Principal Stresses and Maximum In-Plane Shear Stress 3 of 6 Learning Goal: To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. Part A - Orientation of the planes of maximum and minimum normal stress The element of material below is subjected to the state of stress shown, where a = 104.0 MPa, b = 66.00 MPa, and c = 18.00 MPa (Figure 1) Determine the orientation of the planes of maximum and minimum normal stress, 8 and 0.a. respectively. Use the value for O that is negative. Then use this value to determine the value of Figure <1 of 1 Express your answers to four significant figures separated by a comma. > View Available Hint(s) Op1, Op2 66.37.-23.63 ", Previous Answers All attempts used; correct answer displayed Part B- In-plane principal stresses

Principal Stresses and Maximum In-Plane Shear Stress 3 of 6 Learning Goal: To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress. Part A - Orientation of the planes of maximum and minimum normal stress The element of material below is subjected to the state of stress shown, where a = 104.0 MPa, b = 66.00 MPa, and c = 18.00 MPa (Figure 1) Determine the orientation of the planes of maximum and minimum normal stress, 8 and 0.a. respectively. Use the value for O that is negative. Then use this value to determine the value of Figure <1 of 1 Express your answers to four significant figures separated by a comma. > View Available Hint(s) Op1, Op2 66.37.-23.63 ", Previous Answers All attempts used; correct answer displayed Part B- In-plane principal stresses

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

See similar textbooks

Related questions

Q: The state of stress in a body is uniform and is given by: 0xx = 3MPa ; Txy = 2 MPa; Txz = 4MPa Tyy =…

A: Given state of stress in the matrix formgiven stress Tensor for the above matrix the eigen values…

Q: Q2 The state of stress at a point of an elastic solid is given in the x-yz coordinates by: (a)…

A: (a) Write the given matrix. σ=σxxσxyσxzσyxσyyσyzσzxσzyσzz=901800180240000120 MPa

Q: Select all the TRUE statements about the stresses in thin-walled spherical pressure vessels. The…

A: For thin-spherical pressure vessel, when the vessel is not pressurized it is assumed that…

Q: The internal loadings at a section of the beam in Elouce.1) are shown Figure 100 mm 0 mm 200 mm 10…

A: Given: Fx=-80 kNFy=60 kNMy=500 N.mMz=10 kN.m=10×106N.mm

Q: Draw and label a entire Free-body diagram of THE BLOCK

A: Given: TO draw FBD of the block

Q: A steel pipe has an inside diameter of d = 250 mm and an outside diameter of D = 268 mm. The length…

Q: Learning Goal: To calculate the shear stress at a point in the web of an l- beam section subjected…

A: To Find : The moment of inertia of the whole cross sectionThe value of QThe shear stress at a point…

Q: The state of stress at a given point is given in the following figure. Use Mohr’s circle to find: a)…

Q: Learning Goal: To analyze an axially loaded cable on a suspension bridge and when given a specific…

A: The objective of the question is to calculate the normal strain in the cable and the shear strain at…

Q: Determine (a) the principal stresses, and (b) the maximum in-pla he associated average normal…

A: To Find : The principal stress. Given : The axial stress in x direction is σx=-140MPa The shear…

Q: 2- A compound shaft consists of two segments. Segment (1) is a tube with a length of L, = 500 mm, an…

Q: Q: The soil element with known stress conditions is shown in following figure. (i) construct Mohr's…

A: “Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: 3) Solve the plane stress problem using two-element model to find displacements and stresses. 15 kN…

Q: Don't use chat gpt It Chatgpt means downvote

A: Approach to solving the question:The question involves calculating the displacement of the upper…

Q: ness of 20 mm and the force P = 3 kN acts along the centerline of this thickness such that d = 150…

A: The area and the moment of inertia is-The distance of the top and bottom fiber from the centroidal…

Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

<HW-9
Principal Stresses and Maximum In-Plane Shear Stress
3 of 6
Learning Goal:
To determine the in-plane principal stresses and
maximum shear stress along with their orientations and
the average normal stress for an element in a given
state of plane stress.
Part A - Orientation of the planes of maximum and minimum normal stress
The element of material below is subjected to the state
of stress shown, where a = 104.0 MPa, b= 66.00
MPa, and c = 18.00 MPa (Figure 1)
Determine the orientation of the planes of maximum and minimum normal stress, 81 and ,2.
respectively. Use the value for 0,2 that is negative. Then use this value to determine the value of
Figure
1 of 1
Express your answers to four significant figures separated by a comma.
> View Available Hint(s)
Op1, 0,2 = 66.37-23.63 ", *
Previous Answers
All attempts used; correct answer displayed
Part B - In-plane principal stresses
.pdf
Tümünü göster

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the stress resultants N(x), V(x), M(x) and draw the diagrams of the stress resultants and calculate the extremal values. At first, consider all parameters (F, a, L, ...) as variables and fill in their actual values at the end of your calculation.
The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 [0]=0, MPa = 180 240 yx yy 120 zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. e
The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the x-y plane. F) Determine the magnitude of the absolute maximum shear stress (and include the two out of plane circles on your original figure). Use the following values for the magnitudes of the stresses: x = 0₂ Txy Ox X X 10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi
The following question does not violate the honor policy as it is an after class practice problem not to be used on homework or any sort of test. I am looking for help with this problem solving for all 4 parts. I have some confusion regarding the angles these forces are acting in.
Part C - Counterclockwise Rotation of a Stress Element The state of stress at a point in a member is shown on the rectangular stress element in (Figure 5) where the magnitudes of the stresses are |o₂| = 16 ksi, |oy| 29 ksi, and Try = 8 ksi Determine the state of stress on an element rotated 50° counterclockwise from the element shown. Express your answers, separated by commas, to three significant figures. ► View Available Hint(s) 02 Oy, Tz'y' Submit - VE ΑΣΦ ↓↑ vec Part D-Clockwise Rotation of a Stress Element with No Shear Stress ? ksi, ksi, ksi The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are ₂ = 13 ksi and|oy| = 12 ksi Figure Part A - State of Stress on an Inclined Plane <
q1 b In 2D XY-plane-stress analysis, how many stress components you need to calculate.Please write/show their names in XY plane on a plane element.