STATICS
Mathematics for Statics:
Homework comes from Engineering Mechanics-Statics, R. C. Hibbeler, Prentice Hall, Twelfth Edition (2010).
Unit 1(6 Lectures):
General Principles: Newton's First Law, Force Vectors, Equilibrium of a particle, Free-body Diagram, Forces in Space.
Homework #1: Problems: 2.1, 5, 9, 11, 15, 17, 19, 24, 29, 30.
Homework #2: Problems: 2.32, 37, 54, 69, 72, 81, 101, 105, 109.
Homework #3: Problems: 3.1, 13, 14, 15, 16, 25, 30, 34, 73.
Unit 2 (5 Lectures): Moment of a force, Couple, Reduction of a system of forces to one force and one couple. Reduction of simple distributed loading .
Homework #4: Problems: 4.9, 24, 35, 49, 52, 73, 81, 104, 120.
Unit 3 (4 Lectures): Equilibrium of a Rigid Body in two and three dimensions, Two and three-force members, Support reactions in free body diagrams.
Unit 4 (5 Lectures): Structural Analysis, Simple Trusses, Method of Joints, Zero-Force Members, Method of Sections, Frames and Machines.
Unit 5 (4 Lectures): Force Classification: Internal Forces and External Forces, Shear Force, and Bending Moment Diagrams. Principle of Transmissibility.
Unit 6 (6 Lectures): Friction Forces. Dry Friction, Coefficients of Static and Kinetic Friction, Wedges, Screws, Belts, Rolling Resistance.
Unit 7 (5 Lectures): Distributed forces: Center of gravity, Centroid, First moment of areas and lines, Theorem of Pappus-Guldinus, Force on Submerged surfaces, Center of gravity of a three-dimensional body, composite bodies .
Unit 8 (5 Lectures) Moment of Inertia of areas, polar moment of inertia, parallel-axis theorem, Moment of Inertia of composite areas, Product of Inertia, Principal axes and principal moments of inertia, Moment of inertia of masses, Parallel-axis theorem, Moment of inertia of thin plates .