The state of stress in an elastically deformed element is given
in the table below. Determine the principal values of the stresses
and their principal direction. Also determine the maximum in plane
shear stresses and the absolute shear stress.
Homework Answers
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The state of stress in an elastically deformed element is given in the table below. Determine the...
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
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
Problem 6 (15 points) The state of plane stress at a point is shown on the...
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
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...
The state of stress at a point on a body is given by the following stress...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
1) Given the following state of stress at a point in a continu 7 0 14...
1) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
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)
+ 25 MPa Determine the equivalent state of stress on an element at the same point...
+ 25 MPa Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. - 100 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. 14 MPa y 12 MPa K. Determine the principal stresses 01 and 02: 01 = number (rtol=0.01, atol=1e-05) MPa 02 = number (rtol=0.01, atol=1e-05) MPa ? Determine the principal plane defined by the rotation Opi: 0 number (rtol=0.01, atol=1e-05) Opl in-plane Determine the magnitude of the maximum in-plane shear stress Tmac Terima plane number (rtol=0.01, atol=1e-05) MPa
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses...
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses Determine the maximum in-plane shear stress. Maximum in-plance shear stress
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
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
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
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...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
1) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
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)
+ 25 MPa Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element. - 100 MPa
The state of plane stress at a point on a body is represented by the element below. 14 MPa y 12 MPa K. Determine the principal stresses 01 and 02: 01 = number (rtol=0.01, atol=1e-05) MPa 02 = number (rtol=0.01, atol=1e-05) MPa ? Determine the principal plane defined by the rotation Opi: 0 number (rtol=0.01, atol=1e-05) Opl in-plane Determine the magnitude of the maximum in-plane shear stress Tmac Terima plane number (rtol=0.01, atol=1e-05) MPa
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses Determine the maximum in-plane shear stress. Maximum in-plance shear stress
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