ADVERTISEMENT

Physics Calculators ▶ Beam Deflection Calculator

**Adblocker Detected**

We always struggled to serve you with the best online calculations, thus, there's a humble request to either disable the AD blocker or go with premium plans to use the AD-Free version for calculators.

Disable your Adblocker and refresh your web page 😊

ADVERTISEMENT

**Table of Content**

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.

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

\(𝛿_{max}=\dfrac{PL^{3}}{48EI}\)

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

\(𝛿_{max}=\dfrac{5wL^{4}}{384EI}\)

\(𝛿_{max}=\dfrac{0.00652wL^{4}}{EI}\)

\(𝛿_{max}=\dfrac{wL^{4}}{120EI}\)

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

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

\(𝛿_{max}=\dfrac{PL^{3}}{3EI}\)

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

\(𝛿_{max}=\dfrac{wL^{4}}{30EI}\)

\(𝛿_{max}=\dfrac{11wL^{4}}{120EI}\)

\(𝛿_{max}=\dfrac{ML^{2}}{2EI})

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

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