Hoop stress (cyl.) Longitudinal (sph.) P=Int. pressure, t=thickness σ1 = Prt σ2 = Pr2t σ1 = 2σ2 Shear Stress & Strain Pure shear Mod of rigidity τ = shear force vx-area A εx= εy= εz = 0 Strain in rads. γxy= τxyG G =E2(1+v) G = τγ γxy = τxyG γyz = τyzG γzx = zxG

Torsion circular members Angle of twist ∅ γ = ρ ∅L γmax= c ∅L (c=ρ) γ = ρ cγmax (Radius ρ) ∅= T LJ G → T = J GL ∅ = L γminc1 τ = T ρJ τmax = T cJ → T = π2 c3τmax τ = ρ cτmax...

...Helpful Advising Information
College of Sciences
October 16, 2012
I. General Education Requirements
A. “C” or better in ENGL 1158 (1159 for Honors students); “D” ok in ENGL 1157.
B. Literature can be any language; writing courses do not count.
C. Social Sciences – 6 hours, including 3 hours at 2000+ level.
1. Includes Anthropology, Economics, Geography, Political Science, Psychology,
Sociology, and Urban Studies.
2. History is NOT Social Science; it is Humanities.
D. Humanities – Film, Theater, and Communication Arts, English, Foreign Languages, History,
Philosophy, and Women’s and Gender Studies.
*A&S courses count as Humanities or Social Sciences.
E. Arts – Fine Arts, Music, and theater/dance/film-related courses in Film, Theater, and
Communication Arts.
* FTCA 2650 Oral Communications is NOT Arts.
Note: Mixing requirements from different catalogs is not permitted. The requirements of the selected catalog (any catalog in force during the student’s continuous enrollment) must be followed throughout the degree program. A student who breaks enrollment (either voluntarily or by compulsion) for two consecutive semesters (not one semester and a summer term) may not elect a catalog earlier than the one in force at the time of re-enrollment.
II. College of Sciences Requirements
A. Science courses that cannot be used for degree credit – see attachment 1.
B. Free elective restrictions – see attachment 2.
III. Transfer...

...Homework 2
Solution Key
Problem 1. Suppose that you sell short 500 shares of Intel, currently selling for $40 per share,
and you give your broker $15,000 to establish your margin account. Assume Intel pays no
dividends.
a) If you earn no interest on the funds in your margin account, what will be your rate of
return after one year if Intel stock is selling at (i) $44; (ii) $40; (iii) $36?
The gain or loss on the short position is 500 P . Invested funds are $15,000.
Therefore, your rate of return will be 500 P / 15000 . The returns in each of the
three scenarios are:
(i)
(ii)
(iii)
500 4 / 15000 13.3%
500 0 / 15000 0%
500 (4) / 15000 13.3%
b) If the maintenance margin is 25%, how high can Intel’s price rise before you get a margin
call?
Total assets in the margin account are $20,000 from the sale of the stock plus $15,000,
which was the initial margin. Your liabilities are 500P. A margin call will be issued when
35000 500 P
.25
500 P
P 56
Problem 2: You’ve borrowed $20,000 on margin to buy shares in Disney, which is now
selling at $40 per share. Your account starts at the initial margin requirement of 50%. The
maintenance margin is 35%. Two days later, the stock price falls to $35 per share.
a) Will you receive a margin call?
You will not receive a margin call. You borrowed $20,000 and with another $20,000 of
your own equity you bought 1000 shares of Disney at $40 a share. At $35 a share the...

...disease or infirmity." An important consequence of this definition is that mental health is described as more than the absence of mental disorders or disabilities. Also, mental health is a state of well-being in which an individual realizes his or her own abilities and improve their cognitive, can cope with the normal stresses of life, can work productively and is able to make a contribution to his or her community. In this positive sense, mental health is the foundation for individual well-being and the effective functioning of a community. Accordingly I am developing my state of mental health from the time I came to Malaysia to study all by myself, because, I learnt many things in my life after I came to Malaysia and I was able to go through stress with a positive mind even
though I was all alone by myself. Further, multiple social, psychological, and biological factors determine the level of mental health of a person at any point of time. For example, persistent socio-economic pressures are recognized risks to mental health for individuals and communities. The clearest evidence is associated with indicators of poverty, including low levels of education. Poor mental health is also associated with rapid social change, stressful work conditions, gender discrimination, social exclusion, unhealthy lifestyle, risks of violence and physical ill-health and human rights violations. There are also specific psychological and personality factors that make people...

...TITLE
Studies on Stress Concentration Using Experimental and Numerical Methods
ABSTRACT
This paper presents the experimental and numerical studies that had been conducted to investigate the stress concentration around a circular cutout in an isotropic material. Test specimens with circular holes were loaded in tension and bending. The tension test specimen was loaded in an Instron test machine.
By mounting a set of strain gages orthogonal to the applied loading direction, the longitudinal strain measurements in the vicinity of the hole can be performed. The strains obtained by the series of strain gages placed at varying distances from the hole were extrapolated to the edge of the hole to determine the peak stress at the hole. These peak stresses were divided by the corresponding nominal far field stresses to obtain the stress concentration factors for specimen loaded in tension.
The bending case was investigated with a cantilever beam with a hole at its mid span. A hole was located so that the nominal stress at the fixed end was the same as the one at the location of the hole.
Strain gages were placed at varying distances from the edge of the hole, one being directly adjacent to the edge. Known amounts of load were applied at the free end of the beam. The peak strains at the hole were extrapolated from the strain gage readings similar to what was done for the tension case. The...

...Module Code: FC006
Group: C
Module Title: Economics in an International Context
Assessment Title: What are the main differences between Monopolistic Competition and Oligopoly market structures? Which of these market structures best serves the interests of the consumer and why?
Tutor Name: David Lee
Student ID Number: 200937726
Date of submission: 22th March 2013
Word Count:
There are different types of market structure, which every type of market structure has different level of barriers to enter, different number of firms, different types of product and so on. The most common market structures are perfect competition, monopolistic competition, oligopoly and monopoly. This essay will be about the main differences between monopolistic competition and oligopoly, and explain which of these market structures best serves the interests of the consumer.
According to Sloman(2007) "Monopolistic competition is nearer to the competitive end of the spectrum. It can best be understood as a situation where there are a lot of firms competing but each firm have some degree of market power." In other words, there are a lot of buyers and sellers in a monopolistic market structure. Products are heterogeneous, which means that product are not the same but similar, they can be various in terms of different sellers. Consumers have perfect knowledge about the product because product are similar. Also, it is completely free to enter and exit the market.
In...

...REGRESSION
1. Prediction Equation
2. Sample Slope
SSx= ∑ x2- (∑ x)2/n
SSxy= ∑ xy- ∑ x*∑ y/n
3. Sample Y Intercept
4. Coeff. Of Determination
5. Std. Error of Estimate
6. Standard Error of 0 and
1
7. Test Statistic
8. Confidence Interval of 0 and 1
9. Confidence interval for mean value of Y given x
10. Prediction interval for a randomly chosen value of Y given x
11. Coeff. of Correlation
12. Adjusted R2
13. Variance Inflation Factor
14. Beta Weights
15. Partial F Test
SSER - sum of squares of error of reduced model SSEF - sum of squares of error of full model
r – no. of variables dropped from full model.
16. Outliers
Measure | Potential Outliers |
Standardized residual, Studentized residual | > 3 (3 sigma level) |
Mahalanobis distance | > Critical chi-square value with df = number of explanatory variables(Outliers in independent variable) |
Cook’s distance | > 1 implies potential outlier |
Leverage values | > 2(k+1)/n, then the point is influential (k is the number of independent variables and n is the sample size) |
SDFBeta | > 2/n |
SDFFit | |
17. Mahalanobis Distance
Mi = (Xi – X)2/ Sx
18. Cook’s Distance
Di =
∑j (Yj – Yj(i))2/k x MSE
19. Durbin Watson Test
Durbin Watson value close to 2 implies no auto-correlation
Durbin Watson value close to 0 implies positive auto-correlation
Durbin Watson value close to 4...

...Independent sample T-test: * unknown variances * expected normal distribution * comparing means * (Als variantie bekend is dan z-test) * Analyse-compare means-independent sample t-test, define groups * H0: RateMen=RateWoman (do not differ) * Ha: Ratemen≠RateWoman (RateMen differs from RateWoman) * H0: u1 = u2 vs. HA: u1 ≠ u2 (this is two tailed ) also possible: * H0:uWomen≥ uMen vs. HA: uWomen0 OR d 6000 → Ha: p > 0,5 of Ha≠0,5 indien dubbelzijdig wilt testen.notice: one-sided testing!! |
15.4.2 The Multiple Regression Model 13- First compute the new variable Price Difference: Transform, Compute Variable - In the compute variable box edit PriceDif as Target Variable; edit in the Numeric Expression using the variable names from the variable list: IndPrice – Price; click on OK. - In the same way you let SPSS compute the target variable SqAdvExp with the numerical Expression: AdvExp ** 2. - In the Data View you see two new variables are created: PriceDif and SqAdvExp.- Now you can use the multiple linear regression as explained in appendix 14.4.1: Analyse / Regression / Linear with dependent variable Demand and independent variables: PriceDif, AdvExp and SqAdvExp | 18.4.2 The Wilcoxon Rank Sum...

...FORMULASHEET – for student reference only
Perpetuity:
The value of a perpetuity of $RM1 per year is:
Equivalent Annual Cost:
If an asset has a life of ‘t’ years, the equivalent annual cost is:
Annuity:
The value of an annuity of $RM1 per period for t years (t-year annuity factor) is:
Measures of Risk:
Variance of returns = σ2
= expected value of
Standard deviation of returns, σ =
Covariance between returns of stocks 1 & 2 = σ1,2 = expected value of
Correlation between returns of stocks 1 & 2:
Beta of stock i = βi =
The variance of returns on a portfolio with proportion xi invested in stock i is:
A Growing Perpetuity (Gordon model):
If the first period’s cash flow is $RM1 at year 1 and if cash flows thereafter grow at a constant rate of ‘g’ in perpetuity:
A Growing Annuity:
The formula for an annuity discounted at an annual rate (i) and where cash flows are growing at an annual rate (g) is as follows:
An = 1- {(1+g)n/(1+i)n} x (1+g)
( i-g )
Continuous Compounding/Discounting:
If ‘r’ is the continuously compounded rate of interest, the present value of $RM1 received in year ‘t’ is:
Capital Asset Pricing Model (CAPM):
The expected risk premium on a risky investment is:
r – rƒ = β(rm – rƒ)
Bond Duration and Volatility:
Duration of T-period bond =
Volatility (modified duration) =...

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