Engineering Mechanics is a theoretical fundamental course for engineering specialties. This course is intended to provide students with a clear and thorough picture of both the theory and application of the principles in theoretical mechanics and mechanics of materials. Theoretical mechanics includes three parts: statics, kinematics and kinetics, which mainly studies the general laws of equilibrium or motion of rigid bodies. Mechanics of materials deals with the stress-strain states and strength conditions of components under tension/compression, shear, torsion, bending or combined deformation. This course will provide the necessary mechanics knowledge for the follow-up course studies in engineering specialties. After the study of this course, students are expected to be able to use the basic concepts and theories of mechanics to analyze and solve simple problems in engineering application. Another goal of this course is to effectively train students' logic thinking skills and improve their comprehensive quality.
Overview
Syllabus
- Introduction
- 01 Reductions of force systems
- 1.1 Fundamental concepts of statics
- 1.2 Basic operations with force systems
- 1.3 Support reactions and free-body diagrams
- 1.4 Reductions and Resultants of Force Systems
- 02 Equilibrium of force systems
- 2.1 Coplanar Equilibrium Equations
- 2.2 Equilibrium of composite bodies
- 2.3 Plane truss analysis
- 2.4 Center of gravity and centroid
- 2.5 Friction
- 03 Kinematics of a point
- 3.1 Kinematics of a point
- 04 Translation and rotation of rigid bodies
- 4.1 Translation and rotation of rigid bodies
- 05 Composite motion of a point
- 5.1 Composite motion of a point (I)
- 5.2 Composite motion of a point (II)
- 06 Plane motion of rigid bodies
- 6.1 Plane motion of rigid bodies
- 6.2 Plane motion analysis (I)
- 6.3 Plane motion analysis (II)
- 07 Kinetics of a particle
- 7.1 Kinetics of a particle
- 08 Principle of impulse and momentum
- 8.1 Principle of impulse and momentum (I)
- 8.2 Principle of impulse and momentum (II)
- 09 Principle of angular impulse and momentum
- 9.1 Mass moment of inertia
- 9.2. Principle of angular impulse and momentum
- 10 Principle of work and kinetic energy
- 10.1 Principle of work and kinetic energy
- 11 D'Alembert's principle
- 11.1 D'Alembert's principle
- 12 Stress
- 12.1 Equilibrium of a deformable body
- 12.2 Stress
- 12.3 Average normal stress in an axially loaded bar
- 12.4 Average shear stress
- 12.5 Allowable stress
- 13 Strain
- 13.1 Strain
- 14 Mechanical properties of materials
- 14.1 Tension and compression tests
- 14.2 Stress-strain diagram
- 14.3 Stress-strain behavior of ductile and brittle materials
- 14.4 Hooke's law, Poisson's ratio, the shear stress- strain diagram
- 15 Axial load
- 15.1 Saint-Venant's principle, elastic deformation of an axially loaded member
- 15.2 Elastic deformation of an axially loaded member (continued)
- 15.3 Principle of superposition, statically indeterminate axially loaded member
- 15.4 Thermal stress, the stress on the inclined surface
- 15.5 Stress concentration
- 16 Torsion
- 16.1 Torsional deformation of a circular shaft
- 16.2 Torsion formula
- 16.3 Angle of twist
- 16.4 Statically indeterminate torque-loaded members
- 17 Bending
- 17.1 Shear and moment diagrams
- 17.2 Graphical method for constructing shear and moment diagrams
- 17.3 Bending deformation of a straight member
- 17.4 Flexure formula
- 18 Transverse shear
- 18.1 Shear in straight members, the shear formula
- 18.2 Shear stresses in beams
- 19 Combined loadings
- 19.1 Thin-walled pressure vessels
- 19.2 State of stresses caused by combined loadings
- 20 Stress transformation
- 20.1 Plane-stress transformation
- 20.2 Principal stresses and maximum in-plane shear stress
- 20.3 Mohr's circle-plane stress
- 20.4 Absolute maximum shear stress
- 21 Deflections of beams and shafts
- 21.1 Elastic curve
- 21.2 Slope and displacement by integration
- 21.3 Method of superposition, statically indeterminate beams and shafts
- Final exam
Taught by
Guangyan LIU
