4 The state of plane strain on a differential element of material is shown below. The strains are ₂ = 0, y = -310(10-6), and Yzy = 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) €₂ € Yzy= [ΨΕΙ ΑΣΦ vec 3 @ C ? dy dy dx dx

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.4P: An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy =...
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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
Transcribed Image Text: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
Transcribed Image Text: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
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