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Arche 1 Architectural Mechanics

Architecture Engineering

Introduction to Mechanics

Foundations of rigid-body statics for architectural mechanics, including force vectors, idealizations, Newton's laws, units, and equilibrium.

Force Systems

Planar force systems, vector components, resultants, equilibrants, and equivalent concentrated loads for architectural mechanics.

Moments and Couples

Moment of a force, couples, Varignon's theorem, and force-couple equivalence for planar rigid bodies.

Equilibrium of Coplanar Force Systems

Free-body diagrams, support reactions, planar rigid-body equilibrium, distributed-load resultants, and stability for architectural mechanics.

Analysis of Simple Structures

Ideal trusses, frames, machines, zero-force members, and method-of-joints and method-of-sections concepts for architectural mechanics.

Friction

Dry friction, impending motion, friction angles, tipping versus sliding, wedges, and belt friction for architectural mechanics.

Centroids and Center of Gravity

Centroids, centers of mass and gravity, composite areas, first moments, distributed-load resultants, and Pappus-Guldinus theorems.

Moments of Inertia

Area moments of inertia, polar moments, parallel-axis theorem, radius of gyration, product of inertia, and mass moment of inertia.

Internal Forces in Beams

Axial force, shear, bending moment, section cuts, and load-shear-moment relationships for planar beams.