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TEACHING PROGRAMMEOFENGINEERING MECHANICS(理论力学(双语课)教学大纲)2006.9TEACHING PROGRAMME OFENGINEERING MECHANICS(理论力学(双语课)教学大纲)Note Words: Important Teaching Point (教学重点 abbr : ITP)Difficult Teaching Point (教学难点 abbr : DTP)Our intention in teaching ENGINEERING MECHANICS is to provide a thorough, rigorous presentation of mechanics, augmented with proven learning techniques for the benefit of student. Our first objective is to present the topics thoroughly and directly, allowing fundamental principles to emerge through applications to real-world problems. We emphasize concepts, derivations, and interpretations of the general principles, and we discuss the applicability and limitations of each principle. We illustrate that general rules frequently have exceptions; however, we do not dwell on these to the extent that they become a distraction. Our second objective is unique. We have attempted to integrate learning principles and teaching techniques that improve students ability to grasp and absorb concepts. In general, texts in engineering mechanics focus exclusively on the technical principles, with no structure to increase student comprehension. The integrated use of learning aids in this book is based on our experience that students can be taught effective study habits while they learn mechanics.Each chapter is organized around the SQ3R study-reading method. This structured approach to reading directs the student to:develop a global view of the course material one section or chapter at a time; organize the material into manageable pieces and read each pieces and read each piece for content and comprehension, and review the material as a coherent whole.1 REVIEW OF CONCEPTS IN MECHANICS(1) Define the science of mechanics and briefly outline its history. 1(2) Identify and distinguish between systems composed of particles and those composed of rigid bodies. (3) State and discuss the laws that govern Newtonian mechanics. ITP2 FORCES AND OTHER VECTOR QUANTITIES(1) List and describe the characteristics of a force. ITP(2) Identify different types of forces, including concentrated, distributed, and body forces. ITP(3) Recognize when forces are concurrent, collinear, and/or coplanar. (4) Use the concept of action-reaction to classify a force as an internal or external force for a given system. ITP(5) Determine the resultant of a system of two or more forces using either graphical or trigonometric methods. ITP(6) Resolve a force into its components along a specified set of axes. ITP DTP(7) Determine the components of a vector with respect to an arbitrary rectangular Cartesian coordinate system. ITP(8) Manipulate vectors using their rectangular Cartesianprojections. (9) Represent and manipulate vectors using their direction cosines.3 EQUILIBRIUM OF A PARTICLE(1) Explain the two interpretations of particle equilibrium. (2) Write the equations of equilibrium for a particle in terms of either force projections or force components. ITP(3) Draw an accurate free-body diagram of a particle. ITP DTP(4) Solve the equations of equilibrium for a particle to determine the unknown quantities, with the aid of a free-body diagram. ITP DTP(5) Classify a system as statically determinate or statically indeterminate. (6) Correctly represent contact forces, body forces, and support reactions in a free-body diagram. ITP DTP(7) Understand the concept of a rigid body. ITP(8) Recognize a two-force member in a system. Use the2concept of two-force members to help solve equilibrium problems. ITP DTP(9) Understand the applications and the limitations of the principle of transmissibility. ITP DTP(10) Draw an accurate free-body diagram of a rigid body. ITP DTP(11) Recognize when a rigid body is subject to a system of concurrent forces. ITP(12) Apply the equations of equilibrium to solve problems involving a rigid body subjected to a system of concurrent forces. ITP4 TWO-DIMENSIONAL FORCES, COUPLES, AND RIGIDBODY EQUILIBRIUM(1) Define moment of a force and moment arm. ITP(2) Determine the moment of a force about an axis normal to plane containing the force. ITP DTP(3) Determine the moment of several coplanar forces about any point in their plane. ITP(4) Determine the resultant force and the resultant axis for a system of coplanar forces. ITP DTP(5) Determine the characteristics of a couple. ITP(6) Determine the moment and the sense of a couple. ITP(7) Determine the resultant of system of coplanar couples. ITP DTP(8) Replace a force acting at one point with an equivalent force acting at a different point and a compensation couple. ITP DTP(9) Write and solve equations of equilibrium for a rigid body subjected to coplanar forces. ITP(10) Write and solve equations of equilibrium for a rigid body subjected coplanar forces using two independent moment equations and one force equation or using tree independent moment equations. ITP DTP(11) Write and solve equations of equilibrium for a rigid body subjected to noncoplanar parallel forces. ITP5 THREE-DIMENSIONAL FORCES, COUPLES, ANDRIGIDBODY EQUILIBRIUM(1) Calculate the moment of a force about a point. ITP3(2) Calculate the moment of a force about an axis. ITP(3) Determine the resultant of a system of couples. ITP(4) Using the vector product to determine the couple of two forces. ITP DTP(5) Draw an accurate free-body diagram of a rigid body subjected to a system of forces, couples , and support conditions. ITP DTP(6) Write and solve a system of equilibrium equations for a rigid body subjected to a system of forces and couples. ITP DTP6 SIMPLE STRUCTURES AND MACHINES(1) Determine the support reactions and member forces for asimple plane frame. ITP DTP7 CENTER OF GRAVITY, CENTROIDS, AND DISTRIBUTED FORCES(1) Locate the gravity axis for a body in a particular orientation. ITP(2) Locate the center of gravity of a body using moments of weight. ITP(3) Locate the center of gravity of a body by integration of moments of weight. ITP DTP(4) Locate the center of gravity or the centroid of a compositebody. ITP DTP(5) Determine the magnitude and line of action of resultant ofdistributed force system on a line or a plane area. ITP8 FRICTION(1) Describe the basic characteristics of the frictional force acting between bodies in contact. ITP(2) Perform an experiment to determine the coefficient of static friction for two surfaces in contact. ITP(3) Solve statically determinate problems that include friction between surfaces in contact. ITP(4) Analyze the behavior of simple machines that utilize the effects of friction. ITP DTP(5) Analyze the performance of a friction clutch or brake. DTP49 INTRODUCTION TO DYNAMICS, KINEMATICS OF PARTILES(1) Distinguish between kinematics and kinetics. ITP(2) Describe how Newtons lows of motion apply to the study ofdynamics. (3) Name the fundamental units of measure used in kinematics. ITP(4) Represent position, velocity, and acceleration of a particle in three-dimensions. ITP(5) Manipulate the vector form of the kinematic relations for a particle. ITP DTP(6) Write the kinematic relations for rotation of a line. ITP(7) Recognize when kinematic constraints on motion exist, and write the corresponding constraint equations. ITP(8) Express acceleration of a particle moving on a plane curve in terms of the geometry of the curve. ITP DTP(9) Take the time derivative of a vector quantity. (10) Express acceleration of a particle in terms of the unit vectors normal and tangent to the path of the particle. ITP DTP(11) Describe the motion of a particle relative to an arbitrary reference frame whose motion is known. ITP DTP10 KINETICS OF PARTICLES(1) Apply Newtons law of gravitation to determine the gravitational attraction between any two objects. ITP(2) Distinguish between and properly use values for weight and the mass of an object. (3) Describe the relationship between Newtons first and second laws of motion.(4) Write the equations of motion for a particle in terms of tangential and normal components. ITP DTP(5) Define a Newtonian reference frame that is appropriate for studying the motion of a given system. ITP(6) Apply Newtons second law to the motion of a particle or a system of particles. ITP(7) Use the inertial-force method to write the equations of motion for a particle or a system of particles. ITP11 MOMENTUM PRICIPLES FOR PARTICLES5(1) Calculate the momentum of a moving particle. ITP(2) Calculate the impulse of a force that acts on a moving particle. ITP DTP(3) Determine when conservation of momentum applies to a system. ITP(4) Use conservation of momentum to solve problems involving of particles. ITP(5) Locate the center of mass of a system of particles. ITP DTP(6) Use conservation of momentum and center of mass concepts to solveproblems involving systems of particles. ITP(7) Write the expression for the moment of momentum of a particle about a point. ITP(8) Use the conservation of angular momentum to solve problems involving the motion of particles. ITP DTP(9) Apply the law of moment of momentum to a system of particles in a moving reference frame. ITP DTP12 KINEMATICS OF RIGID BODIES(1) Describe the displacement of a rigid body in terms of a rotation about an axis. ITP(2) Determine absolute and apparent displacements of particles in a system that undergoes plane motion. ITP(3) Describe the various elements of plane motion of a rigid body. (4) Determine the velocity of a particle in a rigid body that undergoes plane motion. ITP(5) Use the concept of instantaneous center of velocity to solve problems of plane motion of rigid bodies. ITP DTP(6) Find the acceleration of any particle in a rigidbody system that executes plane motion. ITP DTP13 PLANE KINEMATICS OF RIGID BODIES(1) Describe the motion of a translating rigid body that is subjected to external forces. ITP(2) Use the inertial-force method to write and solve the equations of motion for a translating rigid body. ITP(3) Determine the mass motion of inertial for a variety of simple bodies. ITP6(4) Write and solve the equations of motion for a rigid body exhibiting plane motion. ITP DTP(5) Apply the inertial-force method with inertial couples to analyze the plane motion of a rigid body. ITP(6) Use the concept of centrifugal force to characterize the motion of a body that rotates about a fixed axis. ITP DTP14 ENERGY AND MOMENTUM PRINCIPLES AND PLANE MOTION OF RIGID BODIES(1) Find the work performed by a couple on a rigid body that undergoes plane motion. ITP(2) Extend the principles involving work of a force on a

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