Cantilever Beam Slope - Calculating Uniformly Distributed Load

• 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 = ML / EI

Deflection at any section = Mx² / 2EI

Where

M is the couple moment at the free end

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

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