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Cantilever Beam Slope - Elastic Deflection

In easy to understand language deflection is degree to which a structural element displaced under load and cantilever is a beam anchored at one end. Use this online engineering calculator and make things easy for yourself.

Beam Slope

To calculate Cantilever Beam Slope:

  • Externally applied load(P)

    lbs

  • Elastic Modulus(E)

    psi

  • Area moment of inertia(Iz)

    inches

  • Length of the beam(L)

    inches

  • Load position(x)

  • Distance of load from one end of the support(a)

    inches

  •  

     

Results:

  • Slope at free end:

  • Deflection(y) in inches:

Formula:

Slope at free end = Pa2 / 2EI

Deflection at any section = Px2(3a-x) / 6EI(for x less than a)


Deflection at any section = Pa2(3x-a) / 6EI(for a less than x)



Where,


P is the externally applied load


E is the Elastic Modulus


I is the Area moment of Inertia


Lis the Length of the beam and


x is the position of the load


a is the distance of load from one end of the support




In easy to understand language deflection is degree to which a structural element displaced under load and cantilever is a beam anchored at one end. Use this online engineering calculator and make things easy for yourself.