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Section A QA1 At a point on the surface of a metal working lathe, stresses, Os...
Using Mohr's circle determine for the below differential element: a) the principal stresses and the plan...
Using Mohr's circle determine for the below differential
element:
a) the principal stresses and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
b) the maximum shear stress and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
c) the stresses on a differential element 40 degrees clockwise
from the original element. Show the stresses on a properly oriented
differential element. Label...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
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...
Please draw each point PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa...
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
Using Mohr's circle determine for the below differential
element:
a) the principal stresses and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
b) the maximum shear stress and the plan on which they act. Show
the stresses on a properly oriented differential element. Label all
stresses.
c) the stresses on a differential element 40 degrees clockwise
from the original element. Show the stresses on a properly oriented
differential element. Label...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...
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 draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to make it Safe? 0x = 500...
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