Course Title: Mechanics of Materials
Course Attribute: Specialized Elective Course
Hours/credits: 40 hours/2 credits
Purpose and Requirements:
Through the study of this course the student should be able to:
(1) Understand the concept of stress, strain, stiffness, strength;
(2) Apply linear elastic material laws to calculate deformations of deformable bodies;
(3) Integrate deformable body concepts with static equilibrium to solve statically problems;
(4) Model simple bars and beams (axial loading, torsion, bending);
(5) Design a structural component including the concept of factor of safety;
(6) Interpret two dimensional stresses and strains;
(7) Calculate maximum normal/shear stresses and strains.
Course summary:
Chapter 1: Introduction (1 hour)
1-1 Task for the course of Mechanics of Materials
1-2 Basic assumptions for deformable bodies
1-3 External force and its types
1-4 Internal force, section method and concept of stress
1-5 Deformation and strain
1-6 Basic ways for beam deformation
Chapter 2: Tension, compression and shear (9 hours)
2-1Concepts and examples for axial tension and compression
2-2 Internal force and stress on the cross-section under axial tension and compression
2-3 Stress on an inclined plane for a straight bar under axial tension and compression
2-4 Mechanical properties of materials under tension
2-5 Mechanical properties of materials under compression
2-6Failure, factor of safety and strength calculation
2-7 Deformation under axial tension/compression
2-8 Strain energy under axial tension/compression
2-9 Thermal stress and initial stress after assembling
2-10Concept of stress concentration
Chapter 3: Torsion (5 hours)
3-1Concepts and examples of torsion
3-2 Calculation of torque and torque diagram under external couple moment
3-3Pure shear
3-4 Stress distribution in a circular rod under torsion
3-5 Deformation and twist angle in a circular rod under torsion
3-6 Concept of torsion in a non-circular bar
3-7 Free torsion in a thin-walled tube
Chapter4: Beam bending: internal force (4 hours)
4-1 Concepts and examples of bending
4-2 Simplification of bending beams
4-3 Shear force and bending moment
4-4 Equations and diagrams for shear force and bending moment
4-5 Relationship of external loading, shear force and bending moment
Chapter 5: Beam bending: internal stress (4 hours)
5-1 Pure bending
5-2 Normal stress under pure bending
5-3 Normal stress under nonuniform bending
5-4 Shear stress under bending
5-5 Basic assumptions for bending theory
5-6 Strategies for improving bending strength
Chapter 6: Beam bending: deflection and deformation (5 hours)
6-1 Problems of bending deformation in engineering applications
6-2 Differential equation for deflection curve
6-3 Calculation of bending deformation by integration method
6-4 Calculation of bending deformation by superposition method
6-5 Strategies for improving bending stiffness
Chapter 7: Analysis of stress and strain, Hooke's law and failure criteria
7-1 Concepts of stress state
7-2 Examples of plane-stress state and triaxial-stress state
7-3 Analysis of plane-stress state: analytic method
7-4 Analysis of plane-stress state: method using Mohr's circle
7-5 Triaxial-stress state
7-6 Components of displacement and strain
7-7 Analysis of plane-strain state
7-8 Generalized Hooke's law
7-9 Four common failure criteria
Chapter 8: Combined deformation (4 hours)
8-1 Combined deformation and superposition theory
8-2 Combined deformation by tension/compression and bending
8-3 Eccentric tension/compression and core of cross section
8-4 Combined deformation by torsion and bending
Text book: James M. Gere and Barry J. Goodno, Mechanics of Materials, seventh edition, Cengage learning
Grading: Homework & quiz (20%) + Midterm exam (30%) + Final exam (50%)
