Statics and Dynamics

Static and dynamical mechanical systems are the heart of all engineering today. The static systems range from bridges, load bearing members of roofs to fasteners and bolts. Dynamical systems are also ubiquitous in the form of machines which convert electrical energy to mechanical energy. Understanding the equations governing these static and dynamical systems is at the heart of this course. During this course, we will touch upon the theoretical tools that we have available to us in order to be able to analyse these systems. The world around us is full of engineered systems, such as machines, automobiles, bridges and buildings. The objective of this course is to present the basic principles of dynamics and help develop proficiency in applying these principles to formulate and solve dynamics problems. We will also study applications of dynamics concepts to modeling engineered machines.

Dr.Mahesh V Panchagnula course intro.
Introduction to the course.
Newton's laws.
Equilibrium.
Example 1 - Statics.
Example 2 - Rigid Body Systems.
Example 3 - Rigid Body Systems.
Structural Systems with rigid bodies.
Types of 1-D Structural Elements.
Axial members.
Analysis of the truss system.
Stability of Structural systems.
Beams - Example 1.
Beams - BMD and SFD.
Beams - Loading, Shear and Bending Moment Relations.
Static Friction.
Friction - Solving Problems.
Particle Kinematics - 1.
Particle Kinematics - 2 (Example).
Particle Kinematics - Curvilinear Coordinates.
Rigid Body Kinematics.
Rotational Motion (Example 1).
Rotational Motion (Example 2).
Dynamics (Introduction).
Dynamics -Example 1.
Dynamics -Example 2.
Dynamics -Example 3.
Dynamics -Example 4.
Center of Percussion - Example.
Impulse/Momentum - Example 1.
Impulse/Momentum - Example 2.
Impulse/Momentum - Example 3.
Impulse/Momentum - Example 4.
Work Energy Methods - Example 1.
Work Energy Methods - Example 2.
8.3 Work Energy Methods - Example 3.