diameter of the beam? All I need to know is what exactly I do differently compared to drawing the bending moment diagrams with that 2 and 1/2 inch diameter.
 

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Without including I got R1 to be 50 and R2 to be 650..
 
Reactions look good. The diameter comes into play when calculating max stress at point of max moment. Why would the moments be different if the shaft was of a different diameter? Do you know how to calculate bending stresses?
 

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