Structure Analysis -1
Structural Dynamics
Forces and Moments
A General Method for the Axially Loaded Slender Bar
Classical Analysis of the Bending of Beams
Structural Analysis in Two and Three Dimensions
- Introduction & Units
- Forces in Mechanics of Materials
- Concentrated Forces
- Moment of a Concentrated Force
- Distributed Forces—Force and Moment Resultants
- Internal Forces and Stresses—Stress Resultants
- Free Body Diagrams
- Equilibrium—Concentrated Forces
- Equilibrium—Distributed Forces
- Equilibrium—Internal Forces and Stresses
- Displacement and Strain
- Hooke’s Law in One Dimension—Tension
- Poisson’s Ratio
- Hooke’s Law in one & Two Dimensions for Isotropic Materials
- Analysis and Design of Pin-jointed Trusses
- Torsional Displacement, Strain, and Stress
- Derivation and Solution of the Governing Equations
- Solutions from the Theory of Elasticity
- Torsional Stress in Thin Walled Cross Sections
- Torsional Stress and Stiffness in Multicell Sections
- Torsional Stress and Displacement in ThinWalled Open Sections
- Thermal Strain
- Fiber Reinforced Composite Laminates
- Solutions from the Theory of Elasticity
- Derivation and Solution of the Governing Equations
- The Statically Determinate Case
- The Statically Indeterminate Case
- Variable Cross Sections
- Thermal Stress and Strain in an Axially Loaded Bar
- Shearing Stress in an Axially Loaded Bar
- Analysis and Design of Pin Jointed Trusses
- Work and Energy—Castigliano’s Second Theorem
- Summary and Conclusions
- Nodes, Elements, Shape Functions, and the Element Stiffness Matrix
- A General Method—Distributed Applied Loads
- A General (Finite Element) Method
- Continuously Variable Cross Sections
- Area Properties—Sign Conventions
- Derivation and Solution of the Governing Equations
- The Statically Determinate Case
- Work and Energy—Castigliano’s Second Theorem
- The Statically Indeterminate Case
- Solutions from the Theory of Elasticity
- Variable Cross Sections
- Shear Stress in Non Rectangular Cross Sections—Thin Walled Cross Sections
- Design of Beams
- Large Displacements
- Nodes, Elements, Shape Functions, and the Element Stiffness Matrix
- The Global Equations and their Solution
- Distributed Loads in FEM
- Summary and conclusions
- The Governing Equations in Two Dimensions—Plane Stress
- Transformation of Stress in Two Dimensions
- Principal Axes and Principal Stresses in Two Dimensions
- Transformation of Strain in Two Dimensions
- Strain Rosettes
- Stress Transformation and Principal Stresses in Three Dimensions
- Allowable and Ultimate Stress, and Factors of Safety
- Fatigue
- Orthotropic Materials—Composites
- Review and Summary of Slender Bar Equations
- Torsional Loading
- Bending in One Plane
- Bending in Two Planes-When Iyz is Equal to Zero
- Bending in Two Planes-When Iyz is Not Equal to Zero
- Bending and Torsion in Thin Walled Open Sections—Shear Center
- Bending and Torsion in Thin Walled Closed Sections—Shear Center
- Stiffened ThinWalled Beams
- Introduction
- Introduction to the Principle of Virtual Work
- Static Analysis of Slender Bars by Virtual Work
- Static Analysis of 3D and 2D Solids by Virtual Work
- The Element Stiffness Matrix for Plane Stress
- The Element Stiffness Matrix for 3D Solids
- Thin Flat Plates—Classical Analysis
- Thin Flat Plates—FEM Analysis
- Three Dimensional Structures—Classical and FEM Analysis
- Introduction to Classical Lamination Theory
- Strain Displacement Equations for Laminates
- Stress-Strain Relations for a Single Lamina
- Stress Resultants for Laminates
- CLT Constitutive Description
- Determining Laminae Stress/Strains
- Laminated Plates Subject to Transverse Loads
- The Equations for a Beam with Combined Lateral and Axial Loading
- Dynamics of Mass/Spring Systems
- Evolution in the (Intelligent) Design and Analysis of Structural Members
- Area Properties of Cross Sections
- Orthogonality of Normal Modes