1. The state of stress in a solid is defined by: o, = 20, ơ2 = -40, 03 = -10, t12 = 0, T23 = -15, T13 =15 (all stresses in ksi). 1.1. Find the direct stress, o,, on an internal surface whose normal ī...


1. The state of stress in a solid is defined by: o, = 20, ơ2 = -40, 03 = -10, t12 = 0, T23 = -15, T13 =15 (all<br>stresses in ksi).<br>1.1. Find the direct stress, o,, on an internal surface whose normal ī is at 60° to axis ī, and makes equal angles<br>with axes i, and i3.<br>1.2. Find the principal stresses, opi, and their directions, ñī, (i = 1,2,3). HINT: you do NOT have to do this by<br>hand; use the eigenvalue function in MATLAB, Mathematica or Wolfram Alpha.<br>

Extracted text: 1. The state of stress in a solid is defined by: o, = 20, ơ2 = -40, 03 = -10, t12 = 0, T23 = -15, T13 =15 (all stresses in ksi). 1.1. Find the direct stress, o,, on an internal surface whose normal ī is at 60° to axis ī, and makes equal angles with axes i, and i3. 1.2. Find the principal stresses, opi, and their directions, ñī, (i = 1,2,3). HINT: you do NOT have to do this by hand; use the eigenvalue function in MATLAB, Mathematica or Wolfram Alpha.

Jun 11, 2022
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