CE Structural Analysis Department of Civil and Geological Engineering Fall 2012

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1 CE Structural Analysis Department of Civil and Geological Engineering Fall 2012 Instructor: Bruce Sparling ENG 3B34 Phone: Lectures: MWF 10:30 11:20am ENG 1B71 Tutorial: Th 14:30 16:20 ENG 2A23 (Epsilon Computer Lab) Website: Textbook: Structural Analysis, 8th edition, by R.C. Hibbeler, Pearson Prentice Hall, 2012, ISBN 10: X. Course notes to be posted on class web site It is the student s responsibility to print these notes prior to the appropriate lecture Assessment: Assignments 10% Laboratory 10% Midterm 25% Final Exam 55% Prerequisites: GE 213 Corequisites: None Description: Extending the concepts of static equilibrium, deformation relationships and geometric compatibility, this course covers basic methods used to estimate internal forces, reactions and deflections in 2D structures. Selected manual techniques are used to analyze both statically determinate and indeterminate structures of various forms, including beams, trusses and frames. Fundamental principles of the computer based stiffness method of analysis are developed and applied to 2D trusses and frames. An emphasis is placed on the application of basic analytical techniques, supplemented by the use of computer based verifications. CE 317 Course Outline August 23, 2012 Page 1 of 5

2 Detailed Course Outline: Topic 1. INTRODUCTION: BASIC CONCEPTS AND TERMINOLOGY 1.1. Overview 1.2. Equilibrium Requirements 1.3. Supports & Connectivity 1.4. Superposition of Load Effects 2. ANALYSIS OF STATICALLY DETERMINATE STRUCTURES 2.1. Determinacy and Stability 2.2. Gerber Girder Systems 2.3. Three Hinged Arches & Frames 3. ANALYSIS OF DETERMINATE TRUSSES 3.1. Trusses Overview 3.2. Basic Assumptions 3.3. Method of Joints 3.4. Method of Sections 3.5. Static Determinacy & Stability 4. INTERNAL LOAD EFFECTS IN FLEXURAL MEMBERS 4.1. Internal Load Effects 4.2. Shear & Moment Functions 4.3. Shear & Bending Moment Diagrams 4.4. Moment Diagrams by Parts 5. FLEXURAL DEFLECTIONS 5.1. Flexural Deflections Introduction 5.2. Double Integration Method 5.3. Conjugate Beam Method 5.4. Indeterminate Structural Analysis 6. TRUSS ANALYSIS USING THE STIFFNESS METHOD 6.1. Stiffness Method Overview 6.2. Stiffness Method Terminology 6.3. System Level Operations 6.4. Element Stiffness Matrix 6.5. System Stiffness Matrix 6.6. Example Truss Analysis 6.7. Assumptions & Limitations 7. PLANE FRAME ANALYSIS USING THE STIFFNESS METHOD 7.1. System Degrees of Freedom 7.2. Beam Element Stiffness Matrix 7.3. Frame Analysis Example 8. RESPONSE INFLUENCE LINES 8.1. Introduction 8.2. Influence Lines Determinate Structures 8.3. Load Effects Using Influence Lines 8.4. Qualitative Influence Lines Approximate Lecture Hours Assignments: There will be up to ten problem assignments throughout the term. These assignments are to be submitted by the specified due date; a penalty of 20% per day will be assessed for late assignment submission. Problems will be representative of typical expectations for exam questions. Solutions to the assignments will be made available. CE 317 Course Outline August 23, 2012 Page 2 of 5

3 Laboratory: Laboratory Time: Thursday, 2:30 5:30 p.m. Location: Epsilon (ε) computer lab (Rm 2A23) Laboratory Sections: Two sections, meeting on alternate weeks Laboratory Topics & Dates: Lab Description Section L01 Date Section L03 Computer analysis of 2D trusses & frames September 13 September 20 Computer analysis of a simple building September 27 October 4 Approximate analysis of frames October 11 October 18 Moment distribution method October 25 November 1 Introduction to Mathcad November 8 November 15 Stiffness method from basics (using Mathcad) November 22 November 29 All assigned laboratory work is mandatory. Failure to attend or to submit any of the labs will result in a final grade of less than 50% for the course unless alternate arrangements are specifically approved by the instructor. Exams: Midterm Exam: Wednesday, October 24, 7:00 9:00 p.m. Location: TBA Examination Policies: You must receive a grade of 50% or higher in at least one of the midterm or final exams in order to achieve a passing grade in this course. All exams will be closed book exams. No texts, notes or review sheets will be permitted. A formula sheet will be provided with the exam. The use of electronic devices, including calculators, with document storage and/or communication capabilities is prohibited during exams. Alternate times to write midterm examinations will not be considered except in the case of illness or a conflict with other university related activities. Alternate times to write final examinations cannot be accommodated. If a student misses a final exam, application must be made to the Engineering Student Centre to write a deferred exam. Students planning on registering with the office for Disability Services for Students (DSS) must do so in accordance with DSS procedures and deadlines. CE 317 Course Outline August 23, 2012 Page 3 of 5

4 Academic Dishonesty and Academic Appeals: Academic dishonesty will not be tolerated in this class. Work on all assignments, labs and exams must be independent and follow the guidelines set out in this syllabus or agreed to within class. Any confirmed misconduct will result in an assigned grade of 0 for the item being considered and a possible academic misconduct action being filed. For more information on what constitutes academic misconduct please consult the University Council document on academic misconduct ( For information regarding appeals of a final grade or other academic matters, please consult the University Council document on academic appeals ( Important Dates: Thurs., Sept. 6 Wed., Sept. 19 Fri., Oct. 5 Mon., Oct. 8 Wed., Oct. 24 Mon., Nov. 12 Thurs., Nov. 15 Wed., Dec. 5 First day of classes. Last day for making changes in registration for first term courses. Term 1 Break Day No classes Thanksgiving Day University closed MIDTERM EXAM (7:00 9:00pm) University closed (in lieu of Remembrance Day) Last day to drop first term courses without academic penalty Last day of classes. Learning Outcomes: 1. Students should be able to perform a static analysis of a two dimensional, statically determinate beam, truss or frame structure on an assignment or exam using the basic principles of static equilibrium. In order to do this, students should be able to perform the following tasks: a. Identify appropriate support and member connection conditions based on physical considerations; b. Draw complete free body diagrams of structural assemblies and components; c. Determine support reactions and member connection forces; and d. Determine resultant internal axial forces, shear forces and bending moments at specified locations on selected structural members. 2. Students should be able to describe internal shear and bending moment distributions in flexural members and assemblages both analytically and graphically, either manually on an assignment or exam, or using computer software in a lab. 3. Students should be able to estimate flexural deflections in statically determinate and indeterminate beams using analytical (double integration) and graphically based (conjugate beam) methods on an assignment or exam. 4. Students should be able to derive and formulate the required external force and system stiffness matrices required to analyze truss and frame structures using the stiffness method, both manually on an assignment or exam, or using computer software in a lab. 5. Students should be able to perform a static structural analysis of a two dimensional truss or frame structure to a variety of imposed load types using appropriate structural analysis software in a lab. 6. Students should be able to generate quantitative response influence lines for statically determinate structural assemblages from first principles and be able to use influence lines to calculate specific responses to patterned loading on an assignment or exam. In addition, students should be able to sketch qualitative influence lines for statically indeterminate beams and frames. CE 317 Course Outline August 23, 2012 Page 4 of 5

5 Attribute Mapping: Learning Outcome Level of Performance Attribute A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A Attributes: A1 A knowledge base for engineering A2 Problem analysis A3 Investigation A4 Design A5 Use of engineering tools A6 Individual and team work A7 Communication skills A8 Professionalism A9 Impact of engineering on society and the environment A10 Ethics and equity A11 Economics and project management A12 Life long learning Levels of Performance: 1 Knowledge of the skills/concepts/tools (S/C/T) but not needing to directly apply them to solve problems. 2 Application of the skills/concepts/tools to directed problems. ( Directed indicates that students are told what tools to use.) 3 Selecting and Using the skills/concepts/tools to solve nondirected, non open ended problems. (Students have a number of S/C/T to choose from and need to decide which to employ. Problems will have a definite solution.) 4 Problem Solving using the appropriate skills/concepts/tools for open ended problems. (Students have a number of S/C/T to choose from and need to decide which to employ. Problems will have multiple solution paths leading to possibly more than one acceptable solution.) Accreditation Unit (AU) Mapping: (% of total class AU) Complementary Engineering Engineering Math Natural Science Studies Science Design 100% Assessment Mapping: Component Weighting Methods of Feedback * Learning Outcomes Evaluated Assignments 10% S 1, 2, 3, 4, 6 Labs 10% F, S 1, 2, 4, 5 Midterm 25% F, S 1, 2, 3, 4, 6 Final 55% S 1, 2, 3, 4, 6 * Methods of Feedback: F formative (written comments and/or oral discussions) S summative (number grades) CE 317 Course Outline August 23, 2012 Page 5 of 5

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