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.
At the end of this course, the students should be able to:
1. Perform equilibrium analysis of coplanar force systems to solve for unknown reactions in composite bodies.
2. Analyze the velocities and accelerations of a point or any point in a rigid body by composite motion of a point, theorem for projection of velocities, base point method and instantaneous center for velocities.
3. Perform the kinematic analysis of particles or rigid bodies by the principle of impulse and momentum, principle of work and kinetic energy, and D’Alembert’s principle.
4. Solve statically indeterminate problems for axially loaded members.
5. Plot internal force diagrams for a beam in bending.
6. Perform stress or strain analysis and strength check for members under combined deformation.
01 Reductions of force systems
1.3 Support reactions and free-body diagrams
Tests for week 1
1.4 Reductions and resultants of force systems
1.2 Basic operations with force systems
1.1 Fundamental concepts of statics
Introduction
Introduction
02 Equilibrium of force systems
2.3 Plane truss analysis
2.2 Equilibrium of composite bodies
Tests for week 2
2.1 Coplanar equilibrium equations
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
5.2 Composite motion of a point (II)
5.1 Composite motion of a point (I)
Tests for week 3
06 Plane motion of rigid bodies
6.1 Plane motion of rigid bodies
6.2 Plane motion analysis (I)
Tests for week 4
6.3 Plane motion analysis (II)
07 Kinetics of a particle
7.1 Kinetics of a particle
08 Principle of impulse and momentum
8.2 Principle of impulse and momentum (II)
8.1 Principle of impulse and momentum (I)
Test for week 5
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
Test for week 6
11 D'Alembert's principle
Test for week 7
11.1 D'Alembert's principle
12 Stress
12.2 Stress
12.4 Average shear stress
12.3 Average normal stress in an axially loaded bar
12.1 Equilibrium of a deformable body
12.5 Allowable stress
13 Strain
Test for week 8
13 Strain
15 Axial load
15.4 Thermal stress, the stress on the inclined surface
15.1 Saint-Venant's Principle, Elastic deformation of an axially loaded member
15.2 Elastic deformation of an axially loaded member (continued)
Test for week 9
15.5 Stress concentration
15.3 Principle of superposition, Statically indeterminate axially loaded member
14 Mechanical properties of materials
14.2 The stress-strain diagram
14.3 Stress-strain behavior of ductile and brittle materials
14.1 The tension and compression test
14.4 Hooke's law, Poisson's ratio, the shear stress- strain diagram
17 Bending
17.2 Graphical method for constructing shear and moment diagrams
Test for week 10
17.3 Bending deformation of a straight member
17.1 Shear and moment diagrams
17.4 The flexure formula
16 Torsion
16.3 Angle of twist
16.1 Torsional deformation of a circular shaft
16.2 The torsion formula
16.4 Statically indeterminate torque-loaded members
18 Transverse shear
18.1 Shear in straight members, the shear formula
18.2 Shear stresses in beams
19 Combined loadings
19.2 State of stresses caused by combined loadings
Test for week 11
19.1 Thin-walled pressure vessels
21 Deflections of beams and shafts
21.1 The elastic curve
21.2 Slope and displacement by integration
21.3 Method of superposition, statically indeterminate beams and shafts
Test for Week 12
20 Stress transformation
20.3 Mohr's circle-plane stress
20.1 Plane-stress transformation
20.4 Absolute maximum shear stress
20.2 Principal stresses and maximum in-plane shear stress
Advanced Mathematics
1. Luan Xifu, Zhang Tao and Zhao Chunxiang. Theoretical Mechanics, 1st ed. Harbin Institute of Technology Press, 2007.
2. Hibbeler RC. Engineering Mechanics (Statics), 10th ed. Hoboken Pearson, 2004.
3. Hibbeler RC. Engineering Mechanics (Dynamics), 10th ed. Hoboken Pearson, 2004.
4. Hibbeler RC. Mechanics of Materials, 5th ed. Hoboken Pearson, 2004.