The stresses shown act at a point on the free surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12.4 ksi, Sy = 3.5 ksi, and Sxy = 3.6 ksi. Assume β=29∘. Determine the normal stresses σx and σy and the shear stress τxy at the point.

The stresses shown act at a point on the free surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12.4 ksi, Sy = 3.5 ksi, and Sxy = 3.6 ksi. Assume β=29∘. Determine the normal stresses σx and σy and the shear stress τxy at the point.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

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The stresses shown act at a point on the free surface of a machine component. Normal and shear stress
magnitudes acting on horizontal and vertical planes at the point are Sx = 12.4 ksi, Sy = 3.5 ksi, and Sxy = 3.6 ksi.
Assume ß = 29°. Determine the normal stresses , and oy and the shear stress Try at the point.
Answers:
0x =
Oy =
Txy =
13.358
2.542
1.863
Txy
Ox
B
ksi.
ksi.
ksi.
S,

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