Mechanics of Materials Engr 350 - Lecture 0 Some references taken from: Philpot, Timothy A. Mechanics of Materials: An Integrated Learning System, 4rd Edition. Wiley Approved calculators Casio FX-115 HP 33s and HP 35s TI -30X and TI-36X 2
Engineering Problem-Solving Documentation Given: (Background information about the problem being solved, figures, etc.)
Find: (The parameters you are being asked to solve for in the problem)What Expected Solution: (What do you know about the solution before calculating anything? This might include bounds of expected values, a direction, an expected failure mode, etc.) Plan and Assumptions: (What steps are you going to take to solve this problem? What equations or principles will be used? Do you have enough equations to solve for all the variables? Any engineer should be able to follow your plan and come up with the same results that you do.) Solution: (This is just crunching the numbers. Your solution should have units on every value, and conversions as necessary.) Check: (Come up with some way to validate that your solution makes sense. This may be an alternate calculation or method, a simplification that shows you are in a reasonable range, or comparison to known/accepted values) Reflection: (This is taking a broad look after you have thought through and
implemented the solution. What did you learn from this, and how might you use that in future problems? What additional things would you want to know about this problem if you were working on it as a paid engineering analysis? What insights did you gain about the system while working on this problem?) 3 FBDs 1. Establish a coordinate system, and moment sign convention 2. Decide which bodies are to be included and detach these from all others 3. Indicate all forces and moments on the FBD, including:
1. Those external and applied 2. Those resulting from the contact 3. Those resulting from removed bodies 4. Indicate magnitude and direction of any forces or moments if known 5. Include important dimensions 4 FBD Example Draw the approriate FBD of the forklift and crate.
5 FBD Draw the appropriate FBD of the bracket 6 FBD Draw the appropriate FBD of the crane arm and
cable 7 Review centroids The centroid is the geometric center of an area and can be determined with the following formula for composite areas use the formula
along with the centroids of common areas, Table A.1 8 Centroids example Determine the centroid location y_bar Where do you predict the centroid will be? Ai yi
yi*Ai 1 2 9 Moment of inertia Also known as the second moment of an area 10
Parallel axis theorem States that the moment of inertia for an area about an axis is equal to the areas moment of inertia about a parallel axis passing through the centroid plus the product of the area and the square of the distance between the two axes. For composite sections
11 Moment of inertia for composite sections example Determine the moment of inertia for the composite section Ici di di2Ai
Prior Knowledge This week's audio explores Egyptian hieroglyphics and how symbols become words. After we listen, we will discuss what you learned and what surprised you most about Egyptian hieroglyphics.
INVEST CAPITAL MARKETS LIMITED. Who are we. Introduction. Invest Capital Group is a well respected name in the financial markets and investment management circles in Pakistan. With its in-house team of investment, actuarial and risk professionals, the product offering of...
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[click once to begin the animation] Many of these are strengths which don't always shine in the education context. However, they are highly valued in a number of professional contexts; e.g. web & game design, GCHQ, NASA, or architecture (Richard...
Next generation data mining tools Author: Christos Faloutsos Description: icde 2001 Last modified by: christos faloutsos Created Date: 9/14/1999 4:17:22 AM Document presentation format: On-screen Show Company: Carnegie Mellon University Other titles
- John 3:16a NKJV "...that whoever believes in Him should not perish but have everlasting life. - John 3:16b NKJV "And as Moses lifted up the serpent in the wilderness, even so must the Son of Man be lifted up,"...
* Source: Schwartz 2003 * * Summary and Conclusions Globalization is certain business trend, as the Asian markets will expanding at a high growth rate in the next 15 to 20 years Ample opportunities for those who are prepared with...
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