A Continuous and Aligned Fiber reinforced Composite is to Be Produced Consisting of

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A continuous and aligned fiber-reinforced composite is to be produced consisting of 30 vol% aramid fibers and 70 vol% of a polyc

arbonate matrix; mechanical characteristics of these two materials are as follows:
Modulus of Elasticity [GPa] Tensile Strength [MPa] Aramid fiber 131 3600 Polycarbonate 2.4 65
Also, the stress on the polycarbonate matrix when the aramid fibers fail is 45 MPa. For this composite, compute the following:
(a) the longitudinal tensile strength, and
(b) the longitudinal modulus of elasticity

1 answer:

5 0

Answer:

1. 1111.5MPa

2. 56.1GPa

Explanation:

1. Longitudinal tensile stress can be obtained by obtaining the strength and volume of the fiber reinforcement. The derived formula is given by;

σcl = σm (1 - Vf) + σfVf

Substituting the figures, we will have;

45(1 - 0.30) + 3600(0.30)

45(0.70) + 1080

31.5 + 1080

= 1111.5MPa

2. Longitudinal modulus of elasticity or Young's modulus is the ability of an object to resist deformation. The derived formula is given by;

Ecl = EmVm + EfVf

Substituting the formula gives;

= 2.4 (1 - 0.30) + 131 (0.30)

= 2.4(0.70) + 39.3

= 16.8 + 39.3

= 56.1GPa

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Answer:

the heat of reaction is - 18.423 kJ (exothermic) or -393.37 kJ/mol of graphite

Explanation:

If we neglect the absorption of heat of the excess of oxygen because is low compared with the calorimeter, then we can assume that all the heat released by the reaction Q gra is absorbed by the calorimeter Q cal  ( if we assume also that the calorimeter is completely isolated). Then

Q gra + Q cal = Q surr =0

since

- Q gra = ΔU ( constant volume process)

- Q cal = C * (T final - T initial ) , where C= heat capacity of the calorimeter, T final = final temperature of the calorimeter , T initial = initial temperature o the calorimeter,

ΔU + C*(T final - T initial ) = 0 → ΔU = C* (T initial - T final )

but the relationship between constant volume heat ( ΔU) and constant pressure heat ( ΔH = heat of reaction) is

ΔH = ΔU + R*T*Δn

where Δn= variation of moles of gas due to the reaction .

Since the oxygen is in excess we assume that all the graphite will react and turn into carbon dioxide

C + O₂ → CO₂ , but since the stoichiometric coefficients are the same Δn=0 ( one mole of O₂ consumed generates one mole of CO₂ , thus there is no variation in the number of moles of gas)

therefore

ΔH = ΔU = C* (T initial - T final ) = 20.7 kJ/˚C* (25.00˚C - 25.89˚C ) = -18.423 kJ

or the specific heat of reaction

Δh= ΔH/m = 18.423 kJ/ 0.562 gr * 12gr/mol = 393.37 kJ/mol of graphite

Answer:

Orthographic projection is a projection method to present three-dimensional shapes in two-dimensional format in which the projection lines are drawn to be orthogonal to the plane of projection, such that each view of the three-dimensional object is translated to a view of the orthographic projection and orthogonal to the view

A multiview projection is the representation of a three-dimensional projection by two or more two-dimensional views

Explanation:

Answer:

pin punch

Explanation:

  1. <em><u>Pin</u></em> <em><u> </u></em> <em><u>Punch</u></em> <em><u> </u></em>
  2. <em><u> </u></em> <em><u>pin</u></em> <em><u> </u></em> <em><u>punch</u></em>

Answer:

AC or

Explanation:

BC

Answer:

i) when circuit is unloaded : R1 + R2 = 2kΩ.

ii) when 5V output voltage is applied :  R1 = 1 kΩ , R2 =  1 kΩ

iii) when 2.5 v output voltage is applied : R1 = 1500 Ω,  R2 = 500 Ω

iv) when: R1 = 1 kΩ , R2 =  1 kΩ  is connected in parallel output voltage < 5 V

When : R1 = 1500 Ω, R2 = 500 Ω is connected in parallel output voltage > 2.5V

Explanation:

Current drawn from source under loaded condition ≤ 5 mA

source voltage = 10 v ,  required output = 5 v , 2.5 v

attached below is the sketch of the circuit

Resistance values

<em>i) when the circuit is unloaded </em>

Req = R1 + R2 = 2 kΩ  ( Req = Vs / I  = 10 / 5*10^-3 = 2 kΩ )

<em>ii) when  output voltage = 5 v</em>

we will apply voltage divider rule

R1 = 1 kΩ ,

R2 =  1 kΩ

<em>iii) When the output voltage = 2.5 v </em>

applying voltage divider rule

R1 = 1500 Ω

R2 = 500 Ω

iv) when the load is connected to each tap one at a time

i.e. when the resistance are in parallel

when: R1 = 1 kΩ , R2 =  1 kΩ  is connected in parallel output voltage < 5 V

When : R1 = 1500 Ω, R2 = 500 Ω is connected in parallel output voltage > 2.5V

attached below is the detailed solution to the given problem

charbonneauanscialtat.blogspot.com

Source: https://1answer.guru/questions/7017132-a-continuous-and-aligned-fiber-reinforced-composite-is-to-be.html

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