Thanh Tu Do

Beam Calculator

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Shear force, bending moment, and deflection diagrams for common beam configurations. Calculations run entirely in your browser.

Configuration

The entered total force is distributed uniformly over the span (w = Q / L).

Steel ≈ 200 · Concrete ≈ 30 · Timber ≈ 12

UB 305×127×48 ≈ 9575 · UB 203×133×25 ≈ 2340

Max moment

22.5 kNm

at x = 3.00 m

Max shear

15.0 kN

at x = 0.00 m

Max deflection

5.27 mm

at x = 3.00 m

Diagrams

Shear force (kN) -15.00 … 15.00 sign retained
Shear force diagram, kN. Ranges from -15.00 to 15.00 kN across the span; sign retained.
Bending moment (kNm) 0.00 … 22.50 sagging +, hogging −
Bending moment diagram, kNm. Ranges from 0.00 to 22.50 kNm across the span; sagging +, hogging −.
Deflection (mm) 0.00 … 5.27 downward +
Deflection diagram, mm. Ranges from 0.00 to 5.27 mm across the span; downward +.

Euler–Bernoulli beam theory. Assumes linear-elastic, homogeneous, prismatic member. For non-prismatic or composite sections, use a full FEM solution.