Mechanics of Solids (3 Credits)
固体力学
Instructor
Shaker A. Meguid Mech and Ind Eng Dept, University of Toronto (meguid@mie.utoronto.ca)
Description
This is an introductory course in solid mechanics. It consists of studying the behaviour of structural
members and machine components under applied loading and applying that knowledge to analyze
real engineering problems. The applied loads can be axial or transverse forces, twisting torques,
bending moments and combinations thereof. These loads, which are transmitted through structural
members and machine components via internal stresses, lead to deformations/deflections of these
components. Both elastic and elasto-plastic deformations are studied. The course further considers
complex stress system and stress transformation under plane loading conditions and emphasizes the
use of failure criteria in the design process. Both strength and rigidity calculations are considered
through out the course and concepts are examined using assignments and experimental mechanics.
Offering
2013 Summer Semester
Audience
Year 2 Undergraduate Students
Classroom
Room 2, Teaching Bldg. No. XX, Peking University
Frequency
July 1–31, 2013: 10-12 PM, M-F
Objectives
Topics
Additional
Info
To develop skills in treating new structures involving mechanical loading, identifying the critical parameters
that govern the behaviour of the structure, and making engineering assumptions that would ultimately
lead to realistic stress and displacement solutions for the structure. Students will learn to derive and use a
comprehensive list of stress analysis formulas, to clearly document solution procedures, and assess the
realism of their answers.
1.
2.
3.
4.
5.
6.
Project
Project
Deadlines
Grading
Total: 100%
7. Principal Stresses and Principal Strains
8. Yield and Failure Criteria
9. Circular and Spherical Pressure Vessels
10. Deflection of Beams
11. Statically Indeterminate Structures & Thermal
Loading
Extensive visual aids are typically used to demonstrate complex concepts and aid in visualizing these topics
and the underlying concepts. The course is further supported by a number of projects that are revised
annually. Examples of these projects include the failure analysis of:
(a)
(b)
(c)
(d)
Textbook
Axial loading of members
Elasto-Plastic Torsion
Torsion of Noncircular Sections
Elasto-Plastic Bending of Beams
Shearing Stresses in Beams
Transformation of Stress and Strain States
Dovetail regions in compressor disc assembly of GTEs,
A stringer in the fuselage of a commercial airliner,
A large marine gear as a result of overload, and
Brittle fracture of a pressure vessel.
Mechanics of Materials, F.B. Beer, R. Johnston & J.T. DeWolf, McGraw-Hill Engineering, 6th Ed, 2011.
The project consists of synthesis, modelling and analysis of one of the above stated projects. Students are
assigned these projects in the first lecture and are asked to validate their hypotheses by conducting finite
element modeling, photoelastic stress analysis, strain gauge measurements, mechanical testing, and
imaging of the fracture surfaces. Students are to work in teams of four assigned by the instructor. The work
should be evenly divided and team members will in general receive the same project grade. All papers
should provide a review of the current literature and discuss the results of their finite element model of
the particular topic under review validated by photoelasticity and strain gauge experimental stress analysis.
Each team will submit a written report not exceeding 10 pages.
Literature Review: 1st Week
Finite Element Model: 2nd Week
Final: 40%
Midterm: 20%
Photoelasticity & Strain Gauges: 3rd Week
Final Report: 4th Week
Assignments: 10%
Project: 30%