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.
Homework Answers
Partially sovled due to missing of figure in part b
part a)
Principal stresses are the resultant of normal stress and shear stress acting on an element. Principal plane are the plane in an element where only normal stress acts (i.e principal stress) and has no shear stress acting on that plane.
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a) What are the principal stresses and when do they occur.
b) A stress element has...
50 MPa 3. For the shown stress block: a) b) Find the Principal Stresses Find the angle of the Principal Stresses from the given orientation (Ans: 18.43" and 108.4 (+90* from the first angle) Find...
50 MPa 3. For the shown stress block: a) b) Find the Principal Stresses Find the angle of the Principal Stresses from the given orientation (Ans: 18.43" and 108.4 (+90* from the first angle) Find the maximum shear stress and the corresponding average normal stress (Partial Ans: maximum shear stress 25 MPa) Find the angle θ,of the maximum shear stress from the given orientation. 15 MPa 10 MPa c) d)
50 MPa 3. For the shown stress block: a) b)...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40 degrees in the anti-clockwise direction as shown in Figure Q4(a). (8 marks) (b) By using Mohr Circle, determine and sketch; all the stresses (Ox, O, and tyy) of the same element in the orientation as shown in Figure Q4(b). (4 marks) (i) the principal stress and its orientation. (4 marks) (i) the maximum shear stress, the corresponding normal stress, and its orientation. (4 marks)...
a) The state of stress at a point is shown on the element in Figure Q4(a)...
a) The state of stress at a point is shown on the element in Figure Q4(a) Deternine i) The principal stresses (in-plane) and the corresponding principal planes; 1) The maximum in-plane shear stress and the orientation of the corresponding plane as well as the normal stress on that plane. 60 MPa 30 MPa 45 MPa Figure Q4(a)
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following...
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following data sets give the stresses on the initial stress element (ox=300 MPa; Oy=-100 MPa; Txy=80MPa CW). Perform the following operations: (a) Draw the complete Mohr's circle, labeling critical points including 01, 02, Tmax, and Oavg. (b) On Mohr's circle, indicate which line represents the x-axis on the initial stress element. (c) On Mohr's circle, indicate the angles from the line representing the x-axis to...
Q3. (30 points) For the state of plane stress shown, Stresses, σ. σ2 (b) the orientation of the p...
please help me solve this whole mechanical design
problem
thanks
Q3. (30 points) For the state of plane stress shown, Stresses, σ. σ2 (b) the orientation of the principal stresses, s, (c) the maximum in plane shearing stress, Tmar and (d) its orientation, p. (e) the normal stress at the plane of maximum shear stress, (1) sketch of the rotated plane element for the principal stresses and the rotated plane element for maximum shear stress similar to figure 1, below...
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...
Draw and use Mohr's circle to determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress
Draw and use Mohr's circle to determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case.
Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use...
Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the o axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on stress elements...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the oi axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the oi axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on...
50 MPa 3. For the shown stress block: a) b) Find the Principal Stresses Find the angle of the Principal Stresses from the given orientation (Ans: 18.43" and 108.4 (+90* from the first angle) Find the maximum shear stress and the corresponding average normal stress (Partial Ans: maximum shear stress 25 MPa) Find the angle θ,of the maximum shear stress from the given orientation. 15 MPa 10 MPa c) d)
50 MPa 3. For the shown stress block: a) b)...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40 degrees in the anti-clockwise direction as shown in Figure Q4(a). (8 marks) (b) By using Mohr Circle, determine and sketch; all the stresses (Ox, O, and tyy) of the same element in the orientation as shown in Figure Q4(b). (4 marks) (i) the principal stress and its orientation. (4 marks) (i) the maximum shear stress, the corresponding normal stress, and its orientation. (4 marks)...
a) The state of stress at a point is shown on the element in Figure Q4(a) Deternine i) The principal stresses (in-plane) and the corresponding principal planes; 1) The maximum in-plane shear stress and the orientation of the corresponding plane as well as the normal stress on that plane. 60 MPa 30 MPa 45 MPa Figure Q4(a)
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following data sets give the stresses on the initial stress element (ox=300 MPa; Oy=-100 MPa; Txy=80MPa CW). Perform the following operations: (a) Draw the complete Mohr's circle, labeling critical points including 01, 02, Tmax, and Oavg. (b) On Mohr's circle, indicate which line represents the x-axis on the initial stress element. (c) On Mohr's circle, indicate the angles from the line representing the x-axis to...
please help me solve this whole mechanical design
problem
thanks
Q3. (30 points) For the state of plane stress shown, Stresses, σ. σ2 (b) the orientation of the principal stresses, s, (c) the maximum in plane shearing stress, Tmar and (d) its orientation, p. (e) the normal stress at the plane of maximum shear stress, (1) sketch of the rotated plane element for the principal stresses and the rotated plane element for maximum shear stress similar to figure 1, below...
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...
Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the o axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on stress elements...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the oi axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on...
Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the oi axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on...
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