Unit 1: Vector Algebra
1.1 Introduction to vector algebra
1.2 Scalar and vector product
1.3 Scalar triple product and vector triple product
1.4 Application to geometry
Unit 2: Vector Calculus
2.1 Limit, continuity and differentiability of vector point functions
2.2 Partial derivatives of vector point functions
2.3 Scalar and vector fields
2.4 The gradient, divergence and curl
2.5 Expansion formulas
Unit 3: Forces
3.1 Fundamental concepts and principles
3.2 Internal-non-internal frames, Newton’s laws
3.3 Resultant of several concurrent forces
3.4 The parallelogram law of forces
3.5 Resolution of a forces, triangle of forces
3.6 Lamy’s theorem, polygon of forces
3.7 Conditions of equilibrium for a particle
3.8 External and internal forces, principle of transmissibility
3.9 Resultant of like and unlike parallel forces
3.10 Moment of forces about a point, Varigon’s Theorem
3.11 Moment of a couple, equivalent couples, composition of couples
3.12 Reduction of coplanar forces to a force or a couple
Unit 4: Friction
4.1 Dry friction and fluid friction
4.2 Laws of dry friction, coefficients of friction, angle of friction
4.3 Equilibrium of a particle on a rough inclined plane
4.4 Particle on a rough inclined plane acted on by an external force
4.5 Conditions for sliding or titling
Unit 5: Virtual Work
5.1 Principle of virtual work
5.2 Problems involving tensions and thrust
Students will be evaluated on the basis of following criteria.
1 Test 1 10
2 Test 2 10
3 Assignment 10
4 Attendance 5
5 Final Exams 65
6 Total 100
Thomas (2005).Calculus (11thed.). Boston: Addition Welsey publishing company.
Jafferson, Beasdsworth, B. (2001).T. Further mechanics. Oxford: Oxford University Press.
Joseph F, Shelly. (1990).Vector Mechanics. Pennsylvania Plaza New York City: Mc-Graw Hill Company.
Anand, D.K. &Cunnif, P.F. (1984).Statics and Dynamics. Boston: Allyn and Becon.
Ferdinand, P.B &Johnston. E. R. (1997). Statics and Dynamics. Pennsylvania Plaza New York City: Mc-Graw Hill Book Company.
Course Learning Outcomes
This course is intended to develop the student skills in solving 2-D and 3-D static equilibrium
problems for particles, rigid bodies and structures. The emphasis will be on 2-D and 3-D
rigid body equilibrium, analysis of trusses, frames and beams.
laws of dry friction
Equilibrium of a particle on a rough inclined plane
conditions for sliding or titling
Book Title : Calculus
Author : Thomas
Edition : 11
Publisher : Addition Welsey publishing company
Book Title : Vector Mechanics
Author : Joseph F, Shelly.
Edition : latest
Publisher : Mc-Graw Hill Company.
Book Title : Vector analysis
Author : Z.R Bhatti
Edition : 4th