Arche 3 Theory Of Structures
Architecture Engineering
Theory of Structures Overview
This course focuses on the analysis of statically determinate and indeterminate structures under various loading conditions. It serves as the bridge between basic mechanics and actual structural design.
Module 1: Introduction to Structural Analysis and Loads
Classification of structures, design loads per NSCP, load path and tributary areas.
Module 2: Stability and Determinacy
Conditions for stability, external and internal determinacy, degree of indeterminacy.
Module 3: Analysis of Statically Determinate Structures
Reactions of multi-span beams, complex roof trusses, and three-hinged arches.
Module 4: Moving Loads and Influence Lines
Concept of moving loads, influence lines for determinate beams, maximum shear and moment.
Deflection of Structures
Methods for calculating the elastic deformation of beams and frames, including Double Integration, Moment-Area, Conjugate Beam, and Energy Methods.
Approximate Analysis of Statically Indeterminate Structures
Simplified methods for analyzing complex indeterminate frames under vertical and lateral loads, including the Portal and Cantilever methods.
Exact Analysis of Indeterminate Structures: Force Methods
The Method of Consistent Deformations, Maxwell-Betti theorem, and the Three-Moment Equation for analyzing statically indeterminate structures.
Exact Analysis of Indeterminate Structures: Displacement Methods
The Slope-Deflection Method and the Moment Distribution Method for analyzing indeterminate beams and frames.
Module 9: Matrix Stiffness Method
Introduction to matrix methods, local vs. global coordinates, and assembly of the global stiffness matrix.