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Material Type: Assignment; Professor: Mecholsky; Class: MATERIALS SELECTION; Subject: MATERIALS ENGINEERING; University: University of Florida; Term: Spring 2008;
Typology: Assignments
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Problem Set 2 EMA 4714 Materials Selection and Failure Analysis January 16, 2008 [Due Wednesday January 23, 2008].
2. Dieter 1.7. Consider the design of aluminum [alloy] bicycle frames. A prototype model failed in fatigue after 1600 km of riding, whereas most steel frames can be ridden [??] For over 60,000 km. Describe a design program that will solve this problem.
[1] analysis of failure - failure mechanism [e.g. Fatigue, SCC, whatever] including design factors influencing failure mode and time to failure [bending, torsional moments, stress concentrations, joining procedures, etc. Important to determine why this reduced service life was not anticipated - What wrong with evaluation/testing procedures. [2] stress distribution analysis on prototype design - Why did failure occur when and where it did? - remember, the object is not necessarily to eliminate failure but to postpone it. [3] redesign options to at least extend time to failure to where it can compete with steel. [4] some simulation of performance - computer modeling, FEA, whatever to test the various redesign concepts. [5] develop a prototype testing procedure/device which will allow some estimation of service life. [6] Manufacture/construct and assemble prototype. [7] Test prototype and redesign if necessary [iterative/feedback design process] 3 Pressure vessels, from the simplest aerosol can to the largest boiler, are designed for safety, to yield or to leak before break or the equivalent. List the merits and drawbacks of the following materials as potential pressure vessels: (1) aluminum, (2) steel, (3) silica glass and (4) glass fiber reinforced polymer (GFRP). Note that it is up to each team to find a source of properties upon which you base your analysis. You can start with: http://www.matls.com
The leak before break criterion assumes that the crack can grow (in a semi-circular pattern) to the point at which it “breaks through” to the surface. Thus, the stress intensity at that point is: KI = Y (t)1/2^ where t is the thickness of the vessel. Now, if KI < KC (or KIC), then fracture would not take place even though leaking has begun. Based on this analysis we can evaluate the different materials. (1) Aluminum can act as a pressure vessel for some applications because the toughness values ( 23 – 45 MPam1/2) are large enough for thin vessels under