Case 10 -- Deflection (Machinery's Handbook)  
Cantilevered, uniform load along length of shaft  
(W * L(power 3)) / (8 * E * I) = deflection at free end of shaft  
 
                 
Total Load (W) = Lbs.   Max deflection at free end = ( solid shaft)  
Length of shaft (L) = inches   (hollow shaft)  
Shaft Diameter (D) = inches    
I.D. of Hollow Shaft (d) = inches (optional)      
           
                 
                 
                 
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 3) =    
  8 * E * I = (for solid shaft)  
  8 * E * I = (for hollow shaft)