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For the state of stress at a point shown, determine the stresses obtained by rotating the...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
For the state of stress shown: a) Determine the in-plane principal stresses and the maximum in-plane...
For the state of stress shown:
a) Determine the in-plane principal stresses and the maximum
in-plane shear stress.
b) Show these stresses on a properly oriented element.
c) Determine the maximum shear stress d) How do these (a, b, c)
change if z = -20 MPa (20 MPa in compression)?
With detialed explination please! Much appreciated
90 MPa 20 MPa 60 MPa
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
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa...
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
P12.037 The stresses shown act at a point on the free surface of a stressed body....
P12.037 The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy = 98.00 MPa 20 MPa, and Sxv = 72 MPa. Assume B = 57. Determine the normal stresses on and ot and the shear stress Int at this point if they act on the rotated stress element shown. 5 Su 15 Answers: On= MPa o MPа Int =...
Question No. 01 The state plane of stress at a point is shown below; a) Determine...
Question No. 01 The state plane of stress at a point is shown below; a) Determine the in-plane principal stresses and orientation of the associated planes. Show the planes on a sketch b) Determine the maximum shear stress and absolute maximum shear stress. c) Determine the strain energy density associated with volume change if E 30,000 ksi and v 0.3 d) Check if yielding will occur using von Mises criterion and Tresca's theory. The yield strength of the material in...
a) The state of stress at a point is shown on the element in Figure Q4(a)...
a) The state of stress at a point is shown on the element in Figure Q4(a) Deternine i) The principal stresses (in-plane) and the corresponding principal planes; 1) The maximum in-plane shear stress and the orientation of the corresponding plane as well as the normal stress on that plane. 60 MPa 30 MPa 45 MPa Figure Q4(a)
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...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the ori...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
The state of plane stress at a point on a body can be depicted by the...
The state of plane stress at a point on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
For the state of stress shown in figure (a=55 degrees), determine (a) The normal and shear stress acting along the oblique face of the shaded triangle (b) The state of stress, if the element were rotated by an angle 55 degrees clockwise (c) The state of stress acting on the principal normal planes (d) The state of stress acting on the principle shear planes 60 MPa - 80 MPa — x 90 MPa State of stress The state of stress...
For the state of stress shown:
a) Determine the in-plane principal stresses and the maximum
in-plane shear stress.
b) Show these stresses on a properly oriented element.
c) Determine the maximum shear stress d) How do these (a, b, c)
change if z = -20 MPa (20 MPa in compression)?
With detialed explination please! Much appreciated
90 MPa 20 MPa 60 MPa
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
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
P12.037 The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy = 98.00 MPa 20 MPa, and Sxv = 72 MPa. Assume B = 57. Determine the normal stresses on and ot and the shear stress Int at this point if they act on the rotated stress element shown. 5 Su 15 Answers: On= MPa o MPа Int =...
Question No. 01 The state plane of stress at a point is shown below; a) Determine the in-plane principal stresses and orientation of the associated planes. Show the planes on a sketch b) Determine the maximum shear stress and absolute maximum shear stress. c) Determine the strain energy density associated with volume change if E 30,000 ksi and v 0.3 d) Check if yielding will occur using von Mises criterion and Tresca's theory. The yield strength of the material in...
a) The state of stress at a point is shown on the element in Figure Q4(a) Deternine i) The principal stresses (in-plane) and the corresponding principal planes; 1) The maximum in-plane shear stress and the orientation of the corresponding plane as well as the normal stress on that plane. 60 MPa 30 MPa 45 MPa Figure Q4(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...
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
The state of plane stress at a point on a body can be depicted by the Mohr's circle below. Point X has coordinates(-18, 12) MPa and point Y has coordinates (-14,-12) MPa Determine the normal and shear stresses associated with a rotation of the stress element θ--26 Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. Note that you can use the Mohr's circle to obtain your answers graphically or you can...
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