Mechanics

Equilibrium of a Particle

·          Condition for the Equilibrium of a Particle

·          The Free-Body Diagram

·          Coplanar Force Systems

·          Three-Dimensional Force Systems

 

Dynamics of Particles

·          Rectilinear Motion

·          Curvilinear Motion

·          Forces, Momentum and Angular Momentum

 

Force System Resultants

·          Moment of a Force - Scalar Formulation

·          Cross Product

·          Moment of a Force - Vector Formulation

·          Principle of Moments

·          Moment of a Force About a Specified Axis

·          Moment of a Couple

·          Equivalent System

·          Resultant of a Force and Couple System

 

Statics of Rigid Bodies

·          Principle of Transmissibility of a Force

·          Moment of a Force

·          Moment of a Couple

·          Equilibrium of a Rigid Body

·          Center of Gravity

 

Equilibrium of a Rigid Body

·          Conditions for Rigid-Body Equilibrium

 

Equilibrium in Two Dimensions

·          Free-Body Diagrams

·          Equations of Equilibrium

·          Two- and Three-Force Members

 

Equilibrium in Three Dimensions

·          Free-Body Diagrams

·          Equations of Equilibrium

·          Constraints for a Rigid Body

 

Structural Analysis

·          Simple Trusses

·          The Method of Joints

·          Zero-Force Members

·          The Method of Sections

·          Frames and Machines

 

Friction

·          Static Friction

·          Dynamic Friction

·          Wedges

 

Center of Gravity and Centroid

·          Center of Gravity and Center of Mass for a System of Particles

·          Center of Gravity, Center of Mass, and Centroid for a Body

·          Composite Bodies

 

Moments of Inertia

·          Definition of Moments of Inertia for Areas

·          Parallel-Axis Theorem for an Area

·          Radius of Gyration of an Area

·          Moments of Inertia of an Area by Integration

·          Moments of Inertia for Composite Areas

·          Mass Moment of Inertia