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Beam Deflection Calculator

Construction
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Calculates the maximum deflection of a beam under various load and support conditions. This calculator is useful for structural engineers and anyone needing to assess the bending behavior of beams.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Beam Length, Load (Uniformly Distributed), Moment of Inertia (I), Young's Modulus (E), and Support Type in the units shown.

Step 2

Read Beam Length (inches), Max Deflection (Cantilever, Point Load), Max Deflection (Cantilever, Uniform Load), Max Deflection (Simply Supported), and Maximum Deflection in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Simply Supported - Light Load

Beam Length: 10 feet; Load (Uniformly Distributed): 50 pounds/foot; Moment of Inertia (I): 200 inches^4; Young's Modulus (E): 29,000,000 psi; Support Type: Simply Supported

Beam Length (inches): 120 inches; Max Deflection (Cantilever, Point Load): 0 inches; Max Deflection (Cantilever, Uniform Load): 0 inches; Max Deflection (Simply Supported): 0.02327586207 inches; Maximum Deflection: 0.02327586207 inches

Simply Supported - Heavy Load

Beam Length: 10 feet; Load (Uniformly Distributed): 500 pounds/foot; Moment of Inertia (I): 200 inches^4; Young's Modulus (E): 29,000,000 psi; Support Type: Simply Supported

Beam Length (inches): 120 inches; Max Deflection (Cantilever, Point Load): 0 inches; Max Deflection (Cantilever, Uniform Load): 0 inches; Max Deflection (Simply Supported): 0.2327586207 inches; Maximum Deflection: 0.2327586207 inches

Cantilever - Uniform Load

Beam Length: 5 feet; Load (Uniformly Distributed): 100 pounds/foot; Moment of Inertia (I): 100 inches^4; Young's Modulus (E): 29,000,000 psi; Support Type: Cantilever (Uniform Load)

Beam Length (inches): 60 inches; Max Deflection (Cantilever, Point Load): 0 inches; Max Deflection (Cantilever, Uniform Load): 0.05586206897 inches; Max Deflection (Simply Supported): 0 inches; Maximum Deflection: 0.05586206897 inches

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