HO-M-6(Mohrs)(08) - MIT, Unified (16.001/16.002) Materials...

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Paul A. Lagace 2007 Handout M-6 p. 1 MIT, Unified (16.001/16.002) Fall, 2008 Materials and Structures UNIFIED HANDOUT MATERIALS AND STRUCTURES - #M-6 y 1 y 2 Mohr s circle is a geometric representation of the 2-D transformation of stresses and is very useful to perform quick and efficient estimations, checks of more extensive work, and other such uses. CONSTRUCTION : Given the following state of stress: with the definition ( by Mohr ) of positive and negative shear: “Positive shear would cause a clockwise rotation of the infinitesimal element about the element center.” Thus, from the illustration above, σ 12 is plotted negative on Mohr's circle , and σ 21 is plotted positive . (Note : a similar formulation can be used for tensorial strain) Fall, 2008 Mohr s Circle
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Paul A. Lagace 2007 Handout M-6 p. 2 MIT, Unified (16.001/16.002) Fall, 2008 Materials and Structures Step 1 Step 2 Step 3 • Begin the construction by doing the following : 1. Plot σ 11 , - σ 12 as point A 2. Plot σ 22 , σ 21 as point B 3. Connect A and B
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HO-M-6(Mohrs)(08) - MIT, Unified (16.001/16.002) Materials...

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