Plates and Shells

Course Info

Course Number/Code: 16.230J (Spring 2007)
Course Title: Plates and Shells
Course Level: Graduate
Offered By: Massachusetts Institute of Technology (MIT)
Department: Mechanical Engineering
Course Instructor(s): Prof. Tomasz Wierzbicki
Course Introduction:

This page includes a calendar of lecture topics.


There is no required text for this course. However, the following three books are recommended:

Reference Text

Ugural, A. C. Stresses in Plates and Shells. 2nd ed. New York, NY: McGraw-Hill, 1998. ISBN: 9780070657694.

Supplementary Texts

Shames, Irving H., and Clive L. Dym. Energy and Finite Element Methods in Structural Mechanics: SI Units. Raton, FL: CRC, 1996. ISBN: 9780891169420.

Timoshenko, Stephen P., and S. Woinowsky-Krieger. Theory of Plates and Shells. 2nd ed. New York, NY: McGraw-Hill Companies, 1959. ISBN: 9780070647794.

Grading PolicyGrading criteria.ACTIVITIESPERCENTAGESHomework40%Mid-term self-quizNot gradedFinal quiz40%Class participation20%CalendarCourse calendar.Lec #TOPICSKEY DATES1Preliminary, index notation, strain-displacement relation for continuum and plates2Derivation of plate equilibrium equation and boundary conditions through variational principle3Selected bending solutions for plate problems4Theory of moderately large deflection of elastic plates5Example problem with axi-symmetric plate/membrane6Buckling of plates, general formulationHomework 1 due7Buckling of rectangular plates8Raleigh-Ritz quotient for plate buckling9Buckling of cold-formed section and stiffened platesHomework 2 due10Self-evaluation by a mini-quiz in the first half an hourSelf-quiz due11Discussion of the mini-quiz12Ultimate strength of plates and elastic/plastic bucklingHomework 3 due13Elastic buckling of cylindrical shells (1)14Elastic buckling of cylindrical shells (2)15Fundamentals of structural plasticityHomework 4 due16Limit analysis of simple plastic structures17Energy absorption and crashworthiness of prismatic tubes18Local denting analysis of tubes and propagating buckles in pipelinesHomework 5 due 1 day before Lec #1819Cutting and denting of plates with application to collision and grounding of ships20Final quizFinal quiz in-class portion dueFinal quiz take-home portion due 3 days after Lec #20