Given the following stresses (in MP a); in each case: (a) Find the principal stresses σ1;...
Given the following stresses (in MP a); in each case:
(a) Find the principal stresses σ1; σ2; σ3:
(b) Find the corresponding principal vectors.
(c) Check that the invariants really are invariant.
(i) σxx = 0; σyy = 75; σzz = 45; σxy = 0; σyz = 30; σzx = 0:
(ii) σxx = σyy = σzz = 0; σxy = σyz = σzx = 100
Homework Answers
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Given the following stresses (in MP a); in each case:
(a) Find the principal stresses σ1;...
The block diagrams below show states of stress on soil elements. For each state of stress,...
The block diagrams below show states of stress on soil elements.
For each state of stress, perform the following tasks:
1. Sketch a Mohr circle of stress
2. Identify the major and minor principal stresses, σ1 and σ3,
and the maximum shear stress, τmax
3. Compute the mean stress and shear stress invariants, p and q.
Note that p = 1⁄2(σ1+ σ3) and q = σ1-σ3 for two-dimensional stress
conditions where we ignore the intermediate principal stress,
σ2.
4. Identify...
Problem 13. For each of the following we are given two vectors u, we V and...
Problem 13. For each of the following we are given two vectors u, we V and a linear trans- formation from a vector space V to itself. Check if the given vectors are eigenvectors for the transformation. If yes, then find the corresponding eigenvalues. (a). V=P3, 7(p(x))=x?p"(x) — xp'(x), with u =2+3x? and w=x?. (b). V = Muj, T(A)=A+A”, with u=[?) and w=[; ?] (c). V = P2, L(P(x) p(x)dx + (x – 3)p'(x) with u = 100 and w=3+3x.
EENG22S HOMEWORK III Q1. a) Find the phases corresponding to the following sinusoids (in parts in...
EENG22S HOMEWORK III Q1. a) Find the phases corresponding to the following sinusoids (in parts in and iv. caly one phasor for each case should be calculated) i. 40) 20-50) -10-50) im. 5,0)=15x21-50)-200x2+40) iv. 0-10-20 ) 15cf620) b) Find the sinusoids corresponding to the following phasors i. I--30+40 3rds 1.-30-40 rad's V. li Q2. In the circuit shown, the amplitude of the voltage across the resistor is 5 V in the steady-state. Find the amplitude of the voltage across the...
Exercise 6. (4pts each, 20pts total) Given the complex number zg = -1 + 2i, find...
Exercise 6. (4pts each, 20pts total) Given the complex number zg = -1 + 2i, find m distinct m-th roots (z/m) for the following values of m. You may leave your answer in exponential form. (i) m = 2 (ii) m=4 (iii) m = 10 (iv) m= 45 (v) m = 100
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...
Problem 7) This problem has two independent parts aj andb a) (5 points) Given the amulative distribution hretion (onfor a ranom vante x as twwr 0 45x Find P(X> 3) b) (5 points) The boxplot below s...
Problem 7) This problem has two independent parts aj andb a) (5 points) Given the amulative distribution hretion (onfor a ranom vante x as twwr 0 45x Find P(X> 3) b) (5 points) The boxplot below shows salaries for Construction Workers and Teachers Construction Teacher 45 40 35 30 25 20 Salary (thousands of s If a person is making the median salary for a Construction Worker, they are making more than what percentage of Teachers? (Circle only one) vi)...
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of...
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 50 units of fiber, 50 units of protein, and 30 units of fat. Each case of Brand C contains 75 units of fiber, 60 units of protein, and 30 units of fat. Each case of Brand D contains 100 units of fiber,...
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all rem...
I need help with question 6.18
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all remaining components are equal to sero ) Comment on the coupling efects obsereed 6.12 Compute the strains ( (y, and ry at the interface between the 459 and laminae above the middle surface by using the results of case (b) of Ezercise 6.11 and -45 /a.e3 6.23). cise 6.13 Compute the stresses ơz and σ1 in the...
A. What is the firm's WACC for Case 1? case 2? case 3? B. Which case...
A. What is the firm's WACC for Case 1? case 2? case 3?
B. Which case corresponds to the optimal WACC (case 1, 2, or
3)?
C. What is the corresponding D/(D+E) ratio (75%, 30%, 9%, 0%,
45%, 20%, 60%, 55%)?
D. Why does minimum WACC correspond to an entity's optimum
leverage for all stakeholders?
--Minimum WACC maximizes the present value of each future cash
flow.
--Minimum WACC minimizes the project's negative cash flows.
--Minimum WACC corresponds to an optimal...
4. Find the equivalence classes for each of the following equivalence relations R on the given...
4. Find the equivalence classes for each of the following equivalence relations R on the given sets A: (i) R = {(a,b): a = b (modulo 6)}, where A is the set of non-negative integers; (ii) R = {(0,0), (2,2), (0,2), (2,0), (4,4), (6,6), (6,8), (6,9), (8,6), (8,8), (8,9), (9,6), (9,8), (9,9)}, where A = {0, 2, 4, 6, 8, 9}
The block diagrams below show states of stress on soil elements.
For each state of stress, perform the following tasks:
1. Sketch a Mohr circle of stress
2. Identify the major and minor principal stresses, σ1 and σ3,
and the maximum shear stress, τmax
3. Compute the mean stress and shear stress invariants, p and q.
Note that p = 1⁄2(σ1+ σ3) and q = σ1-σ3 for two-dimensional stress
conditions where we ignore the intermediate principal stress,
σ2.
4. Identify...
Problem 13. For each of the following we are given two vectors u, we V and a linear trans- formation from a vector space V to itself. Check if the given vectors are eigenvectors for the transformation. If yes, then find the corresponding eigenvalues. (a). V=P3, 7(p(x))=x?p"(x) — xp'(x), with u =2+3x? and w=x?. (b). V = Muj, T(A)=A+A”, with u=[?) and w=[; ?] (c). V = P2, L(P(x) p(x)dx + (x – 3)p'(x) with u = 100 and w=3+3x.
EENG22S HOMEWORK III Q1. a) Find the phases corresponding to the following sinusoids (in parts in and iv. caly one phasor for each case should be calculated) i. 40) 20-50) -10-50) im. 5,0)=15x21-50)-200x2+40) iv. 0-10-20 ) 15cf620) b) Find the sinusoids corresponding to the following phasors i. I--30+40 3rds 1.-30-40 rad's V. li Q2. In the circuit shown, the amplitude of the voltage across the resistor is 5 V in the steady-state. Find the amplitude of the voltage across the...
Exercise 6. (4pts each, 20pts total) Given the complex number zg = -1 + 2i, find m distinct m-th roots (z/m) for the following values of m. You may leave your answer in exponential form. (i) m = 2 (ii) m=4 (iii) m = 10 (iv) m= 45 (v) m = 100
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...
Problem 7) This problem has two independent parts aj andb a) (5 points) Given the amulative distribution hretion (onfor a ranom vante x as twwr 0 45x Find P(X> 3) b) (5 points) The boxplot below shows salaries for Construction Workers and Teachers Construction Teacher 45 40 35 30 25 20 Salary (thousands of s If a person is making the median salary for a Construction Worker, they are making more than what percentage of Teachers? (Circle only one) vi)...
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 50 units of fiber, 50 units of protein, and 30 units of fat. Each case of Brand C contains 75 units of fiber, 60 units of protein, and 30 units of fat. Each case of Brand D contains 100 units of fiber,...
I need help with question 6.18
Macromechanics 215 N, 1000 N/m; all remaining components are equal to zero b) Mry 1 Nm/m; all remaining components are equal to sero ) Comment on the coupling efects obsereed 6.12 Compute the strains ( (y, and ry at the interface between the 459 and laminae above the middle surface by using the results of case (b) of Ezercise 6.11 and -45 /a.e3 6.23). cise 6.13 Compute the stresses ơz and σ1 in the...
A. What is the firm's WACC for Case 1? case 2? case 3?
B. Which case corresponds to the optimal WACC (case 1, 2, or
3)?
C. What is the corresponding D/(D+E) ratio (75%, 30%, 9%, 0%,
45%, 20%, 60%, 55%)?
D. Why does minimum WACC correspond to an entity's optimum
leverage for all stakeholders?
--Minimum WACC maximizes the present value of each future cash
flow.
--Minimum WACC minimizes the project's negative cash flows.
--Minimum WACC corresponds to an optimal...
4. Find the equivalence classes for each of the following equivalence relations R on the given sets A: (i) R = {(a,b): a = b (modulo 6)}, where A is the set of non-negative integers; (ii) R = {(0,0), (2,2), (0,2), (2,0), (4,4), (6,6), (6,8), (6,9), (8,6), (8,8), (8,9), (9,6), (9,8), (9,9)}, where A = {0, 2, 4, 6, 8, 9}
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