Mechanical Engineering Session March 18, 2006 2006 New England Section American Society of Engineering Education Conference A New Approach to Mechanics of Materials: An Introductory Course with Integration of Theory, Analysis, Verification and Design Hartley T. Grandin, Jr. Worcester Polytechnic Institute Joseph J. Rencis University of Arkansas
23
Embed
Mechanical Engineering Session March 18, 2006 2006 New England Section American Society of Engineering Education Conference A New Approach to Mechanics.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Mechanical Engineering Session March 18, 2006
2006 New England Section American Society of Engineering Education Conference
A New Approach to Mechanics of Materials: An Introductory Course with Integration of
Theory, Analysis, Verification and DesignHartley T. Grandin, Jr.
Worcester Polytechnic InstituteJoseph J. Rencis
University of Arkansas
2006 ASEE NE Section Conference
Outline
1. Theory
2. Analysis
3. Verification
4. Design
5. Examples
6. Conclusion
2006 ASEE NE Section Conference
Theory
• Typical of a One Semester Course• Topics
1. Planar Equilibrium Analysis of a Rigid Body2. Stress3. Strain4. Material Properties and Hooke’s Law5. Centric Axial Tension and Compression6. Torsion7. Bending8. Combined Analysis9. Static Failure Theories10. Columns
• Commonly Found in Textbooks
2006 ASEE NE Section Conference
Analysis
• Structured Problem Solving Format1. Model
2. Free-Body Diagrams
3. Equilibrium Equations
4. Material Law Formulas
5. Compatibility and Boundary Conditions
6. Complementary and Supporting Formulas
7. Solve
8. Verification
• Textbooks• Headings to Solve Problem Commonly Used• Craig – Closest to us! But does not use structured format.
Blue Steps for Statics
2006 ASEE NE Section Conference
Analysis ‘Continued’
7. Solve
a) Traditional – w/ Values and/or
– Symbolic
b) Ours– Do Not Isolate Known and Unknown Variables– No Algebraic Manipulation – Reduces Errors!– Engineering Tool – Student Choice
c) No Textbook Does This!
CBAx PPRF =+=∑ ;0
KnownsUnknown
PPR BCA
=−=
CBA PPR =+
2006 ASEE NE Section Conference
Verification
• Question and Test to Verify the “Answers”
• Suggested Questions– A Hand Calculation?– Comparison w/ a Known Problem Solution?– Examination of Limiting Cases w/ Known Solutions?– Examination of Obvious Known Solutions?– Your Best Judgment?– Comparison w/ Experimentation? – Not done in course.
X
w(0)
w(L)
x
AB
L
+ =
2006 ASEE NE Section Conference
Verification ‘Continued’
• Important Educational Elements– Reflex Suspicion of Program Results
– Check Results with Alternative Methods
• Expected of Professionals
• Expect Student to be Professional
• Textbook by Craig
– Intuitive Discussion for One Solution
– No Numerical Testing
– We Do Both Since We Use Engineering Tools! Allows for Multiple Calculations Easily.
2006 ASEE NE Section Conference
Design
• Design is Where you Search for Optimum Solution– Interchanging Role of Known & Unknown Variables
• ABET Criteria 3c & Criteria 4 (now in 3c)
• Textbooks – Homework & Computer– Traditional
• Typically Single Solution for a Single Set of Specific Requirements
– Ours• Multiple Solution for Any Set of Requirements
• Easily Change Known & Unknown Variables
2006 ASEE NE Section Conference
Example 1: Statically DeterminateAxially Loaded Bar
Determine the displacement at B and C.
Solve using the given specifications:• PB = - 18.0 kN• L1 = 0.508 m • d1 = 40 mm• E1 = 207 GPa: Steel