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Beam Bending & Deflection

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Size a simply supported beam from first principles and inspect how the load case changes reactions, shear, bending moment, and midspan deflection.

GPa
m4
m
N

Beam Response

The load diagram shows how the beam is supported and loaded; the charts below show the resulting internal shear, bending moment, and deflected shape along the span.

Simply supported beam with symmetric loading

L = 2.00 m

P = 1.00 kNpinrollerdeflected shape, scaled

Shear, moment, and deflection along the span

Peaks are marked directly on each curve.

Shear force

peak 0.500 kN

Bending moment

peak 0.500 kN m

Downward deflection

peak 0.833 mm

Left reaction

0.500 kN

Right reaction

0.500 kN

EI

200.0 kN m2

Span

2.00 m

Maximum deflection

0.833 mm

0.000833 m

Peak moment

0.500 kN m

Peak shear

0.500 kN

Open Source and Easy to Use Elsewhere

This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.

Open source: review the implementation and see how the results are produced.

Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.