Homework Answers
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...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
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)...
The state of stress at a point A is given in the figure below. Determine.(a) and...
The state of stress at a point A is given in the figure below. Determine.(a) and the orientation at which they act, and (b) the maximum in-plane shear stress and the corresponding normal stress, and the orientation at which they act. Show graphically both (30p) principal stresses ataA 0.73 MPa 0.32 MPa
Please show all work! Thank you! Determine the equivalent state of stress on an element at...
Please show all work! Thank you!
Determine the equivalent state of stress on an element at the point which represents the principal stresses and 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 in the figure below. Solve the problem using Mohr's circle. (Figure 1) Part D Determine the shear stress Try that acts on the element with orientation 0 =...
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)
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...
+ 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
LESSUI 9.3 Problem 9.19 Part D Determine the equivalent state of stress on an element at...
LESSUI 9.3 Problem 9.19 Part D Determine the equivalent state of stress on an element at the same point which represents the principal stress, and 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 in the figure below. Suppose that T = 24 MPa (Figure 1) Determine the shear stress Try that acts on the element with orientation 0 .12.8° Express...
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.
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...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
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)...
The state of stress at a point A is given in the figure below. Determine.(a) and the orientation at which they act, and (b) the maximum in-plane shear stress and the corresponding normal stress, and the orientation at which they act. Show graphically both (30p) principal stresses ataA 0.73 MPa 0.32 MPa
Please show all work! Thank you!
Determine the equivalent state of stress on an element at the point which represents the principal stresses and 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 in the figure below. Solve the problem using Mohr's circle. (Figure 1) Part D Determine the shear stress Try that acts on the element with orientation 0 =...
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)
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...
+ 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
LESSUI 9.3 Problem 9.19 Part D Determine the equivalent state of stress on an element at the same point which represents the principal stress, and 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 in the figure below. Suppose that T = 24 MPa (Figure 1) Determine the shear stress Try that acts on the element with orientation 0 .12.8° Express...
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.
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