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A rectangular plate in plane stress is subjected to normal stresses Ox =50 MPa, Oy =...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
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...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
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...
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...
Homework For each of the plane stress states listed below, draw a Mohr's circle diagram properly...
Homework For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the x axis to 0. Draw stress elements as in Fig. 3-11c and d and label all details. (a) Ox = -8 MPa, Oy = 7 MPa, Txy = 6 MPa cw (b) 0x = 9 MPa, Oy = -6 MPa, Txy = 3 MPa cw (C) Ox = -4 MPa,...
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 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 = 95.3 MPa, Sy = 79.3 MPa, and Sxy = 41.0 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On your paper show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). (c) Compute the absolute maximum shear...
1.3-4 An element in plane stress is subjected to stresses ?x-105MPa. ?y-75MPa, and T 25 MPa...
1.3-4 An element in plane stress is subjected to stresses ?x-105MPa. ?y-75MPa, and T 25 MPa (see the figure for Problem 7.3-|), xy Determine the principal stresses and show them on a sketch of a properly oriented element. Oy ay Tyx
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
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...
alem1s aonsalpn A rectangular plate is subjected to a plane stress state with principal stresses: σ,-67 MPa and σ,--23 MPa. The first principal stress acts in the x-direction and the second principal stress acts in the y-direction. The in-plane dimensions of the plate are given below. The out-of-plane dimension is 20 mm. The plate is made of material with E 200 GPa and v 0.30. Answer the following questions. a) What is the maximum in-plane shear strain Vmax in the...
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...
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...
Homework For each of the plane stress states listed below, draw a Mohr's circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the x axis to 0. Draw stress elements as in Fig. 3-11c and d and label all details. (a) Ox = -8 MPa, Oy = 7 MPa, Txy = 6 MPa cw (b) 0x = 9 MPa, Oy = -6 MPa, Txy = 3 MPa cw (C) Ox = -4 MPa,...
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 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 = 95.3 MPa, Sy = 79.3 MPa, and Sxy = 41.0 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On your paper show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). (c) Compute the absolute maximum shear...
1.3-4 An element in plane stress is subjected to stresses ?x-105MPa. ?y-75MPa, and T 25 MPa (see the figure for Problem 7.3-|), xy Determine the principal stresses and show them on a sketch of a properly oriented element. Oy ay Tyx
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