Instructional Package Spring 2012 EGR STATICS. 1 P age

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1 EGR STATICS 1 P age

2 Course Prefix: EGR 190 Course Title: Statics Contact Hours: 3.0 Credit Hours: 3.0 Lecture: 3.0 Lab: 0 Rationale for this Course: This course is intended to provide many of the prerequisite skills required in CET 242. Course Description: This course is a study of forces and the effect of forces acting on bodies in equilibrium without motion. Emphasis is placed on construction of free body diagrams and the calculation for reactions within static force systems. Prerequisites: MAT 101 or COMPASS course sufficient for enrollment in MAT 101. Required Materials: Textbook: Statics and Strength of Materials Latest Edition Cheng Glencoe Pocket Calculator with simple trigonometric functions (Sine, Cosine, and Tangent) included Technical Requirements: The basic ability to solve simple algebraic equations is required and a familiarity with the typical trigonometric functions (sine, cosine) is desired. Attention HGTC Students: The faculty and administration of HGTC are committed to enhancing your learning experience at the College through improved methods of instruction and support services. For information on Student Support Services or questions about your curriculum program please refer to your Wave Net homepage. Student Learning Outcomes 1. Solve for resultants of multiforce systems both graphically and analytically 2. Prepare free body diagrams and solve for resultants in simply supported structural systems 3. Determine member forces in trusses using method of joints and method of sections 4. Solve for reacting forces in three dimensional plate and truss structures. 2 P age

3 UNIT I Unit Competencies & Skills: Upon the completion of this unit, the successful student will be able to differentiate between internal and external stresses; acting and reacting stresses; and concentrated and distributed loads. He/she will also be able to calculate moments due to force/lever arm combinations and/or force couples. The successful student will be able to construct a free body diagram for single determinate structures and solve for reactions in a static system which is in equilibrium. 1) Define the term "mechanics" as applies to the study of statics. 2) The following topics involve certain principles of statics: a) List several examples of Newton's third law of motion. b) Draw sketches illustrating externally applied loads and the corresponding internal member stresses. c) Explain and illustrate the difference between concentrated and distributed loads. 3) List the typical units commonly encountered in statics problems based on the English and Metric systems: Perform calculations to transform force and moment quantities with English units into metric units and visa versa. 4) Define the following terms: a) Coplanar b) Concurrent c) Collinear 5) Use sketches and examples to distinguish between scalar and vector quantities. 6) Draw a sketch which shows the horizontal and vertical components of certain inclined forces. Explain the graphical and trigonometric relationships between the components. 7) Explain how the resultant of two concurrent forces may be obtained by use of the following methods: a) Parallelogram b) Triangle c) Superposition 8) Define the concept of moments as applied to the study of statics. a) List typical moment units 3 P age

4 b) Give examples of couples c) Use sketches to demonstrate Varignon's Theorem 9) Resolve a force into parallel components by the following methods: a) Inverse proportional method b) Resolution method 10) Define the three basic equations of equilibrium for a static system in equilibrium. 11) Solve for the reactions in a loaded, simply supported beam. 12) Draw free body diagrams which will all applied and non applied loads plus the reaction necessary top satisfy static equilibrium. 13) Exam #1 UNIT II Unit Competencies & Skills: Upon the completion of this unit, the successful student will be able to calculate the resultants of the following static force systems: coplanar, parallel; coplanar, noncurrent; and non-concurrent, parallel. He/she will be able to replace the distributed loads of assorted shapes with equivalent, concentrated loads. He/she will be able to sketch free body diagrams of items representative of the various force systems. Also, the successful student will be able to calculate the internal forces and reactions of a determinate truss using the method of joints or the method of sections. 1) Compute the magnitude and location of the resultant of a coplanar, parallel force system. 2) Calculate the resultant of the following types of distributed loads: a) Evenly distributed b) Triangularly distributed c) Trapezoidally distributed 3) Solve for the reaction providing static equilibrium for a coplanar, parallel distributed force system (For example, use vertical distributed loads on a simply-supported beam. 4) List typical examples of points of concurrence in a coplanar, concurrent system. 5) List the three requirements for defining the resultant of a concurrent force system. 6) Explain and give examples of the Polygon Law for coplanar, concurrent force systems. 7) Sketch and label the typical components of a simple, determinate truss system. 4 P age

5 8) Explain the difference between the following end connections used in trusses. a) Rigid connections b) Pin connections 9) Distinguish between axial and bending stresses in a structure. 10) Solve for the loads in certain truss members using: a) Trigonometry b) Force diagrams 11) Sketch free body diagrams of typical rope and sheave systems. 12) Calculate the internal force in several truss members using the method of joints. 13) Define and sketch examples of coplanar, non-concurrent force systems. 14) Define and sketch examples of coplanar, non-concurrent force systems. 15) Calculate the resultant of a coplanar, non-concurrent force system in the following manners: a) Analytically using trigonometry b) Graphically by the parallelogram method 16) Calculate the reactions in a coplanar, non-concurrent force system. 17) Solve for the internal forces of a truss by the method of sections. 18) Define counterdiagonals in a truss system. 19) Define and sketch examples of a non-coplanar, parallel force system. 20) Exam #2 UNIT III Unit Competencies & Skills: 5 P age

6 Upon the completion of this unit, the successful student will be able to sketch free bodies and calculate reactions and internal forces for the following types of force systems: noncoplanar, concurrent; noncoplanar, nonconcurrent; inclined plane; belt friction over pulleys or sheaves; and rolling friction examples. He/she will also be able to utilize the principles of buoyancy and unit to solve hydrostatic pressure problems and retaining wall stability problems. 1) List and sketch several examples of noncoplanar, concurrent force systems. 2) Sketch the resultant along with the x, y, and z components of a force vector in three-dimensional space. (Demonstrate how the resultant is may be calculated from the components.) 3) Solve for the internal forces in a sample three-member frame by the following methods: a) Force method b) Moment method 4) Sketch a free body of some sample problems of a noncoplanar, nonconcurrent force system (such as a tension cord supporting a hinged plate). Calculate the reactions and internal forces for ach sample problem. 5) Define and give examples of the following types of friction: a) Static b) Kinetic 6) Sketch on an inclined plane (which is supporting a block) the following friction components: a) Coefficient of friction b) Angle of friction c) Normal force d) Angle of repose 7) Discuss the mechanics of a typical belt friction problem. Sketch free body diagrams showing typical forces involved. 8) Define the following terms as they relate to hydrostatic pressure problems: a) Buoyancy b) Weight density c) Load capacity 9) Construct the free body diagram of a typical cantilever retaining wall. Analyze the retaining wall for sliding and overturning. 10) Solve flexible cable problems based on the following load conditions: a) Vertical concentrated loads b) Vertical distributed loads c) Horizontally uniform loads 6 P age

7 11) Exam #3 12) Final Exam EVALUATION METHODS AND GRADING POLICY How Grades Will be Determined: Percent of Final Grade Tests (Three of Equal Weight)*... 60% Exam # % Exam # % Exam # % Homework... 10% Final Exam... 30% Total % *- Some topics in Civil Engineering may be covered during the semester. At the instructor s discretion, two or more assignments related to Civil Engineering may be averaged as one test grade. **-Students lose 1 point after the second tardy, for each tardy. Tardies are at instructor s discretion. Grading Policy A= B= C= D= F= 0-59 Instructor's Policy's In accordance with school policy, no eating, drinking, or smoking is allowed in class. Any student leaving class without the instructor's permission will be counted as absent for the day. In accordance with school department policy, a student may be withdrawn from the course after he/she misses in excess of 10 % of the total. Tardy Policy: Three tardies count as one unexcused absence. Withdrawal policy: As listed in the school catalog. Instructor Information Office Phone: Office Location: Building 300 Office Conway Campus Office Hours: Tuesdays and Thursdays 1:30pm until 5:30pm 7 P age