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Consider the element below. Calculate the normal stress acting on the inclined plane (20° clockwise rotation)....
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB...
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB as shown in Figure 7. Solve the problem using the stress transformation equations. Show the result on the sectioned element. B 45 MPa 80 MPa 45° Figure 7 [4 marks) Determine the principal stress, the maximum in-plane shear stress, and average normal stress for Figure 8. Specify the orientation of the element in each case. b) 200 MPa 500 MPa 350 MPa Figure 8
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...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
3. The state of plane stress at a point is shown on the element below. Construct...
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
The state of plane stress at a point on a body is represented by the element...
The state of plane stress at a point on a body is represented by the element below. 16 MPa 24 MPa V Determine the equivalent state of plane stress on an element at the same point that is rotated by 0= -30°. Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. 0 = number (rtol=0.01, atol=1e-05) MPa ? Ty number (rtol=0.01, atol=1e-05) MPa ? Ta'y = number (rtol=0.01, atol=1e-05) MPa
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...
Question 5 Stress Transformation 30 The stresses acting on element A in the web of a...
Question 5 Stress Transformation 30 The stresses acting on element A in the web of a train rail are found to be 52 MPa tension in the horizontal direction and 130 MPa compression in the vertical direction, as shown in Figure 7 below. Also, shear stresses of magnitude 60 MPa act in the directions shown. (a) Determine the stresses acting on an element oriented at a counter-clockwise angle of 48° from the horizontal. Show these stresses on a sketch of...
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...
Determine the stress components acting on the inclined plane AB in (Figure 1), where τxy=−39.5MPa. Solve...
Determine the stress components acting on the inclined
plane AB in (Figure 1), where τxy=−39.5MPa. Solve the problem using
the stress transformation equations.
Part A Determine the stres components acting on the indlined plane AB in Figure 1), where --39.5 MPa Solve the problem using the stress transformation equations. Express your answers, separated by a comma, to three significant figures, in same order as asked in question. No marks will be given if its in wrong order. 100 Avec ?...
Question 5 a) Determine the normal stress and shear stress acting on the inclined plane AB as shown in Figure 7. Solve the problem using the stress transformation equations. Show the result on the sectioned element. B 45 MPa 80 MPa 45° Figure 7 [4 marks) Determine the principal stress, the maximum in-plane shear stress, and average normal stress for Figure 8. Specify the orientation of the element in each case. b) 200 MPa 500 MPa 350 MPa Figure 8
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...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
The state of plane stress at a point on a body is represented by the element below. 16 MPa 24 MPa V Determine the equivalent state of plane stress on an element at the same point that is rotated by 0= -30°. Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. 0 = number (rtol=0.01, atol=1e-05) MPa ? Ty number (rtol=0.01, atol=1e-05) MPa ? Ta'y = number (rtol=0.01, atol=1e-05) MPa
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...
Question 5 Stress Transformation 30 The stresses acting on element A in the web of a train rail are found to be 52 MPa tension in the horizontal direction and 130 MPa compression in the vertical direction, as shown in Figure 7 below. Also, shear stresses of magnitude 60 MPa act in the directions shown. (a) Determine the stresses acting on an element oriented at a counter-clockwise angle of 48° from the horizontal. Show these stresses on a sketch of...
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...
Determine the stress components acting on the inclined
plane AB in (Figure 1), where τxy=−39.5MPa. Solve the problem using
the stress transformation equations.
Part A Determine the stres components acting on the indlined plane AB in Figure 1), where --39.5 MPa Solve the problem using the stress transformation equations. Express your answers, separated by a comma, to three significant figures, in same order as asked in question. No marks will be given if its in wrong order. 100 Avec ?...
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