Homework Answers
I am providing you all the steps of drawing the Mohr circle and how to calculate the values so that you can use them in your solution. I could have given you the proper solution but that would not help you in gaining the knowledge. By following the steps you can understand the problem and use the solution in future to do the same type of problems by yourself.
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Problem 1 - Mohr's circle for plane stress For the given state of stress,[30 complete following:...
Mohr's Circle: For the state of stress shown below, sketch the plane stress Mohr Circle on...
Mohr's Circle: For the state of stress shown below, sketch the plane stress Mohr Circle on a graphing paper (to scale and using drawing instruments). Staple it to this coversheet. 10 ksi 20 ksi In the space below sketch the element showing the principal planes and the principal stresses (remember to show the angle the element makes with either the X or the Y axis) In the space below sketch the element showing the maximum in-plane shearing stresses, associated normal...
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...
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...
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
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?
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
Draw and label Mohr's Circle of Stress for the case given. Show the original state of...
Draw and label Mohr's Circle of Stress for the case given. Show the original state of stress and principal stresses. Draw a rotated element showing directions for the principal stresses and the maximum shear stress. 115 ksi 9 ksi
Mohr's Circle: For the state of stress shown below, sketch the plane stress Mohr Circle on a graphing paper (to scale and using drawing instruments). Staple it to this coversheet. 10 ksi 20 ksi In the space below sketch the element showing the principal planes and the principal stresses (remember to show the angle the element makes with either the X or the Y axis) In the space below sketch the element showing the maximum in-plane shearing stresses, associated normal...
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...
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...
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
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?
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
Draw and label Mohr's Circle of Stress for the case given. Show the original state of stress and principal stresses. Draw a rotated element showing directions for the principal stresses and the maximum shear stress. 115 ksi 9 ksi
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