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

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 7.3.18P: -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a)...

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