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Engineering: 5312

 

Mechanics of Solids II

Dr. Seshu M.R. Adluri

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

Contact: 11:00-12:50 Monday

 

Rationale:

 

The course gives an insight into the bending and axial deformation characteristics of mechanical and structural components such as beams, columns, trusses, frames, etc. Continuing from the earlier course on the stress/strain response of structural elements, the course will seek to introduce the theory and application of several important principles for the failure of materials, estimation of deformations, use of energy methods, etc. Emphasis will be on the basic requirement of satisfying force equilibrium, compatibility of deformation, and material behaviour. The laboratory experiments give a physical introduction to the behaviour of elements when subjected to loads that deform them.

 

COURSE OUTLINE:

 

1. Stress Transformation (Chapter 9 - Review)

2. Strain Transformation (Chapter 10)

2.1 Plane Strain (Review)

2.2 Equations of Plane Strain Transformation (Review)

2.2.1 Principal strains (Review)

2.2.2 Maximum in-plane shear strain (Review)

2.3 Mohr's Circle for Plane Strain (Review)

2.4 Absolute Maximum Shear Strain

2.5 Strain Gauge Rosettes

2.6 Material Property Relationships

2.7 Theories of Failure

2.7.1 Ductile materials

2.7.2 Brittle materials

3. Deflection of Beams and Shafts (Chapter 12)

3.1 Elastic Curve

3.2 Slope and Displacement of Statically Determinate Beams and Shafts

3.2.1 Integration method

3.2.1 Discontinuity functions

3.2.1 Moment-Area method

3.2.1 Method of superposition

3.3 Slope and Displacement of Statically Indeterminate Beams and Shafts

3.3.1 Integration method

3.3.1 Moment-Area method

3.3.1 Method of superposition

4. Buckling of Columns (Chapter 13)

4.1 Critical Load

4.1.1 Ideal column with pin supports

4.1.2 Fixed and pinned supports

4.2 Secant Formula (optional)

5. Energy Methods (Chapter 14)

5.1 External Work and Strain Energy

5.1.1 Work of a force

5.1.2 Work of a couple

5.1.3 Strain energy

5.2 Strain Energy for Different Loadings

5.2.1 Axial load

5.2.2 Bending moment

5.2.3 Transverse shear

5.2.3 Torsional moment

5.3 Conservation of Energy

5.4 Impact Loading

5.5 Virtual Work

5.6 Castigliano's Theorem

 

The topics above may be supplemented with other topics from the textbook or additional information.

 

Laboratory Experiments

There will be four laboratory exercises involving beams. Each experiment will be set up in the Structures Lab Room 1033. Each group will arrange with the Technician to schedule their use of the equipment.

 

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Deflections of a steel beam

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Deflections of a wood beam

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Buckling of columns

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Deformation of a model truss

 

 

 

Textbook

 

Mechanics of Materials by R.C. Hibbeler, Prentice Hall, New Jersey, USA

 

Course Evaluation.

 

Assignments and Labs

15%

Mid term test

25% (Feb. 27)

Final Examination

60%

Total

100%

 

ASSIGNMENT 2

 

 

 

 

 

 

 

Student marks for class work
(if there are any discrepancies with the marks, etc., please orally inform the instructor immediately after the final exam is over –in the exam hall itself, and resolve the matter immediately.  Not doing so would mean the marks as posted are taken to be correct.)

 

 

NOTE

Comprehensive examples will be discussed primarily during tutorials. During tutorials, the students may be required to solve the problems in class to gain practice.

Please note that prewritten solutions may or may not be available for the assignments.  However, the tutorial immediately following the return of each marked assignment is allotted for discussing the relevant solutions.  At that time, if the students ask for it, the problems can be discussed and may even be solved in class.  If the students do not raise their need for discussion of the problems, the time will be spent on solving other problems.  The same policy holds for midterm exams and quizzes, if any.

The students are expected to solve the assignment problems by themselves in order to reinforce the class instruction.  Please refer to copying policy of the University if there is any doubt.  Help with the assignment problems can be sought during contact hours and/or tutorial time. 

Warning:  If the students are unable to draw proper Free Body Diagrams, Bending Moment and Shear Force Diagrams, the relevant questions may be marked zero even if the rest of the solution is partly or wholly correct.  The same applies for using and clearly stating the correct units in any given problem.  If the student fails in this, the relevant questions may be marked as zero. 

 

 

Exam policy: The formula sheet policy is as per the announcement in the class.  All or a subset of the following will be provided in the exam sheet.  It is the same as that from the front flaps of the book.  No extra text or notes are permitted in the exam.  IPODS, Blackberries, MP3 players, or other electronic storage/retrieval devices are not permitted in the exam.  Please see the appropriate guidelines from the University regarding such matters. 

Exam formula sheet 

 

 

 

 

 

 

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.