Consider the following stress distribution [aX2 B 07 O = 0. where a and B are constants. (a) Determine and sketch the distribution of the stress vector acting on the square in the Xı = 0 plane with vertices located at (0,1,1),(0,-1,1),(0,1,-1)and(0,-1,-1). (b) Find the total resultant force and moment about the origin of the stress vectors acting on the square of part (a).

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Consider the following stress distribution
[aX2 B 01
O = B
where a and B are constants.
(a) Determine and sketch the distribution of the stress vector acting on the square in the Xi = 0
plane with vertices located at (0,1,1),(0,-1,1),(0,1,-1)and(0,-1,-1).
(b) Find the total resultant force and moment about the origin of the stress vectors acting on the
square of part (a).
Transcribed Image Text:Consider the following stress distribution [aX2 B 01 O = B where a and B are constants. (a) Determine and sketch the distribution of the stress vector acting on the square in the Xi = 0 plane with vertices located at (0,1,1),(0,-1,1),(0,1,-1)and(0,-1,-1). (b) Find the total resultant force and moment about the origin of the stress vectors acting on the square of part (a).
Expert Solution
Step 1

The stress distribution is as

Advanced Physics homework question answer, step 1, image 1

Now by comparing it with standard Matrix =

Advanced Physics homework question answer, step 1, image 2

Hence

Advanced Physics homework question answer, step 1, image 3

 

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