Mohr’s circle
Use Mohr’s circle to determine the principal stresses
at the point. Also, find the corresponding orientation of the
element with respect to the element shown.
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Question 1. For each of the plane-stress conditions given below, construct a Mohr’s circle of stress,...
Question 1. For each of the plane-stress conditions given below, construct a Mohr’s circle of stress, find the principal stresses and the orientation of the principal axes relative to the x,y axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) σx = 200 MPa σy = 300 MPa τxy = - 40 MPa (b) σx = 500 MPa σy = -80 MPa τxy = 400 MPa Question 2. For...
a) What are the principal stresses and when do they occur. b) A stress element has...
a) What are the principal stresses and when do they occur. b) A stress element has MPa, and MPa as shown in Figure 2.QA2. i- Find the principal stresses and orientation. ii- Maximum shear stress. iii- Draw the corresponding Mohr’s circle.
23 Mohrs circle The state of plane stress at a point is represented by the element...
23 Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine maximum shear stresses and the orientation, draw the stress element with the proper orientation. Determine principal stresses and the orientation, draw the stress element with the proper orientation (Note: this question is required to be solved using Mohrs circle.) Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine...
Problem 2 (8pts) Sketch Mohr circle for the shown element. Use Mohr Circle to determine the...
Problem 2 (8pts) Sketch Mohr circle for the shown element. Use Mohr Circle to determine the normal stresses on and Ot and the shear stress Tnt at this point if they act on the rotated stress element shown. Verify your results (on, i, Tnt) using stress transformation eqns. 1,100 psi 1,750 psi 20° 2,900 psi Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, orientation of principal stresses Opi and...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane stress there are normal and shear stresses on horizontal and vertical planes through the point, as shown. Determine the principal stresses, the maximum in-plane shear stress and associated average normal stress at the point. Also, for each case, determine the corresponding orientation of the element with respect to the element shown.
The state of plane stress at a point under the surface of the ANKA airplane wing...
The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
with drawings Question 4 (CLO5) (6 points) The state of the stress at a point is...
with drawings
Question 4 (CLO5) (6 points) The state of the stress at a point is shown on the element. Determine the following: (a) The principal stresses, and the corresponding orientation of the element (b) The maximum in-plane shear stress and the associated average normal stress at the point. Show the corresponding orientation of the element. (c) Using Mohr's circle (only), determine the stress components at the same point on another element oriented 30° counterclockwise from the position shown. Draw...
Question 4 20 pts Determine the equivalent state of stress on an element at the point...
Question 4 20 pts Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the associated (c)average normal stress. Also, for each case, determine the corresponding "orientation" (angles) of the element with respect to the element shown and sketch the results on the element. 80 MPa 40 MPa Upload Choose a File
Must draw Mohr’s circle in this question 3) For the stress state shown to the right,...
Must draw Mohr’s circle in this question
3) For the stress state shown to the right, determine (a) the three principal stresses, and (b) the maximum shear stress. (Hint: consider this as a 3D problem, similar to in-class 3D example problem.) Ans: (a) Onui = 220 MPa, Ontermediate = 60 MPa, Onlin-0, (b)T,nax = 1 10 MPa 140 MPa 80 MPa 140 MPa 140 MPa 140 MPa
3. The state of plane stress at a point is shown on the element below. Construct...
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
23 Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine maximum shear stresses and the orientation, draw the stress element with the proper orientation. Determine principal stresses and the orientation, draw the stress element with the proper orientation (Note: this question is required to be solved using Mohrs circle.) Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine...
Problem 2 (8pts) Sketch Mohr circle for the shown element. Use Mohr Circle to determine the normal stresses on and Ot and the shear stress Tnt at this point if they act on the rotated stress element shown. Verify your results (on, i, Tnt) using stress transformation eqns. 1,100 psi 1,750 psi 20° 2,900 psi Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, orientation of principal stresses Opi and...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane stress there are normal and shear stresses on horizontal and vertical planes through the point, as shown. Determine the principal stresses, the maximum in-plane shear stress and associated average normal stress at the point. Also, for each case, determine the corresponding orientation of the element with respect to the element shown.
The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
with drawings
Question 4 (CLO5) (6 points) The state of the stress at a point is shown on the element. Determine the following: (a) The principal stresses, and the corresponding orientation of the element (b) The maximum in-plane shear stress and the associated average normal stress at the point. Show the corresponding orientation of the element. (c) Using Mohr's circle (only), determine the stress components at the same point on another element oriented 30° counterclockwise from the position shown. Draw...
Question 4 20 pts Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the associated (c)average normal stress. Also, for each case, determine the corresponding "orientation" (angles) of the element with respect to the element shown and sketch the results on the element. 80 MPa 40 MPa Upload Choose a File
Must draw Mohr’s circle in this question
3) For the stress state shown to the right, determine (a) the three principal stresses, and (b) the maximum shear stress. (Hint: consider this as a 3D problem, similar to in-class 3D example problem.) Ans: (a) Onui = 220 MPa, Ontermediate = 60 MPa, Onlin-0, (b)T,nax = 1 10 MPa 140 MPa 80 MPa 140 MPa 140 MPa 140 MPa
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
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