Engineering mechanics is a professional basic course. It provides a necessary foundation for learning about the subsequent advanced professional courses. And it can be directly applied to solve many engineering problems in the field of aerospace, civil engineering, mechanical engineering, energy and power, etc.
This course introduces the fundamental concepts of mechanics, for example, force/rigid body/equilibrium/friction, stress/strain, strength/rigidity etc. It studies the resultant and decomposition of forces, the equilibrium conditions and equilibrium equation of force system, the friction laws, ans so on. And then this module develops concepts of stresses and strains in basic deformations and how they may be designed to provent failure. It deals with the strength conditions and rigidity conditions of components under tension/compression, shear, torsion and bending. It provide students with a clear and thorough presentation of the physical behaviour of materials under load and then modeling this behaviour to develop the theory.Corresponding applications for real-life design tasks are finally discussed to get insight into basic mechanics-based material selection criteria.
I. General requirements of Statics are to understand the basic concepts, basic theory, and basic method to solve the equilibrium problem of a particle, and a rigid body and rigid body system.
Requirements of each part:
a. Familiar with various of common constraints of simple body system, and drawing the free body diagram.
b. Understanding the concepts and charactors and calculation of the force, moment and force couple.
c. Mastering the method of simplification of all kinds of force system, and the calculating method of principal vector and principal moment of general force system. Mastering force equilibrium condition and equilibrium equations of all kinds of coplanar force system, and skilled application of solving equilibrium problems of single body and simple body system.
d. Understanding the concept and characteristics of sliding friction, and mastering how to solve balance problem when considering sliding friction.
II．The general requirements of materials mechanics: be able to classify, summarize and abstract mechanical models from practical engineering problems; understand the basic concepts of strength, rigidity and stability of members through the force analysis of members; and then have the ability to carry out strength analysis and design of structures.
a. Understanding the derivation of tensile normal stress formula, mastering the strength conditions of tensile and compressive bars; Understanding the concepts of elastic modulus, Poisson's ratio, tensile stiffness and the phenomenon of stress concentration.
b. Mastering the practical calculations of shear and bearing of connecting members, and carrying out strength analysis with the strength conditions of tension (compression), shear and bearing for connecting structures.
c. Understanding the derivation of formulas of shear stress and angle of twist when the circular shaft is in torsion, and mastering the calculation of strength and rigidity of the circular shaft in torsion.
d. Understanding the concepts of bending and plane bending, mastering the drawing of shear and bending moment diagrams; knowing the concepts of pure bending and transverse bending, mastering the derivation of formulas of bending normal stress and shear stress of beams and the distribution of stresses. And designing beams with strength condition and rigidity condition.
Advanced Mathematics，College Physics
Textbooks:
1. Zhang Juan, etc, Theoretical Mechanics 理论力学（英文版）第2版，Northwestern Polytechnical University Press, 2022.12
2. Zhang Yan, etc, Mechanics of Materials, Tsinghua Press, 2018.05
Reference Books:
1. Hibbler R C. Engineering Mechanics: Statics. 14th ed. Singapore: Pearson Prentice Hall, 2016
2. Zhi Xizhe,Theoretical Mechanics, Higher Education Press, 2017.05