ca3_f23

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University of Rhode Island *

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466

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Mechanical Engineering

Date

Dec 6, 2023

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docx

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3

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MCE 466 - Computer Assignment #3 Plane Stress Analysis Due: 11/13/23 @ 11:30 PM Use Abaqus to examine variations of problem 7-25 in the text by Logan. Imposing symmetry conditions as appropriate, determine the maximum von Mises stress in the vicinity of the holes. Assume plane stress conditions. Apply the load as a negative pressure, which assumes that the load is applied uniformly along the left and right edges. Part A – Hand calculation Using the stress concentration curve from Shigley’s text 1 , estimate the maximum stress at the edge of a plate with a single hole Part B – Finite element analysis 1 “Shigley's Mechanical Engineering Design,” 10th Edition, Budynas and Nisbett, p. 1024, 2015.
Compare the performance of linear triangles (CST) to quadratic (LST) triangles. For each case, perform a mesh convergence study (evaluate at least 3 meshes for each case) to convince yourself that your solution is within 2% of the exact solution. For the “coarse” and “medium” meshes, use a uniform mesh density. For the “fine” mesh, use “bias edge seeds” refine the mesh near regions of stress concentration. Table 1. Material Properties Material Young's Modulus (GPa) Poisson's ratio Steel 210 GPa 0.26 Table 2. Cases Case Student R (mm) L 1 (mm) L 2 (mm) L 3 (mm) 1 Benros, Josh 90 300 250 400 2 Coburn, Gage 90 300 250 500 3 Greene, Samuel 90 300 250 600 4 Hahn, Cameron 90 300 300 400 5 Hartman, Bobby 90 300 300 500 6 Lehane, Josh 90 300 300 600 7 Lopez, Miguel 90 300 350 400 8 Marx, Shane 90 300 350 500 9 Siraco, Jazmyn 90 300 350 600 10 Trivisonno, Jacob 90 350 250 400 11 Twitchell,Ethan 90 350 250 500 12 Vad, Nicolas 90 350 250 600 13 Vaudrain, Matthew 90 350 300 400 14 Wojnilo, Mike 90 350 300 500 15 Wos, Berenika 90 350 300 600
Name________________________________ Computer Assignment #3 - Solution Summary Instructions: 1. Report your solution by filling all fields in the tables below 2. Be sure your answers are in the requested units. 3. All numeric values should be reported to three significant digits. 4. Include screen shots of each of the 6 meshes and the von Mises stress contours for two cases: CST fine and LST fine (turn off stress averaging). Case Parameters Results Upload you’re the following files to Brightspace: 1. An MSWord (or pdf) file with this solution summary form and the Abaqus screen shots. 2. Your Abaqus “.cae” file Case # R ( mm ) L 1 (mm) L 2 (mm) L 3 (mm) Model Number of Nodes (use Tools => Query => Mesh) Max. von Mises stress (MPa) Hand Calculation (Part A) CST - coarse CST - medium CST - fine LST - coarse LST - medium LST - fine
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