MARTIN_JEFFREY_LAB4

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University of Alabama *

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351

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Mechanical Engineering

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Dec 6, 2023

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Jeffrey Martin ME 351-001 10/02/23 Lab 4: Mesh Control 4a: Mesh Control of Cantilever Beam with Hole 1. Provide a screenshot of the deformed Z-stress (SZ) plot in isometric view. Include Max and Min. Annotations and show the mesh and results together. Fig. 1. Deformed Z-stress (SZ) Plot. 2. Obtain the Z-stress probe plot across the split line located on the top of the cantilever beam. Use hand calculations to calculate the stress and compare. a. Include max Z-stress values and discuss results. Provide possible reasons for differences in results. b. Include an image of the Z-stress plot with a proper title c. Include an image of hand calculations Max Stress along centerline (SolidWorks): 3.055e+02 MPa Max Stress (Hand Calculations): 1.32e+02 MPa Discussion of Results: The results found by hand calculations were off by a matter of 56% which is quite a large gap for these results. While I think my hand calculations were accurate, I could have potentially messed up causing this larger percentage of error. The results being relatively similar however tell me that the error could have simply come from the solid works calculation of max stress being much more lucrative than originally anticipated. \ On Split Line

Jeffrey Martin ME 351-001 10/02/23 Fig. 2. Z-stress along split line at top of loaded cantilever beam. Fig. 3. Hand calculations for Z-stress on cantilever beam.

Jeffrey Martin ME 351-001 10/02/23 3. Provide a screenshot of the deformed Y-displacement (UY) plot in isometric view. Include Max and Min. Annotations and show the mesh and results together. Fig. 4. Deformed Y-displacement (UY) Plot. 4. Obtain the Y-displacement probe plot across the split line located on the top of the cantilever beam. Use hand calculations to calculate the displacement and compare. a. Include min. (this is actually the max displacement, but it is given as a negative number) Y-displacement values and discuss results. Provide possible reasons for differences in results. b. Include an image of the Y-displacement plot with a proper title c. Include an image of hand calculations Min. Displacement along centerline (SolidWorks): -3.876 mm in. Displacement (Hand Calculations): -7.59 mm Discussion of Results: Again it is found that the hand calculations are pretty far off of the hand calculations completed. I am unsure why the percentage of error is found here to be around 100% when comparing solid works to hand calculations. It is possible that I may have missed a step which caused my answer to be almost exactly two times the solid works calculations but after reviewing my work I cannot find an error nor an explanation. On Split Line

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Jeffrey Martin ME 351-001 10/02/23 Fig. 5. Y-displacement along split line at top of loaded cantilever beam. Fig. 6. Hand calculations for Y-displacement on cantilever beam. 5. Determine the Z-stresses (SZ) on the side of the beam near the fixed face. a. Select probe locations ~ 20 mm from the fixed face (Use the mesh to guide you). b. Include an image of the probe plot with a proper title.

Jeffrey Martin ME 351-001 10/02/23 Fig. 7. Z-stress ~ 20 mm from fixed face of loaded cantilever beam. 6. Determine the Z-stresses (SZ) along the centerline of the sectioned cantilever beam with a hole. a. Section the beam 500 mm from the fixed RHS (Through the center of the hole). b. Probe at least 6 locations on the top and bottom sections of the beam along the centerline. c. Include an image of the probe plot with a proper title. Fig. 8. Z-stress along centerline of sectioned cantilever beam (sectioned at hole).

Jeffrey Martin ME 351-001 10/02/23 4b: Mesh Convergence of L-bracket 1. Fill in the table for the manual mesh control of the sharp corner model. Include answers to 3 decimal places. Mesh # Min. element size Max Y-Disp. (mm) Max VM Stress (MPa) Mesh 1 4.76 mm 0.248 7.81e+07 Mesh 2 2.38 mm 0.018 8.603e+07 Mesh 3 1.19 mm -0.131 1.339e+08 Mesh 4 0.6 mm -0.442 1.792e+08 Mesh 5 0.3 mm -0.672 2.41e+08 2. Fill in the table for the manual mesh control of the radius corner model. Include answers to 3 decimal places. Mesh # Min. element size Max Y-Disp. (mm) Max VM Stress (MPa) Standard Mesh 4.76 mm 0.114 5.64e+04 Curvature based mesh 1 1 mm -0.232 6.98e+04 Curvature based mesh 2 0.5 mm -0.412 9.65e+02 Curvature based mesh 3 0.1 mm -0.652 2.12e+03

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