Question

Given the principle stresses of σ1 =100 MPa (vertical) and σ3 = 20 MPa (horizontal), determine the normal and shear stresses on a fault plane that dips 30° from horizontal.

Answer #1

A soil element is subjected to a minor principle stress of 50
kPa on a plane rotated 20 °counterclockwise from vertical. If the
deviator stress is 120 kPa and the shear strength parameters are a
friction angle of 30° and a cohesion of 5 kPa, determine the
magnitude of the stresses on the failure plane and the orientation
of this plane with respect to the major principle stress plane.

A direct shear test was run a cylindrical sample of sands using
a vertical force of 160N. The sample had a diameter of 51mm.
Determine: a) If the maximum horizontal force was
1065N, what was the peak friction angle? b) If
this material is tested using a triaxial apparatus, what will be
the major principle stress σ1 ’ at failure, under the minor
principle stress of σ3 ’ = 120 kPa?

A state of stress is given by: σx = −200 MPa
σy = 150 MPa
σxy= −70 MPa
Determine the principal stresses and the maximum shear stress,
as well as their orientation, using
the Mohr circle construction.
b. Explain why the engineering stress in a tension test increases
from yield to ultimate and then
decreases from ultimate to fracture.

Determine the magnitude and direction of the principal voltages
for the voltage state given by ? = 200, ? = 400, ?xy=
-100, ?zz= ?xz= ?yz= 0 ( all in
MPa). Sketch Mohr's voltage circles in the ? ? plane and draw in
the xy plane the direction of its main voltages, connected to the
correct main voltage.
What is the greatest shear stress for this stress state?

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vertical screen are separated center-to-center by 3.8 . These are
directly illuminated by a laser system. Horizontal fringes are
formed on a vertical viewing screen 4 from the aperture plane. The
center of the fourth bright band is 3.5 above the center of the
zeroth or central bright band. a. (10 points) Determine the
wavelength of the light in air.

II. (Budget Constraint) Put meat on horizontal and potatoes on
vertical axis.
1. (Day 1) Suppose your income is $1000, prices of meat and
potatoes are $10 and $20, respectively. Find the budget constraint
equation and draw the budget line. Explain what the two intercepts
mean.
2. (Day 2) Now meat has become cheaper. It costs $5. Your income
and the price of potatoes did not change. Answer the same questions
given in 1.
3. (Day 3) The next day,...

Saturated steam at 60 ºC is condensed over an array of 100
horizontal tubes, each with a diameter of 1.2 cm and a length of 3
m. The tube surfaces are maintained at a uniform temperature of 30
ºC. a) What is the pressure of the steam? _____________ kPa. (Note
that this could have been given instead of steam T.) Determine the
condensation rates on the tubes for b) a rectangular array of 5
tubes high by 20 tubes wide...

A B C D 20. A ball rolls off a table with a horizontal velocity
of 6 m/s. If it takes 0.5 seconds for it to reach the floor: What
is the vertical component of the ball's velocity in m/s just before
it hits the floor? (Use g = 10 m/s^2) a) 6, b) 10, c) 3, d) 5.
A B C D 21. A ball rolls off a table with a horizontal velocity
of 6 m/s. If it takes...

From the list given to you for each of the following hypothesis
testing situations, indicate the test you would use and the reason
(e.g., One sample test for the variance of a normal
distribution)
1) One sample z test for the mean of a normal distribution with
known variance (Test 1*)
2) One-Sample T-Test for the Mean of a Normal Distribution with
unknown Variance (Test 2)
3) The paired t-test (Test 3)
a) A major portion of waiters’ and waitresses’...

Question 1 2.5 pts 1. The perfectly competitive firm's demand
curve is horizontal at the market price. True False Flag this
Question Question 2 2.5 pts 2. In perfect competition, the market
price is established at the intersection of the market demand and
market supply curves in the industry and the individual firms are
"price takers" of that market price. True False Flag this Question
Question 3 2.5 pts 3. The perfectly competitive firm will continue
to produce in the...

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