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Beam Deflection Calculator

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The way to Calculate Beam Deflection?

Following beam deflection formulation will help you out in determining the respective beam deflections for certain masses it contains

Simply-Supported Beam:

Midspan Load:

\(𝛿_{max}=\dfrac{PL^{3}}{48EI}\)

Load at Any point:

\(𝛿_{max}=\dfrac{Pb\left(3L^{2}-4b^{2}\right)}{48EI}\)

Uniform Load:

\(𝛿_{max}=\dfrac{5wL^{4}}{384EI}\)

Uniformly varying Load:

\(𝛿_{max}=\dfrac{0.00652wL^{4}}{EI}\)

Triangular Load:

\(𝛿_{max}=\dfrac{wL^{4}}{120EI}\)

Moment Load at some help:

\(𝛿_{max}=\dfrac{ML^{2}}{9\sqrt{3}EI}\)

Cantilever Beam:

For those specific types of beam, our metallic i beam deflection calculator exclusive equations which can be as follows:

Give up Load:

\(𝛿_{max}=\dfrac{PL^{3}}{3EI}\)

Load at Any factor:

\(𝛿_{max}=\dfrac{Pa^{2}\left(3L-a\right)}{6EI}\)

Uniform Load:

Uniformly varying Load (Case 1):

\(𝛿_{max}=\dfrac{wL^{4}}{30EI}\)

Uniformly varying Load (Case 2):

\(𝛿_{max}=\dfrac{11wL^{4}}{120EI}\)

Moment Load at quit:

\(𝛿_{max}=\dfrac{ML^{2}}{2EI}\)

The way to Use This Beam Deflection Calculator?

To apply this beam deflection calculator, comply with the underneath-stated steps:

  • choose the “Beam type” and “Load type.”
  • input the duration of the span and the point load.
  • enter the modulus of elasticity and moment of inertia.
  • Hit the “calculate” button.