Examples#
This gallery walks through every public feature of
engineeringkit.structural_engineering, one breakthrough per script:
axial and torsional members, beams, column buckling and design, stress and
strain at a point, shear and sections, pressure vessels, energy methods,
trusses, plastic collapse, frames, cables and arches.
Units, assumptions and numerical validation
gives the physical validity limits. Each script is self-contained and can be
run directly with python examples/structural_engineering/<section>/<script>.py.
Sections#
beams – Galileo’s cantilever, Navier’s bending theory, Clapeyron’s three-moment equation, Winkler’s influence lines and Macaulay’s singularity functions.
cables – Hooke’s inverted chain and the catenary.
members – Hooke’s law, Coulomb’s torsion, Poisson’s ratio and Bredt’s thin-walled tubes.
shear – Jourawski’s shear stress and Maillart’s shear centre.
stability – Euler’s column, Engesser’s tangent-modulus load, Young’s eccentric column and Johnson’s parabola.
stress – Mohr’s circle and the bonded strain gauge.
vessels – Lamé’s thick-walled cylinder.
energy – Castigliano’s theorem and Mohr’s unit-load method.
trusses – Whipple’s method of joints, Maxwell’s count and reciprocal theorem, and the direct stiffness method.
plasticity – Kazinczy’s plastic hinges.
frames – Maney’s slope-deflection, Hardy Cross’s moment distribution and plane frames by direct stiffness.
Beams#
Bending stress, continuous beams and moving loads.
Cables and arches#
Hanging cables and the arches that are their inverted shapes.
Energy methods#
Deflections from strain energy.
Frames#
Rigid-jointed continuous beams and frames.
Livesley’s plane frames by direct stiffness (1956)
Members#
Axial bars and twisted shafts.
Plasticity#
Plastic hinges and collapse loads.
Shear and sections#
Transverse shear stress, built-up and transformed sections, unsymmetrical bending and the shear centre.
Stability#
Elastic and inelastic column buckling.
Stress#
Plane stress transformation, three-dimensional principal stresses and strain-gauge rosettes.
Trusses#
Pin-jointed trusses by statics and by stiffness.
Maxwell’s rigidity count and reciprocal theorem (1864)
Turner, Clough, Martin and Topp: the direct stiffness method (1956)
Pressure vessels#
Thin- and thick-walled cylinders under pressure.
