《Mechanics of Materials （<材料力學>全英文）》是北京理工大學提供的慕課課程，授課老師是劉劉。
基本介紹
課程大綱,參考教材,
課程大綱
01
Stress
To understand clearly:the concept of Mechanics of materials,the types of external forces, the types of supports,how to handle linear distributed loading, how to derive the equations of equilibrium, how to draw a free-body diagram,how to apply the method of sections to determine the internal forces, the concept of stress and the assumptions for the concept of stress,the general state of stress; how to determine the average normal stress in an axial loaded bar, the concept of average shear stress cases how to calculate the average shear stress in the material (single shear, double shear)the concept of the factor of safety, four cases for the required cross-section area with the important assumption and be familiar with the procedure to determine the required cross section area or dimensions.
課時
- Concept of Mechanics of Material 0.2
- Review of Statics 0.2
- Types of external loads 0.2
- How to determine the internal loading using the method of sections 0.5
- Equilibrium of a Deformable Body 0.5
- Stress 0.5
- Average Normal Stress in an Axially Loaded Bar 0.5
- Average Shear Stress 0.2
- Allowable Stress 0.2
02
Strain
To understand clearly: the concept of strain; normal strain, shear strain, the general state of strain and the assumption of small strain analysis
課時
- Deformation 0.5
- Strain 0.5
03
Mechanical Properties of Materials
To understand clearly:the concept of conventional stress-strain diagram;the concept of elastic behavior, yielding, strain hardening and necking for a ductile material, modulus of elasticity, E. offset method to determine the yield strength the concept of strain hardening, Ductile material & Brittle materials, Hooke’s law, the Poisson’s ratio, the shear modulus, G and the mathematical relationship between E, G and the Poisson’s ratio.
課時
- The Tension and Compression Test 0.5
- The Stress-Strain Diagram 1.0
- Stress-Strain Behavior of Ductile and Brittle Materials 0.5
- Hooke's Law 0.5
- Strain Energy 0.5
- Poisson's Ratio 0.5
- The Shear Stress-Strain Diagram 0.5
04
Axial Load
To understand clearly:the concept of Saint-Venant’s principle, how to determine the relative displacement between two points of an axial loaded member and the assumptions for the application of the equations.the principle of superposition and the conditions for the principle application and the concept of the statically indeterminate problem and how to solve it with compatibility conditions.
課時
- Saint-Venant's Principle 0.5
- Elastic Deformation of Axially Loaded Member 0.5
- Principle of Superposition 0.5
- Statically Indeterminate Axially Loaded Member 1
- The Force Method of Analysis for Axially Loaded Members 1
- Thermal Stress 1
05
Torsion
To understand clearly:the assumptions for a shaft with a circular cross section subjected to a torque. the shear strain varies linearly along any radial line;for linear elastic homogeneous material, the shear stress along any radial line of the shaft varies linearly from zero to a maximum at the outer boundary. the linear shear stress distribution is also distributed along an adjacent axial plane of the shaft. torsion formula for a circular cross-section and it is made of homogeneous material with a linear-elastic behavior.
課時
- Torsion Deformation of a Circular Shaft 0.5
- The Torsion Formula 1
- Power Transmission 0.5
- Angle of Twist 0.5
- Statically Indeterminate Torque-Loaded Members 1
06
Bending
To understand clearly:the concept of beams and assumptions;how to construct the shear and moment diagram for beams;the sign convection for positive shear and moment; the concept of beams and the boundary conditions;How to construct the shear and moment diagram for beams and the sign convection for positive shear and moment;the assumptions for the deformation of the beam;the normal strain and stress distribution at the cross section of the beam the flexure formula
課時
- Shear and Moment Diagrams 0.5
- Graphical Method for Constructing Shear and Moment 1
- Bending Deformation of a Straight Member 0.5
- The Flexure Formula 2
- Unsymmetric Bending 2
07
Transverse Shear
To understand clearly:the shear stress distribution in a beam having a prismatic cross section and made from homogeneous linear elastic material. a method to determine the shear stress distribution and shear flow along with shear stress for beams and thin-walled members
課時
- Shear in Straight Members 0.5
- The Shear Formula 1
- Shear Stresses in Beams 0.5
- Shear Flow in Built-up Members 1
- Shear Flow in Thin-walled Members 1
08
Combined Loadings
To understand clearly:the procedure to analyze the stress state of a point for a member, which is subjected to a combined loading.
課時
- Thin-Walled Vessels 0.5
- State of Stress Caused by Combined Loadings
09
Stress Transformation
To understand clearly:how to develop the transformation of the plane-stress components from one orientation of the coordinate system to another orientation how to determine principal stress and maximum in-plane shear stress at a point how to develop Mohr’s circle for analyzing stress components how to to determine Absolute maximum shear stress
課時
- Plane-Stress Transformation 0.5
- General Equations of Plane-Stress Transformation 0.5
- Principal Stresses and Maximum In-Plane Shear Stress 0.5
- Mohr's Circle 1
- Absolute Maximum Shear Stress 0.5
10
Deflections of Beams and Shafts
Object of the chapter is to introduce various method to determining the deflection and slope at specific points on beams and shafts including the Integration method (Analytical method) and the superposition method and how to solve statically indeterminate problems.
課時
- The Elastic Curve 0.5
- Slope and Displacement by Integration 1
- Method of Superposition 1
- Statically Indeterminate Beams and Shafts-Method of Superposition 2
11
Buckling of Columns
To understand:how to develop methods to calculate the critical loadand effect of different supports on the critical load
課時
- Critical Load 0.5
- Ideal Column with Pin Supports 1
- Columns Having Various Types of Supports 1
參考教材
R. C. Hibbeler, Mechanics of Materials, 5th ed., 2004, ISBN 978-7-04-014008-8.
James M. Gere, Stephen P. Timoshenko, 4th ed. 1997, ISBN 0-534-93429-3
Ferdinand P. Beer, E. Russell Johnston, Jr. John T. Dewolf, David F. Mazurek, 6th ed. 2012, ISBN 978-0-07-131439-8
