Department of Mechanical Engineering Spring 2023 / ME232 Bilkent University TEMİZER ANSYS Exercises Excercise 1: Solve the problem of a circular hole in a thin plate (Fig.1) subjected to uniaxial tension in 3D to investigate the following cases using the reference parameters, unless otherwise stated. (Reference parameters: Thickness = 5 mm, side lengths = 500 mm, hole radius = 65 mm, load(S) = 0.1M P a, element size = normal.) 1. Solve the problem with coarse(1), normal(2) and fine(3) element sizes for meshing. Plot stress concentration factor versus element size and stress concentration factor versus CPU time and comment on the results obtained. 2. Obtain stress concentration factor for at-least 5 different thicknesses from 5 mm to 200 mm. Plot thickness versus stress concentration factor and comment on the results. 3. For circular hole, obtain the stress concentration factor for different radii (a) starting from 50 mm radius to 20 mm with a step size of 10 mm. Plot radius versus stress concentration factor and comment on the results. 4. Repeat the simulation for at least 4 different types of metals (e.g. Aluminum Alloy, Gray Cast Iron, Structural Steel and Copper Alloy etc.) and discuss whether stress concentration factor is material dependent or not. Note that, all other parameters such as geometry, loading and mesh sizes should be chosen the same for all materials to make a feasible comparison. 5. For different load values (0.05, 0.1, 0.2, 0.3, 0.4, 0.5) M P a. Plot σy,max value versus load and comment on the graph obtained. Fig.1: Thin Plate with hole under uniaxial loading. ANSYS Exercises 1 Department of Mechanical Engineering Spring 2023 / ME232 Bilkent University TEMİZER Excercise 2: Consider the problem of cantilever beam as shown in figure (2), with the dimensions 500mm × 100mm × 10mm and under uniform load of 0.1M P a. 1. Plot the 3D von Misses stress and displacement graphs. 2. Stresses: Create four paths along the z-coordinate axis at x = 0 and y = 100mm, 200mm, 300mm and 400mm, plot in 1D and export the data for σy and τyz to MATLAB and compare with analytical results, also try to explain the differences present if any. 3. Displacements: Create a path along y-coordinate axis at the center of the cantilever beam x = 0 and y = 0, plot displacement and export the data to MATLAB and compare with analytical results. Fig.2: Cantilever beam under uniformly distributed load S. ANSYS Exercises 2