For a point under a plane state of stress, the stresses on the vertical and horizontal planes are shown in the figure below. 100 MPa 48° 80 MPa 60 MPa Using only the stress transformation EQUATIONS, determine the following: a) The normal stresses on the plane oriented along plane a-b. a,'= b) The shear stress on the plane oriented along plane a-b c) The locations of the principal planes (express your answers as angles made by the principal planes with respect to the horizontal) Op2= d) The principal stresses Opi= Op2= e) The maximum in-plane shear stress Tmaxip= Show the results of both stresses in plane a-b and principal planes on a sketch of the plane on which these stresses act.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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For a point under a plane state of stress, the stresses on the vertical and
horizontal planes are shown in the figure below.
100 MPa
48°
80 MPa
60 MPa
Using only the stress transformation EQUATIONS, determine the following:
a) The normal stresses on the plane oriented along plane a-b.
o, =
b) The shear stress on the plane oriented along plane a-b
Ty'=
c) The locations of the principal planes (express your answers as angles made by the
principal planes with respect to the horizontal)
Op2=
d) The principal stresses
Op1=
Op2=
e) The maximum in-plane shear stress
Tmaxip=
Show the results of both stresses in plane a-b and principal planes on a sketch of the
plane on which these stresses act.
Transcribed Image Text:For a point under a plane state of stress, the stresses on the vertical and horizontal planes are shown in the figure below. 100 MPa 48° 80 MPa 60 MPa Using only the stress transformation EQUATIONS, determine the following: a) The normal stresses on the plane oriented along plane a-b. o, = b) The shear stress on the plane oriented along plane a-b Ty'= c) The locations of the principal planes (express your answers as angles made by the principal planes with respect to the horizontal) Op2= d) The principal stresses Op1= Op2= e) The maximum in-plane shear stress Tmaxip= Show the results of both stresses in plane a-b and principal planes on a sketch of the plane on which these stresses act.
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