Structural Analysis

Introduction:
Overview of structural analysis and structural design. Structural loads and structural design. Quick review of statics, free body diagrams, equations of equilibrium. Stability and determinacy.
Statically Determinate Trusses:
Types and classification of trusses. Method of joints, method of sections. Compound trusses.
Statically Determinate Beams and Frames:
Internal forces: shear and bending moment diagram for a beam. Shear and moment diagrams for a frame. Principle of Superposition
Cables and Arches:
Boundary conditions for arches. Three-hinged arch structures. Analysis of circular and parabolic arch structures. Cables subject to uniformly distributed loads. Simplified analysis of suspension structures.
Influence Lines for Statically Determinate Structures:
Muller-Breslau Principle and general procedure for obtaining influence lines. Qualitative influence lines for beams and frames. Live-load patterns; determination of maximum response by influence lines.
Deflection of Structures:
Differential equations and moment area method. Principle of virtual work. Method of virtual work to determine deflections.
Method of Consistent Deformations (Force Method):
General procedure. Effects of support settlement (movement), temperature change, and fabrication errors.
Slope-Deflection Equations (Displacement Method):
General procedure for displacement method. Differences between the force and displacement methods. Slope-deflection equations and sign conventions. Analysis of simple structures with the slope-deflection equations.