a sample of soil is subjected to two mutually perpendicular direet stresses of 80 kN/m² tensile and 50 kN/m compressive, together with a shear stress of 30 kn?. The shear couple acting on planes carrying the 80 kN/m² stress is clockwise in effect. Find numerically: i) 01, and o3 ii) The maximum shear stress. iii) The direction of the planes on which these stresses act.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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a sample of soil is subjected to two mutually perpendicular direet stresses of 80 kN/m² tensile and 50 kN/m
compressive, together with a shear stress of 30 kn². The shear couple acting on planes carrying the 80 kN/m? stress
is clockwise in effect. Find numerically:
i) 01, and o3
ii) The maximum shear stress.
iii) The direction of the planes on which these stresses act.
Confirm your answer by means of a Mohr's stress circle diagram, and from the diagram determine the magnitude of
the normal stress on a plane inclined at 20° counterelockwise to the plane on which the 50 kN/m? stress acts.
Transcribed Image Text:a sample of soil is subjected to two mutually perpendicular direet stresses of 80 kN/m² tensile and 50 kN/m compressive, together with a shear stress of 30 kn². The shear couple acting on planes carrying the 80 kN/m? stress is clockwise in effect. Find numerically: i) 01, and o3 ii) The maximum shear stress. iii) The direction of the planes on which these stresses act. Confirm your answer by means of a Mohr's stress circle diagram, and from the diagram determine the magnitude of the normal stress on a plane inclined at 20° counterelockwise to the plane on which the 50 kN/m? stress acts.
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