Homework Answers
The stress component acting along inclined plane AB are :
Normal stresses are : (-3+2)/2±sqrt(((-3-2)/2)²+4²)cos(30)
= -4.58 ksi,3.58 ksi
Shear stress: sqrt(((-3-2)²+4²) sin(30) = 2.36 ksi
Principal stress : (-3+2)/2±sqrt(((-3-2)/2)²+4²)
= -5.21 ksi, 4.21 ksi
Maximum in plane shear stress : ( 4.21+5.21)/2
= 4.71 ksi clockwise
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The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. (a) Determine the principal...
The state of stress at a point is shown on the element. (a) Determine the principal stress at the point. Specify the associated orientation and indicate the results on an element at the point. (b) Determine the maximum in-plane shear stress at the point. Specify the associated orientation and indicate the results on an element at the point. (c) Determine the state of stress on an element at the same point oriented 40° clockwise with respect to the element shown....
Problem 2 The state of stress at a point is shown on the element. Determine (a...
Problem 2 The state of stress at a point is shown on the element. Determine (a in-plane sheat the principal stress and (b) the maximum ess and average normal stress at the point. Specify the orientation of the element in each case. ー30ksi 12 ksi
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB...
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB as shown in Figure 7. Solve the problem using the stress transformation equations. Show the result on the sectioned element. B 45 MPa 80 MPa 45° Figure 7 [4 marks) Determine the principal stress, the maximum in-plane shear stress, and average normal stress for Figure 8. Specify the orientation of the element in each case. b) 200 MPa 500 MPa 350 MPa Figure 8
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
Problem 6 (15 points) The state of plane stress at a point is shown on the...
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa;...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa; and unknown shear stress, The maximum principal stress was determined to be 104.34 MPa. Using Mohr's cirdle, determine a. the magnitude of the shear stress, b. the principal plane and the minimum principal stress. Then, sketch the element showing all stresses in its proper orientation, c. the maximum shear stress, associated normal stress and the orientation of the element. Then, sketch the element showing...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the ori...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
+ 25 MPa Determine the equivalent state of stress on an element at the same point...
+ 25 MPa Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. - 100 MPa
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...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. (a) Determine the principal stress at the point. Specify the associated orientation and indicate the results on an element at the point. (b) Determine the maximum in-plane shear stress at the point. Specify the associated orientation and indicate the results on an element at the point. (c) Determine the state of stress on an element at the same point oriented 40° clockwise with respect to the element shown....
Problem 2 The state of stress at a point is shown on the element. Determine (a in-plane sheat the principal stress and (b) the maximum ess and average normal stress at the point. Specify the orientation of the element in each case. ー30ksi 12 ksi
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB as shown in Figure 7. Solve the problem using the stress transformation equations. Show the result on the sectioned element. B 45 MPa 80 MPa 45° Figure 7 [4 marks) Determine the principal stress, the maximum in-plane shear stress, and average normal stress for Figure 8. Specify the orientation of the element in each case. b) 200 MPa 500 MPa 350 MPa Figure 8
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
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa; and unknown shear stress, The maximum principal stress was determined to be 104.34 MPa. Using Mohr's cirdle, determine a. the magnitude of the shear stress, b. the principal plane and the minimum principal stress. Then, sketch the element showing all stresses in its proper orientation, c. the maximum shear stress, associated normal stress and the orientation of the element. Then, sketch the element showing...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
+ 25 MPa Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. - 100 MPa
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...
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