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Problem 73-2 An element in plane stress is subjected to stresses σ.-105 MPa, dry-75 MPa, and...
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
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...
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...
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.
wise 5. An element in pure shear is subjected to stresses thy 32 MPa, as shown...
wise 5. An element in pure shear is subjected to stresses thy 32 MPa, as shown in the figure. Using Mohr's circle, determine: (a) The stresses acting on an element oriented at a counterclockwise angle 0 = 75' from the x axis. (b) The principal stresses. Show all results on sketches of property oriented elements. Vertical 3MPa 32 MPa Horizontal
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...
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...
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...
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...
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
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...
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...
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.
wise 5. An element in pure shear is subjected to stresses thy 32 MPa, as shown in the figure. Using Mohr's circle, determine: (a) The stresses acting on an element oriented at a counterclockwise angle 0 = 75' from the x axis. (b) The principal stresses. Show all results on sketches of property oriented elements. Vertical 3MPa 32 MPa Horizontal
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...
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...
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...
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...
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