Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘. B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘. C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.
Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘. B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘. C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.
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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Suppose that σx = 42 MPa
A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘.
B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘.
C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.
Transcribed Image Text:The image displays a square object with forces acting upon it. There are arrows pointing in and out from the center of each side of the square:
1. **Horizontal Forces**:
- A force labeled as \( \sigma_x \) is acting on the right side of the square, pointing towards the right.
- An equivalent force is acting on the left side, pointing towards the left.
2. **Vertical Forces**:
- A force labeled as 15 MPa is acting on the bottom side of the square, pointing downward.
- An equivalent force is acting on the top side, pointing upward.
This diagram represents a two-dimensional state of stress, often used in materials science and engineering to analyze stress distribution in materials. The notation \( \sigma_x \) denotes stress and is typically expressed in megapascals (MPa), a unit of pressure or stress. The arrows indicate the directions in which these stresses are applied to the material.
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