ain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. using the strain transformation equations, determine:- The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. Sketch the deformed element within the x' - y' plane due to these strains. The stresses on the oriented planes in (i) where the value of elasticity, E = 200 GPa and Poisson's ratio n=0 32
ain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. using the strain transformation equations, determine:- The equivalent in-plane strains on an element oriented at an angle 0 = 60° counterclockwise from the original position. Sketch the deformed element within the x' - y' plane due to these strains. The stresses on the oriented planes in (i) where the value of elasticity, E = 200 GPa and Poisson's ratio n=0 32
Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Question
![(b)
A differential element on the bracket as shown in Figure Q1 is subjected to plane
strain that has the following components: ex = 150µ, ey =
200μ , γχν = -700μ.
By using the strain transformation equations, determine:-
The equivalent in-plane strains on an element oriented at an angle 0 = 60°
counterclockwise from the original position.
(ii)
Sketch the deformed element within the x' – y' plane due to these strains.
(iii)
The stresses on the oriented planes in (i) where the value of elasticity, E =
200 GPa and Poisson's ratio, v = 0.32.
(iv)
Give
your comments on those stresses in (iii) in terms of elastic limit/failure
if the material's yield strength in tension/compression is 250 MPa and in
shear is 90 MPa.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe59aab9-d846-45e4-9c85-48d1701af51d%2F8263e5b5-2ee0-4f48-93c9-883b236afd08%2Foe32nv_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
A differential element on the bracket as shown in Figure Q1 is subjected to plane
strain that has the following components: ex = 150µ, ey =
200μ , γχν = -700μ.
By using the strain transformation equations, determine:-
The equivalent in-plane strains on an element oriented at an angle 0 = 60°
counterclockwise from the original position.
(ii)
Sketch the deformed element within the x' – y' plane due to these strains.
(iii)
The stresses on the oriented planes in (i) where the value of elasticity, E =
200 GPa and Poisson's ratio, v = 0.32.
(iv)
Give
your comments on those stresses in (iii) in terms of elastic limit/failure
if the material's yield strength in tension/compression is 250 MPa and in
shear is 90 MPa.
![Figure Q1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe59aab9-d846-45e4-9c85-48d1701af51d%2F8263e5b5-2ee0-4f48-93c9-883b236afd08%2Fdru4tg7_processed.png&w=3840&q=75)
Transcribed Image Text:Figure Q1
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