ME154 Spring 2020 HW06 PDF

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Download ME154 Spring 2020 HW06 PDF

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ME154_Spring_2020_HW06

NAME: ________________________________________

PROBLEM 1 [2 points] This problem is a modification of Example 4-2 (plane stress) from our Machine Design (5th ed.) textbook by R. L. Norton. For this homework change the applied normal stress in the y direction to σy = +30,000 psi). Find and report all three principal normal stresses and all three principal shear stresses, and provide a software-generated plot of the corresponding Mohr’s circles. For full credit your answers must be reported in SI units AND you must state what tools you used for computation and plotting (e.g., MATLAB, Python, Excel, or otherwise).

PROBLEM 2 [3 points] This problem is a modification of Example 4-3 (3-D stress) from our Machine Design (5th ed.) textbook by R. L. Norton. For this homework change the applied normal stress in the y direction to σy = +30,000 psi). Find and report all three principal normal stresses and all three principal shear stresses, and provide a software-generated plot of the corresponding Mohr’s circles. For full credit your answers must be reported in SI units AND you must state what tools you used for computation and plotting (e.g., MATLAB, Python, WolframAlpha, or otherwise).

PROBLEM 3 [5 points] This problem is a modification of Example 4-10 (combined bending and torsion) from our Machine Design (5th ed.) textbook by R. L. Norton. For this homework, change the applied force to F = 10 kN . Find and report the maximum shear stress at A, the principal normal stresses at A, and the maximum shear stress at B. Also draw and label the relevant 2-D views of stress elements at A and B, respectively, using clear labeling to indicate what plane (xy, yz, or zx) you are showing in each case. For full credit your answers must be reported in SI units. It is acceptable to draw the stress elements by hand as long as you are able to integrate (e.g., digital ink or scanning) with good legibility in your PDF document.

For personal learning you may wish to explore finite element analysis FEA solutions using relevant software (e.g., ANSYS, SOLIDWORKS Simulation, COMSOL, or otherwise) and compare solutions. All work in this assignment, however, must be solved by traditional idealized analytical methods, and no homework credit will be awarded for FEA. For those interested in learning more, ME 160 is a high-value elective course to consider.

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