![JIRJOILUIL 1) Find the rotation matrix needed that will give the principal stresses for [12 15 01 0 = 15 -4 0 MPa. lo 0 -5] C](http://img.homeworklib.com/questions/99f6e660-ceef-11ea-8a24-b5c1ac52ca7b.png?x-oss-process=image/resize,w_560)
Homework Answers
![or We know that the form of stress Tensor matrix in T12 o Mpa Lo 0 -5 ] After comparing Ex= 12 6y=-4 52=-5, Exy=15 exy = 15 M](http://img.homeworklib.com/questions/9a83b660-ceef-11ea-9863-23579d12c4e8.png?x-oss-process=image/resize,w_560)
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JIRJOILUIL 1) Find the rotation matrix needed that will give the principal stresses...
1. For the element shown, use Mohr's circle to find the principal stresses and the rotation...
1. For the element shown, use Mohr's circle to find the principal stresses and the rotation necessary to get to that state. 25 MPa 110 MPa 38 MPa 5,= 119.96 MPa 52 = - 34.96 MPa 0,- 14.69.cw
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following...
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following data sets give the stresses on the initial stress element (ox=300 MPa; Oy=-100 MPa; Txy=80MPa CW). Perform the following operations: (a) Draw the complete Mohr's circle, labeling critical points including 01, 02, Tmax, and Oavg. (b) On Mohr's circle, indicate which line represents the x-axis on the initial stress element. (c) On Mohr's circle, indicate the angles from the line representing the x-axis to...
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are...
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are 120 kN/m2 and 46 kN/m2 (both in compression), respectively. a) Label the element with the principal stresses b) Draw the Mohr's circle for these conditions. Label the axes. c) On the Mohr's circle, label the major and minor principal stresses, the deviator stress, and the center of the circle. Show all applicable coordinates or values d) What is the maximum shear stress and the...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to...
please write the steps clearly 1. For each stress states listed below, 1) Calculate all three...
please write the steps clearly
1. For each stress states listed below, 1) Calculate all three principal stresses and max shear stress 2) Draw a 3D Mohr's circle diagram (a) 0. - 30 MPa, y =-60 MPa, Twy - 30 MPa cw (b) 0,= -40 MPa, 0, = 10 MPa, Twy - 15 MPa CCW (a) 0, 20 kpsi, 0, 0 kpsi, o, - 20 kpsi, ty = 40 kpsi, T -2072 kpsi, and T 0 kpsi
Name Major Mail Box # MAE 243-Mechanics of Materials- Fall 2018 Paper-Based Homework 8 (20 Points)...
Name Major Mail Box # MAE 243-Mechanics of Materials- Fall 2018 Paper-Based Homework 8 (20 Points) This homework is due Monday, November 12, 2018 (sections 1 & 3) or Tuesday, November 13, 2018 (section 2) at the beginning of the class on your instructor's desk. (a) The angle between the x axis and y is 47.5 13 MPa Determine the state of stress with respect to the primed axes. (b) Find the principal stresses. (c) Find the principal planes. (d)...
For the beam shown below, determine the flexural stresses, shear stresses, principal stresses, and the angle...
For the beam shown below, determine the flexural stresses, shear
stresses, principal stresses,
and the angle to the principle stress plane at the locations
shown. Can you solve Location one and 4 first< then as many
other as you can please?
Locations 1 and 2 are at the top of the beam, while locations 5
and 6 are at the bottom.
Location 3 is at the beam mid-height, while location 4 is midway
between locations 3 and 5.
Assume that...
Calibri rWrap Text General - 10 TT 19 Copy -A A == R Normal Conditional format...
Calibri rWrap Text General - 10 TT 19 Copy -A A == R Normal Conditional format as Check Cell Formatting Table Bad Explanatory Good Follow B U Merge Center S. Alignment Number Styles M2 - S T U V W X Y Z E A = you entered/2pts > = you entered/2pts > O P Q R Shear stress for new x'y (prime direction Txy (MPa) Normal stress in new y(prime) direction dy (MPa) 14 pts total - You entered/2pts...
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:...
(15%) Give the components of the A, transformation matrix from the original (1,2,3) Coordinates to the...
(15%) Give the components of the A, transformation matrix from the original (1,2,3) Coordinates to the new (1'2',3) coordinates by a rotation of 30° around the 1-axis. (Caution: The examples in our lecture were with a rotation of θ around the 3-and the 2-axis) (20%) Given that the stress components at a point in the (1,2,3) coordinate system are given by (o 0 01 Ơii-10 50 30|MPa 0 30 80 What are the ơ221 ơ23, and ơ33 components in the...
1. For the element shown, use Mohr's circle to find the principal stresses and the rotation necessary to get to that state. 25 MPa 110 MPa 38 MPa 5,= 119.96 MPa 52 = - 34.96 MPa 0,- 14.69.cw
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following data sets give the stresses on the initial stress element (ox=300 MPa; Oy=-100 MPa; Txy=80MPa CW). Perform the following operations: (a) Draw the complete Mohr's circle, labeling critical points including 01, 02, Tmax, and Oavg. (b) On Mohr's circle, indicate which line represents the x-axis on the initial stress element. (c) On Mohr's circle, indicate the angles from the line representing the x-axis to...
2. At a point in a rock layer underground, the vertical and horizontal principal stresses are 120 kN/m2 and 46 kN/m2 (both in compression), respectively. a) Label the element with the principal stresses b) Draw the Mohr's circle for these conditions. Label the axes. c) On the Mohr's circle, label the major and minor principal stresses, the deviator stress, and the center of the circle. Show all applicable coordinates or values d) What is the maximum shear stress and the...
Problem #2 [50 Points, 10 each) A structure has the stresses on its most critical point (a) as shown. If the yield strength for the material is Sy=420 MPa. Determine the following 1. Draw Mohr's Circle for the stress element 2. Principal Stress element showing all stresses and angle 3. Maximum Shear Stress element showing all stresses and angle 4. Determine the factor of Safety of this structure against yielding. 5. If the structure fails, what would you do to...
please write the steps clearly
1. For each stress states listed below, 1) Calculate all three principal stresses and max shear stress 2) Draw a 3D Mohr's circle diagram (a) 0. - 30 MPa, y =-60 MPa, Twy - 30 MPa cw (b) 0,= -40 MPa, 0, = 10 MPa, Twy - 15 MPa CCW (a) 0, 20 kpsi, 0, 0 kpsi, o, - 20 kpsi, ty = 40 kpsi, T -2072 kpsi, and T 0 kpsi
Name Major Mail Box # MAE 243-Mechanics of Materials- Fall 2018 Paper-Based Homework 8 (20 Points) This homework is due Monday, November 12, 2018 (sections 1 & 3) or Tuesday, November 13, 2018 (section 2) at the beginning of the class on your instructor's desk. (a) The angle between the x axis and y is 47.5 13 MPa Determine the state of stress with respect to the primed axes. (b) Find the principal stresses. (c) Find the principal planes. (d)...
For the beam shown below, determine the flexural stresses, shear
stresses, principal stresses,
and the angle to the principle stress plane at the locations
shown. Can you solve Location one and 4 first< then as many
other as you can please?
Locations 1 and 2 are at the top of the beam, while locations 5
and 6 are at the bottom.
Location 3 is at the beam mid-height, while location 4 is midway
between locations 3 and 5.
Assume that...
Calibri rWrap Text General - 10 TT 19 Copy -A A == R Normal Conditional format as Check Cell Formatting Table Bad Explanatory Good Follow B U Merge Center S. Alignment Number Styles M2 - S T U V W X Y Z E A = you entered/2pts > = you entered/2pts > O P Q R Shear stress for new x'y (prime direction Txy (MPa) Normal stress in new y(prime) direction dy (MPa) 14 pts total - You entered/2pts...
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:...
(15%) Give the components of the A, transformation matrix from the original (1,2,3) Coordinates to the new (1'2',3) coordinates by a rotation of 30° around the 1-axis. (Caution: The examples in our lecture were with a rotation of θ around the 3-and the 2-axis) (20%) Given that the stress components at a point in the (1,2,3) coordinate system are given by (o 0 01 Ơii-10 50 30|MPa 0 30 80 What are the ơ221 ơ23, and ơ33 components in the...
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