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alexdok [17]
3 years ago
6

Undisturbed samples from a normally consolidated clay layer were collected during a subsoil exploration. Drained triaxial tests

showed that the effective friction angle was φ’ = 25°. The unconfined compressive strength, qu, of a similar specimen was found to be 133 kN/m2. Find the pore pressure at failure for the unconfined compression test.
Physics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

pre water pressure = \sigma_1 = 208.76 kN/m2

Explanation:

given data:

frictional angle  25°

unconfined xompressive strength  qu = 133 kN/m2

for clay, unconfined compressive strenth is cu

cu =\frac{qu}{2}

cu = 133/2 =66.5 kN/m2

cell pressure \sigma_3 is zero in uncomfined compressive strenth test

from principle effective stress we have

\sigma_1 = \sigma_2 tan^{2}(45+ \frac{\theta}{2}) +2cu tan(45+ \frac{\theta}{2})

\sigma_1 = 2cu tan(45+ \frac{\theta}{2})

\sigma_1 = 2*66.5 tan(45+ \frac{25}{2})

\sigma_1 = 208.76 kN/m2

as this test is quick test i.e. undrained test therefore

pre water pressure = \sigma_1 = 208.76 kN/m2

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Ostrovityanka [42]

A normal human being can rotate his neck at maximum angle of 70 degree at one stretch

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now we will have

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now we have

d = 81.2 m

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8 0
2 years ago
After a party the host pours the remnants of several bottles of wine into a jug. He then inserts a cork with a 2.25-cm diameter
bulgar [2K]

Answer:

F = 8066.67 N

Explanation:

The extra force exerted on the bottom of the jug can be expressed as the pressure generated by the cork multiplied by the area of the bottom. We can also obtain the Pressure P by dividing the force F1 applied to the cork by it's area A1.

Thus;

F = PA2 = (F1/A1) x (A2)

F = (F1/(πd1²/4)) x (πd2²/4)

π/4 will cancel out to give;

F = F1(d2/d1)²

F = 150(16.5/2.25)

F = 8066.67 N

7 0
3 years ago
A block of mass 4 kg slides down an inclined plane inclined at an angle of 30o with the horizontal. Find the acceleration of the
Nataly [62]

Answer:

a) a = 4.9 m/s²

b) a = 1.5 m/s²

Explanation:

no friction

F = ma

gsinθ = ma

a = gsinθ

a = 9.8sin30

a = 4.9 m/s²

friction

gsinθ - μmgcosθ = ma

a = g(sinθ - μcosθ)

a = 9.8(sin30 - 0.4cos30)

a = 1.5051...

8 0
2 years ago
horizontal force pushes block up a 20.0 incline with an initial speed 12.0 m//s. a) how high up the plane does slide before comi
Annette [7]

Answer:

Explanation:

We shall apply conservation of mechanical energy .

initial kinetic energy = 1/2 m v²

= .5 x m x 12 x 12

= 72 m

This energy will be spent to store potential energy . if h be the height attained

potential energy = mgh , h is vertical height attined by block

= mg l sin20  where l is length up the inclined plane  

for conservation of mechanical energy

initial kinetic energy  = potential energy

72 m = mg l sin20

l = 72 /  g  sin20

= 21.5 m

deceleration on inclined plane = g sin20

= 3.35 m /s²

v = u - at

t = v - u / a

= (12 - 0) / 3.35

= 3.58 s

it will take the same time to come back . total time taken to reach original point = 2 x 3.58

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7 0
2 years ago
Una cuerda horizontal tiene una longitud de 5 m y masa de 0,00145 kg. Si sobre esta cuerda se da un pulso generando una longitud
FromTheMoon [43]

Answer:

Option (A) is correct.

Explanation:

A horizontal rope has a length of 5 m and a mass of 0.00145 kg. If a pulse occurs on this string, generating a wavelength of 0.6 m and a frequency of 120 Hz. The tension to which the string is subjected is

mass of string, m = 0.00145 kg

Frequency, f = 120 Hz

wavelength = 0.6 m

Speed = frequency x wavelength

speed = 120 x 0.6 = 72 m/s

Let the tension is T.

Use the formula

v =\sqrt\frac{T L}{m}\\\\72 = \sqrt\frac{T\times 5}{0.00145}\\\\T = 1.5 N

Option (A) is correct.

7 0
2 years ago
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