2D frame & truss analysis

Plane frames and trusses by the direct stiffness method: displacements, support reactions, member end forces and N, V, M diagrams — with hinges, inclined members and member loads.

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INPUTUNITS: kN · m · X right, Y up

Start from Material

1 · Nodes x, y in m

2 · Members

3 · Loads + along X, Y · M counter-clockwise

Results update as you type. Member loads in "global" act along Y per metre of member; "local" acts perpendicular to the member.

|M|MAX · MEMBER 228.39 kN·m

|N|MAX · MEMBER 333.00 kN

MAX u_x · NODE 24.50 mm

MAX u_y · NODE 2-0.10 mm

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HOW IT'S CALCULATED · WITH YOUR NUMBERS

Step by step, with your numbers

01
Equilibrium████ ██ ███████ · ██████ = ██.██
02
Reactions████ ██ ███████ · ██████ = ██.██
03
Shear force████ ██ ███████ · ██████ = ██.██
04
Bending moment████ ██ ███████ · ██████ = ██.██
05
Deflection████ ██ ███████ · ██████ = ██.██
06
Stress████ ██ ███████ · ██████ = ██.██

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Reference: direct stiffness method (e.g. McGuire, Gallagher & Ziemian, Matrix Structural Analysis); checked against closed-form beam, portal and truss solutions.

BEYOND LINEAR 2D

3D frames, P-Δ, buckling, dynamics and connections — we run the full structural model.

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