A B F l x y R1 M1
Loaded Beam - Cantilever Free End [see Budynas p. 1013 and Machinery's Handbook 29th Ed. p. 261]:


\Delta_{b} = \frac{Fl^{3}}{3EI} \sigma_{a} = \frac{Fly}{I} fos = \frac{\sigma_{yield}}{\sigma_{a}} 

R_{1} = F

Length (l): Inches
Force (F): Pounds
Material Properties: Table 1
Material Name Elastic Modulus (E) Yield Strength (\sigma_{yield})
ksi ksi
Beam Cross-Section Properties: (see also Table 3)
Beam Designation Area M. Inertia (I) Distance y, c or d
Inch4 Inch
Max. Deflection at B: Bending Stress at A: Shear Force (R1):
Inch Psi Pounds
Factor of Safety:

Copyright © 2014 Estiven R. Sierra