The figure (not drawn to scale) shows a state of stress in a xy frame of reference. We wish to calculate the state of stress in the rotated frame of reference x'y. Given Angle of rotation 34 direct stresses σ,-0 MPa and σ,--20 MPa, shear stress Tay95 MPa calculate the state of stress in the rotated frame of reference
Homework Answers
Normal stress in rotated frame = -94.33 Mpa
Shear stress in rotated frame = 44.8594 Mpa
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The question in vu frame of reference The figure (not drawn to scale) shows a state of stress in a xy frame of refe...
Question 1 You have a plane stress problem with the following stresses: In the x-direction a...
Question 1 You have a plane stress problem with the following stresses: In the x-direction a normal stress of 15 MPa, In the y-direction a normal stress of 38 MPa, and a shear of 89 MPa. What is the normal stress (MPa) in the y direction if we rotate our reference 55 degrees? Selected Answer: [None Given] Correct Answer: e-61.066 2% Question 2 Given a plane stress loading what is the angle in degrees to the maximum shear? σ,-98 MPa,...
The Question The above figure (not drawn to scale) shows a rectangular beam with a depth...
The Question The above figure (not drawn to scale) shows a rectangular beam with a depth of d = 32mm and breadth of b = 50mm subjected to a combined loading of F = 50kN direct load and M-150Nm bending load. The bending moment is acting about the depth of the beam (causing it to bend about its depth, d). Calculate the second moment of area, I, in m in the form ax 10"" where the number a is correct...
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...
the stresses change according to the reference system in place, the normal stress along the y...
the stresses change according to the reference system in place, the normal stress along the y axis is 0 if certain criteria are met, what are they? and the xy axes of the image how would they be used?This boat is normally used to tow medium-sized ships in short trips from the bay to the port, but a change of propeller to increase the load it can drag. Since the tug was purchased second hand, some important blueprints and design...
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....
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...
The figure on the left below shows a stress block (plane strain condition is assumed, z...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
SX= 204MPa SY= -12MPa 2. Figure 2 shows a tubular joint subjected to moment M and...
SX= 204MPa
SY= -12MPa
2. Figure 2 shows a tubular joint subjected to moment M and P. Due to these CLO4 loads, an element of the joint in xy plane ABCD has stress system shown in Figure 3. The values of the stresses are Oxx = SX , Oyy = SY, and Txy = 45 MPa. The values and units of measure for the stresses are as given in the data sheet. Construct Mohr's circle for the stress systems to...
O 0 % The state of stress at a point can be described by = 20...
O 0 % The state of stress at a point can be described by = 20 MPa., 52 MPa , and T = 12 MPa. A second coordinate system is rotated by = 25° as shown (Figure 4 Part A - Calculate sigma_{x} What is the normal stress in the direction of the axis? Express your answer with appropriate units to three significant figures. HA OB? 02= Value Units Submit Request Answer Part B - Calculate tau_(XY) direction? What is...
Learning Goal: To be able to identify the initial stresses and the angle of rotation, including t...
Learning Goal: To be able to identify the initial stresses and
the angle of rotation, including the correct signs, and use these
in the stress-transformation equations to find the stress on a
plane or element at a different angle than the original. The method
of calculating the state of stress on an inclined plane is tedious,
prone to error, and incomplete—if we calculate σx′ and τx′y′, we
have to do a separate calculation to determine σy′. Consider the
stress element...
Question 1 You have a plane stress problem with the following stresses: In the x-direction a normal stress of 15 MPa, In the y-direction a normal stress of 38 MPa, and a shear of 89 MPa. What is the normal stress (MPa) in the y direction if we rotate our reference 55 degrees? Selected Answer: [None Given] Correct Answer: e-61.066 2% Question 2 Given a plane stress loading what is the angle in degrees to the maximum shear? σ,-98 MPa,...
The Question The above figure (not drawn to scale) shows a rectangular beam with a depth of d = 32mm and breadth of b = 50mm subjected to a combined loading of F = 50kN direct load and M-150Nm bending load. The bending moment is acting about the depth of the beam (causing it to bend about its depth, d). Calculate the second moment of area, I, in m in the form ax 10"" where the number a is correct...
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...
the stresses change according to the reference system in place, the normal stress along the y axis is 0 if certain criteria are met, what are they? and the xy axes of the image how would they be used?This boat is normally used to tow medium-sized ships in short trips from the bay to the port, but a change of propeller to increase the load it can drag. Since the tug was purchased second hand, some important blueprints and design...
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....
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...
The figure on the left below shows a stress block (plane strain condition is assumed, z axis is not shown here). Its components as well as the material properties are, • 0,= 10 MPa . O, is currently unknown • Txy = 30 MPa • Young's Modulus E = 150 GPa • Poisson's Ratio V=-0.25 • Note: Poisson's Ratio is negative Rotate the x-y axes in the anticlockwise direction by 45° (as shown in the figure on the right below),...
SX= 204MPa
SY= -12MPa
2. Figure 2 shows a tubular joint subjected to moment M and P. Due to these CLO4 loads, an element of the joint in xy plane ABCD has stress system shown in Figure 3. The values of the stresses are Oxx = SX , Oyy = SY, and Txy = 45 MPa. The values and units of measure for the stresses are as given in the data sheet. Construct Mohr's circle for the stress systems to...
O 0 % The state of stress at a point can be described by = 20 MPa., 52 MPa , and T = 12 MPa. A second coordinate system is rotated by = 25° as shown (Figure 4 Part A - Calculate sigma_{x} What is the normal stress in the direction of the axis? Express your answer with appropriate units to three significant figures. HA OB? 02= Value Units Submit Request Answer Part B - Calculate tau_(XY) direction? What is...
Learning Goal: To be able to identify the initial stresses and
the angle of rotation, including the correct signs, and use these
in the stress-transformation equations to find the stress on a
plane or element at a different angle than the original. The method
of calculating the state of stress on an inclined plane is tedious,
prone to error, and incomplete—if we calculate σx′ and τx′y′, we
have to do a separate calculation to determine σy′. Consider the
stress element...
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