720-B19: Continuum Mechanics- Spring 1998

Instructor:

Prof. Sridhar Krishnaswamy

323 Catalysis Building

Tel: 1-4006

email: s-krishnaswamy@nwu.edu

Office Hours: immediately after class or by appointment (email me)

Lecture Hours:

MTWF 1.00pm

Grading:

Option I: 10%: Homework + 25% Midterm + 65% Final

Option II: 10%: Homework 0%: Midterm exam + 90%: Final Exam

Just so that no one is out of the game halfway due to a poor midterm score, you can choose to have your course grade based almost entirely on the final exam. You will individually choose the method of grading after you have taken the final but before it is handed in for grading. However, option II is available to you only if you have taken the midterm and handed in at least 80% of the homework assignments!

Course Policy:

Homework assignments will be handed out on Fridays and are due by start of class the following Friday. Homework assignments are absolutely essential to understanding the material. I encourage you to discuss homework problems in groups. However, be sure that you can solve the homework problems separately and individually.

There will be a one-hour midterm exam and a two-hour final exam. Makeup midterm or final exams will follow university policy (i.e., provide a really valid excuse for missing the regular exam as verified by the Office of the Associate Dean for Undergraduate Affairs). During the exams, you may use class notes and handouts, as well as any other handwritten material that you have personally prepared for the course. Do not use any printed or photocopied material from texts or someone else's notes.

References:

There is no text for the course.

Reference material will be available at the Science & Engineering Library Reserve Desk.

Course lecture notes and other supplementary material will be available through this web page: http://www.cqe.nwu.edu/Personnel/SKrishnaswamy/B19/B19.html

Announcements:

Course Content and Lecture Notes

These notes are for the personal use of B19 students only. Usual copyright stipulations apply.

Use Acrobat Reader 3.0 or better to view on screen or to print out the pdf files.

A. INTRODUCTORY MATERIAL

Hooke's experiment
Axial stretching of rods and cables
Systems of rods
Statically indeterminate systems
Multiaxial state of stress and strain
Continuum mechanics approach to stretching of rods
The Orbital Tower

B. CONTINUUM MECHANICS PRINCIPLES

Characterization of internal forces

The stress tensor
Conservation of momenta - equations of motion of a continuum

Characterization of geometry of deformation of a solid

Displacements
The strain tensor
Compatibility of deformation

C. MECHANICS OF SOLIDS

Linear elastic material response
Theory of elasticity

Plane stress and plane strain problems:

Hole in a plate
Pipe under pressure

Bernoulli-Euler theory of bending of beams

D. MECHANICS OF FLUIDS

Fluid Statics:

Incompressible fluid statics: stratified liquids; manometers
Compressible fluid statics: the US standard atmosphere

Fluid Motion:

Eulerian velocity and acceleration
Material Time derivative

Conservation of mass
Newtonian fluid material response
Navier-Stokes equations

Plane potential flows:

Uniform flow, sources, sinks, doublets, vortices
Flows: past a circular cylinder; a Rankine half-body; near walls

Viscous Flows:

Laminar flows in channels