This course is to provide students with a clear and thorough presentation of both the theory and application of the fundamental principles of mechanics of materials. Understanding is based on explanation of the physical behaviour of material under load and then modeling this behaviour to develop the theory. Emphasis is placed on the importance of satisfying equilibrium, compatibility of deformation, and material behaviour requirements. The course covers the following topics including the important concepts of statics, a formal definition of both normal and shear stress, normal stress in axially loaded members, average shear stress caused by direct shear, the formal concept of strain, some important mechanical properties of materials, the mechanical behavior of structures under axial load, torsion and bending, a discussion of thin-walled tubes, shear flow, stress and strain transformation, Mohr's circle, deflections of beams and shafts and stability.
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Calculus, Theoretical Mechanics, Physics
Chapter 1: Stress
1.1 Review of statics, external forces, internal forces and the method of sections
1.2 The method of sections with examples
1.3 The stress
1.4 Allowable stress and the factor of safety
Review 1: The presentation-static, external force, method of sections, et. al.
Review 2: The presentation-Stress, et. al.
Review 3: The presentation-average shear stress and allowable stress
Powerpoints for Chapter 1
Solutions of exercises
The small quiz for Chapter 1
Homework assignments for Chapter 1
Chapter 2: Strain
2.1 Strain
Review 1: PowerPoint for chapter 2
Solutions of exercises
Homework assignment for Chapter 2
A small quiz for Chapter 2
Chapter 3: Mechanical Properties of Materials
3.1 The tension and compression test and the stress-strain diagram
3.2 Ductile material and brittle material
Review 1: Mechanical properties of materials
Review 2: PowerPoint of chapter 3
Solutions of exercises
A small quiz for Chapter 3
Homework assignments given in the textbook for Chapter 3
Chapter 4: An axial loaded member
4.1 Saint-Venant’s principle and the displacement
4.2 The principle of superposition and the statically indeterminate problem
4.3 The thermal stress and the stress on the inclined surface
Review: PowerPoint of chapter4
Solutions of exercises
Homework assignments for Chapter 4
A small quiz for Chapter 4
Chapter 5: Torsion
5.1 The concept of the torsion
5.2 Torsional formula
5.3 Angle of twist
5.4 The statically indeterminate shaft
Powerpoints for chapter5
Solutions of exercises
Homework assignments given in the textbook for Chapter 5
A small quiz for Chapter 5
Chapter 6: Bending
6.1 Shear and Moment Diagrams
6.2 Graphical Method for Constructing Shear and Moment Diagrams
6.3 Bending Deformation of a Straight Member
6.4 The Flexure Formula
6.5 Unsymmetric Bending
6.6 Partial solutions of the homework assignments for Chapter 6
Powerpoints for chapter6
Solutions of exercises
Homework assignment for Chapter 6
A small quiz for Chapter 6
Chapter 7: Transverse Shear
7.1 Shear in Straight Members and The Shear Formula
7.2 Shear Stresses in Beams
7.3 Shear Flow in Built-up Members
7.4 Shear Flow in Thin-Walled Members
7.5 Partial solutions of the homework assignments for Chapter 7
Powerpoints for chapter7
Solutions of exercises
A small quiz for Chapter 7
Chapter 8: Combined Loadings
8.1 Thin-walled Vessels
8.2 State of Stress Caused by Combined Loadings
8.3 Partial solutions of the homework assignments for Chapter 8
PowerPoint for chapter 8
Solutions of exercises
Homework assignments for Chapter 7 and 8
Chapter 9: Stress Transformation
9.1 General Equations of Plane-Stress Transformation
9.2 Principal Stresses and Maximum In-Plane Shear Stress
9.3 Mohr's Circle-Plane Stress
9.4 Absolute Maximum Shear stress
Powerpoints for chapter9
A quiz for Chapter 9
Chapter 12: Deflections of Beams and Shafts
12.1 The Elastic Curve
12.2 Slope and Displacement by Integration
12.3 Statically Indeterminate Beams ans Shafts-Method of Superposition
12.4 Examples in Chapter 12-part-I
12.4 Examples in Chapter 12-part-II
Powerpoints for chapter12
A quiz for Chapter 12
Chapter 13: Buckling of Columns
13.1 Critical load
13.2 Ideal Column with Pin Supports
13.3 Columns Having Various Types of Supports
Powerpoints for chapter13
A quiz for Chapter 13
1. Russell C. Hibbeler, Mechanics of Materials, 8th ed., 2013, ISBN 9787111444800
2. James M. Gere, Barry J. Goodno, Strength of Materials, 7th ed., 2019, ISBN 9787111350118
3. Thomas J.Lardner, An Introduction to the Mechanics of Solids, 2nd ed, 1978, ISBN 0-07-013441-3