Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: 0x = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox 6 Txy 24 ksi 18 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 stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.2.8P: An element in plane stress on the fuselage of an airplane (figure part a) is subjected to...
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Problem 2: A state of plane stress at a point on the surface of a structure consists of the
following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress
components act in the directions shown on the element below.
Ox
Txy
24 ksi
бу
18 ksi
15 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 stress
components Ox, Oy, and Txy on an element rotated
25° counter-clockwise from the original element
shown. Label all of these quantities on the circle.
(c) Show all stresses from part (b) on a properly
oriented stress element. Be sure to include all
stress components acting on the element.
Transcribed Image Text:Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 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 stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.
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