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# Beam Deflection Calculator

Select beam type, load type, and enter the necessary entities. The tool will readily let you know how much deflection is there in the beam.

Beam TypeBeam Type:

Span Length, L:

Modulus of Elasticity, E:

Moment of Inertia, Ix:

Distance :

Deflection At:

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Make use of our beam deflection calculator to find maximum deflection of the beam (simple-supported or cantilever) after a certain load is carried on it. Calculates the effect of beam bending depending upon the magnitude and location of the object placed on it.

## How To Calculate Beam Deflection?

Following beam deflection formulas will help you out in determining the respective beam deflections for certain loads it carries:

### Simply-Supported Beam:

$$𝛿_{max}=\dfrac{PL^{3}}{48EI}$$

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

$$𝛿_{max}=\dfrac{5wL^{4}}{384EI}$$

$$𝛿_{max}=\dfrac{0.00652wL^{4}}{EI}$$

$$𝛿_{max}=\dfrac{wL^{4}}{120EI}$$

#### Moment Load at Some Support:

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

### Cantilever Beam:

For these specific types of beam, our steel i beam deflection calculator different equations that are as follows:

$$𝛿_{max}=\dfrac{PL^{3}}{3EI}$$

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

##### Uniformly Varying Load (Case 1):

$$𝛿_{max}=\dfrac{wL^{4}}{30EI}$$

##### Uniformly Varying Load (Case 2):

$$𝛿_{max}=\dfrac{11wL^{4}}{120EI}$$

\(𝛿_{max}=\dfrac{ML^{2}}{2EI})

### How Does Beam Deflection Calculator Work?

The process is quite simple only if you go by the following operating guide to use this beam bend calculator!

Input:

• Select the “Beam Type” and “Load Type”
• Now enter the required parameters with their corresponding units selected
• Hit the calculate button

Output:

• Stiffness and deflection of beam

## References:

From the source of Wikipedia: Deflection (engineering), Beam deflection for various loads and supports, Units
From the source of Lumen Learning: Stress, Strain, and Elastic Modulus, Tensile or Compressive Stress, Bulk Stress