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Beam Sketch & Solve

Drop supports + loads, see SFD, BMD, and deflection live. No login — share a link to your beam.

Beam

Span 6.0 m · EI = 100,000 kN·m²

10 kN/mL = 6.00 m

Deflection

max = 1.69 mm

Shear (V)

max = 30.00 kN

Moment (M)

max = 45.00 kN·m

Reactions & results

Support @ x (m)Vertical R (kN)Moment (kN·m, + anticlockwise)
0.0030.00—
6.0030.00—
Max δ
1.69 mm
Max V
30.00 kN
Max M
45.00 kN·m

Euler-Bernoulli stiffness solve. Reactions R = K·u − F at the supports (upward +); V and M by statics from the left end (sagging M +).

Edit beam

Supports
Point loads (kN ↓)
UDLs (kN/m ↓)

Typical: small steel beam ≈ 1×10⁵; RCC slab strip ≈ 5×10⁴.

Adds a full-span UDL. Steel ≈ mass(kg/m) × 9.81 ÷ 1000.

Educational disclaimer: this is a pedagogical Euler-Bernoulli solver intended for sketches and learning. For code-compliant production design, use the Section Design module which applies IS 456 / ACI 318 / EC2 partial safety factors and check formulas.