CEE220 - Structural Analysis
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Course Overview
Analysis of structural systems based on Euler-Bernoulli beam theory, covering trusses, beams, and frames under various loading conditions including thermal effects. The course emphasizes kinematic relationships, compatibility, and the flexibility method for statically determinate structures.
Fundamental Hypotheses
- Plane sections remain plane under deformation (Euler-Bernoulli hypothesis) — shear distortion is neglected
- Material linearity is preserved throughout all loading stages — stress is linearly proportional to strain
- Small displacements allow linearized kinematics and equilibrium equations in the undeformed configuration
Homework Example (PDF)
Complete homework solution demonstrating kinematic matrix formulation, thermal analysis in trusses, and curvature-induced deformations in beams.
Homework #5 – Summary
Comprehensive analysis of structural systems demonstrating:
Problem 1
Truss thermal analysis with kinematic matrix $A_f$ and thermal expansion effects
Truss thermal analysis with kinematic matrix $A_f$ and thermal expansion effects
Problem 2
Beam curvature from temperature gradient with hinge rotation calculations
Beam curvature from temperature gradient with hinge rotation calculations
Problem 3
Complex frame analysis combining thermal loads and compatibility constraints
Complex frame analysis combining thermal loads and compatibility constraints
Computational Tools
Python/NumPy implementation for matrix operations and system solving
Python/NumPy implementation for matrix operations and system solving