4The state of plane strain on a differential element of material is shown below. The strains are € = 0, y = -310(10-6), and Yay = 175(10-6).Part A - Equivalent Strains on an Oriented ElementDetermine the equivalent strains on an element oriented 35.0° counterclockwise from the differential element shown.Express your answers, separated by commas, to three significant figures.View Available Hint(s)ETE, Yzy=IVE ΑΣΦvecWOR?E, dydyYay2dxYxy-Edr Part B - Principal Strains on the Oriented ElementDetermine the in-plane principal strains on the oriented element.Express your answers, separated by a comma, to three significant figures.► View Available Hint(s)€1=, €2=SubmitVO ΑΣΦ ↓↑ vecPart C - Maximum In-Plane Shear Strain and Associated Average Normal Strainmaxin plane, Eavg?Determine the maximum in-plane shear strain and the associated average normal strain on the oriented element.Express your answers, separated by a comma, to three significant figures.► View Available Hint(s)— ΑΣΦ ↓1 vec?2

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Answered: 4 The state of plane strain on a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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4
The state of plane strain on a differential element of material is shown below. The strains are € = 0, y = -310(10-6), and Yay = 175(10-6).
Part A - Equivalent Strains on an Oriented Element
Determine the equivalent strains on an element oriented 35.0° counterclockwise from the differential element shown.
Express your answers, separated by commas, to three significant figures.
View Available Hint(s)
ETE, Yzy
=
IVE ΑΣΦ
vec
WOR
?
E, dy
dy
Yay
2
dx
Yxy
-Edr

Part B - Principal Strains on the Oriented Element
Determine the in-plane principal strains on the oriented element.
Express your answers, separated by a comma, to three significant figures.
► View Available Hint(s)
€1=, €2=
Submit
VO ΑΣΦ ↓↑ vec
Part C - Maximum In-Plane Shear Strain and Associated Average Normal Strain
max
in plane, Eavg
?
Determine the maximum in-plane shear strain and the associated average normal strain on the oriented element.
Express your answers, separated by a comma, to three significant figures.
► View Available Hint(s)
— ΑΣΦ ↓1 vec
?
2

Expert Solution

Step 1: Determine the given variable

$epsilon subscript x equals 0 epsilon subscript y equals negative 310 cross times 10 to the power of negative 6 end exponent gamma subscript x y end subscript equals 175 cross times 10 to the power of negative 6 end exponent theta equals 35 to the power of 0 T o space d e t e r m i n e colon P a r t A colon E q u i v a l e n t space i n space p l a n e space s t r a i n s space o n space t h e space o r i e n t e d space space e l e m e n t P a r t B colon P r i n c i p a l space s t r a i n space o n space t h e space o r i e n t e d space e l e m e n t P a r t C colon M a x i m u m space i n space p l a n e space s h e a r space s t r a i n space a n d space a v e r a g e space n o r m a l space s t r a i n$

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