Part A - Orientation of the planes of maximum and minimum normal stressALearning Goal:To determine the in-plane principal stresses and maximum shearstress along with their orientations and the average normal stress foran element in a given state of plane stress.Determine the orientation of the planes of maximum and minimum normal stress, On1 and 0,2, respectively. Use the value for 0,2 that is negative. Then use this value todetermine the value of 0,1Express your answers to four significant figures separated by a comma.• View Available Hint(s)The element of material below is subjected to the state of stressshown, where a = 114.0 MPa , b = 56.00 MPa, and c = 22.00 MPa-(Figure 1)ΥΠ ΑΣφ?vecOp1, Op2 =SubmitPart B - In-plane principal stressesВDetermine the in-plane principal stresses for the element (as oriented in Part A), and calculate o1 and oz such that they correspond with 0p1 and 0,2.Express your answers to four significant figures separated by a comma.• View Available Hint(s)Πνα ΑΣφ?vec01, 02 =MРа, МPаFigure< 1 of 1SubmitPart D - Maximum in-plane shear stress and average normal stressC- PartC- Orientation of the element subjected to maximum shear stress on its sidesDetermine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part C.Determine the orientation, 022 of the element subjected to maximum shear stress on itsleft and right sides. Use the value for e,2. that is positive.Express your answers to four significant figures separated by a comma.• View Available Hint(s)Express your answer to four significant figures and include the appropriate units.• View Available Hint(s)vecHAMРа, МPа-max='in plane TavgO,2 =ValueUnits

σx=-22Mpaσy=114Mpaτxy=56MpaRadius of the circleR=(σx-σy2)2+τxy2R=(-22-1142)2+562R=88.09…

• Part A- Orientation of the planes of maximum and minimum normal stress A 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. Determine the orientation of the planes of maximum and minimum normal stress, a and a. respectively. Use the value for 8a that is negative. Then use this value to determine the value of 8- Express your answers to four significant figures separated by a comma. > View Available Hint(s) The element of material below is subjected to the state of stress shown, where a = 114.0 MPa, 6= 56.00 MPa, and e= 22.00 MPa Eigure 1) 1, e Submit

• Part A- Orientation of the planes of maximum and minimum normal stress A 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. Determine the orientation of the planes of maximum and minimum normal stress, a and a. respectively. Use the value for 8a that is negative. Then use this value to determine the value of 8- Express your answers to four significant figures separated by a comma. > View Available Hint(s) The element of material below is subjected to the state of stress shown, where a = 114.0 MPa, 6= 56.00 MPa, and e= 22.00 MPa Eigure 1) 1, e Submit

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 2 ksi in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 7 MPa in size. (a) Determine the stresses ox, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses On, O, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). y
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 680 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 ksi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 11 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of T,xyand show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 600 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
ANSWER THE PROBLEM QUESTION AND SHOW YOUR SOLUTION CLEARLY AND BOX THE FINAL ANSWER. USE 2 DECIMAL PLACES
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand show them on a stress element. (b) Determine the stresses on, Ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: МPа (a) ox = MPa Oy = MPа Ty = MPa ( b) ση MPa Ot = MPа Tnt =
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 340 psi in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 880 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 320 psi in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). X D C y b
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 740 psi in size. (a) Determine the stresses o,, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g. see Figure 12.15 or Figure 12.16). y