Statics: key to success in Engineering

This course contains several sections as follows:

1. General Principles and Force Vectors

• Fundamental concepts in Mechanics

• Units of Measurements in SI and FPS

• Numerical calculations and main steps for analysis

• Vectors and Scalars

• Vector Operations

• Coplanar Forces addition and resultant

• Cartesian vectors and their resultant

• Position vectors

• Force vector along specific line of action

• Vectors dot product

2. Particle Equilibrium and Force System

• Particle idealization and concept of its equilibrium

• Free body diagram concept of a particle in the 2D and 3D systems

• Analysis of a particle under different coplanar and 3D forces

• Moment of a force in scalar form

• Cross product of vectors and its application, especially moment

• Simplification of a force system and its moment and resultant

• Simplification of a simple distributed loads

3. Rigid Body Equilibrium and Dry Friction

• Rigid body idealization and its equilibrium concept

• Free body diagram of a rigid body in the 2D and 3D systems

• Defining rigid body supports in 2D and 3D systems

• Identification of a statically determinacy and constraints

• Providing equations of equilibrium for a rigid body in 2D and 3D

• Analysis of a rigid body in 2D and 3D systems under different situations

• Dry friction characteristics and concept

• Identifying and analysis the dry friction problems

4. Structural Analysis and Internal Forces

• Truss idealization and simple truss

• Zero force member

• Joint method analysis for the truss analysis

• Method of section for truss analysis

• Space trusses

• Frames and Machines

• Internal forces in structural members

• Shear diagram for Beams

• Moment diagram for Beams

5. Center of Gravity, Centroid and Moment of Inertia   

• Centre of gravity of a body

• Centroid and centre of mass of a body

• Composite bodies centres and centroid

• Moments of Inertia for areas concept and definition

• Moments of Inertia for simple area calculation

• Parallel Axes Theorem

• Radius of gyration for an area

• Moment of Inertia for composite areas