Solid Rectangular Beams Deflection Calculation  



Where,
MI = Moment of Inertia
E = Modulas of Elasticity in psi
Example:
Calculate the beam deflection of a solid rectangle.
Length (Inches) = 15
Width (Inches) = 10
Height (Inches) = 5
Force (Pounds) = 20
Material = Steel
Solution:
Apply Formula:
MI for solid rectangle = ((Height^{3}* Width) / 12)
Deflection = (Length^{3} * Force) / (3 * E * MI)
Bending Stress = (Force * Length) / (MI / (0.5 * Height))
Deflection = 0.0000072 (Inches)
Bending Stress = 7.19999999999999 (PSI)