B P K Z P O P (MPa) C K (MPa) y X a) Using the state of stress shown in the figure, determine the principal stresses, and find the direction of the maximum principal stress (the orientation of the maximum principal stress, i.e. 0₁).

Structural Analysis
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Chapter2: Loads On Structures
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P=3MPa 

K=1MPa

Strength of material question need help with solution

B
P
K
Z
P
O
P (MPa)
V
с
K (MPa)
y
X
a) Using the state of stress shown in the figure, determine the principal stresses, and find
the direction of the maximum principal stress (the orientation of the maximum principal
stress, i.e. 0₁).
b) Knowing that the unit outward normal of the plane ABC is given by
1 2
1
ñ = 7+ =j+ k
√6
√6
find the normal stress, and the shear stress on the plane ABC.
Transcribed Image Text:B P K Z P O P (MPa) V с K (MPa) y X a) Using the state of stress shown in the figure, determine the principal stresses, and find the direction of the maximum principal stress (the orientation of the maximum principal stress, i.e. 0₁). b) Knowing that the unit outward normal of the plane ABC is given by 1 2 1 ñ = 7+ =j+ k √6 √6 find the normal stress, and the shear stress on the plane ABC.
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