Structures
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⏹️ Course Syllabus
Strength of Materials
- ⬛ Stress and Strain – Basics and Types
- ⬛ 3D Stress and Strain Transformations
- ⬛ Principal Stresses and Strains
- ⬛ Mohr’s Circle for Stress and Strain
- ⬛ Generalized Hooke’s Law and Elastic Constants
- ⬛ Plane Stress and Plane Strain
Structural Members and Buckling
- ⬛ Supports and Reactions
- ⬛ Statically Determinate Trusses
- ⬛ Introduction to Beams and Types of Loadings
- ⬛ Point Loads on Beams
- ⬛ Uniform Loads on Beams
- ⬛ Varying Loads on Beams
- ⬛ Shear Force & Bending Moment Diagrams
- ⬛ Beams with Overhangs and Combined Loadings
- ⬛ Statically Indeterminate Trusses and Beams
- ⬛ Compatibility Conditions in Indeterminate Structures
- ⬛ Castigliano’s Theorem in Indeterminate Analysis
- ⬛ Column Buckling and Elastic Instability
- ⬛ Euler’s Buckling Formula
- ⬛ Slenderness Ratio, Critical Load, and Column Design
Failure Theories and Energy Methods
- ⬛ Overview of Failure Theories
- ⬛ Maximum Stress Theory
- ⬛ Maximum Shear Stress (Tresca) Theory
- ⬛ von Mises (Distortion Energy) Theory
- ⬛ Strain Energy in Axial, Bending, and Torsion
- ⬛ Castigliano’s First Theorem
- ⬛ Castigliano’s Second Theorem and Applications
Flight Vehicle Structures
- ⬛ Aircraft Structures and Load Paths
- ⬛ Aerospace Structural Materials
- ⬛ Loads Acting on Aircraft
- ⬛ Torsion of Thin-Walled Open and Closed Sections
- ⬛ Shear Flow in Thin-Walled Sections
- ⬛ Bending of Thin-Walled Beams
- ⬛ Shear Center and Its Importance
Structural Dynamics
- ⬛ Introduction to Structural Dynamics
- ⬛ Free Vibration of Undamped SDOF Systems
- ⬛ Free Vibration of Damped SDOF Systems
- ⬛ Forced Vibration of Damped SDOF Systems
- ⬛ Vibration Isolation and Damping Ratio Effects
- ⬛ Introduction to Undamped 2-DOF Systems
- ⬛ Natural Frequencies and Mode Shapes (2-DOF)
- ⬛ Vibration of beams
Theory of Elasticity
- ⬛ Introduction to Theory of Elasticity
- ⬛ Stress Components in 2D and 3D
- ⬛ Equilibrium Equations in Cartesian Coordinates
- ⬛ Strain Components and Compatibility Equations
- ⬛ Airy’s Stress Function
- ⬛ Examples of Airy’s Stress Function
