When the stress in the plane stress state is given by ?_〖?〗 = 15 MPa, ?_〖?〗...
When the stress in the plane stress state is given by ?_〖?〗 = 15 MPa, ?_〖?〗 = 75 MPa, and ?_〖??〗 = 40 MPa, how many MPa are the values of the main stresses?
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When the stress in the plane stress state is given by ?_〖?〗 = 15 MPa, ?_〖?〗...
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...
Consider the following stress state in plane stress: Qx = 120 MPa Qy = -30 MPa...
Consider the following stress state in plane stress: Qx = 120 MPa Qy = -30 MPa Txy = 70 MPa a) Calculate the two in-plane principal stresses and show the principal stress state on a properly oriented stress element. b) Calculate the maximum in-plane shear stress. c) Calculate the maximum out-of-plane shear stress. On what plane (x-z or y-z) does this shear stress occur?
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses...
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses Determine the maximum in-plane shear stress. Maximum in-plance shear stress
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...
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 °....
The state of stress in an elastically deformed element is given in the table below. Determine the...
The state of stress in an elastically deformed element is given
in the table below. Determine the principal values of the stresses
and their principal direction. Also determine the maximum in plane
shear stresses and the absolute shear stress.
Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40
Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stre...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
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...
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...
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...
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses Determine the maximum in-plane shear stress. Maximum in-plance shear stress
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...
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 °....
The state of stress in an elastically deformed element is given
in the table below. Determine the principal values of the stresses
and their principal direction. Also determine the maximum in plane
shear stresses and the absolute shear stress.
Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40
Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
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...
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...
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