1. The state of stress in a solid is defined by: 01 = 20, 02 = -40, ơ3 = -10, T12 = 0, t23 =-15, 713 = 15 (all stresses in ksi). 1.1. Find the direct stress, on, on an internal surface whose normal ī is at 60° to axis ī, and makes equal angles with axes i, and i3.
1. The state of stress in a solid is defined by: 01 = 20, 02 = -40, ơ3 = -10, T12 = 0, t23 =-15, 713 = 15 (all stresses in ksi). 1.1. Find the direct stress, on, on an internal surface whose normal ī is at 60° to axis ī, and makes equal angles with axes i, and i3.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1ee4e68-8547-4f12-98cd-24c49a1f5033%2F94e97b0c-d24e-4858-8238-3ca2bd19ac41%2Fzb08lhc_processed.png&w=3840&q=75)
Transcribed Image 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.
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