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Arche 3 Theory Of Structures

Architecture Engineering

Theory of Structures Overview

Foundations, assumptions, modeling principles, and analysis workflow for ARCHE 3 Theory of Structures.

Module 1: Introduction to Structural Analysis and Loads

Structural systems, load paths, tributary areas, design actions, and Philippine load-combination context.

Module 2: Stability and Determinacy

Structural stability, constraint geometry, static indeterminacy, releases, and degrees of freedom.

Module 3: Analysis of Statically Determinate Structures

Equilibrium-based analysis of beams, trusses, cables, and three-hinged arches.

Module 4: Moving Loads and Influence Lines

Influence lines, Müller-Breslau principle, moving-load response, and response envelopes.

Module 5: Deflection of Structures

Elastic curves, geometric methods, conjugate beams, virtual work, and energy methods for structural displacement.

Module 6: Approximate Analysis of Statically Indeterminate Structures

Behavior-based approximate analysis of building frames under gravity and lateral loading.

Module 7: Exact Analysis of Indeterminate Structures - Force Methods

Flexibility method, consistent deformations, reciprocal flexibility, redundants, and three-moment concepts.

Module 8: Exact Analysis of Indeterminate Structures - Displacement Methods

Slope-deflection, moment distribution, joint rotations, translation, stiffness, and carry-over.

Module 9: Matrix Stiffness Method

Direct stiffness method, coordinate transformation, assembly, constraints, solution, and force recovery.