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
3
36
TAKE THIS COURSE