At a point in a stressed body, the known stresses are o, = 42 MPa (T), o, = 16 MPa (C), o, = 22 MPa (T), ETry = 40 MPa, Tyz = 0, and rx = 27 MPa. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 77°, and 55.03° with the x, y, and z axes respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Answers: (a) on = i MPa Tnt = MPa (b) Opl = MPa Op2 = i MPа Op3 = MPa Tabs max = i MPa

At a point in a stressed body, the known stresses are o, = 42 MPa (T), o, = 16 MPa (C), o, = 22 MPa (T), ETry = 40 MPa, Tyz = 0, and rx = 27 MPa. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 77°, and 55.03° with the x, y, and z axes respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Answers: (a) on = i MPa Tnt = MPa (b) Opl = MPa Op2 = i MPа Op3 = MPa Tabs max = i MPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

At a point in a stressed body, the known stresses are o, = 42MPA (T), o, = 16 MPa (C), o, = 22 MPa (T), ETry = 40 MPa, Tyz
0, and Tex = 27 MPa. Determine
(a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38° 77°, and 55.03° with the x, y, and z axes
respectively.
(b) the principal stresses and the absolute maximum shear stress at the point.
Answers:
(a) on =
i
MPa
Tnt =
MPa
(b) Opl =
i
MPa
Op2 =
i
MPa
Op3 =
i
MPа
Tabs max =
i
MPa

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