Statics Of Rigid Bodies
Civil Engineering
Introduction to Statics and Engineering Idealizations
Interactive foundations of statics covering equilibrium, mass and weight, engineering units, model idealization, and vector addition.
Force Systems, Moments, and Distributed Loads
Interactive vector operations, equivalent force systems, moments, couples, and distributed-load resultants for Statics of Rigid Bodies.
Equilibrium of Particles
Interactive two-dimensional and three-dimensional particle equilibrium, cable tensions, pulley systems, and feasibility checks.
Two-Dimensional and Three-Dimensional Rigid-Body Equilibrium
Interactive support reactions, stability, spatial supports, and six-equation rigid-body equilibrium.
Internal Forces in Structural Members
Interactive section-cut, axial, shear, and bending-moment analysis for determinate structural members.
Dry Friction
Dry-friction equilibrium, impending motion, wedges, belts, ladders, and sliding-versus-tipping behavior.
Centroids and Centers of Gravity
Composite areas, holes, polygons, density-weighted centers of gravity, and wire centroids.
Area Moments of Inertia and Section Properties
Centroidal properties, parallel axes, composite sections, principal axes, Mohr’s circle, and radius of gyration.
Virtual Work
Constraint-compatible virtual displacements for equilibrium of levers, pulleys, and mechanisms.
Cables and Arches
Interactive analysis of polygonal, parabolic, and catenary cables with a concise arch comparison.
Three-Hinged Arches
Interactive reactions, crown thrust, section forces, shape effects, and imposed-movement compatibility for statically determinate three-hinged arches.
Stability and Tipping
Base reactions, eccentricity, middle-third behavior, sliding, tipping, uplift, retaining walls, and crane stability.