Engineering Mechanics (2015)
Topic outline


Forum


· What is Mechanics?
· Fundamental Concepts and Principles

• Force on a Particle  Resultant of 2 Forces
• Vectors and Addition of Vectors
• Resultant of Concurrent Forces
• Resolution of a Force into its Components
• Rectangular Components of a Force. Resultant of Forces by summing the components
Equilibrium of a Particle. FreeBody Diagram

a)Equivalent Systems of Forces
· External and Internal Forces
· Principle of Transmissibility. Equivalent Forces
· Two  Dimensional Structures
· Moment of a Force about a Point
· Varignon's Theorem
· Moment of a couple
· Equivalent Couples
· Addition of Couples
· Resolution of a Given Force into a Force Acting at a Given Point and a Couple
· Reduction of a System of Coplanar Forces to One Force and One Couple.
· Resultant of a System of Coplanar Forces Equivalent Systems of Coplanar Forces
b)Statics of Rigid Bodies in Two Dimensions : Equilibrium of Rigid Bodies
· Rigid Body in Equilibrium
· Free Body Diagram
· Reactions at Supports and Connections for a TwoDimensional Structure
· Equilibrium of a Rigid Body. FreeBody Diagram
Equilibrium of TwoForce Bodies and ThreeForce Bodies

· Centroids and First Moment of Areas and Lines
· Composites Plates and Lines
· Theorems of PappusGuldinus

· Definition of Truss. Simple Trusses
· Analysis of Trusses by the Method of Joints
· Analysis of Trusses by the Method of Sections

· Laws of Dry Friction.
· Coefficients and Angles of Friction
· Problems involving dry friction
· Wedges

a)Rectilinear Motion of Particles
· Determination of the Motion of a Particle
· Uniformly Accelerated Motion
· Motion of Several Particles : Relative Motion, Dependent Motions
b)Curvilinear Motion of Particles
· Position vector, velocity and acceleration
· Rectangular components of Velocity and Acceleration
· Tangential and normal components of Acceleration
· Relative Motion
c)Kinetics of Particles : Newton’s 2nd Law
· Newton’s Second Law of Motion
· Equations of motion
· Rectilinear motions
· Curvilinear motions
d)Newton’s 2nd Law
· Newton’s Second Law of Motion
· Equations of motion
· Rectilinear motions
· Curvilinear motions


