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Unformatted text preview: CE 3101 Fall 2011 Homework 08  Mohr’s Circle for Plane Stress Due Thursday, 3 November 2011, 11:55 P.M. This is an INDIVIDUAL assignment. Abstract As INDIVIDUAL students 1 , you will design and implement a MATLAB function to compute and plot Mohr’s Circle for Plane Stress . A brief letter report is required in addition to the working, welldocumented, code. A full written report is NOT requested or required. Evaluation and the Time Card After completing this assignment you are each required to INDIVIDUALLY complete the Homework 08 Evaluation , found on the course Moodle web site. Your evaluation activity must be completed by 6:00 P.M., Friday, 4 November 2011, or you risk the imposition of an egregious 5point penalty. 1 Background Mohr’s circle 2 is a graphical presentation of the twodimensional state of stress at a point. The representation was proposed in 1892 by Christian Otto Mohr 3 (18351918). If you do not yet know “Mohr’s circle” from other classes, you soon will, for it is a useful visualization tool used in many classes, including deformable body mechanics, civil engineering materials, soil mechanics, rock mechanics, and linear structural analysis, to name a few in the CE Department. Mohr’s circle is also used in MatS courses like the science of engineering materials and the associated lab. In short, Mohr’s circle is your friend. 2 Problem Write a MATLAB routine called “ MohrsCircle2D ” (the associated file will be named MohrsCicrle2D.m ) that takes three input arguments σ X , σ Y , and τ XY , draws the associated Mohr’s Circle diagram 4 for plane stress (i.e. 2D), and returns the two principal stresses and the maximum shear stress. • You will need to draw a circle, probably using the plot command. Fill in the circle with a light or pastel color. • Please make certain that you draw a circle and not an ellipse; to do this you will need to investigate the axis equal command. • You may also want to increase the plot margins beyond the default. To do this you will probably use the axis command 5 . • You will need to label the axes. The difficulty with this is that you need to draw the Greek characters τ and σ . Fortunately, MATLAB can do this nicely 6 . Use a larger text size than the default. • Plot and annotate (with the input numeric values) the points on the circle represented by the input stresses: ( σ x , τ xy ) and ( σ y , τ xy ) . You will probably need to use the plot command, and the sprintf and text commands. Draw a colored 7 line connecting these two points. 1 You may work together, help each other out, swap ideas and code fragments, carry on open discussions on the forum, but every individual is responsible for their own submission....
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 Spring '11
 Barnes
 Shear Stress, principal stresses, title block, Deformable Body Mechanics

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