Solid Round Beams Deflection Calculation  

Where,
MI = Moment of Inertia
E = Modulas of Elasticity in psi
Example:
Length (Inches) = 15
Diameter (Inches) = 5
Force (Pounds) = 20
Material = Steel
Solution:
Apply Formula:
MI for Solid Round = (PI * Diameter^{4}) / 64
Deflection = (Length^{3} * Force) / (3 * E * MI)
Bending Stress = (Force * Length) / (MI / (0.5 * Height))
Deflection = 0.0000244461 (Inches)
Bending Stress = 24.446199258915122 (PSI)