Stress Transformation

Stress Transformation - Strain Rotational Transformation...

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Unformatted text preview: Strain Rotational Transformation About a Principal Axis (Note: Works for plane strain and plane stress, too) " # = " x cos 2 # + " y sin 2 # + $ xy sin# cos# "x% (" x + " y ) + (" x & " y ) cos 2# + $ xy sin 2# = "y% = 2 (" x + " y ) $ x %y % =& 2 ! & 2 (" x & " y ) 2 (" x & " y ) 2 2 $ xy cos 2# & sin 2# 2 2 $ xy sin 2# + cos 2# 2 But, better yet, use Mohr’s circle. Plot in γ/2 versus ε virtual space, the coordinates: x: (εx, -γxy/2) y: (εy, γxy/2) Angles are doubled as before. ...
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