Elasticity Curriculum
Course basic information
| Course Code： | |
| Course Name： | Elasticity |
| Course categories： | Basic course subjects, Any elective Course |
| Specialized subject applied： | Mechanical Engineering |
| Course term： | the autumn term |
| Total class hours： | 32 hours |
| Total credit： | 2 |
| Prerequisite course（Code）： | higher mathematics（） mechanics of materials（） |
| Corequisite course（Code）： | |
| Course Introduction： | This course is a mechanical undergraduate courses more in-depth technical basis. Teaching tasks are: students learn to stress, strain and plane elasticity problems by understanding the differential equations of elasticity in all aspects of reference; know what is solution; learn a few simple answers; to master the basic formulation of thin plate, elements and equations. |
| Recommended teaching material： | Xu Zhilun．Concise Guide to Elasticity(Third Edition)．Beijing: Higher Education Press, 2002 |
| Reference books： |
Course objective
After this course study, students can
(1). grasp the basic concepts of stress, stress representation way, problems in the plane on an inclined plane method for finding the stress vector.
(2). master the engineering problem which can be used as the plane elasticity problem.
(3). control plane elasticity complete mathematical formulation.
(4). solute simple questions with Airy stress function; grasp what is the solution of elasticity problems.
(5). make ****yses correctly and use of force boundary conditions and the proper use of Saint-Venant principle.
(6). solute the problems impressed such as simply supported beams acted by the uniform load, with a **all hole in the plate under tension, the stress concentration, pressure cylinder.
(7). master the basic assumptions of thin sheet, its definition of internal force, familiar with the stress distribution; and use of sheet's various equations.
(8). solute the axisymmetric circular plate simply with a deep impression.
Course content and requirement
(1). Introduction (2 hours)
Object of study, characteristics, stress, strain and other basic concepts, the basic assumptions of elasticity are introduced.
(2). The basic theory of plane problems (8 hours)
Including the concept of two kinds of plane problems; balance equation; plane stress ****ysis; geometric equations; physics equation; boundary conditions; Saint-Venant principle; by displacement solving; by stress solving; compatibility equations.
(3). Cartesian method (6 hours)
Inverse solution method and the semi-inverse solution method; beam of pure bending; simply supported beam under uniform load; exercises course.
(4). Polar term and the solution (8 hours)
The balance equation in polar coordinates, compatibility equations and stress function, stress components and the relationship between the Cartesian components; axisymmetric stress and displacement; Park tube under uniform pressure; with Park Hole plate stress concentration.
(5). Space Introduction (2 hours)
All equation descriptions, inclined plane stress vector, the stress state of the main results.
(6). Plate (6 hours)
Plate bending concepts and basic assumptions; stress components that use deflection; plate bending force; elastic surface equation; basic boundary conditions; trigonometric series solution; circular plate bending equation; axisymmetric bending.
Asses**ent method
Open-book examination methods, about 90 minutes.
Asses**ent
Performance asses**ent system is to take two points. Final examination is account for 70%, 30% for usual experiments and exercises.