8.7 At a point in a material under stress, there is a compressive stress of 200 MN/m and a shear stress of 300 MN/m2 acting on the same plane. Determine the principal stresses and the directions of the planes on which they act. [216 MN/m2 at 54.2° to 200 MN/m2 plane;- 416 MN/m2 at 144.2°] 8.8 At a certain point in a material, the following stresses act: a tensile stress of 150 MN/m2, a compressive stress of 105 MN/m2 at right angles to the tensile stress and a shear stress clockwise in effect of 30 MN/m2. Calculate the principal stresses and the directions of the principal planes. [153.5,- 108.5 MN/m²; at 6.7° and 96.7° counterclockwise to 150 MN/m plane]
8.7 At a point in a material under stress, there is a compressive stress of 200 MN/m and a shear stress of 300 MN/m2 acting on the same plane. Determine the principal stresses and the directions of the planes on which they act. [216 MN/m2 at 54.2° to 200 MN/m2 plane;- 416 MN/m2 at 144.2°] 8.8 At a certain point in a material, the following stresses act: a tensile stress of 150 MN/m2, a compressive stress of 105 MN/m2 at right angles to the tensile stress and a shear stress clockwise in effect of 30 MN/m2. Calculate the principal stresses and the directions of the principal planes. [153.5,- 108.5 MN/m²; at 6.7° and 96.7° counterclockwise to 150 MN/m plane]
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 7.2.21P: An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec...
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