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In an aggregate mix, the proportions of coarse aggregate, fine aggregate and mineral filler are 55%, 40% and 5% respectively. The values of bulk specific gravity of the coarse aggregate, fine aggregate and mineral filler are 2.55, 2.65 and 2.70, respectively. The bulk specific gravity of the aggregate mix (round off to two decimal places) is _______.
Correct answer is between '2.4,2.7'. Can you explain this answer?
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In an aggregate mix, the proportions of coarse aggregate, fine aggrega...
Given Information:
- Proportions of coarse aggregate, fine aggregate, and mineral filler in the aggregate mix are 55%, 40%, and 5% respectively.
- Bulk specific gravity of the coarse aggregate, fine aggregate, and mineral filler are 2.55, 2.65, and 2.70 respectively.
To Find:
Bulk specific gravity of the aggregate mix.
Solution:
The bulk specific gravity of the aggregate mix can be calculated by taking the weighted average of the specific gravity of each component in the mix.
Step 1: Calculate the weighted specific gravity of each component:
- Weighted specific gravity of coarse aggregate = (Proportion of coarse aggregate * Specific gravity of coarse aggregate) = (55% * 2.55) = 1.4025
- Weighted specific gravity of fine aggregate = (Proportion of fine aggregate * Specific gravity of fine aggregate) = (40% * 2.65) = 1.06
- Weighted specific gravity of mineral filler = (Proportion of mineral filler * Specific gravity of mineral filler) = (5% * 2.70) = 0.135
Step 2: Calculate the total weighted specific gravity:
Total weighted specific gravity = Weighted specific gravity of coarse aggregate + Weighted specific gravity of fine aggregate + Weighted specific gravity of mineral filler
= 1.4025 + 1.06 + 0.135
= 2.5975
Step 3: Round off the total weighted specific gravity to two decimal places:
Bulk specific gravity of the aggregate mix = 2.60 (rounded off to two decimal places)
Answer:
The bulk specific gravity of the aggregate mix is 2.60 (rounded off to two decimal places).
Explanation:
- The bulk specific gravity of an aggregate mix is the weighted average of the specific gravity of each component in the mix.
- In this case, the proportions of coarse aggregate, fine aggregate, and mineral filler in the mix are given as 55%, 40%, and 5% respectively.
- The specific gravity of coarse aggregate, fine aggregate, and mineral filler are given as 2.55, 2.65, and 2.70 respectively.
- By calculating the weighted specific gravity of each component and taking their sum, we can find the bulk specific gravity of the aggregate mix.
- The calculated bulk specific gravity of the aggregate mix is 2.60, which falls within the range of 2.4 to 2.7 as specified in the question.
- Proportions of coarse aggregate, fine aggregate, and mineral filler in the aggregate mix are 55%, 40%, and 5% respectively.
- Bulk specific gravity of the coarse aggregate, fine aggregate, and mineral filler are 2.55, 2.65, and 2.70 respectively.
To Find:
Bulk specific gravity of the aggregate mix.
Solution:
The bulk specific gravity of the aggregate mix can be calculated by taking the weighted average of the specific gravity of each component in the mix.
Step 1: Calculate the weighted specific gravity of each component:
- Weighted specific gravity of coarse aggregate = (Proportion of coarse aggregate * Specific gravity of coarse aggregate) = (55% * 2.55) = 1.4025
- Weighted specific gravity of fine aggregate = (Proportion of fine aggregate * Specific gravity of fine aggregate) = (40% * 2.65) = 1.06
- Weighted specific gravity of mineral filler = (Proportion of mineral filler * Specific gravity of mineral filler) = (5% * 2.70) = 0.135
Step 2: Calculate the total weighted specific gravity:
Total weighted specific gravity = Weighted specific gravity of coarse aggregate + Weighted specific gravity of fine aggregate + Weighted specific gravity of mineral filler
= 1.4025 + 1.06 + 0.135
= 2.5975
Step 3: Round off the total weighted specific gravity to two decimal places:
Bulk specific gravity of the aggregate mix = 2.60 (rounded off to two decimal places)
Answer:
The bulk specific gravity of the aggregate mix is 2.60 (rounded off to two decimal places).
Explanation:
- The bulk specific gravity of an aggregate mix is the weighted average of the specific gravity of each component in the mix.
- In this case, the proportions of coarse aggregate, fine aggregate, and mineral filler in the mix are given as 55%, 40%, and 5% respectively.
- The specific gravity of coarse aggregate, fine aggregate, and mineral filler are given as 2.55, 2.65, and 2.70 respectively.
- By calculating the weighted specific gravity of each component and taking their sum, we can find the bulk specific gravity of the aggregate mix.
- The calculated bulk specific gravity of the aggregate mix is 2.60, which falls within the range of 2.4 to 2.7 as specified in the question.
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Community Answer
In an aggregate mix, the proportions of coarse aggregate, fine aggrega...
Given :
Weight of coarse aggregate
W1 = 55 % Weight of fine aggregate
W2 = 40 %
Weight of filler, W3 = 5%
Bulk specific gravity of CA G1 = 2.55
Bulk specific gravity of fine aggregate G2 = 2.65
Bulk specific gravity of filler = 2.7
Bulk specific gravity of mix,
Weight of coarse aggregate
W1 = 55 % Weight of fine aggregate
W2 = 40 %
Weight of filler, W3 = 5%
Bulk specific gravity of CA G1 = 2.55
Bulk specific gravity of fine aggregate G2 = 2.65
Bulk specific gravity of filler = 2.7
Bulk specific gravity of mix,
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In an aggregate mix, the proportions of coarse aggregate, fine aggregate and mineral filler are 55%, 40% and 5% respectively. The values of bulk specific gravity of the coarse aggregate, fine aggregate and mineral filler are 2.55, 2.65 and 2.70, respectively. The bulk specific gravity of the aggregate mix (round off to two decimal places) is _______.Correct answer is between '2.4,2.7'. Can you explain this answer?
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