At a point in a stressed body, the cartesian components of stress are Oxx = 60 MPa, Guy = -40 MPa, Ozz = 20 MPa, Txy = -40 MPa, Tyz = 20 MPa, and Txz = 30 MPa. Determine: (a) The principle stresses and their direction cosines. (b) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n,x) = 0.429; cos (n, y) = 0.514; cos (n, z) = 0.743

At a point in a stressed body, the cartesian components of stress are Oxx = 60 MPa, Guy = -40 MPa, Ozz = 20 MPa, Txy = -40 MPa, Tyz = 20 MPa, and Txz = 30 MPa. Determine: (a) The principle stresses and their direction cosines. (b) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n,x) = 0.429; cos (n, y) = 0.514; cos (n, z) = 0.743

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 7.4.21P: -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see...

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-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
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