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Cylindrical shell — axial buckling

BucklingIn development

Classical axial buckling stress of a thin cylinder

Source:
Timoshenko & Gere / NASA SP-8007
Tolerance:
5%

Problem statement

Geometry
Thin circular cylindrical shell, radius R, wall thickness t.
Material
Linear-elastic isotropic material, E and ν = 0.3.
Boundary conditions
Uniform axial compression.
Measured quantity
Classical σcr = E/√(3(1−ν²))·(t/R) ≈ 0.605·E·t/R; real shells knock down via the imperfection factor (SP-8007).

Script

Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.

Results comparison

The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.

Updated: not yet run

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