Course Syllabus for CIVL 2110 STATICS Spring

Transcription

1 Course Syllabus for CIVL 2110 STATICS Spring Instructor: Dr. Ilias DIMITRAKOPOULOS room: 3583 tel: : office hours Wed, Fri: 11:00-12:00 Lectures: Wed, Fri 16:30-18:00 Room 2406 (L1) Tutorial: Thu 18:00 18:50 Room 2406 (T1) Credits: 3 What is this course about? This is a required course, for civil engineering students and a necessary background for structural analysis and design. It is thus a prerequisite course, for CIVL 2120 (Mechanics of Materials) and CIVL 4330 (Introduction to Structural Dynamics). It is an engineering statics, and introductory engineering dynamics, course. The purpose of the course is to introduce the fundamental, and indispensable for (professional) structural engineers, principles of static analysis of (simple) structures. In particular, the course focuses on how to apply Newton's laws to engineering problems and how to state the force equilibrium, the kinematics and the kinetics of particles and rigid bodies. Also, free-body diagrams, static analysis of simple structures (trusses and frames) and computation of axial force, shear force and bending moment diagrams are taught. Equally important, if not more, the course is also an opportunity for the students to build an intuition for statics and the way archetypal structures balance under simple loads. Prerequisite and co-requisite skills Formal pre-requisite course requirements: A passing grade in AL Pure Mathematics/AL Applied Mathematics OR PHYS 1112 OR PHYS Or, Co-requisite course requirements: MATH 1014 OR MATH 1020 OR MATH Exclusion: CIVL 2150

2 It is assumed that students are familiar with the basic notions of geometry, algebra, trigonometry, differentiation and integration taught in high-school mathematics. Some of these topics are briefly reviewed. A good background on freshman physics and linear algebra helps but any material required is presented in a self-contained manner. Vector dot and cross products are central for this course, and hence they are introduced from scratch with emphasis on application of mechanics. Computer usage is welcomed, but not required. Learning Outcomes At the end of this course the student should have the ability to: 1. Identify the differences between archetypal structures and types of loading 2. Classify a physical problem as a statics problem (if feasible) and idealize it into a model (free-body diagram) 3. State Newton s laws for the derived model and examine its stability 4. Perform a (linear elastic) static analysis technique on a determinant structure, like a truss or a frame 5. Calculate and sketch an axial force, shear force and bending moment diagram of a frame In the above described outcomes, it has been implicitly assumed that by the end of this course you are familiar with the terminology used in it (e.g. determinant structure, truss, frame, bending moment etc.). Learning Process There will be two lectures each week, lasting approximately 1h and 2o minutes each. Lecture notes will be provided the day before each lecture. These lecture notes will be in an incomplete form; the most important points of the lectures will be missing. Students are expected to fill in the missing (crucial) parts themselves during the class. The lecture notes are supplementary to the textbook of the course. Throughout the course the students will be able to put theory into practice by participating in the solutions of example problems (in class) and by working on assignments (out-of-class). In addition, tutorials will be given each week according with the time schedule.

3 Advice: If you miss a class you are advised to seek the material taught that day (e.g. in form of class notes) from a class-mate. Assessment Assessment serves two purposes: to help the student achieve the learning outcomes and to produce evidence of that learning. Please refer to the assessment rubric at the end of this document to get an idea of what you are expected to achieve in this course. To successfully complete the course, you need to perform at least on the Competent level for all Components of the course. On the other hand, if you find yourself performing on Exemplary level for all components of this course, it is practically guaranteed that you are going to get a good grade. You are advised to use this rubric to monitor and check your own progress. Course Grading: Assignments+ Quizzes: 15% Midterm: 35% Final Exam: 50% Textbook Hibbeler R.C. Engineering Mechanics, Statics: 13th edition in SI Units, Pearson Education, References Beer F.P., Johnston E.R., Mazurek D. & Eisenberg E.R. Vector Mechanics for Engineers: Statics, edition in SI Units, McGraw-Hill, 2010.

4 Class Schedule Session Topic Assignments 1 Course goals and class rules 2 Introduction to Mechanics, Vectors, Forces, Moments 3 Statics of Particles (Forces in Plane and in Space) 4 Scalar Product: properties & applications HW1 5 Vector Product: properties & applications (Moment of a Force about a Point) 6 Mixed Triple Product (Moment of a Force about an Axis) 7 Moment of a Couple 8 Equivalent Systems,Systems at Equilibrium 9 Equilibrium of a Rigid Body in 2D HW2 10 Properly supported Structures, Stable Structures in 2D, Simple Beams 11 2-force System, 3-force System 12 Equilibrium of a Rigid Body in 3D 13 Trusses, The method of Joints Hw3 14 Trusses, The method of Sections 15 Distributed Forces: Centroids and Centers of Gravity Mid-term Axial Force, Shear Force and Bending Moment Diagrams HW4 22 Moments of Inertia HW5 23 Recap 24 Moments of Inertia, Mohr s Circle 25 Hydrostatic forces, Friction

5 Assessment Rubric for Statics Ratings Components Exemplary (5) Competent (3) Needs Work (1) define the problem: Idealize a physical problem forming a free-body diagram Understands completely the applicability and the limitations of the key assumptions of engineering statics and idealizes correctly a physical problem into a model, i.e. to create a correct free-body diagram with a clear indication of all forces acting on each structure and the nature of each force. Understands partially the key assumptions of engineering statics (different types of supports, structures etc) and idealizes a physical problem into a model, e.g. a correct free-body diagram if the physical problem is not complex. Does not understand the key assumptions of engineering statics and cannot idealize a physical problem into a model, e.g. a correct free-body diagram solve the problem: Application (of the basic laws equilibrium) Is able to convert the model of the physical problem into the optimum system of equations. Can minimize the size of the mathematical system or is able to choose the most appropriate methodology for the problem at hand. Can provide original solutions when the standard approaches do not work. Is able to convert the model of the physical problem into a system of equations. When faced with a problem for which the use of the standard approaches does not work, cannot proceed with the formation of the mathematical system. Is not able to convert the model of the physical problem into a consistent system of equations. solve the problem: Conduct analysis and perform numerical calculations Shows competency in handling units (conversion, consistency etc.), in performing numerical calculations and adopts the required engineering accuracy to report the results. Can calculate and sketch correctly and timely an axial force, shear force and bending moment diagram. Can calculate and sketch correctly an axial force, shear force and bending moment diagram. Sometimes is perplexed with conversion of units or numerical calculations resulting in minor errors. Cannot calculate and sketch correctly an axial force, shear force and bending moment diagram. Is perplexed with conversion of units or numerical calculations. assess the procedure: Outcome prediction and evaluation Foresees the static behaviour of a structure (e.g. the signs of axial forces for a given loading) and the order of magnitude of the results (e.g. bending moments). Interprets the results of the analysis using physical arguments and exemplifies the meaning of the basic laws (e.g. Newton s laws of motion). Tests for errors in reasoning or calculation when feasible. Cannot foresee the expected results of the analysis. Is uncertain of the physical meaning of the results and can only explain them partially using physical arguments. Cannot foresee the expected results of the analysis. Cannot explain the results or describe the physical phenomenon. Does not test for errors in reasoning or calculation.