Beam problem finding max bending stress

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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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  • Diagram of a horizontal beam with a 2 1/2 inch diameter shaft section labeled, point loads of 1000 lb and 100 lb, and dimension labels of 20 inches, 400 lb, 30 inches, 30 inches, 1/2 and 20 inches along its length.
    beam prob.png
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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?