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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...
This is the non-multiple choice version of online Quiz 4. The questions in D2L will be...
This is the non-multiple choice version of online Quiz 4. The questions in D2L will be the same but each sub-question will be multiple choice in the online format. It is recommended that you complete problems in the standard given-find-solution method for your reference. Please use the beam section tables provided on the Google Drive. 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...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane stress there are normal and shear stresses on horizontal and vertical planes through the point, as shown. Determine the principal stresses, the maximum in-plane shear stress and associated average normal stress at the point. Also, for each case, determine the corresponding orientation of the element with respect to the element shown.
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?
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the element is also subject to: Average normal stress Undefined normal stress O Maximum normal stress O Zero normal stress Question 43 On Mohr's Circle, the sign convention is: O Positive normal stress to the right, positive shear stress down Positive normal stress to the left, positive shear stress up o Positive normal stress to the left, positive shear stress down o Positive normal stress...
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to
plane stress. Normal and shear stress magnitudes acting on
horizontal and vertical planes at the point are
Sx = 45 MPa, Sy = 10 MPa,
and Sxy = 36 MPa.
(a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the
maximum in-plane shear stress τ max acting at the point.
(b) Find the smallest rotation angle θ p (counterclockwise is
positive, clockwise is...
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...
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...
A rectangular plate in plane stress is subjected to normal stresses Ox =50 MPa, Oy =...
A rectangular plate in plane stress is subjected to normal stresses Ox =50 MPa, Oy = 25 MPa, and shear stress Txy = -12.5 MPa. The ratio of the magnitudes of the principal stresses (01/02) is approximately: (A) 3.5 (B) 2 (C) 2.8 (0)4
This is the non-multiple choice version of online Quiz 4. The questions in D2L will be the same but each sub-question will be multiple choice in the online format. It is recommended that you complete problems in the standard given-find-solution method for your reference. Please use the beam section tables provided on the Google Drive. 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...
75 MPa 125 MPa 50 MPa At a point in a machine component subjected to plane stress there are normal and shear stresses on horizontal and vertical planes through the point, as shown. Determine the principal stresses, the maximum in-plane shear stress and associated average normal stress at the point. Also, for each case, determine the corresponding orientation of the element with respect to the element shown.
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the element is also subject to: Average normal stress Undefined normal stress O Maximum normal stress O Zero normal stress Question 43 On Mohr's Circle, the sign convention is: O Positive normal stress to the right, positive shear stress down Positive normal stress to the left, positive shear stress up o Positive normal stress to the left, positive shear stress down o Positive normal stress...
Consider a point in a structural member that is subjected to
plane stress. Normal and shear stress magnitudes acting on
horizontal and vertical planes at the point are
Sx = 45 MPa, Sy = 10 MPa,
and Sxy = 36 MPa.
(a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the
maximum in-plane shear stress τ max acting at the point.
(b) Find the smallest rotation angle θ p (counterclockwise is
positive, clockwise is...
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...
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...
A rectangular plate in plane stress is subjected to normal stresses Ox =50 MPa, Oy = 25 MPa, and shear stress Txy = -12.5 MPa. The ratio of the magnitudes of the principal stresses (01/02) is approximately: (A) 3.5 (B) 2 (C) 2.8 (0)4
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