Beam Deflection Calculator

The beam deflection calculator determines the maximum beam deflection of a simply supported or cantilever beam. Various load types are available in the calculator and the magnitudes and location can be set.

Use our moment of inertia calculator to find the value needed in this beam deflection calculator.

Simply Supported Beam Maximum Deflection Formulas

Beam Constraints and Load Cases	Maximum Beam Deflection Formula
	\delta_{max} = \frac {PL^3} {48EI}
	\delta_{max} = \frac {Pb(3L^2-4b^2)} {48EI}
	\delta_{max} = \frac {5wL^4} {384EI}
	\delta_{max} = \frac {0.00652wL^4} {EI}
	\delta_{max} = \frac {wL^4} {120EI}
	\delta_{max} = \frac {ML^2} {9 \sqrt 3EI}

Cantilever Beam Maximum Deflection Formulas

Beam Constraints and Load Cases	Maximum Beam Deflection Formula
	\delta_{max} = \frac {PL^3} {3EI}
	\delta_{max} = \frac {Pa^2(3L-a)} {6EI}
	\delta_{max} = \frac {wL^4} {8EI}
	\delta_{max} = \frac {wL^4} {30EI}
	\delta_{max} = \frac {11wL^4} {120EI}
	\delta_{max} = \frac {ML^2} {2EI}

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