Plates and Shells
Course facts
- Payment: Free, no certificate
- Credits: Non Credit
- Learning style: Self-paced, start anytime
- Resources: Exams; Problem Sets
MIT OpenCourseWare details
- As taught in: Spring 2007
- Department: Mechanical Engineering, Aeronautics and Astronautics
| Course Details | ||||||
|---|---|---|---|---|---|---|
|
||||||
| Outcomes | ||||||
|
||||||
| Price & Terms | ||||||
|
||||||
| Technical | ||||||
|
||||||
| Specification | ||||||
|
||||||
Bending and buckling of plates and shells, structural plasticity and crashworthiness, with applications to ships and offshore structures.
Ship hulls, offshore structures and crash-absorbing vehicle parts all depend on how thin structures bend, buckle and crush. This half-term course derives elastic and plastic stress-strain relations for plate and shell elements, then treats nonlinear geometric effects and the post-buckling strength of stiffened panels used in naval architecture. Later lectures apply the theory to cylindrical shells, crashworthiness, and explosive and impact loading.
What You Will Achieve
- Derive plate equilibrium equations through a variational principle
- Calculate buckling of rectangular plates and stiffened panels
- Analyze elastic buckling of cylindrical shells
- Estimate energy absorption and crashworthiness of prismatic tubes
Program Overview
Plate Bending
Governing equations and solutions for plates.
- Strain-displacement relation
- Selected bending solutions
- Moderately large deflection of elastic plates
Buckling of Plates and Shells
When and how thin structures lose stability.
- Rayleigh-Ritz quotient
- Cold-formed sections and stiffened plates
- Ultimate strength of plates
- Cylindrical shells
Plasticity and Crashworthiness
Permanent deformation and absorbing energy.
- Limit analysis of simple plastic structures
- Energy absorption of prismatic tubes
- Propagating buckles in pipelines
- Collision and grounding of ships
Course Completion
Job Outlook
These methods apply to structural work on ships, offshore structures, pipelines and vehicles designed for crashworthiness.
Good for: Mechanical and ocean engineering students who want structural mechanics of thin plates and shells with real failure applications.
Keep in mind: Published materials are five homework sets, a self-test and a final quiz, with no lecture notes or solutions listed. There is no required text, so you would learn from the recommended books.
Bottom line: A focused topic plan and problem collection on plates and shells, best used with a good reference book.
Frequently Asked Questions
Is there a textbook?
None is required. Ugural's Stresses in Plates and Shells is the recommended reference, with Shames and Dym, and Timoshenko and Woinowsky-Krieger, as supplementary texts.
What can I use to test myself?
A self-test and the final quiz from 2006 are published, along with five homework assignments. Solutions are not listed.
What real-world applications appear?
Lectures cover vehicle crashworthiness, offshore structures, propagating buckles in pipelines, and cutting and denting of plates in the collision and grounding of ships.
User Reviews
Write your review
You must be logged in to post a review.
Reviews can only be posted by registered learners. Log in or create a free account, then you will return here to post.
There are no reviews yet.