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See how a beam bends

Inspect a shaded beam under load. Change thickness, length and Young’s modulus to explore deflection.

Diagram and inputs ↓
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Start with a reference or example

Get a sense of the value, then inspect the diagram or motion.

Reference / exampleValueWhat it meansUse
10 mm thickness10 mmMaximum deflection: 8.333 mm
20 mm thickness20 mmMaximum deflection: 1.042 mm
30 mm thickness30 mmMaximum deflection: 0.3086 mm

Cantilever examples: 100 N tip load, 500 mm length, 30 mm width, E=200,000 N/mm². Not strength or load-capacity ratings.

Applies to condition A. Then press Play or Reveal.

Conditions

Young’s modulus is an input example, distinct from hardness and allowable strength. Self-weight is excluded.

Visual preview

Ready

2D · beam side view

0.00 sReveal animation

Dashed line: unloaded beam. Only deflection is magnified. Load reveal is illustrative, not a vibration or loading-rate simulation.

How to read this view

What changes bending?

At fixed load, doubling thickness divides deflection by eight; doubling length multiplies it by eight. E describes elastic stiffness, not Shore or HV hardness.

Model and limits

Prismatic, linear-elastic small-deflection beam: I=bh³/12. Cantilever tip load: δ=PL³/(3EI); simply supported center load: δ=PL³/(48EI). This illustration is limited to L/h≥10 and δ/L≤0.05; these limits do not assess strength or safety.

Sources and references