Worked example

Inputs

Span: 4 m
Central point load: 1000 N
Uniform line load: 500 N/m
Young modulus: 200000000000 Pa
Second moment: 1e-05 m⁴

Expected results

Each support reaction: 1500 N
Midspan bending moment: 2000 N·m
Midspan deflection: 0.0015 m

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

Enter every input in the labeled units; use measured or independently specified properties.
Check the stated model assumptions before calculating.
Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "length": 4,
  "point": 1000,
  "uniform": 500,
  "e": 200000000000,
  "i": 0.00001
}

Accuracy and scope

Small-deflection Euler–Bernoulli beam; downward loads, ideal pin/roller supports, constant EI. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

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Simply Supported Beam Load Combination