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(25%) Question 1. (Parts 1-1 and 1-2 are independent) (20%) Part 1-1: Draw the...
7.4-6 An clement in biaxial sress is subjected to stresses,--29 MPa and ?1,-57 MPa, as shown...
7.4-6 An clement in biaxial sress is subjected to stresses,--29 MPa and ?1,-57 MPa, as shown in the figure. Using Mohr's circle, determine the following (a) The stresses acting on an element oriented at a slope of 1 on 2.5 (see figure) (b) The maximum shear stresses and associated nor mal stresses Show all results on sketches of properly oriented elements. 57 MPa 2.5 29 MPa PROBLEM 7.4-6
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...
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...
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....
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determ...
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determine the orientation of an element at this point and subjected to the principle stresses. Show the result on the element. 40 SMPa 70 MPa 3. Determine the equivalent state of stress for an element oriented 20 clockwise from the element shown. Show the result on...
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...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
Part 1 Correct Consider a point in a structural member that is subjected to plane stress....
Part 1 Correct Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
Please draw each point PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
7.4-6 An clement in biaxial sress is subjected to stresses,--29 MPa and ?1,-57 MPa, as shown in the figure. Using Mohr's circle, determine the following (a) The stresses acting on an element oriented at a slope of 1 on 2.5 (see figure) (b) The maximum shear stresses and associated nor mal stresses Show all results on sketches of properly oriented elements. 57 MPa 2.5 29 MPa PROBLEM 7.4-6
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...
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...
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....
(17 Marks) 0.2. The state of plane stress at a point is shown on the element in the figure below. 50 MFa 1. Construct its representative Mohr's circle and specify its reference line. 2. Determine the orientation of an element at this point and subjected to the principle stresses. Show the result on the element. 40 SMPa 70 MPa 3. Determine the equivalent state of stress for an element oriented 20 clockwise from the element shown. Show the result on...
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...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
Part 1 Correct Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
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