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Question 2 20 pts For the stress element above, O, has a magnitude of 12 MPa."...
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element....
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
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...
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...
11.80 MPa ニ62.29 MPa Determine the stresses for the oriented element in e 30° from the original position in the counter clockwise direction by using Mohr circle and represent the stress state. 60° 6...
11.80 MPa ニ62.29 MPa Determine the stresses for the oriented element in e 30° from the original position in the counter clockwise direction by using Mohr circle and represent the stress state. 60° 60 Young's Modulus (GPa) 73 Matera Yield Stress Ultimate Stress Y PoissonDensity Ratio kg/m3 2780 (MPa) 324 (MPa) 469 Al 2024-T4 0.33 (Check it) '* 49.96 MPa --5.87 MPa に21.69 MPa x'
11.80 MPa ニ62.29 MPa Determine the stresses for the oriented element in e 30° from...
Question 6 15 pts Consider the element below. 50 MPa 10 MPa 20 A) Calculate the...
Question 6 15 pts Consider the element below. 50 MPa 10 MPa 20 A) Calculate the center and radius of Mohr's circle B) Draw Mohr's circle (label axes, specify units, and show the reference point indicating the given state of stress. C) In the circle, show the points that correspond to a state of stress when the element rotates 20deg clockwise (there is no need to calculate values, just show the points. D) Calculate the principal stresses E) Calculate the...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40 degrees in the anti-clockwise direction as shown in Figure Q4(a). (8 marks) (b) By using Mohr Circle, determine and sketch; all the stresses (Ox, O, and tyy) of the same element in the orientation as shown in Figure Q4(b). (4 marks) (i) the principal stress and its orientation. (4 marks) (i) the maximum shear stress, the corresponding normal stress, and its orientation. (4 marks)...
Question 4 20 pts Determine the equivalent state of stress on an element at the point...
Question 4 20 pts Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the associated (c)average normal stress. Also, for each case, determine the corresponding "orientation" (angles) of the element with respect to the element shown and sketch the results on the element. 80 MPa 40 MPa Upload Choose a File
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components...
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm...
A cylindrical tank holding oxygen at 5000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 465 MPa in x-direction, compressive stress of 350 MPa in y-direction and shearing stress of 600 MPa. By using Mohr’s Circle; Sketch the plane stresses element for the critical point. Determine the principal stresses and their locations. Determine the...
A cylindrical tank holding oxygen at 4000 kPa pressure has an outside diameter of 500 mm and a wa...
A cylindrical tank holding oxygen at 4000 kPa pressure has an outside diameter of 500 mm and a wall thickness of 10 mm. It has been determined that a critical point on the tank is subjected to the tensile stress of 464 MPa in x-direction, compressive stress of 340 MPa in y-direction and shearing stress of 600 MPa. By using Mohr’s Circle; Sketch the plane stresses element for the critical point. Determine the principal stresses and their locations. Determine the...
Question 3 68 MPa 56 MPa 12 MPa Figure 3. Stress components acting on an element. Figure 3 shows an element experiencing several stress components. Determine the following: 1. The stress components oxx, y, and Tyyacting on the element oriented at a counter clockwise angle 0 = 30° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles Show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using...
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...
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...
11.80 MPa ニ62.29 MPa Determine the stresses for the oriented element in e 30° from the original position in the counter clockwise direction by using Mohr circle and represent the stress state. 60° 60 Young's Modulus (GPa) 73 Matera Yield Stress Ultimate Stress Y PoissonDensity Ratio kg/m3 2780 (MPa) 324 (MPa) 469 Al 2024-T4 0.33 (Check it) '* 49.96 MPa --5.87 MPa に21.69 MPa x'
11.80 MPa ニ62.29 MPa Determine the stresses for the oriented element in e 30° from...
Question 6 15 pts Consider the element below. 50 MPa 10 MPa 20 A) Calculate the center and radius of Mohr's circle B) Draw Mohr's circle (label axes, specify units, and show the reference point indicating the given state of stress. C) In the circle, show the points that correspond to a state of stress when the element rotates 20deg clockwise (there is no need to calculate values, just show the points. D) Calculate the principal stresses E) Calculate the...
Q4. (a) Plot a Mohr circle for the plane stress element which has been rotated 40 degrees in the anti-clockwise direction as shown in Figure Q4(a). (8 marks) (b) By using Mohr Circle, determine and sketch; all the stresses (Ox, O, and tyy) of the same element in the orientation as shown in Figure Q4(b). (4 marks) (i) the principal stress and its orientation. (4 marks) (i) the maximum shear stress, the corresponding normal stress, and its orientation. (4 marks)...
Question 4 20 pts Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (b) the maximum in-plane shear stress and the associated (c)average normal stress. Also, for each case, determine the corresponding "orientation" (angles) of the element with respect to the element shown and sketch the results on the element. 80 MPa 40 MPa Upload Choose a File
Figure 4 shows an element experiencing several stress components. Determine the following: 1. The stress components Oxvxr. Oysy, and T xuy, acting on the element oriented at a counter clockwise angle = 40° from the horizontal x axis 2. The principal stresses, the maximum shear stress and their associated angles For each of the stress state calculated in parts 1 and 2, show all results on sketches of properly oriented elements. Note: Solutions MUST be obtained using Mohr's circle ONLY....
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