Analyze structural behavior and loads

Structural Analysis screenshot
Structural Analysis screenshot
Structural Analysis screenshot
Structural Analysis screenshot
Structural Analysis screenshot
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Flashcard Decks
Curriculum

What You'll Learn

01 Introduction to Structural Analysis
4 topics
1 Basic Concepts and Terminology
  • Types of Structures
  • Structural Elements and Systems
  • Loads and Support Conditions
2 Principles of Mechanics
  • Equilibrium
  • Compatibility
  • Constitutive Relationships
3 Idealization and Modeling
  • Assumptions in Structural Analysis
  • Degrees of Freedom
  • Boundary Conditions
4 Methods of Structural Analysis
  • Classical vs. Modern Methods
  • Determinacy and Indeterminacy
  • Overview of Analytical Approaches
02 Analysis of Statically Determinate Structures
5 topics
1 Equilibrium of Rigid Bodies
  • Free Body Diagrams
  • Equations of Static Equilibrium
2 Trusses
  • Types of Trusses
  • Method of Joints
  • Method of Sections
  • Zero-Force Members
3 Beams
  • Shear Force and Bending Moment Relationships
  • Shear Force and Bending Moment Diagrams
  • Qualitative Analysis of Beam Behavior
4 Frames and Arches
  • Analysis of Plane Frames
  • Three-Hinged Arches
  • Compound Structures
5 Cables and Suspension Bridges
  • Cable Structures Under Different Loading Conditions
  • Suspension Bridge Analysis
  • Cable-Stayed Structures
03 Deflection of Structures
4 topics
1 Energy Methods
  • Strain Energy Principles
  • Principle of Virtual Work
  • Castigliano's Theorems
2 Geometric Methods
  • Double Integration Method
  • Moment-Area Method
  • Conjugate Beam Method
3 Deflection of Trusses
  • Virtual Work Method for Trusses
  • Unit Load Method
4 Deflection of Beams and Frames
  • Superposition Method
  • Elastic Load Method
  • Application to Complex Structures
04 Analysis of Statically Indeterminate Structures
3 topics
1 Force Method (Flexibility Method)
  • Fundamental Concepts
  • Compatibility Equations
  • Application to Beams
  • Application to Frames
  • Application to Trusses
2 Displacement Method (Stiffness Method)
  • Fundamental Concepts
  • Slope-Deflection Method
  • Moment Distribution Method
  • Application to Continuous Beams
  • Application to Frames
3 Influence Lines for Indeterminate Structures
  • Müller-Breslau Principle
  • Qualitative Influence Lines
  • Quantitative Analysis
05 Matrix Methods of Structural Analysis
5 topics
1 Introduction to Matrix Analysis
  • Matrix Algebra Review
  • Coordinate Systems and Transformations
2 Direct Stiffness Method
  • Element Stiffness Matrices
  • Assembly of Global Stiffness Matrix
  • Boundary Conditions and Solution Procedures
3 Analysis of Trusses
  • Truss Element Stiffness Matrix
  • Transformation of Coordinates
  • Assembly and Solution
4 Analysis of Beams and Frames
  • Beam Element Stiffness Matrix
  • Frame Element Stiffness Matrix
  • Assembly and Solution
5 Computer Implementation
  • Data Structures and Algorithm Development
  • Program Flow and Solution Techniques
  • Interpretation of Results
06 Influence Lines
4 topics
1 Concept of Influence Lines
  • Definition and Uses
  • Influence Lines vs. Response Curves
2 Influence Lines for Determinate Structures
  • Beams
  • Trusses
  • Frames
3 Moving Loads and Envelopes
  • Types of Moving Loads
  • Maximum Effects
  • Design Envelopes
4 Multiple and Distributed Loads
  • Train of Concentrated Loads
  • Uniformly Distributed Loads
  • Partially Distributed Loads
07 Approximate Methods of Analysis
5 topics
1 Purpose and Scope
  • Preliminary Design Considerations
  • Verification of Computer Results
2 Portal Method
  • Assumptions
  • Procedure
  • Limitations
3 Cantilever Method
  • Assumptions
  • Procedure
  • Limitations
4 Substitute Frame Method
  • Beam Approximations
  • Frame Approximations
5 Grillage Analysis
  • Modeling Approach
  • Analysis Techniques
  • Applications
08 Plastic Analysis
4 topics
1 Material Behavior Beyond Elastic Limit
  • Stress-Strain Relationships
  • Yield Criteria
  • Plastic Hinge Concept
2 Plastic Analysis of Beams
  • Plastic Moment Capacity
  • Load-Carrying Capacity
  • Collapse Mechanisms
3 Plastic Analysis of Frames
  • Upper and Lower Bound Theorems
  • Mechanism Method
  • Instantaneous Center Method
4 Limit Design
  • Safety Factors in Plastic Design
  • Design Procedures
  • Code Provisions
09 Structural Dynamics
4 topics
1 Single Degree of Freedom Systems
  • Equation of Motion
  • Free Vibration
  • Forced Vibration
  • Resonance
2 Multi-Degree of Freedom Systems
  • Equations of Motion
  • Natural Frequencies and Mode Shapes
  • Modal Analysis
3 Dynamic Response Analysis
  • Time-History Analysis
  • Response Spectrum Method
  • Numerical Integration Methods
4 Seismic Analysis
  • Seismic Loads
  • Equivalent Static Force Method
  • Dynamic Analysis Procedures
  • Seismic Design Considerations
10 Stability Analysis
4 topics
1 Concepts of Structural Stability
  • Types of Equilibrium
  • Bifurcation Points
  • Critical Loads
2 Euler Buckling
  • Euler Buckling Formula
  • Effective Length Concept
  • Slenderness Ratio
3 Stability of Frames
  • Sidesway and Non-Sidesway Buckling
  • Stability Functions
  • Second-Order Effects
4 Lateral-Torsional Buckling
  • Beams
  • Columns
  • Design Considerations
11 Special Topics in Structural Analysis
4 topics
1 Finite Element Method
  • Basic Principles
  • Element Types
  • Applications in Structural Analysis
2 Plates and Shells
  • Plate Theory
  • Shell Theory
  • Analysis Methods
3 Non-Linear Analysis
  • Material Non-Linearity
  • Geometric Non-Linearity
  • Solution Techniques
4 Structural Optimization
  • Objective Functions
  • Constraints
  • Optimization Algorithms
12 Computer Methods and Software
4 topics
1 Structural Analysis Software
  • Overview of Commercial Software
  • Capabilities and Limitations
  • Selection Criteria
2 Building Information Modeling (BIM)
  • Integration with Structural Analysis
  • Interoperability
  • Model Checking and Validation
3 Advanced Computational Techniques
  • Parallel Processing
  • Cloud Computing
  • Machine Learning Applications
4 Verification and Validation
  • Quality Assurance Procedures
  • Benchmark Problems
  • Error Analysis
13 Appendices
3 topics
1 Mathematical Background
  • Differential Equations
2 Properties of Structural Sections
  • Standard Steel Sections
  • Concrete Sections
  • Composite Sections
3 Structural Analysis Tables and Charts
  • Fixed-End Moments
  • Deflection Formulas
  • Influence Line Ordinates

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