At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are are follows: tensile stress 50 N/mm2 and shear stress 40 N/mm2 on one plane, compressive stress 35 N/mm² and complementary shear stress on the third plane. Find : (a) the principal stresses and the positions of the planes on which they act, (b) the positions of the planes on which there is no normal stress.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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At a point in a piece of elastic material there are three mutually perpendicular planes on which the
stresses are are follows: tensile stress 50 N/mm2 and shear stress 40 N/mm2 on one plane,
compressive stress 35 N/mm² and complementary shear stress on the third plane. Find :
(a) the principal stresses and the positions of the planes on which they act,
(b) the positions of the planes on which there is no normal stress.
Transcribed Image Text:At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are are follows: tensile stress 50 N/mm2 and shear stress 40 N/mm2 on one plane, compressive stress 35 N/mm² and complementary shear stress on the third plane. Find : (a) the principal stresses and the positions of the planes on which they act, (b) the positions of the planes on which there is no normal stress.
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