The Mechanical
Engineering Handbook




Deflection of a Shaft Under Load Calculator







 

 

 

 

 


How This Is Calculated



$$ \delta = \frac{F \cdot L^3}{48 \cdot E \cdot I} $$ where:

δ   =   Deflection   (m)

F   =   Force applied at the center   (N)

L   =   Length of the shaft   (m)

E   =   Modulus of elasticity   (Pa)

I   =   Moment of inertia   (m4)


Assumptions



  • The shaft experinces small deflections relative to its length.
  • The material behaves elastically.
  • The load is applied at the center of the shaft.
  • The shaft remains stable under loading (buckling is not considered).


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