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 = 23.6 ksi, Sy = 2.8 ksi, and Sxy = 7 ksi. Assume β=19∘. Determine the normal stresses σx and σy and the shear stress τxy at the point. The stresses shown act at a point on the freesurface of a machine component. Normal andshear stress magnitudes acting on horizontaland vertical planes at the point are Sx = 23.6 ksi,Sy = 2.8 ksi, and Sxy = 7 ksi. Assume ß = 19º.Determine the normal stresses σ, and oy andthe shear stress Txy at the point.SxyTxy0x ==9Txy=Oxksi.ksi.ksi.

Radius of the circleR=(sx-sy2)2+sxy2R=(23.6-2.82)2+72R=12.54 ksisAVG=sx+sy2=23.6+2.82sAVG=13.2ksi

ee surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 23.6 ksi, Sy = 2.8 ksi, and Sxy = 7 ksi. Assume β=19∘. Determine the normal stresses σx and

ee surface of a machine component. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 23.6 ksi, Sy = 2.8 ksi, and Sxy = 7 ksi. Assume β=19∘. Determine the normal stresses σx and

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter10: Stresses In A Soil Mass

Section: Chapter Questions

Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...

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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.

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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 = 23.6 ksi, Sy = 2.8 ksi, and Sxy = 7 ksi. Assume β=19∘. Determine the normal stresses σx and σy and the shear stress τxy at the point.

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