UTPA STEM/CBI Courses/Statics/Force Equilibrium
Course Title: Statics
Lecture Topic: Force Equilibrium
Instructor: Dr. Seokyoung Ahn
Institution: The University of TexasPan American
Backwards Design edit
Course Objectives
 Primary Objectives By the next class period students will be able to:
 Understand force equilibrium in three dimensions
 Sub Objectives The objectives will require that students be able to:
 Understand and able to draw a Free Body Diagram for three dimensional structure
 Understand the concept of moment of inertia
 Develop a solution based on engineering analysis
 Difficulties Students may have difficulty:
 Students will encounter problems understanding Free Body Diagram
 Students will encounter problems understanding physical meaning of "moment of inertia"
 RealWorld Contexts There are many ways that students can use this material in the realworld, such as:
 Radio masts and towers are, typically, tall structures designed to support antennas (also known as aerials in the UK) for telecommunications and broadcasting, including television. They are among the tallest manmade structures. Similar structures include electricity pylons and towers for wind turbines. The Warsaw Radio Mast was the world's tallest supported structure on land, but it collapsed in 1991, leaving the KVLY/KTHITV mast as the tallest.
 Read this story
 Radio mast
Model of Knowledge
 Concept Map
 Understanding structural uniqueness of radio mast
 Understanding the need of guy wires and pretension on guy wires
 Content Priorities
 Enduring Understanding
 Understand how stepfunctions work
 Important to Do and Know
 Understand the correlation between various classes
 Formulate ideas based on knowledge previously obtained
 Worth Being Familiar with
 Differential Equations
 Thermodynamics
 Heat Transfer
 Enduring Understanding
Assessment of Learning
 Formative Assessment
 In Class (groups)
 Generate equation to solve for thermometer output
 Homework (individual)
 Prelecture quiz after student has read chapter
 In Class (groups)
 Summative Assessment
 In class quiz over lesson
Legacy Cycle edit
Students will be asked to read chapter 3 of their measurements book prior to this lesson. They will also be provided with a temperature measurement quiz online so that they may evaluate their own understanding of the topic prior to attending class.
OBJECTIVE
By the next class period, students will be able to:
 Differentiate between zero, first, and secondorder systems
 Understand firstorder step functions
 Derive a time constant
The objectives will require that students be able to:
 Understand several heat transfer/thermodynamics equations
 Solve a differential equation
THE CHALLENGE
The students will be presented with the following questions:
 Why is it that when taking ones temperature with a glass mercury thermometer it is recommended that the thermometer stay in the mouth for at least three minutes?
 Is three minutes a sufficient amount of time?
 Can this time be reduced while maintaining accuracy in measurement?
GENERATE IDEAS
The students will be given a few minutes to individually write down their answers to the questions that have been presented. Students may respond with answers such as:
 It takes the thermometer time to reach steady state
 Because of the the reaction time of the thermometer
 Because of the thermometer's time constant, you want an accurate reading
MULTIPLE PERSPECTIVES
The following link presents application of trusses and frames in the construction industry: Walkway link 1 Walkway link 2
The professor will lecture on firstorder step functions so that students will gain a better understanding of the topic. Students will be asked, "What do we need to know in order to answer our challenge questions?" and given a few minutes to individually write down their responses. Examples include:
 We need to know the materials of the thermometer and their properties
 We need to know some heat transfer, thermodynamics, and differential equation
RESEARCH & REVISE
Students will be provided with heat transfer and thermodynamics equations. They will then form groups and be asked to begin deriving the time constant.
TEST YOUR METTLE
Students will receive feedback on their progress and ideas as well as the correct process for deriving the desired equation. Students will be presented with a quiz at the beginning of the following class.
GO PUBLIC
Students will now be able to answer the questions presented at the beginning of the lesson and will be asked to turn in a brief explanation.
PreLesson Quiz edit
Read the user testing data and then indicate whether it is quantitative or qualitative by selecting the appropriate radio button. When you are finished making your selection, click the "Submit" button.
Test Your Mettle Quiz edit
Read the user testing data and then indicate whether its severity by selecting the appropriate radio button. For the purposes of this exercise, you have already confirmed each item's veracity. When you are finished making your selection, click the "Submit" button.
Knowledge Check 3 edit
In the previous lesson, Conducting User Testing, you conducted your own user test on an elearning page from Wikiversity. In this knowledge check, practice what you know about analyzing results by judging the severity of each your findings. If you believe that the item needs resolution, think about how you might go about fixing it.
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Images edit

KVLY tower from a distance of about one mile (1.6 km)

A guywire anchor