Question: Explicitly verify relations (3.5.4) for the octahedral stress components. Also show that they can be expressed in terms of the general stress components by: Equation

Explicitly verify relations (3.5.4) for the octahedral stress components. Also show that they can be expressed in terms of the general stress components by:

Joct = 3 (0x + a + a) ay Toct= - [(ox  ay) + (ay  a) + (a  0x) + 62y +673 +67 ] / 1/2 - -

Equation 3.5.4

1 N = 0oct=3(01+02 +03) = 30 kk = 3/1 S = Toct 1 = 3 [(0-0) + (02-03) + (03-0)] 1/2 - (217-6/2)/2 3

Joct = 73 (0x + a + a) oy- - 3 - [(ox ay) + (ay a) + (a 0x) + 62y +6732 +67 ]/ - 1/2 Toct=

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