Z A 15 MPa 710 MPa 10 MPa 10 MPa 30 MPa 10 MPa XL 50 MPa →y The triaxial state of stress around a point of a structural element is given as in the element in the figure. a) Construct the stress tensor (matrix) around this point. b) Find normal and shear stress at a direction given by n = 0.5 and n, = 0.8. c) Find principal stresses and their directions d) Find maximum shear stress

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.10P
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Z
A
15 MPa
710 MPa
10 MPa
10 MPa
30 MPa
10 MPa
XL
50 MPa
→y
The triaxial state of stress around a point of a
structural element is given as in the element in
the figure.
a) Construct the stress tensor (matrix) around
this point.
b) Find normal and shear stress at a direction
given by n = 0.5 and n, = 0.8.
c) Find principal stresses and their directions
d) Find maximum shear stress
Transcribed Image Text:Z A 15 MPa 710 MPa 10 MPa 10 MPa 30 MPa 10 MPa XL 50 MPa →y The triaxial state of stress around a point of a structural element is given as in the element in the figure. a) Construct the stress tensor (matrix) around this point. b) Find normal and shear stress at a direction given by n = 0.5 and n, = 0.8. c) Find principal stresses and their directions d) Find maximum shear stress
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