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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A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P; = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a P: P H K
The state of stress at a point in a loaded solid is given as [5 0 2 [0]=|0 0 0 MPa 20 -5 (a) Calculate the principal stresses (b) Plot the Mohr's circles for this point and calculate the maximum shear stress (c) Determine the principal directions only for the largest principal stress.
Part B - Clockwise Rotation of a Stress Element with Only One Normal Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4) where the magnitudes of the stresses are lo, = 126 MPa and |Teul = 52 MPa. Determine the state of stress on an element rotated 110° clockwise from the element shown. Express your answers, separated by commas, to three significant figures. • View Available Hint(s) vec Or =, Oy =, Tưy = MPа, МPа, МРа Submit Previous Answers X Incorrect; Try Again; 9 attempts remaining
Answer the questions below for the following system. Young's modulus and Poison's ratio can be taken as 200 GPa and 0.3, respectively. a) Calculate and determine the stress state for point H using undergraduate level solid mechanics knowledge? b) Determine the principal stress values at point H using undergraduate level solid mechanics knowledge Top view of section where H is located O Point H 300 mm 120 mm 540 mm .H Diameter of the pipe d=36 mm P=900 N
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Consider the following plane stress state: Ox = 10 kpsi, oy= 24 kpsi, Txy36 kpsi ccw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle C is ( kpsi, kpsi). 2. Principal normal stresses (01, 02) The principal normal stresses are 01 = kpsi and o2% = kpsi. 3. Maximum shear stress (7) The maximum shear stress is kpsi. 4. The angle from the x axis to o1 (Pp) The angle from the x axis to o1 (Pp) is CCW. 5. The angle from the x axis to T (s) The angle from the x axis to T (s) is CCW. 6. The radius of the Mohr's circle The radius of the Mohr's circle is kpsi. ...
For the following data, using Mohr's circle of stress and trigonometry, (a) Find the principle stresses and show their sense in properly oriented element and (b) find the maximum (principle) shear stresses with the associated normal stresses and show the results on a properly oriented element.
For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the r axis to of. Draw stress elements as in Figure 3-11c and d and label all details. a.) sigma,x = - 12 kpsi, sigma,y = 22 kpsi, txy = 12 kpsi cw b.) sigma,x = 30 kpsi, sigma,y = -10 kpsi, txy = 10 kpsi ccw c.) sigma,x = -10 kpsi, sigma,y = 18 kpsi, txy = 9 kpsi cw Attached is an image of Figure 3-11c and d for example. THIS IS THE ONLY INFORMATION I AM PROVIDED WITH! Thank you for the help in advance!
Problem2.: The cubic element of the solid body is subject to the stress state shown in Figure, where: дх3D 50 МPа, Ту- 30 МРа, Oy Дх3D 80 MPа, Determine principal stresses using "yx both analytical method and Mohr circle, as well as principal directions (using Mohr circle only). Draw the Mohr circle and physical plane. dz dx dy
(i) Using analytical method of transformation equations; (a) The orientation of principal planes and the values of max. and min. principal stresses. Also sketch the principal planes on a rotated stress element along-with the max. and min. principal stresses on the respective planes Note:Use R=78
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