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Ronch [10]
3 years ago
8

A hypothetical metal alloy has a grain diameter of 1.7 102 mm. After a heat treatment at 450C for 250 min, the grain diameter ha

s increased to 4.5 102 mm. Compute the time required for a specimen of this same material (i.e., d 0 1.7 102 mm) to achieve a grain diameter of 8.7 102 mm while being heated at 450C. Assume the n grain diameter exponent has a value of 2.1.
Engineering
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:

the required time for the specimen is  1109.4 min

Explanation:

Given that;

diameter of metal alloy d₀ = 1.7 × 10² mm

Temperature of heat treatment T = 450°C = 450 + 273 = 723 K

Time period of heat treatment t = 250 min

Increased grain diameter 4.5 × 10² mm

grain diameter exponent n = 2.1

First we calculate the time independent constant K

dⁿ - d₀ⁿ = Kt

K = (dⁿ - d₀ⁿ) / t

we substitute

K = (( 4.5 × 10² )²'¹ - ( 1.7 × 10² )²'¹) / 250

K = (373032.163378 - 48299.511117) / 250

K = 1298.9306 mm²/min

Now, we calculate the time required for the specimen to achieve the given grain diameter ( 8.7 × 10² mm )

dⁿ - d₀ⁿ = Kt

t = (dⁿ - d₀ⁿ) / K

t = (( 8.7 × 10² )²'¹ - ( 1.7 × 10² )²'¹) / 1298.9306

t = ( 1489328.26061158 - 48299.511117) / 1298.9306

t = 1441028.74949458 / 1298.9306

t = 1109.4 min

Therefore, the required time for the specimen is  1109.4 min

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3 years ago
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4.7 If the maximum tensile force in any of the truss members must be limited to 22 kN, and the maximum compressive force must be
ki77a [65]

Answer:

588.55 kg

attached below is a sketch of the members of the truss

Explanation:

Given data:

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First we have have to find the summation of forces in the Y and X direction along Joint C

<u>Summation of forces in the Y direction</u>

∑Fy = 0

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<u>summation of forces in the X direction </u>

∑Fx = 0

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therefore CD = -2W cos30°

hence ; CD = - 1.732W

ignoring the compression on CD. therefore CD = 1.732W C

Next we have to analyze Joint B

summation of forces in the X direction

∑Fx = 0

= - AB + BC cos30° = 0

therefore AB = BC cos30°

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∑Fy = 0

- BD - BC sin30° = 0

therefore BD = -W = W C

Analyzing Joint D

∑Fy = 0

AD sin30° + BD = 0

hence ;AD = 2W T

∑Fx = 0

-DE - ADcos30° + CD = 0

hence DE = -3.464W  =  3.464W C

At Joint E

∑Fy = 0

i.e. AE = 0

from the above analysis The tensile force is greatest on members AD and BC

AD = BC = 2W

from the question the maximum tensile force in any of the truss members = 22KN

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2W = 22KN

2mg = 22000N

m = 22000 / ( 2 * 9.81 )

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from the above analysis the greatest compressive force is found in DE which is the critical part of the Truss hence the maximum mass it can carry is the largest permissible mass which may be supported by the Truss

DE = 3.464 W

from the question the maximum compressive force = 20 KN

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m = 20000 / ( 3.464 * 9.81 )

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3 years ago
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Answer:

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Explanation:

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3 years ago
A charge of 11.748 nC is uniformly distributed along the x-axis from −2 m to 2 m . What is the electric potential (relative to z
svp [43]

Answer:

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Explanation:

given data

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solution

electric potential is express as

electric potential  = \frac{Q}{4\pi \epsilon  _o L} ln(1+\frac{L}{d})   ..............1

electric potential  = \frac{KQ}{L} ln(1+\frac{L}{d})  

put here value

electric potential  = \frac{8.98755\times 10^9\times 11.748\times 10{-9}}{4} ln(1+\frac{4}{3})  

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Answer:

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