If ß-Sn, a tetragonal crystal (point group 4/mmm, a = 0.583 nm, and c = 0.318 nm) is subject to a tensile stress of 63 MPa along [100] and to a shear stress of 18 MPa on the (100) plane in the [010] direction. Determine: a) the tensile stress normal to (110), and b) the shear stress on the (110) plane in the [1-10] direction.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...
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If ß-Sn, a tetragonal crystal (point group 4/mmm, a = 0.583 nm, and c = 0.318 nm) is
subject to a tensile stress of 63 MPa along [100] and to a shear stress of 18 MPa on the
(100) plane in the [010] direction.
Determine:
a) the tensile stress normal to (110), and
b) the shear stress
on the (110) plane in the [1-10] direction.
Transcribed Image Text:If ß-Sn, a tetragonal crystal (point group 4/mmm, a = 0.583 nm, and c = 0.318 nm) is subject to a tensile stress of 63 MPa along [100] and to a shear stress of 18 MPa on the (100) plane in the [010] direction. Determine: a) the tensile stress normal to (110), and b) the shear stress on the (110) plane in the [1-10] direction.
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