A loaded structure with a two-dimensional stress state has the stress in the x-axis is 13.5 Mpa, in the y-axis is - 3.2 Mpa, and the shear stress in the x-y is - 4.4 Mpa. a) Write the stress transformation equations b) Calculate o, and t for the inclination angle 0 between the values 0 to 180°, in 15° increments. c) Draw the profile graph of normal stress and shear stress with e in the x-axis d) Obtain from the graph, the principal stresses o,, o,, and

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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3- A loaded structure with a two-dimensional stress state has the
stress in the x-axis is 13.5 Mpa, in the y-axis is - 3.2 Mpa, and
the shear stress in the x-y is - 4.4 Mpa.
a) Write the stress transformation equations
b) Calculate o and t for the inclination angle 0 between the
n
values 0 to 180°, in 15° increments.
c) Draw the profile graph of normal stress and shear stress with
e in the x-axis
d) Obtain from the graph, the principal stresses o,, o,, and
2'
maximum and minimum shear stresses Tmax and tmin
e) Obtain from the graph the corresponding inclination angle
Op1, Op2, Os1, and es2 for each of principal stresses and shear
stresses, respectively
Transcribed Image Text:3- A loaded structure with a two-dimensional stress state has the stress in the x-axis is 13.5 Mpa, in the y-axis is - 3.2 Mpa, and the shear stress in the x-y is - 4.4 Mpa. a) Write the stress transformation equations b) Calculate o and t for the inclination angle 0 between the n values 0 to 180°, in 15° increments. c) Draw the profile graph of normal stress and shear stress with e in the x-axis d) Obtain from the graph, the principal stresses o,, o,, and 2' maximum and minimum shear stresses Tmax and tmin e) Obtain from the graph the corresponding inclination angle Op1, Op2, Os1, and es2 for each of principal stresses and shear stresses, respectively
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