Case 1 -- Deflection (source: Machinery's Handbook)
Shaft supported at each end and load distributed uniformly between supports
(5/384) * ((W*L(power 3))/(E*I))
 
                     
Total Load (W) = Lbs.   Max deflection = ( solid shaft)
Length Between Supports (L) = inches    
Shaft Diameter (D) = inches   Max Deflection = (hollow Shaft)
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) Steel Shaft Weight Lbs. (hollow)    
Moment of Inertia (I) (for hollow shaft)    
        AL Shaft Weight Lbs. (solid)    
          AL Shaft Weight Lbs. (hollow)    
                     
                     
                     
  5/348 =                
W* L(power 3) =      
  E * I = (solid shaft)    
  E * I = (hollow shaft)    
   

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