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Elina [12.6K]
3 years ago
8

A 10-mm-diameter Brinell hardness indenter produced an indentation 1.55 mm in diameter in a steel alloy when a load of 500 kg wa

s used. Calculate the Brinell hardness (in HB) of this material.
Engineering
1 answer:
artcher [175]3 years ago
4 0

Answer:

HB=131.69      

Explanation:

Given that

Diameter ,    D= 10 mm

Depth of indentation ,d= 1.55 mm

Load ,P =500 kg

Brinell hardness is given as

HB=\dfrac{P}{\pi D(D-\sqrt{D^2-d^2})}

Now by putting the values in the above equation we get

HB=\dfrac{500}{\pi \times 10\times (10-\sqrt{10^2-1.55^2})}

HB=131.69

Therefore the hardness of the material will be 131.69 HB.

   

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A thick aluminum block initially at 26.5°C is subjected to constant heat flux of 4000 W/m2 by an electric resistance heater whos
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Given Information:

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Heat flux = 4000 w/m²

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Required Information:

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Explanation:

The surface temperature of the aluminum block is given by

T_{surface} = T_{initial} + \frac{q}{k} \sqrt{\frac{4\alpha t}{\pi} }

Where q is the heat flux supplied to aluminum block, k is the conductivity of pure aluminum and α is the diffusivity of pure aluminum.

After t = 2112 sec:

T_{surface} = 26.5 + \frac{4000}{237} \sqrt{\frac{4(9.71\times 10^{-5}) (2112)}{\pi} }\\\\T_{surface} = 26.5 + \frac{4000}{237} (0.51098)\\\\T_{surface} = 26.5 + 8.6\\\\T_{surface} = 35.1\\\\

The rise in the surface temperature is

Rise = 35.1 - 26.5 = 8.6 °C

Therefore, the surface temperature of the block will rise by 8.6 °C after 2112 seconds.

After t = 30 mins:

T_{surface} = 26.5 + \frac{4000}{237} \sqrt{\frac{4(9.71\times 10^{-5}) (1800)}{\pi} }\\\\T_{surface} = 26.5 + \frac{4000}{237} (0.4717)\\\\T_{surface} = 26.5 + 7.96\\\\T_{surface} = 34.5\\\\

The rise in the surface temperature is

Rise = 34.5 - 26.5 = 8 °C

Therefore, the surface temperature of the block will rise by 8 °C after 30 minutes.

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