EME236_Lab02_Curved Beam Analysis

EME236_Lab02_Curved Beam Analysis - EME236 Properties and...

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EME236 Properties and Mechanics of Materials Spring 2010 Lab 02: Curved Beam Analysis Today you will use SolidWorks and COSMOSWorks to analyze the stress in curved beam designs. The following tutorial is adapted from on in Analysis of Machine Elements using COSMOSWorks by John Steffen. During this tutorial, you will be introduced to the following COSMOSWorks capabilities. -- ability to use a split line to demark and select separate faces. -- ability to simulate pin loading of a part -- ability to determine safety factor using Design Check feature -- ability to look at different types of stress definitions -- ability to use the probe tool to create a cross section stress profile. -- learn to compare theoretical stress to FEA calculated stress. C-Clamp Simple Curved Beam Part A: Development of a FEA Stress-Strain Model for a Simple Curved Beam. Step 1: Theory: A simple curved bean is shown below. By drawing the FBD, it can be seen that the internal reactions of the beam include both a normal force and a bending force. Both the normal force and the bending moment contribute to the normal stress in the cross section of the beam. P N M s
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For equilibrium to be maintained F P N = - = 0 M M Ps = - + = 0 N P = M Ps = where s is the distance from the line of the force P to the neutral axis of the cross section of interest. Stress can be calculated using the bending stress formula and axial stress formula applied at the cross section. bending Mc I σ = axial N A σ = where bending σ is the bending stress due to the moment, M. c is the distance of point of interest to the neutral axis I is the second moment of area of the cross section and is given by bh I = 3 12 axial σ is the axial stress set up by the normal force, N, on the cross section A is the area of the cross section The total stress will be the sum of the bending and the normal stress such that total N Mc A I = + σ Bending stress can be both tensile (+) and compressive (-) depending upon the value of c . For this example, the axial stress will be tensile (+).
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EME236_Lab02_Curved Beam Analysis - EME236 Properties and...

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