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
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, 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...
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}
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...