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Talja [164]
3 years ago
14

Perform a theoretical analysis of the rectangular profiled cantilevered beam. Provide a theoretical expression (in symbolic form

) for the surface strain () as a function of the various parameters Cx, L, w , W, E. ? Assuming the metal strip is composed of nominal grade aluminum ( 10% 10 lbfin2 69 × 109 Pa, see TABLE D.9 in the text, substitute and derive a theoretical expression for ?-strain as a function of x, L, and W only, where x and I are in units of millimeters and W'is in units of grams force. Note: 1 gram force the force of gravity on a one gram mass (l g mass) x (acceleration of gravity)-0.0981 N.

Engineering
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer:

Please kindly endeavour to check the attached file.

Explanation:

Please check the attachment on this answer for clear step by step explanations for the queation

Thanks.

substitute and derive a theoretical expression for ?-strain as a function of x, L, and W only, where x and I are in units of millimeters and W'is in units of grams force. Note: 1 gram force the force of gravity on a one gram mass (l g mass) x (acceleration of gravity)-0.0981 N.

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Explanation:

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2 years ago
A continuous random variable, X, whose probability density function is given by f(x) = ( λe−λx , if x ≥ 0 0, otherwise is said t
Ganezh [65]

Answer:

a) F(x) = \lambda \int_0^{\infty} e^{-\lambda x} dx= -e^{-\lambda x} \Big|_0^{\infty} = 1- e^{-\lambda x} \

b) P(10 < X

Explanation:

Previous concepts

The cumulative distribution function (CDF) F(x),"describes the probability that a random variableX with a given probability distribution will be found at a value less than or equal to x".

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution".

Part a

Let X the random variable of interest. We know on this case that X\sim Exp(\lambda)

And we know the probability denisty function for x given by:

f(x) = \lambda e^{-\lambda x} , x\geq 0

In order to find the cdf we need to do the following integral:

F(x) = \lambda \int_0^{\infty} e^{-\lambda x} dx= -e^{-\lambda x} \Big|_0^{\infty} = 1- e^{-\lambda x} \

Part b

Assuming that X \sim Exp(\lambda =0.1), then the density function is given by:

f(x) = 0.1 e^{-0.1 x} dx , x\geq 0

And for this case we want this probability:

P(10 < X

And evaluating the integral we got:

P(10 < X

4 0
3 years ago
A direct contact heat exchanger (where the fluid mixes completely) has three inlets and one outlet. The mass flow rates of the i
lara31 [8.8K]

Answer:

Enthalpy at outlet=284.44 KJ

Explanation:

m_1=1 Kg/s,m_2=1.5 Kg/s,m_3=22 Kg/s

h_1=100 KJ/Kg,h_2=120 KJ/Kg,h_3=500 KJ/Kg

We need to Find enthalpy of outlet.

Lets take the outlet mass m and outlet enthalpy h.

So from mass conservation

m_1+m_2+m_3=m

   m=1+1.5+2 Kg/s

  m=4.5 Kg/s

Now from energy conservation

m_1h_1+m_2h_2+m_3h_3=mh

By putting the values

1\times 100+1.5\times 120+2\times 500=4.5\times h

So h=284.44 KJ

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3 years ago
Air enters a diffuser operating at steady state at 540°R, 15 lbf/in.2, with a velocity of 600 ft/s, and exits with a velocity of
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Answer: Hello the question is incomplete below is the missing part

Question:  determine the temperature, in °R, at the exit

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Explanation:

T1 = 540°R

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V1 = 60 ft/s

h1 = 129.0613  ( value gotten from Ideal gas property-air table )

<em>first step : calculate the value of h2 using the equation below </em>

assuming no work is done ( potential energy is ignored )

h2 = [ h1 + ( V2^2 - V1^2 ) / 2 ] * 1 / 32.2 * 1 / 778

∴ h2 = 136.17 Btu/Ibm

From Table A-17

we will apply interpolation

attached below is the remaining part of the solution

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Answer:

μ = 0.136

Explanation:

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μ = 0.136

so, the minimum coefficient of friction between road surface and car tyre is equal to μ = 0.136

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3 years ago
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