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Special Topics- ENG 9925





Theory & Design of Mech. Comp. & Structures



Office: EN 3044 (S.J. Carew Bldg.)

Dr. Seshu M.R. Adluri


Lectures: 9:00-10:30 a.m. Tues &Thurs


Significance and Rationale:

Components such as cylinders, spheres, pipes, storage tanks, etc., are very common in several industries.  At present, the design is mainly by empirical methods based in part on simplified formulas.  Design by analysis is not practiced much and is not well understood by practitioners.  Rational design of components requires a good understanding of theories of beams, plates and shells, failures theories, different types of stress, stress classification, limit analysis, and many associated concepts such as hot spots, corrosion, remaining strength, etc. 


The material covered in the present course, is a continuation or extension of several topics covered in solid mechanics courses at undergraduate and graduate level.  It has long been observed that while the students learn powerful techniques such as the finite element method, they are sorely lacking in fundamental understanding of the behaviour of components.  Many have also forgotten the proper use of the material from the under graduate courses.  It is hoped that with this course, we will introduce the students to advanced topics within the solid mechanics area while also quickly reviewing the material that they should have learned to use intelligently.  While the course ENG 9520 is an introduction to the theory of elasticity, the present course includes topics that are generally not included in that course.  The approach is also somewhat different.


The topics may include pressure vessels, introduction to plates & shells, curved beams, thin‑walled members, torsion, buckling, plastic collapse loads for beams and plates, plasticity, etc.

The students are expected to have a good understanding of undergraduate concepts in solid mechanics (although a quick review is provided), and differential equations as well as some understanding of numerical techniques.  The course is intended to familiarize the students with the fundamental concepts, development of governing equations, their solution to standard cases, and special application areas.  The students usually learn the basics in undergraduate courses on Mechanics of Solids and design of components and structures.  Some advanced courses on graduate level Elasticity, Finite Elements, Dynamics, etc., normally skip over a vast number of practical applications.  This course aims at filling this gap.  As such the course is a combination of “Advanced Strength of Materials” and related design issues.   


This course should be of interest to Mechanical, Civil and Naval disciplines.  It has applications for power generation industry, chemical & petrochemical industries, pulp & paper industry and the entire range of structural engineering,.  It may be of interest to practicing engineers as well as graduate students. 



Course Outline: 



Short introduction and review of mechanics of solids.  May include brief review of tensors, fundamental equations of deformable bodies, stress‑strain and compatibility equations, multi-axial stresses


Review of failure theories and other solid mechanics concepts such as factors of safety


Code provisions, design by analysis, loading, etc.

Introduction to the theory of Plates


Plates loaded in their plane.  Governing equations and solutions


Fundamental equations of Plate bending 


Classical Solutions to plates with regular loading

                 -Rectangular and Circular plates


Engineering Applications

Special Topics in Plates


Introduction to plates with holes and other special considerations


Approximate and numerical solutions for plates

Introduction to the theory of Shells


Thin cylindrical shells


Membrane theory of shells


Applications of the membrane theory


Bending theory of shells


Beams on elastic foundation


Applications for shallow shells


Thermal and residual stresses


Applications:  spherical, torispherical, ellipsoidal and conical shells

Theory of Thick Cylinders


Basic relationships


Stress components and displacements


Partial or fully plastic cylinders, Failure


Residual stresses and Autofrettage


Temperature effects


Rotating discs

Limit Analysis


Background –limit theorems, beam limit loads, flow rules


Shake down, Melan’s theorem


Limit loads for plates


Limit loads for shells

Special Topics in Shells


Stress concentration, discontinuity, triaxiality, fatigue


Notches, reinforcement around openings


Rational design concepts, levels of stress, critique of code based methods


Engineering applications



Introduction to Remaining strength factors and Level 2 methods


Corrosion in cylinders and spherical shells


Hotspots in shells



Assessment Procedure: 

Course projects


Midterm Examination


Final Examination





Adluri, S.M.R. Class Notes on the Theory of Plates, MUN

ASME, 1998.  Boiler and Pressure Vessel Code, Section VIII, Div. 2

Boresi, A.P. and Richard J. Schmidt, 2003. Advanced Strength of Materials, 6th Ed., John Wiley & Sons, Inc.  

Burgreen, R. 1975. Design Methods for Power Plant Structures, C.P. Press

Cook, R.D. and Warren C. Young, 1999. Advanced Mechanics of Materials, 2nd Ed., Macmillan Publishing Co.

Donnell, L.H., 1976. Beams, Plates and Shells, McGraw-Hill

Flugge, W., 1990. Stresses in Shells, Springer

Harvey, J.F.  1991.  Theory and Design of Pressure Vessels, Springer

Jaeger, L.G. Elementary Theory of Elastic Plates, Pergamon Press

Jawad, M. & Farr, J.  1989.  Structural Analysis and Design of Process Equipment, Wiley & Sons.

Mansfield, E.H. 1989. The Bending and Stretching of Plates, Cambridge University Press

Salvadori, M.G. and M.L. Baron, 1967. Numerical Methods in Engineering, Prentice-Hall

Seshadri, R. Class Notes on Pressure Component Design, MUN

Seshadri R. and Shaw, W.J. 1990. Pressure Vessel Design, 3-day short course notes. 

Szilard, R. 1974. Theory and Analysis of Plates-Classical and Numerical Methods, Prentice Hall. 

Timoshenko, S.P. and S. Woinowsky‑Krieger, 1970.Theory Plates and Shells,” McGraw-Hill





















Legal stuff:

The MUN Faculty Association asked us to include the following in Legalese. J  So there! J


The lectures and displays (and all material) delivered or provided in this course, including any visual or audio recording thereof, are subject to copyright owned by the instructor for the course (Dr. Seshu Adluri).  Other copyrights may also be applicable. It is prohibited to record or copy by any means, in any format, openly or surreptitiously, in whole or in part, in the absence of express written permission from the instructor, Dr. Seshu Adluri any of the lectures, materials provided or published in any form during or from the above course.