Beam problem finding max bending stress

AI Thread Summary
To find the maximum bending stress in a beam with a specified diameter, it is essential to incorporate the beam's diameter into the bending stress formula, which typically involves the moment of inertia. The diameter affects the moment of inertia, which in turn influences the calculated bending stress at the point of maximum moment. The bending moment diagrams remain the same, but the stress calculations will differ due to the beam's geometry. Understanding how to calculate bending stresses involves using the formula σ = M*c/I, where σ is the bending stress, M is the moment, c is the distance from the neutral axis to the outer fiber, and I is the moment of inertia. Therefore, the diameter is crucial for accurate stress calculations in beam analysis.
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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Yes, that is correct. Good job!
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