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Select the beam type, load type, and enter the necessary values. The tool will instantly calculate the beam deflection for you.
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Use our beam deflection calculator to determine the maximum bending or deflection of a beam, whether it is simply-supported or cantilevered. The calculator considers the load magnitude, its location, and beam properties such as elasticity and moment of inertia.
The maximum deflection of a beam depends on its support type and the nature of the applied load. Below are commonly used formulas:
\( \delta_{max} = \dfrac{PL^3}{48EI} \)
\( \delta_{max} = \dfrac{Pb(3L^2 - 4b^2)}{48EI} \)
\( \delta_{max} = \dfrac{5wL^4}{384EI} \)
\( \delta_{max} = \dfrac{0.00652 w L^4}{EI} \)
\( \delta_{max} = \dfrac{w L^4}{120EI} \)
\( \delta_{max} = \dfrac{M L^2}{9 \sqrt{3} EI} \)
\( \delta_{max} = \dfrac{P L^3}{3 EI} \)
\( \delta_{max} = \dfrac{P a^2 (3L - a)}{6 EI} \)
\( \delta_{max} = \dfrac{w L^4}{30 EI} \)
Case 1: \( \delta_{max} = \dfrac{w L^4}{30 EI} \)
Case 2: \( \delta_{max} = \dfrac{11 w L^4}{120 EI} \)
\( \delta_{max} = \dfrac{M L^2}{2 EI} \)
From Wikipedia: Deflection (Engineering) – Beam deflection under various loading and support conditions. From Lumen Learning: Stress, Strain, and Elastic Modulus – Tensile and compressive stress concepts.
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Beam Deflection Calculator
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