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Question 6 15 pts Consider the element below. 50 MPa 10 MPa 20 A) Calculate the...
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's...
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's circle coordinate axes with appropriate labels, center point A. radius of the circle (1) (3 points) Using the Mohir's circle, find the magnitude of the principal stresses and principal directions. Show them on a sketch of a properly oriented clement (c) (3 points) Using the Mohr's circle, find the magnitude of the maximun shear stress and associated normal stresses Show them on a sketch...
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...
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...
There is one force element in xy-axes, with Sigma (x) = 30 MPa, Sigma (y) =...
There is one force element in xy-axes, with Sigma (x) = 30 MPa, Sigma (y) = 60 MPa, and Tao (xy) = 40 MPa. (Sigma for normal stress and Tao for shear stress) (1) Draw a force element with all above stresses labeled in xy-axes and translate the information on a Mohr's circle; (2) Rotate the force element 30 degree (counterclockwise). Use Mohr's circle to derive the stresses in this new element; (3) Use Mohr's circle to determine the principal...
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...
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...
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determ...
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determine the orientation of an element at this point and subjected to the principle stresses. Show the result on the element. 40 SMPa 70 MPa 3. Determine the equivalent state of stress for an element oriented 20 clockwise from the element shown. Show the result on...
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element....
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
PLEASE SHOW ALL STEPS! 4. The stress element on the fuselage of an airplane shown below...
PLEASE SHOW ALL STEPS!
4. The stress element on the fuselage of an airplane shown below is Gx 400 MPa; Oy -300 MPa; and Txy 200 MPa (clockwise). a. Draw the initial stress element showing the stresses acting on it. b. Showing your X and Y coordinate points clearly, draw the complete Mohr's circle on the attached graphing paper From the Mohr's circle, determine Gmax, Omin, and Tmax c. d. Draw the complete principal stress element. Draw the maximum shear...
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's circle coordinate axes with appropriate labels, center point A. radius of the circle (1) (3 points) Using the Mohir's circle, find the magnitude of the principal stresses and principal directions. Show them on a sketch of a properly oriented clement (c) (3 points) Using the Mohr's circle, find the magnitude of the maximun shear stress and associated normal stresses Show them on a sketch...
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...
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...
There is one force element in xy-axes, with Sigma (x) = 30 MPa, Sigma (y) = 60 MPa, and Tao (xy) = 40 MPa. (Sigma for normal stress and Tao for shear stress) (1) Draw a force element with all above stresses labeled in xy-axes and translate the information on a Mohr's circle; (2) Rotate the force element 30 degree (counterclockwise). Use Mohr's circle to derive the stresses in this new element; (3) Use Mohr's circle to determine the principal...
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...
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...
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determine the orientation of an element at this point and subjected to the principle stresses. Show the result on the element. 40 SMPa 70 MPa 3. Determine the equivalent state of stress for an element oriented 20 clockwise from the element shown. Show the result on...
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
PLEASE SHOW ALL STEPS!
4. The stress element on the fuselage of an airplane shown below is Gx 400 MPa; Oy -300 MPa; and Txy 200 MPa (clockwise). a. Draw the initial stress element showing the stresses acting on it. b. Showing your X and Y coordinate points clearly, draw the complete Mohr's circle on the attached graphing paper From the Mohr's circle, determine Gmax, Omin, and Tmax c. d. Draw the complete principal stress element. Draw the maximum shear...
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