Learn statics: equilibrium, FBDs, moments, trusses/frames and quizzes
108
Sub Topics
227
MCQs
95
MCOs
164
True/False
109
Fill Blanks
38
Rearrange
86
Matching
55
Comprehensions
99
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Statics 3 topics
1 Basic Concepts and Principles
- Definition of Statics
- Fundamental Quantities and Units
- Newton's Laws of Motion
- Law of Gravitation
2 Scalar and Vector Quantities
- Definition and Differences
- Vector Operations (Addition, Subtraction, Products)
- Vector Components and Unit Vectors
3 Systems of Units
- SI Units
- US Customary Units
- Conversion Between Systems
02 Forces and Force Systems 5 topics
1 Classification of Forces
- Contact and Body Forces
- External and Internal Forces
- Coplanar and Non-coplanar Forces
- Concurrent and Non-concurrent Forces
2 Force Vectors
- Representation of Forces
- Components of Forces
- Direction Cosines
3 Moment of a Force
- Definition and Calculation
- Varignon's Theorem
- Scalar and Vector Formulations
4 Couple
- Definition and Properties
- Equivalent Couples
- Replacement of a Force by a Force and a Couple
5 Force System Resultants
- Concurrent Force Systems
- Parallel Force Systems
- General Force Systems
- Resultant Force-Couple Systems
03 Equilibrium of Rigid Bodies 4 topics
1 Conditions for Equilibrium
- First Condition (Force Equilibrium)
- Second Condition (Moment Equilibrium)
- Mathematical Statements of Equilibrium
2 Free Body Diagrams
- Purpose and Construction
- Identifying All Forces and Moments
- Constraints and Reactions
3 Two-Dimensional Equilibrium Problems
- Statically Determinate Systems
- Equations of Equilibrium in 2D
- Types of Supports and Connections
4 Three-Dimensional Equilibrium Problems
- Equations of Equilibrium in 3D
- Spatial Support Conditions
- Solution Strategies
04 Structural Analysis 3 topics
1 Trusses
- Definition and Classification
- Assumptions in Truss Analysis
- Method of Joints
- Method of Sections
- Zero-force Members
- Complex Trusses
2 Frames and Machines
- Definitions and Differences
- Analysis of Frames
- Analysis of Machines
- Multi-force Members
3 Internal Forces
- Normal Force, Shear Force, and Bending Moment
- Sign Conventions
- Relationships Between Load, Shear, and Moment
- Shear and Bending Moment Diagrams
05 Distributed Forces 4 topics
1 Centers of Mass and Centroids
- Definition of Center of Mass
- Centroids of Lines, Areas, and Volumes
- Composite Bodies
- Theorems of Pappus and Guldinus
2 Moments of Inertia
- Definition of Mass Moment of Inertia
- Parallel Axis Theorem
- Radius of Gyration
- Principal Moments of Inertia
3 Area Moments of Inertia
- Calculation for Simple Shapes
- Composite Areas
- Product of Inertia
- Principal Axes and Principal Moments
4 Distributed Loads
- Types of Distributed Loads
- Resultants of Distributed Loads
- Hydrostatic Forces and Pressure Centers
06 Friction 3 topics
1 Laws of Dry Friction
- Coulomb Friction
- Static and Kinetic Friction
- Angle of Friction
2 Friction Problems
- Wedges and Screws
- Belt Friction
- Rolling Resistance
- Bearings and Axle Friction
3 Applications of Friction
- Ladder Problems
- Friction on Inclined Planes
- Disk Friction
- Stability with Friction
07 Virtual Work and Potential Energy 2 topics
1 Principle of Virtual Work
- Definition and Concepts
- Application to Equilibrium
- Virtual Displacement
2 Potential Energy and Stability
- Conservative Forces
- Potential Energy Function
- Equilibrium Conditions
- Stable, Unstable, and Neutral Equilibrium
08 Kinematics of Particles 2 topics
1 Rectilinear Motion
- Position, Velocity, and Acceleration
- Uniform and Non-uniform Motion
- Relative Motion
2 Curvilinear Motion
- Rectangular Components
- Normal and Tangential Components
- Polar Coordinates
- Circular Motion
09 Introduction to Dynamics 2 topics
1 Transition from Statics to Dynamics
- Relationship Between Statics and Dynamics
- D'Alembert's Principle
- Dynamic Equilibrium
2 Introduction to Kinetics
- Newton's Second Law in Dynamics
- Equations of Motion
- Dynamic Force Analysis
10 Appendices 3 topics
1 Appendix A: Vector Mathematics
- Vector Algebra
- Vector Calculus
- Matrix Operations
2 Appendix B: Properties of Areas and Solids
- Geometric Properties of Common Shapes
- Mass Properties of Common Solids
- Tables of Centroids and Moments of Inertia
3 Appendix C: Numerical Methods in Statics
- Computational Approaches
- Finite Element Method Introduction
- Computer-Aided Analysis
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