At a point in a stressed body, the known stresses are o, = 15 ksi (T). o, 12 ksi (T). oz = 11 ksi (T). Try = 3 ksi, Tyz = -4 ksi, %3D and = 0. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 41°, 61°, and 63.77° with the x, y, and z axes, respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Determine the three orthogonal components of the resultant stress. Answers:

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 7.7.19P: During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as...
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Part 2
Determine the normal component a, of the resultant stress. Your answer must be consistent with the sign convention for normal
5355a75
Answer.a, =
ksi
Transcribed Image Text:Part 2 Determine the normal component a, of the resultant stress. Your answer must be consistent with the sign convention for normal 5355a75 Answer.a, = ksi
At a point in a stressed body, the known stresses are o, =
15 ksi (T). o, = 12 ksi (T). oz = 11 ksi (T). Try = 3ksi, Tyz = 4ksi,
%3D
and = 0.Determine
(a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 41°. 61 and 63.77° with thex,y, and z
axes, respectively.
(b) the principal stresses and the absolute maximum shear stress at the point.
Determine the three orthogonal components of the resultant stress.
Answers:
ksi
5, =
ksi
ksi
Transcribed Image Text:At a point in a stressed body, the known stresses are o, = 15 ksi (T). o, = 12 ksi (T). oz = 11 ksi (T). Try = 3ksi, Tyz = 4ksi, %3D and = 0.Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 41°. 61 and 63.77° with thex,y, and z axes, respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Determine the three orthogonal components of the resultant stress. Answers: ksi 5, = ksi ksi
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