The state of stress at a point is σ = -8.00 kpsi, σy = 12.00 kpsi, σ% = -18.00 kpsi, Try = 7.00 kpsi,Tyz = 4.000 kpsi, and Tzx = -18.00 kpsi.Determine the principal stresses.The principal normal stress σ1 is determined to bekpsi.The principal normal stress σ2 is determined to beThe principal normal stress σ3 is determined to bekpsi.kpsi.The principal shear stress T₁T1/2is determined to bekpsi.The principal shear stress 72/ is determined to be [kpsi.The principal shear stress T1/3is determined to bekpsi.

Answered: The state of stress at a point is σ =…

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 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

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-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
The normal and shear stresses acting on element A are 6500 psi, 17,300 psi, and 2900 psi (see the figure b for Problem 7.2-5). Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.
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The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi, Tyz = 8.000 kpsi, and T = -14.00 kpsi. Determine the principal stresses. The principal normal stress σ₁ is determined to be [ The principal normal stress σ2 is determined to be [ The principal normal stress σ3 is determined to be kpsi. kpsi. The principal shear stress 71/2 is determined to be [ The principal shear stress 7½ is determined to be [ The principal shear stress T₁/, is determined to be [ kpsi. kpsi. kpsi. kpsi.
At a point in the cross-section of an engineering component an element is subject to the following stresses: σx =100MPa σy =45MPa τxy = -50MPa Construct a Mohr’s Stress Circle and hence determine: (a) The Principal Stresses (σ1 & σ2) and the Directions of the Principal Planes (φ1 & φ2) (b) The Maximum Shear Stress (τmax) (c) Find the Normal Stress (σn) acting on a plane at 40 degs anticlockwise from the y-axis
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