Problem 1: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 25 ksi, oy = 12 ksi, and Txy = 10 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 12 ksi 5 25 ksi 10 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the principal stresses, the maximum in-plane shear stress, and the normal stress that acts on the maximum shear stress plane. Label all of these quantities on the circle. (c) Calculate the orientation of the principal planes and the planes of maximum shear stress. Label all of these quantities on the circle. (d) Show all stresses from part (b) on properly oriented stress element(s). Be sure to include all stress components acting on the elements(s).

Elements Of Electromagnetics
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Problem 1: A state of plane stress at a point on the surface of a structure consists of the
following stress components: Ox = 25 ksi, oy = 12 ksi, and Txy = 10 ksi. Note that the stress
components act in the directions shown on the element below.
Ox
Txy
12 ksi
5
25 ksi
10 ksi
(a) Draw a complete Mohr's circle for this stress state.
Clearly label the X and Y faces, the center C, and
the radius R.
(b) Using Mohr's circle, determine the principal
stresses, the maximum in-plane shear stress, and the
normal stress that acts on the maximum shear stress
plane. Label all of these quantities on the circle.
(c) Calculate the orientation of the principal planes and
the planes of maximum shear stress. Label all of
these quantities on the circle.
(d) Show all stresses from part (b) on properly oriented
stress element(s). Be sure to include all stress
components acting on the elements(s).
Transcribed Image Text:Problem 1: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 25 ksi, oy = 12 ksi, and Txy = 10 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 12 ksi 5 25 ksi 10 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the principal stresses, the maximum in-plane shear stress, and the normal stress that acts on the maximum shear stress plane. Label all of these quantities on the circle. (c) Calculate the orientation of the principal planes and the planes of maximum shear stress. Label all of these quantities on the circle. (d) Show all stresses from part (b) on properly oriented stress element(s). Be sure to include all stress components acting on the elements(s).
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