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3. A tissue specimen is tested in "equibiaxial stretching', by an amount Л in the in-plane...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
Let Ti, T R2R be the following transformations ·T, is rotation by 45 degrees clockwise around 0. . T2(x) is obtained by stretching the axis by a factor of 3, and leaving the y axis unchan Describe ho...
Let Ti, T R2R be the following transformations ·T, is rotation by 45 degrees clockwise around 0. . T2(x) is obtained by stretching the axis by a factor of 3, and leaving the y axis unchan Describe how to perform the following transformations using T and T2 (e.g. in terms of T oT2, or inverses, or other such things) (a) Rotate by 45 degrees clockwise, then stretch the r-axis by a factor of 3 (and leave y unchanged) (b) Stretch...
For a plane strain extrusion process shown in the figure, the knowns are: the initial and final thickness of the workpiece t0 and t1
For a plane strain extrusion process shown in the figure, the knowns are: the initial and final thickness of the workpiece t0 and t1, (the width w is much larger than the thickness), the wedged die semi angle α, the deformation zone is from section a to section b of known x-coordinate Columbian friction coefficient of the workpiece-die is μ, and the workpiece yield strength from uniaxial tension is Y (ignore elastic strain) A. Determine the extrusion force F if we...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
. 3. An electromagnetic plane wave of (angular) frequency w is traveling in the r direc-...
. 3. An electromagnetic plane wave of (angular) frequency w is traveling in the r direc- tion through the vacuum. It is polarized in the y direction, and the amplitude of the electric field is E (a) Write down the electric and magnetic fields, E(r, y, z, t) and B(x, y, z,t). Be sure to define any auxiliaru quantities you introduce, in terms of w, Eo, and the con stants of nature.] (b) This same wave is observed from "other"...
Question 17 marks). A sample of Alzheimer's patients is tested to assess the amount of time...
Question 17 marks). A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep these patients get in a 24-hour period. Number of minutes spent in Stage IV sleep is recorded for 61 patients. The mean stage IV sleep over a 24 hour period of time for these 61 patients was 48 minutes with a standard deviation of 14 minutes. (a) Compute 95% confidence interval for mean stage IV sleep. Interpret this confidence interval....
3) A particle moves in the xy-plane with velocity v (m/s) for time t (s) according...
3) A particle moves in the xy-plane with velocity v (m/s) for time t (s) according to u = (6t-4t2)1+ 9). a. Determine the direction of the particle at t 1.5 s in terms of an b. Determine the time or times (for t>0s) when the velocity is zero. If it c. Determine the x-component and y-component of acceleration at d. Determine the time or times (for t>0s) when the acceleration is zero. angle with respect to the x-axis. is...
need solution for milestones A Q1 Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
3. Using a long rod that has length y, you are going to lay out a...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is p. Thus the area of the plot will be ?. However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., Xn of the length. Assume that each X, has mean y (unbiased measurements) and variance o?. a) Is X2 unbiased for ? why or...
3. Using a long rod that has length y, you are going to lay out a...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is u. Thus the area of the plot will be ? However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., X., of the length. Assume that each X; has mean 4 (unbiased measurements) and variance o? a) Is X2 unbiased for u?? why or...
)Given a 4-node element in x-y plane as shown here: Node X 3 3 1 8 a) Using the shape functions in u-v plane, determine an expression for mapped points from u-v to x-y, i.e. x- x(u, v) and y -y(u, v), for points within the 4-node element in u-v plane. Then, determine value of x and y for a point with (u, v)-(0.3,0.3). (10 points) b) Determine the value of Jacobian matrix, [J], and its determinant for such mapping...
Let Ti, T R2R be the following transformations ·T, is rotation by 45 degrees clockwise around 0. . T2(x) is obtained by stretching the axis by a factor of 3, and leaving the y axis unchan Describe how to perform the following transformations using T and T2 (e.g. in terms of T oT2, or inverses, or other such things) (a) Rotate by 45 degrees clockwise, then stretch the r-axis by a factor of 3 (and leave y unchanged) (b) Stretch...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
. 3. An electromagnetic plane wave of (angular) frequency w is traveling in the r direc- tion through the vacuum. It is polarized in the y direction, and the amplitude of the electric field is E (a) Write down the electric and magnetic fields, E(r, y, z, t) and B(x, y, z,t). Be sure to define any auxiliaru quantities you introduce, in terms of w, Eo, and the con stants of nature.] (b) This same wave is observed from "other"...
Question 17 marks). A sample of Alzheimer's patients is tested to assess the amount of time in stage IV sleep these patients get in a 24-hour period. Number of minutes spent in Stage IV sleep is recorded for 61 patients. The mean stage IV sleep over a 24 hour period of time for these 61 patients was 48 minutes with a standard deviation of 14 minutes. (a) Compute 95% confidence interval for mean stage IV sleep. Interpret this confidence interval....
3) A particle moves in the xy-plane with velocity v (m/s) for time t (s) according to u = (6t-4t2)1+ 9). a. Determine the direction of the particle at t 1.5 s in terms of an b. Determine the time or times (for t>0s) when the velocity is zero. If it c. Determine the x-component and y-component of acceleration at d. Determine the time or times (for t>0s) when the acceleration is zero. angle with respect to the x-axis. is...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is p. Thus the area of the plot will be ?. However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., Xn of the length. Assume that each X, has mean y (unbiased measurements) and variance o?. a) Is X2 unbiased for ? why or...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is u. Thus the area of the plot will be ? However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., X., of the length. Assume that each X; has mean 4 (unbiased measurements) and variance o? a) Is X2 unbiased for u?? why or...
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