Case 12 -- Deflection (Machinery's Handbook)
  Cantilevered, intermediate load
  ((W * L(power2)) / (6 * E * I)) * (2L + 3b) = deflection at free end of shaft
  (W * L(power 3)) / (3 * E * I) = deflection at load
                 
Total Load (W) = Lbs.   Max deflection at free end = ( solid shaft)
Distance from support to load (L) = inches   (hollow shaft)
Shaft Diameter (D) = inches    
I.D. of Hollow Shaft (d) = inches (optional) Max deflection at load = ( solid shaft)
Distance from free end to load (b) = inches     (hollow shaft)
                 
                 
                 
Modulus of Elasticity (E) (steel)   Steel Shaft Weight = Lbs. (solid)
Moment of Inertia (I) (for solid shaft)   Lbs. (hollow)
Moment of Inertia (I) (for hollow shaft)  
                 
  do not modify            
W * L(power 2) =    
W * L(power 3) =    
  2L + 3b =            
  3 * E * I = (for solid shaft)  
  3 * E * I = (for hollow shaft)  
  6 * E * I = (for solid shaft)  
  6 * E * I = (for hollow shaft)