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Question 3 If the state of stress (in unit of MPa) at a point in a...
16 QUESTION 3: At Point A on a concrete wall, the state of stress duc to...
16 QUESTION 3: At Point A on a concrete wall, the state of stress duc to the indicated loading condition is shown below on the right. Using the Mohr's Circle method, determine the following stresses and illustrate the orientation and direction of the stresses on a sketch: a) The principal normal stresses; and b) The normal and shear stresses on a plane defined by Line b-b. Note: The stress transformation equations, rather than Mohr's circle, can be used, however there...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stre...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
+ 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 on a body can be depicted by the...
The state of plane stress at a point on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
0 The state of stress at a point in a body is specified by the following...
0 The state of stress at a point in a body is specified by the following stress components: = 110MPa = 60MPa , = -86 MPa 0 = 55 MPa Determine the principal stresses, direction cosines of the principal stress directions and the maximum shearing stress.
The state of stress at a point on a body is given by the following stress...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
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
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.
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...
Question 2 The stresses shown act at a point in a stressed body. Assume stress magnitudes...
Question 2 The stresses shown act at a point in a stressed body. Assume stress magnitudes of Sx-83 MPa, Sy-54 MPa, Sxy-33 MPa, and β = 67°. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and τ (magnitude only) at this point on the inclined plane shown. Answers: MPa.
16 QUESTION 3: At Point A on a concrete wall, the state of stress duc to the indicated loading condition is shown below on the right. Using the Mohr's Circle method, determine the following stresses and illustrate the orientation and direction of the stresses on a sketch: a) The principal normal stresses; and b) The normal and shear stresses on a plane defined by Line b-b. Note: The stress transformation equations, rather than Mohr's circle, can be used, however there...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
+ 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 on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
0 The state of stress at a point in a body is specified by the following stress components: = 110MPa = 60MPa , = -86 MPa 0 = 55 MPa Determine the principal stresses, direction cosines of the principal stress directions and the maximum shearing stress.
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
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
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.
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...
Question 2 The stresses shown act at a point in a stressed body. Assume stress magnitudes of Sx-83 MPa, Sy-54 MPa, Sxy-33 MPa, and β = 67°. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and τ (magnitude only) at this point on the inclined plane shown. Answers: MPa.
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