Cantilever Beam Slope and Deflection - Load at Free End

• Externally applied load(P)

  lbs

• Elastic Modulus(E)

  psi

• Area moment of inertia(I_z)

  inches

• Length of the beam(L)

  inches

• Load position(x)

•  

   

• Slope at free end:

  

• Deflection(y) in inches:

  

Formula:

Slope at free end = PL² / 2EI

Deflection at any section = Px²(3L-x) / 6EI

Where,

P is the externally applied load

E is the Elastic Modulus

I is the Area moment of Inertia

L is the Length of the beam and

x is the position of the load


Calculating deflection load at free end is a tedious calculation to make and this online civil engineering calculator is great tool for engineers.