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Show how to find the horizontal and vertical stresses (unknown a, and ay but known t) if u were given the two principal stresses.

Show how to find the horizontal and vertical stresses (unknown a, and ay but known t) if u were given the two principal stresses.

Mechanics of Materials (MindTap Course List)
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 7.2.25P: At a point on the web of a girder on an overhead bridge crane in a manufacturing facility, the...
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Snow how to find the horizontal and vertical stresses (unknown a, and oy but known t) if u were given the two principal stresses. 5) The direct stresses in two mutually perpendicular directions are 50 MN/m² (tensile) and 200 MN/m² (compressive) accompanied by shear stresses of intensity 100 MN/m² counterclockwise on effect on the plane carrying 200 MN/m2 stress. Using Mohr's Stress Circle, find the principal stresses, maximum shear stress, and their planes, the normal and tangential stresses on plane inclined 30 counterclockwise to the planes of the 50 MN/m² direct stresses. What is the shear stress which acting alone that produce the same maximum principal stress. A thin steel cylinder 1.3 m long is subjected to internal pressure of 3 MPa; find the change in inside volume owing to this pressure if the original internal volume is 65.5 x 10 m³ and weight of empty cylinder is 80.6 kg. Determine the internal diameter, hoop, and longitudinal stresses. For the cylinder material E = 210 GN/m², v = 0.3, density = 7800 kg/m³. A1 m long aluminum shaft is to be replaced by a steel hollow shaft of the same length and the same outside diameter with a bore of 30 mm. It is required to design the steel shaft to withstand three times the shear stress that of aluminum shaft. Determine the outside diameter of the steel and aluminum shafts. Find the values of the shear stresses on each shaft if a torque of 2 kN.m is applied to both of them.
Transcribed Image Text:Snow how to find the horizontal and vertical stresses (unknown a, and oy but known t) if u were given the two principal stresses. 5) The direct stresses in two mutually perpendicular directions are 50 MN/m² (tensile) and 200 MN/m² (compressive) accompanied by shear stresses of intensity 100 MN/m² counterclockwise on effect on the plane carrying 200 MN/m2 stress. Using Mohr's Stress Circle, find the principal stresses, maximum shear stress, and their planes, the normal and tangential stresses on plane inclined 30 counterclockwise to the planes of the 50 MN/m² direct stresses. What is the shear stress which acting alone that produce the same maximum principal stress. A thin steel cylinder 1.3 m long is subjected to internal pressure of 3 MPa; find the change in inside volume owing to this pressure if the original internal volume is 65.5 x 10 m³ and weight of empty cylinder is 80.6 kg. Determine the internal diameter, hoop, and longitudinal stresses. For the cylinder material E = 210 GN/m², v = 0.3, density = 7800 kg/m³. A1 m long aluminum shaft is to be replaced by a steel hollow shaft of the same length and the same outside diameter with a bore of 30 mm. It is required to design the steel shaft to withstand three times the shear stress that of aluminum shaft. Determine the outside diameter of the steel and aluminum shafts. Find the values of the shear stresses on each shaft if a torque of 2 kN.m is applied to both of them.
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