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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: 

Basics

1a.

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

1b.

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

1c.

Code provisions, design by analysis, loading, etc.

Introduction to the theory of Plates

2a.

Plates loaded in their plane.  Governing equations and solutions

2b.

Fundamental equations of Plate bending 

2c.

Classical Solutions to plates with regular loading

                 -Rectangular and Circular plates

2d.

Engineering Applications

Special Topics in Plates

3a.

Introduction to plates with holes and other special considerations

3b.

Approximate and numerical solutions for plates

Introduction to the theory of Shells

4a.

Thin cylindrical shells

4b.

Membrane theory of shells

4c.

Applications of the membrane theory

4d.

Bending theory of shells

4e.

Beams on elastic foundation

4f.

Applications for shallow shells

4g.

Thermal and residual stresses

4h.

Applications:  spherical, torispherical, ellipsoidal and conical shells

Theory of Thick Cylinders

5a.

Basic relationships

5b.

Stress components and displacements

5c.

Partial or fully plastic cylinders, Failure

5d.

Residual stresses and Autofrettage

5e

Temperature effects

5f

Rotating discs

Limit Analysis

6a.

Background –limit theorems, beam limit loads, flow rules

6b.

Shake down, Melan’s theorem

6c.

Limit loads for plates

6d.

Limit loads for shells

Special Topics in Shells

7a.

Stress concentration, discontinuity, triaxiality, fatigue

7b.

Notches, reinforcement around openings

7c.

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

7d.

Engineering applications

Fitness-for-Service

8a.

Introduction to Remaining strength factors and Level 2 methods

8b.

Corrosion in cylinders and spherical shells

8c.

Hotspots in shells

 

 

Assessment Procedure: 

Course projects

25%  

Midterm Examination

30%

Final Examination

45%

 

References: 

 

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.