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1. A type of rock is supposed to follow the Mohr-Coulomb linear strength criterion, the strength of the rock sample under uniaxial compression test is σc = 40 MPa, the angle between failure plane and the maximum principal stress σ1 is θ = 60o. If triaxial compression test is conducted on this rock sample with confining pressure σ3 = 3MPa, please calculate:
(a) The axial stress σ1 when the sample fails;
(b) The normal stress (σ) and shear stress (Τ) on the failure plane.
Prove that the product of a non-zero rational number and an irrational number is irrational and use a proof by cases to show that for any real numbers a, b and c, rnin(a, min(b, c)) = min(ntirt(a, b), c) .
The Blue Party promises to give Jane Jr. a tax credit after she graduates. At the end of the first year after she graduates, and continuing each year afterwards, her income taxes will be reduced by $200. What is the value today of the Blue Party's..
the everton college store paid $1824 for an order of 52 calculators. The store paid $ 8 for each scientific calculator. The others, all graphing calculators, cost the store $ 52 each. How many of each type of calculator was ordered?
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
Suppose the current is 3 amps and increasing at 10-2 amp/sec and R1 is 3 ohms and increasing at 0.5 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing. Give your answer to 4 decimal place..
a 52-year-old client asks an accountant how to plan for his future retirement at age 62. he expects income from social
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
The expected future of Achworth, which presently has 2000 residents, can be approximated by the formula y=2000(e).02t , where t is the number of years in the future.
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
A college student is interested whether there is a difference between male and female students in the amount of time spending working out each week. The student gathers information from a random sample of male and female students on her campus.
A woman 5 ft tall is standing near a lamp that is 12 ft tall. Find a function that models the Length L of her shadow in terms of her distance d from the base of the lamp.
if an air flight arrives on time .60% of the time and 15 flights are observed, what is the means number of on time flights per 15 flights.
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