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Solve using Mohr's Circle
90 MPa 30 MPa 60 MPa Fig. P7.14 7.13 through 7.16 For...
Required information Solve the following problems using Mohr's circle Given: P 84 MPa P 50 MPa...
Required information Solve the following problems using Mohr's circle Given: P 84 MPa P 50 MPa Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through 25 clockwise. (Round the final answers to two decimal places.) Normal stresses: MPa (+ tensile; - compressive) Ox' Gy[ MPa (+tensile; - compressive) Shearing stress: Txy MPa (+CCW on the positive X-face)
14.25 Solve Probs. 14.5 and 14.9, using Mohr's circle. 14.5 through 14.8 For the given state...
14.25 Solve Probs. 14.5 and 14.9, using Mohr's circle. 14.5 through 14.8 For the given state of stress, determine (a) the pri planes, (b) the principal stresses. 14.9 through 14.12 For the given state of stress, determine (a) the orienta- tion of the planes of maximum in-plane shearing stress, (b) the maxi- mum in-plane shearing stress, (c) the corresponding normal stress. 40 MPa 35 MPa 60 MPa Fig. P14.5 and P14.9
Required information Solve the following problems using Mohr's circle. Given: P= 12.5 ksi S ksi 6...
Required information Solve the following problems using Mohr's circle. Given: P= 12.5 ksi S ksi 6 ksi Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through 25° clockwise. (Round the final answers to two decimal places.) Normal stresses: Ox'= yksi (+ tension; - compression) Oy= ksi (+ tension; - compression) Shearing stress: Tx'y'= C k si (+ CCW on the positive X-face)
Use Mohr's circle 5. For the stress element shown, use components associated with an element rotated...
Use Mohr's circle
5. For the stress element shown, use components associated with an element rotated counterclockwise 30°. Show values on the rotated element. alytical means or Mohr's circle to determine the stress Use previous "diameter" determined by "plotting" the given stresses, then ADD 60° CCW from that diameter to find new points on the circumference of Mohr's circle. 60 MPa 30° 100 MPa Once again, try just using plain geometry to determine those points. 48 MPa
THE FOLLOWING PROBLEMS ARE TO BE SOLVED WITH A COMPUTER. Problem 1 A state of plane...
THE FOLLOWING PROBLEMS ARE TO BE SOLVED WITH A COMPUTER. Problem 1 A state of plane stress is defined by the stress components 0, 0, and I associated with the element shown in Figure (a). i. Write a computer program that can be used to calculate the stress components 6, 5, and try" associated with the element after it has rotated through an angle about the z axis as shown in Figure (b). 1 F: Use this program to solve...
Consider the given state of stress. Take X = 10 MPa and Y = 45 MPa....
Consider the given state of stress. Take X = 10 MPa and
Y = 45 MPa.
Determine the principal planes using Mohr's circle. a) The
principal planes are at − ° and °.
Determine the principal stresses using Mohr's circle. b)The
minimum principal stress is − MPa, and the maximum
principal stress is MPa.
Determine the orientation of the planes of maximum in-plane
shearing stress using Mohr's circle. c) The orientation of the
plane of maximum in-plane shearing stress in the first quadrant
is °....
Problem 1.8. Mohr's circle Draw Mohr's circle for the state of stress defined by 01 =...
Problem 1.8. Mohr's circle Draw Mohr's circle for the state of stress defined by 01 = 80 MPa, 02 = -20 MPa and T12 = 40 MPa. Using this circle, (1) calculate the stress on axes rotated 60 degrees counterclock- wise from the reference axes, and (2) determine the principal stresses and the corresponding directions. Do these results agree with the results in section 1.3.3?
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...
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...
6. The components of stress within a structure are oxx 90 MPa, oxy -30 MPa, oxz...
6. The components of stress within a structure are oxx 90 MPa, oxy -30 MPa, oxz = ayz = 0 50 MPa, oyy -60 MPa, ozz (4 poin Draw 3D Mohr's circle and locate the principal stresses 01, 02 and a3 as well as the maximum shear stress a. b. Calculate the angle required to rotate the x-y plane to the principal frame and locate that angle on the cirlce (4 poir c. Draw the rotated 3D stress element
Required information Solve the following problems using Mohr's circle Given: P 84 MPa P 50 MPa Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through 25 clockwise. (Round the final answers to two decimal places.) Normal stresses: MPa (+ tensile; - compressive) Ox' Gy[ MPa (+tensile; - compressive) Shearing stress: Txy MPa (+CCW on the positive X-face)
14.25 Solve Probs. 14.5 and 14.9, using Mohr's circle. 14.5 through 14.8 For the given state of stress, determine (a) the pri planes, (b) the principal stresses. 14.9 through 14.12 For the given state of stress, determine (a) the orienta- tion of the planes of maximum in-plane shearing stress, (b) the maxi- mum in-plane shearing stress, (c) the corresponding normal stress. 40 MPa 35 MPa 60 MPa Fig. P14.5 and P14.9
Required information Solve the following problems using Mohr's circle. Given: P= 12.5 ksi S ksi 6 ksi Draw Mohr's circle and use it to determine the normal and shearing stresses after the element shown has been rotated through 25° clockwise. (Round the final answers to two decimal places.) Normal stresses: Ox'= yksi (+ tension; - compression) Oy= ksi (+ tension; - compression) Shearing stress: Tx'y'= C k si (+ CCW on the positive X-face)
Use Mohr's circle
5. For the stress element shown, use components associated with an element rotated counterclockwise 30°. Show values on the rotated element. alytical means or Mohr's circle to determine the stress Use previous "diameter" determined by "plotting" the given stresses, then ADD 60° CCW from that diameter to find new points on the circumference of Mohr's circle. 60 MPa 30° 100 MPa Once again, try just using plain geometry to determine those points. 48 MPa
THE FOLLOWING PROBLEMS ARE TO BE SOLVED WITH A COMPUTER. Problem 1 A state of plane stress is defined by the stress components 0, 0, and I associated with the element shown in Figure (a). i. Write a computer program that can be used to calculate the stress components 6, 5, and try" associated with the element after it has rotated through an angle about the z axis as shown in Figure (b). 1 F: Use this program to solve...
Consider the given state of stress. Take X = 10 MPa and
Y = 45 MPa.
Determine the principal planes using Mohr's circle. a) The
principal planes are at − ° and °.
Determine the principal stresses using Mohr's circle. b)The
minimum principal stress is − MPa, and the maximum
principal stress is MPa.
Determine the orientation of the planes of maximum in-plane
shearing stress using Mohr's circle. c) The orientation of the
plane of maximum in-plane shearing stress in the first quadrant
is °....
Problem 1.8. Mohr's circle Draw Mohr's circle for the state of stress defined by 01 = 80 MPa, 02 = -20 MPa and T12 = 40 MPa. Using this circle, (1) calculate the stress on axes rotated 60 degrees counterclock- wise from the reference axes, and (2) determine the principal stresses and the corresponding directions. Do these results agree with the results in section 1.3.3?
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...
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...
6. The components of stress within a structure are oxx 90 MPa, oxy -30 MPa, oxz = ayz = 0 50 MPa, oyy -60 MPa, ozz (4 poin Draw 3D Mohr's circle and locate the principal stresses 01, 02 and a3 as well as the maximum shear stress a. b. Calculate the angle required to rotate the x-y plane to the principal frame and locate that angle on the cirlce (4 poir c. Draw the rotated 3D stress element
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