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In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)
- a)70.6
- b)71.8
Correct answer is between '70.6,71.8'. Can you explain this answer?
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Most Upvoted Answer
In a Marshall sample, the bulk specific gravity of mix and aggregates...
VMA = 0.106 + 0.0426 = 0.1488
VFB = 0.106/0.1488 = 0.712 = 71.2%
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In a Marshall sample, the bulk specific gravity of mix and aggregates...
Calculation:
Given data:
Bulk specific gravity of mix (Gmb) = 2.337
Bulk specific gravity of aggregates (Gsa) = 2.553
Bitumen content = 5% of total weight of mix
Specific gravity of bitumen (Gb) = 1.10
Theoretical maximum specific gravity of mix (Gmm) = 2.441
Step 1: Calculate the bulk specific gravity of the bitumen
The bulk specific gravity of bitumen (Gmbitumen) can be calculated using the following formula:
Gmbitumen = Gb * (1 - (Pb / 100))
where Pb is the percentage of bitumen by total weight of mix.
Given:
Pb = 5%
Gb = 1.10
Substituting the values in the formula, we get:
Gmbitumen = 1.10 * (1 - (5 / 100))
Gmbitumen = 1.10 * (1 - 0.05)
Gmbitumen = 1.10 * 0.95
Gmbitumen = 1.045
Step 2: Calculate the bulk specific gravity of the aggregates and bitumen combined
The bulk specific gravity of the aggregates and bitumen combined (Gm) can be calculated using the following formula:
Gm = ((Gmb * Wb) + (Gsa * Wa)) / (Wb + Wa)
where Wb is the weight of bitumen and Wa is the weight of aggregates.
Given:
Gmb = 2.337
Gsa = 2.553
Substituting the values in the formula, we get:
Gm = ((2.337 * Wb) + (2.553 * Wa)) / (Wb + Wa) ...(1)
Step 3: Calculate the void filled with bitumen (VFB)
The void filled with bitumen (VFB) can be calculated using the following formula:
VFB = (Gmm - Gm) / Gmm * 100
Given:
Gmm = 2.441
Substituting the values in the formula, we get:
VFB = (2.441 - Gm) / 2.441 * 100 ...(2)
Step 4: Solve the equations (1) and (2) to find VFB
Substituting the value of Gm from equation (1) into equation (2), we get:
VFB = (2.441 - ((2.337 * Wb) + (2.553 * Wa)) / (Wb + Wa)) / 2.441 * 100
Since the weight of bitumen (Wb) and weight of aggregates (Wa) are not given, we cannot calculate the exact value of VFB. However, we can calculate the range of VFB by considering the extreme cases.
Case 1: Minimum VFB
Assuming the weight of bitumen (Wb) to be minimum and weight of aggregates (Wa) to be maximum, the value of VFB will be minimum.
Case 2: Maximum VFB
Assuming the weight of bitumen (Wb) to be maximum and weight of aggregates (Wa) to be
Given data:
Bulk specific gravity of mix (Gmb) = 2.337
Bulk specific gravity of aggregates (Gsa) = 2.553
Bitumen content = 5% of total weight of mix
Specific gravity of bitumen (Gb) = 1.10
Theoretical maximum specific gravity of mix (Gmm) = 2.441
Step 1: Calculate the bulk specific gravity of the bitumen
The bulk specific gravity of bitumen (Gmbitumen) can be calculated using the following formula:
Gmbitumen = Gb * (1 - (Pb / 100))
where Pb is the percentage of bitumen by total weight of mix.
Given:
Pb = 5%
Gb = 1.10
Substituting the values in the formula, we get:
Gmbitumen = 1.10 * (1 - (5 / 100))
Gmbitumen = 1.10 * (1 - 0.05)
Gmbitumen = 1.10 * 0.95
Gmbitumen = 1.045
Step 2: Calculate the bulk specific gravity of the aggregates and bitumen combined
The bulk specific gravity of the aggregates and bitumen combined (Gm) can be calculated using the following formula:
Gm = ((Gmb * Wb) + (Gsa * Wa)) / (Wb + Wa)
where Wb is the weight of bitumen and Wa is the weight of aggregates.
Given:
Gmb = 2.337
Gsa = 2.553
Substituting the values in the formula, we get:
Gm = ((2.337 * Wb) + (2.553 * Wa)) / (Wb + Wa) ...(1)
Step 3: Calculate the void filled with bitumen (VFB)
The void filled with bitumen (VFB) can be calculated using the following formula:
VFB = (Gmm - Gm) / Gmm * 100
Given:
Gmm = 2.441
Substituting the values in the formula, we get:
VFB = (2.441 - Gm) / 2.441 * 100 ...(2)
Step 4: Solve the equations (1) and (2) to find VFB
Substituting the value of Gm from equation (1) into equation (2), we get:
VFB = (2.441 - ((2.337 * Wb) + (2.553 * Wa)) / (Wb + Wa)) / 2.441 * 100
Since the weight of bitumen (Wb) and weight of aggregates (Wa) are not given, we cannot calculate the exact value of VFB. However, we can calculate the range of VFB by considering the extreme cases.
Case 1: Minimum VFB
Assuming the weight of bitumen (Wb) to be minimum and weight of aggregates (Wa) to be maximum, the value of VFB will be minimum.
Case 2: Maximum VFB
Assuming the weight of bitumen (Wb) to be maximum and weight of aggregates (Wa) to be
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In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer?
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In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer?.
In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.337 and 2.553 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is _______. (round up to 1 decimal place)a)70.6b)71.8Correct answer is between '70.6,71.8'. Can you explain this answer?.
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