Department of Civil Engineering
University of San Carlos
Nasipit, Talamban, Cebu City
SYLLABUS
Course Information Course No.: Course Title: Credit Units: Pre‐requisites: Term: Schedule: COURSE DETAILS Course Description Teacher Information
Name:
Andre‐Paul C. Ampong
Office:
MWF 10:30AM‐12:00PM; TTh 8:30AM‐9:30AM; S 9:30AM‐10:30AM Civil Engineering Department
Contacts: apcampong@usc.edu.ph
ES 18 Engineering Mechanics (Mechanics of Rigid Bodies)
5 EM 211 & Phys 31 nd
2 Semester 2012‐2013 M‐F 9:30‐10:30AM Phone: Engineering Mechanics is broadly divided into statics of rigid bodies and dynamics of rigid bodies. Statics covers topics in finding the resultant of force systems, equilibrium of force systems and their application in the analysis of structures. The first part of the course also covers static friction, centroids and centers of gravity, and moments of inertia of areas. Dynamics includes kinetics of motion, kinematics of motion, impulse and momentum. 1. To develop in the student the ability to relate principles and fundamental laws to engineering related problems.
2. To develop in the students analytical skills in solving engineering related problems. 3. To arouse the students’ interest in extending the study of Mechanics. Course Objectives Course Outcomes (CO)
Upon completion of the course students should be able to: CO 1: Understand stress and classify the different types CO 2: Understand the stress‐strain diagram and its application
CO 3: Understand deformation and its effects on objects and structures
CO 4: Understand torsion and its effects on objects and structures
CO 5: Understand shear and bending moments in beams CO 6: Apply the theories of mechanics in analyzing the internal effects of forces on deformable bodies and in solving problems CO 7: Apply to real‐life situations the theories of mechanics
Course Structure TOPICS Introduction • What is mechanics? • Fundamental concepts and principles o Characteristics of a force o Types of force systems o Components of a force o Forces as Cartesian vectors • Units and numerical accuracies Time Allocation Teaching & Learning Activities 1
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Targeted Program Outcomes (PO)
Introduction (I), Reinforce (R), Emphasize (E)
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Targeted COs 9
10
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Assessment Scheme 2 hours
The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. At the end of the discussion, students are can do the following • Define mechanics • Describe forces in terms of their characteristics • Resolve forces in to (rectangular) components • Express forces as Cartesian vectors • Identify types of force systems 11
Exams Statics of particles • Non‐vector analysis (Forces in two dimensions) o Resultant of forces o Equilibrium of forces • Vector analysis (Forces in three dimensions) o Resultant of forces o Equilibrium of forces Statics of rigid bodies • Moment of a force o Principle of transmissibility o Varignon’s theorem • Non‐vector analysis of moments • Vector analysis of moments o Vector product of two vectors o Moment about a point o Moment about an axis • Moment of a couple o Equivalent couples o Reduction of force systems to a force and a moment about a point • Resultant of parallel force systems • Resultant of non‐concurrent force systems • Free‐body diagrams and supports • Equilibrium of rigid bodies o Equilibrium in two dimensions o Equilibrium in three dimensions Analysis of structures • Truss o Method of joints o Method of sections • Frames (Method of members) 10 hours
The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. At the end of the discussions (and other activities), students can do the following: • Find the resultant of forces acting on a particle both in two and in three dimensions • Evaluate concurrent force systems (2D and 3D) that are in equilibrium Exams The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. At the end of the discussions (and other activities), students can do the following: • Define moment • Determine the moment produced by a force about a point • Determine the moment produced by a force about an axis • Define couple • Determine the moment of a couple • Identify equivalent couples • Reduce force systems to a force and a couple about a point • Find the resultant of parallel force systems • Find the resultant of non‐concurrent force systems • Identify and evaluate different supports • Evaluate parallel and concurrent force systems in equilibrium Exams The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. At the end of the discussions (and other activities), students can do the following: • Differentiate trusses from frames • Analyze trusses and find the forces in their members using the method of joints • Analyze trusses and find the forces in their members using the method of sections • Analyze frames and find the forces in their joints using the method of members At the end of the discussions (and other activities), students understands the concept and applications of friction Exams At the end of the activities, students can locate the centroid or center of gravity by integration and by composite figures Exams
21 hours
10 hours
Friction* 5 hours
Centroids and centers of gravity 5 hours
The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. Exams
Moments of inertia 5 hours
Dynamics of rigid bodies • Kinematics • Kinetics • Impulse and momentum 10 hours
Educational Resources The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. The main teaching activity is a series of discussions. Learning activities include seatworks or short quizzes before or after each discussion. At the end of the activities, students can determine the moment of inertia of areas by integration and by composite figures Exams
At the end of the activities, students should be able to solve problems relating to the geometry of motion that is the relation between displacement, velocity, acceleration, and time Exams
Material
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Vector mechanics for engineers by Beer, Johnston and Eisenberg Engineering mechanics: Statics by R.C. Hibbeler Engineering mechanics: Statics by Merriam and Kraige Engineering mechanics by Singer Articles NA Software NA Course Requirements Evaluation & Grading Policy Seatworks and/or short quizzes are given once a week on average.
Major Tests: Q1 (Introduction; statics of particles) – November 26, 2012 (Monday) Q2 (Statics of rigid bodies; moment of a force) – December 14, 2012 (Friday) Q3 (Equilibrium of rigid bodies) – January 25, 2013 (Friday; Midterms schedule) Q4 (Analysis of structures) – February 8, 2013 (Friday) Q5 (Friction) – February 15, 2013 (Friday) Q6 (Centroids and moments of inertia) – March 1, 2013 (Friday) Grades are computed using the following system:
Midterm Grade = Average of all tests before within th e midterm period
Final Grade = 0.15 × ( A + SH) + 0.75 × Q Ave
Course Policies A+SH = Attendance, Seatwork, Homework QAve = Average of all (announced/major) tests A student who obtains a final rating below 50% is considered to have failed in the course. 1. All tests shall have the same weight. Tests shall be announced. Missed tests may be taken only when the reason for missing is valid.
2. Major exams may have bonus problems to answer. 3. Students who have incurred absences of more than 10% of the total number of recitation days shall not be allowed to take special exams.