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

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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.
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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
Q2. What is meant by major stresses and major levels? b An element in a plane affected by the stresses shown in the figure using the arithmetic and semi-graphical method. Calculate 1- The main stresses and their trends or levels on which they are located. - The greatest shear stress, the plane on which it lies and the associated vertical stress. - Vertical stresses if the element rotates at an angle of 20 on the main plane. B 5.000 psl 4.000 psl 15,000 psl veroo
At a point of a material, the stresses forming a two-dimensional system are shown inFigure Q1. By using Mohr's circle of stress method: -(i) determine the magnitudes of the principal stresses.(ii) determine the directions of the principal stresses.(iii) Examine the value of the maximum shearing stress.
3- A loaded structure with a two-dimensional stress state has the stress in the x-axis is 13.5 Mpa, in the y-axis is - 3.2 Mpa, and the shear stress in the x-y is - 4.4 Mpa. a) Write the stress transformation equations b) Calculate o and t for the inclination angle 0 between the n values 0 to 180°, in 15° increments. c) Draw the profile graph of normal stress and shear stress with e in the x-axis d) Obtain from the graph, the principal stresses o,, o,, and 2' maximum and minimum shear stresses Tmax and tmin e) Obtain from the graph the corresponding inclination angle Op1, Op2, Os1, and es2 for each of principal stresses and shear stresses, respectively
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.
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Learning Goal: To determine the average normal strain and average shear strain in a known material based on a given load and geometry. A flat plate ABCD distorts into the dashed shape ABCD shown after a load is applied with a (AC) v = Y Part A- Average normal strain along AC Determine the average normal strain (AC) avg along AC after the load has been applied. Express the average normal strain in millimeters per millimeter to three significant figures. View Available Hint(s) [ΕΙ ΑΣΦ 212 Yay= D Part B - Average shear strain at A Submit It vec ^ d C Yzy = Determine the average shear strain Yay at A relative to the x and y axes. Express the average shear strain in radians to three significant figures. ► View Available Hint(s) 15. ΑΣΦ ? ↓↑ vec Part C Average shear strain at point C 163.0 mm, b= 49.0 mm, 9 - 11.0 mm. f-18.0 mm, and e = 14.0 mm 195| ΑΣΦ | 41 mm/mm vec wwwww. Determine the average shear strain Yay at point C relative to the x and y axes after deformation. Express the average…
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.