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The design of a concrete mix requires 1173 kg/m3 of gravel in dry condition, 582 kg/m3 of sand in dry condition, and 157 kg/m3 of free water. The gravel available at the site has a moisture content of 0.9% and absorption of 1.5%, and the available sand has a moisture content of 1.2 and absorption of 1.5%. What are the masses of gravel, sand, and water per cubic meter that should be used at the job site

Sagot :

nuhulawal20

Answer:

- the weight of the gravel is 1183.56 kg/m³

- the weight of sand is 588.98 kg/m³

- the weight of water is 165.784 kg/m³

Explanation:

 Given the data in the question;

mixture content of the gravel  = 1173 kg/m³

sand content = 582 kg/m³

free water content = 157 kg/m³

moist of gravel = 0.9%

absorption of gravel = 1.5%

moist of sand = 1.2%

absorption of sand = 1.5%

masses of gravel, sand, and water per cubic meter that should be used at the job site ?

To get the weight of moist gravel, we use the following equation;

Weight of moist gravel  = content of gravel × ( 1 + moist of gravel )

we substitute

Weight of moist gravel  = 1173 × ( 1 + 0.9%)

Weight of moist gravel  = 1173 × ( 1 + 0.009)

Weight of moist gravel  = 1173 × 1.009

Weight of moist gravel  = 1183.56 kg/m³

Therefore, the weight of the gravel is 1183.56 kg/m³

To get weight of the sand, we use the following formula;

Weight of sand = sand content × ( 1 + moist of sand )

we substitute

Weight of sand = 582 × ( 1 + 1.2% )

Weight of sand = 582 × ( 1 + 0.012 )

Weight of sand = 582 × 1.012

Weight of sand = 588.98 kg/m³

Therefore, the weight of sand is 588.98 kg/m³

To get the weight of mix water ; we use the following equation;

[tex]Mix-Water_{weight[/tex] = water content - gravel content( moist of gravel - absorption of gravel) - sand content( moist of sand - absorption of sand )

so we substitute

[tex]Mix-Water_{weight[/tex] = 157 - 1173( 0.9% - 1.5%) - 582( 1.2% - 1.5% )

[tex]Mix-Water_{weight[/tex] = 157 - 1173( 0.009 - 0.015) - 582( 0.012 - 0.015 )

[tex]Mix-Water_{weight[/tex] = 157 - 1173( -0.006 ) - 582( -0.003 )

[tex]Mix-Water_{weight[/tex] = 157 + 7.038 + 1.746

[tex]Mix-Water_{weight[/tex] = 165.784 kg/m³

Therefore, the weight of water is 165.784 kg/m³

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