36 tabulated beam cases with superposition: reactions, shear, moment, slope, deflection and stresses, plus layered and bimetallic beams.

Column buckling & crippling — Euler/Johnson column strength and local crippling interaction.

Beam section properties and combined bending/shear/torsion stress.

Frame shear-flow and load-path analysis for a stiffened fuselage frame bay.

Tie-rod / strut axial-member analysis: tension yield/ultimate margin, Euler/Johnson column buckling stability, and end-fitting (lug or thread) allowable-load check, with full graphics.

Beam shear, bending moment and deflection with margins for cantilever, simply supported and fixed-fixed beams under point or uniform load.

Beam-column interaction: secant moment amplification under axial compression with lateral load or end moments, stress and interaction margin.

Thin-wall torsion of closed tubes and boxes: shear stress, twist and stiffness, compared with the open-slit section.

Continuous multi-span beam, pin or bolt on several supports: reactions, shear, moment, deflection and combined stress.

Column buckling with the Johnson-Euler curve and the secant formula for eccentricity, plus an element-by-element local buckling and crippling estimate.

Moment-curvature bending past yield with a Ramberg-Osgood curve: stress, strain, plastic modulus and moment capacity.

Reactions, bearing stress and bending margin for a beam held in a socket and loaded sideways.

Area, centroid, inertia, principal axes and section moduli of any solid polygon from its corner points.

Member forces, stresses and buckling margins for a two-bar pin-jointed truss loaded at the shared joint.

First three bending natural frequencies of a uniform cantilever, simply supported or fixed-fixed beam, with tip mass on a cantilever.

First-yield and fully plastic torque, shape factor and twist of a solid round bar or tube, with margins.

Reactions, support and span bending moments and bending stress of a beam on three supports with uniform loads on each span.

Deflection, moment and support pressure for a long beam on a continuous elastic foundation under a point load.

Peak stress, Euler load and load to first yield for an eccentrically loaded column by the secant formula.

Torsion constant, peak shear stress and twist for an open section built of thin strips such as an angle or channel.

Deflection, slope, moment and reaction for six standard beam load cases.

Joint shear flow and largest fastener pitch for a built-up beam, with the margin at a chosen pitch.

Torque from power and speed, shear stress, twist and margin for a solid or hollow round shaft.

Amplified moment, deflection and stress of a pin-ended beam under axial compression and transverse load.

Inside and outside fiber bending stress and neutral axis of a curved beam of rectangular section.

Area, second moments, moduli and radii of gyration for rectangle, circle, tube, box and I sections.

Forces, stresses and junction movement of a two-segment bar fixed at both ends with load and heating.

Peak and average shear stress from a transverse force in common beam sections, with margin.

Centroid, inertia, section moduli and bending stress of a section built from parts.

Shear stress, torsion constant and twist of a closed thin-wall round or box section.

Elongation, stiffness and peak stress of a uniformly tapered round or rectangular bar.

Centroid, inertia, shear center position and torque for a thin-wall channel section.

End moments, reactions and span moment of a fixed-fixed beam under common loads.

Peak shear stress, torsion constant and twist of a solid rectangular bar under torque.

Bending stress at a point of a section loaded about both axes with a product of inertia, and the neutral axis angle.

Worst bending moment and shear on a simple span as a pair of loads crosses it.

Bending stress, deflection and rate of a semi-elliptic leaf spring under a center load.

Reactions, shear, moment, stress and deflection of a beam with several point loads.

Weight and size of a hollow shaft against a solid shaft of the same torque strength.

Twist, stiffness and shear stress of a shaft with several round segments.

Stress, sag and longest span of a pipe full of liquid between supports.

Deflection and peak bending stress in a thin ring squeezed across a diameter.

Bearing loads and bending stress in a shaft carrying one gear.

Output torque, speed and shaft stress from a motor through a gear reduction.

Torque capacity of a shaft with a keyseat from a strength reduction factor.

Stress and stretch of a two-section axial bar.

Guy wire tension and mast push-down.

Maximum moment and reaction for two moving wheel loads.

Elastic stretch of a cable under tension.

A beam fixed at one end and held by a prop at the other carries a uniform load statically indeterminate.

A round tube has an area, a moment of inertia and a radius of gyration that set how slender a column of it is.

Stretching a bar thins it sideways by Poisson's ratio, so its volume changes by a smaller amount than the stretch suggests.

A solid rectangular bar twisted by a torque carries its highest shear stress at the middle of the long side.