Beijing University of Chemical Technology
《mechanics of materials》Syllabus
Course Information
Engineering Learning Goals and Objectives
1．Grasping the basic concepts on deformation, fundamental theorem, and knowing the ****ysis, calculation methods for members with various loading.
2．Grasping how to draw the diagram of internal force of members under basic deformation, as well as calculation methods and formula for strength, stiffness.
3．Grasp the concepts of stress state and methods of ****ysis for complex stress condition, also 4 classical strength theories.
4．Grasp the methods of calculating for members under combined deformation.
5．Grasp the concepts of energy principle in solid mechanics, and knowing how to calculate the displacement with energy methods.
6．Grasping the solving methods for statically indeterminate problem, and can solve statically indeterminate to the first degree of members skillful.
7．Understanding the concepts of stability of column, and know the judgment for pressure lever and their relate calculation.
8. Grasp the calculation methods for dynamic loading.
9. Grasp the concepts of alternative stress and fatigue limit.
10．Grasp the experiment technique for mechanics of materials, and be able to use the instrument and equipment properly, collect the experimental data accurately, also can properly design the experiments for solving the practical problems through referring to the manuals, reference books, as well as other information source.
Course Content and Requirements
1．Basic concepts on mechanics of materials (3 hours)
The task of mechanics of materials; strength, stiffness, stability; fundamental assumption of deformable body; loading and its classification. External force, internal force, stress, displacement and strain; basic deformations of members.
2．Tension and compression (9 hours)
The concepts and examples of axial loading, internal force and stress on the cross sections in the case of axial loading; mechanical properties of materials；factor of safety , allowable stress and strength condition; deformations of member under axial loading, Hooke’s law, poisson’s ratio, strain energy, statically indeterminate of member under axial loading, thermal stresses and assembly stress; stress concentrations; shear and bearing.
3．Torsion (4 hours)
Introduction, moment of couple, pure shear, theorem of conjugate shear stress、shearing Hooke’s law in shear； torque and torque diagram； stresses in a circular shaft, strength condition； deformation in a circular shaft、stiffness condition, statically indeterminate shaft； stresses and deformation of spring； torsion of noncircular members。
4． properties of plane areas（2 hours）
first moment of an area and centroid； moment of inertia、radius of gyration、product of inertia； parallel-axis theorem； determination of the moment of inertia of a composite area。
5．bending（14 hours）
A internal forces
Introduction； shear force and bending moment； shear force and bending moment diagrams；relationships between load, shear force and bending moment。
B stresses of beams
The normal stress in pure bending；the normal stress in bending by transverse force、the strength condition of normal stress； the strength condition of shear stress of bending.
C deformation of beams
deflection and slope rotation angle of beams； differential equation of the deflection curve；deflection of beams by integration； deflection of beams by superposition；stiffness condition of beams； statically indeterminate beams。
6． ****ysis of stress and strain, theories of strength（6 hours）
General state of stress, principal stress, principal plane; the ****ysis of state of plane stress; Mohr’s circle to the two-dimensional ****ysis of stress, the maximum shear stress; ****ysis of strain under plane stress; generalized Hooke’s law, volume strain；strain energy density, distortional energy density；4 theories of strength in the engineering use.
7． deformation under combined loadings（4 hours）
Introduction；symmetrical beams with skew loads；the stress under axial and bending loads； the stress under torque and bending loads.
8．Energy methods（6 hours）
The calculation of strain energy of members, the general expression of strain energy; castigliano’s theorem; unit-load method for calculating displacement; reciprocal theorems。
9．Statically indeterminate structures（4 hours）
Introduction；force method; utilization of characteristic of symmetric and antisymmetric structures
10． dynamic loadings（4 hours）
The application of d'Alembert's principle；the calculation of stress and deformation with members subjected to impact loads；impact toughness。
11． Alternating stress（4 hours）
alternating stress and fatigue failure； cycle specificity ,alternating stress amplitude, mean stress； fatigue limit of materials； fatigue limit of members； fatigue strength of members under reversed alternative stress。
12．stability of columns（4 hours）
Introduction；critical load for pin-ended columns； extension of critical loads to column with other end conditions； critical stresses； the scope of application of Euler’s formula、empirical formula for columns；check ****ysis of columns with axial loads.
the contents and requirements of experiments
1）The tensile and compression tests of materials（2 hours）
The tensile and compression tests of low-carbon steel and cast iron; the torsion test of low-carbon steel and cast iron; the experiment techniques for understanding mechanical properties of materials; understanding the destroy causes of typical materials.
2）measurement of normal stress of pure bending beam（2 hours）
Understand the principle and experimental method for measurements of strain by resistance strain gages, and validate the theoretical conclusion.
3）measurement of strain by strain rosette under combined loadings（2 hours）
Understand the methods of strain rosette in the state of complex stress, and ****yze the experimental results.
Assignment
There are assignments every week, the assignments for this week will be assigned and the assignments for last week will be collected.
The assignments occupy 20 % of the final grade, the proportion of late or not to hand in them can be larger than 30 %, otherwise it will affect the final grade.
Each student is expected to work hard on the assignments, it is very helpful for grasping the contents of the course and to have the good grades in quizzes or final exam, the problems in the assignments could appear in the tests.
Evaluation Approaches
The final exam is close-book, within 120minutes.
The evaluation for experiments is based on the performance of the experiments report and results of the spot check from the experiments.
Asses**ent System
Final grades: 80%
Assignments: 20%
| Course Code： | MEE22700E |
| Course Name(in Chinese)： | 材料力学 |
| Course Name(in English)： | Mechanics of materials |
| Course Category： | |
| Target Studendts： | Process equipment &control engineering; Safety engineering; Mechanical & automatization |
| Term Avaiable： | 4 |
| Total Credit Hours： | 72 |
| Total Credits： | 4.5 |
| Prerequisites（Course Code）： | Advanced math; Physics; Theoretical mechanics; |
| Parallels（Course Code）： | Mechanical principle |
| Course Descriptions： | The mechanics of materials is an important basic branch of the deformable body mechanics, a basic skilled course which provides theoretical principles for designing the real engineering component, also a course which integrates the theory with practice. The task is to study the deformation and stress the mechanical bar under various loads. Through participating this course, make students grasp the methods that abstract the real engineering components to the mechanics model; grasp internal forces of rod, stress, the basic principles and methods of the deformation distribution; grasp the theories and calculation for the strength, stiffness, stability of bar; with skilled ability to calculate and experimental capabilities; prepare a solid foundation for the study of follow up related courses, the design of mechanical component and scientific research, also training the capacity of component ****ysis, computation and experiments. |
| Textbooks Recommended： | 刘鸿文．材料力学．（第四版上、下）．北京：高等教育出版社，2003 |
| Supplementary Materials: | [1] James M. Gere, Mechanics of materials（3th edition，英文影印版）．Beijing：mechanical engineering press，2003 [2] Ferdinand P.Beer ,E.Russell Johnston,Jr. John T. Dewolf Mechanics of materials（5th edition，英文影印版）．北京：清华大学出版社 [3]William A.Nash, 材料力学理论与习题（第四版，英文影印版）．北京：清华大学出版社，2003 [4]单辉祖．材料力学．北京：高等教育出版社，1999 [5]孙训方等．材料力学（第三版）．北京：高等教育出版社，2001 |
Engineering Learning Goals and Objectives
1．Grasping the basic concepts on deformation, fundamental theorem, and knowing the ****ysis, calculation methods for members with various loading.
2．Grasping how to draw the diagram of internal force of members under basic deformation, as well as calculation methods and formula for strength, stiffness.
3．Grasp the concepts of stress state and methods of ****ysis for complex stress condition, also 4 classical strength theories.
4．Grasp the methods of calculating for members under combined deformation.
5．Grasp the concepts of energy principle in solid mechanics, and knowing how to calculate the displacement with energy methods.
6．Grasping the solving methods for statically indeterminate problem, and can solve statically indeterminate to the first degree of members skillful.
7．Understanding the concepts of stability of column, and know the judgment for pressure lever and their relate calculation.
8. Grasp the calculation methods for dynamic loading.
9. Grasp the concepts of alternative stress and fatigue limit.
10．Grasp the experiment technique for mechanics of materials, and be able to use the instrument and equipment properly, collect the experimental data accurately, also can properly design the experiments for solving the practical problems through referring to the manuals, reference books, as well as other information source.
Course Content and Requirements
1．Basic concepts on mechanics of materials (3 hours)
The task of mechanics of materials; strength, stiffness, stability; fundamental assumption of deformable body; loading and its classification. External force, internal force, stress, displacement and strain; basic deformations of members.
2．Tension and compression (9 hours)
The concepts and examples of axial loading, internal force and stress on the cross sections in the case of axial loading; mechanical properties of materials；factor of safety , allowable stress and strength condition; deformations of member under axial loading, Hooke’s law, poisson’s ratio, strain energy, statically indeterminate of member under axial loading, thermal stresses and assembly stress; stress concentrations; shear and bearing.
3．Torsion (4 hours)
Introduction, moment of couple, pure shear, theorem of conjugate shear stress、shearing Hooke’s law in shear； torque and torque diagram； stresses in a circular shaft, strength condition； deformation in a circular shaft、stiffness condition, statically indeterminate shaft； stresses and deformation of spring； torsion of noncircular members。
4． properties of plane areas（2 hours）
first moment of an area and centroid； moment of inertia、radius of gyration、product of inertia； parallel-axis theorem； determination of the moment of inertia of a composite area。
5．bending（14 hours）
A internal forces
Introduction； shear force and bending moment； shear force and bending moment diagrams；relationships between load, shear force and bending moment。
B stresses of beams
The normal stress in pure bending；the normal stress in bending by transverse force、the strength condition of normal stress； the strength condition of shear stress of bending.
C deformation of beams
deflection and slope rotation angle of beams； differential equation of the deflection curve；deflection of beams by integration； deflection of beams by superposition；stiffness condition of beams； statically indeterminate beams。
6． ****ysis of stress and strain, theories of strength（6 hours）
General state of stress, principal stress, principal plane; the ****ysis of state of plane stress; Mohr’s circle to the two-dimensional ****ysis of stress, the maximum shear stress; ****ysis of strain under plane stress; generalized Hooke’s law, volume strain；strain energy density, distortional energy density；4 theories of strength in the engineering use.
7． deformation under combined loadings（4 hours）
Introduction；symmetrical beams with skew loads；the stress under axial and bending loads； the stress under torque and bending loads.
8．Energy methods（6 hours）
The calculation of strain energy of members, the general expression of strain energy; castigliano’s theorem; unit-load method for calculating displacement; reciprocal theorems。
9．Statically indeterminate structures（4 hours）
Introduction；force method; utilization of characteristic of symmetric and antisymmetric structures
10． dynamic loadings（4 hours）
The application of d'Alembert's principle；the calculation of stress and deformation with members subjected to impact loads；impact toughness。
11． Alternating stress（4 hours）
alternating stress and fatigue failure； cycle specificity ,alternating stress amplitude, mean stress； fatigue limit of materials； fatigue limit of members； fatigue strength of members under reversed alternative stress。
12．stability of columns（4 hours）
Introduction；critical load for pin-ended columns； extension of critical loads to column with other end conditions； critical stresses； the scope of application of Euler’s formula、empirical formula for columns；check ****ysis of columns with axial loads.
the contents and requirements of experiments
1）The tensile and compression tests of materials（2 hours）
The tensile and compression tests of low-carbon steel and cast iron; the torsion test of low-carbon steel and cast iron; the experiment techniques for understanding mechanical properties of materials; understanding the destroy causes of typical materials.
2）measurement of normal stress of pure bending beam（2 hours）
Understand the principle and experimental method for measurements of strain by resistance strain gages, and validate the theoretical conclusion.
3）measurement of strain by strain rosette under combined loadings（2 hours）
Understand the methods of strain rosette in the state of complex stress, and ****yze the experimental results.
Assignment
There are assignments every week, the assignments for this week will be assigned and the assignments for last week will be collected.
The assignments occupy 20 % of the final grade, the proportion of late or not to hand in them can be larger than 30 %, otherwise it will affect the final grade.
Each student is expected to work hard on the assignments, it is very helpful for grasping the contents of the course and to have the good grades in quizzes or final exam, the problems in the assignments could appear in the tests.
Evaluation Approaches
The final exam is close-book, within 120minutes.
The evaluation for experiments is based on the performance of the experiments report and results of the spot check from the experiments.
Final grades: 80%
Assignments: 20%