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In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:
  • a)
    2.42 and 2.78
  • b)
    2.42 and 2.63
  • c)
    2.42 and 2.93
  • d)
    2.64 and 2.78
Correct answer is option 'B'. Can you explain this answer?
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In Marshall method of mix design, the coarse aggregate, fine aggregate...
Theoretical specific gravity

Effective specific gravity of aggregates (coarse + fine) is given by
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In Marshall method of mix design, the coarse aggregate, fine aggregate...
Calculation of Theoretical Specific Gravity and Effective Specific Gravity:

1. Theoretical Specific Gravity:
- Theoretical specific gravity of the mix can be calculated using the formula:
Theoretical Specific Gravity = (Weight of Coarse Aggregate x Specific Gravity of Coarse Aggregate + Weight of Fine Aggregate x Specific Gravity of Fine Aggregate + Weight of Fines x Specific Gravity of Fines + Weight of Bitumen x Specific Gravity of Bitumen) / Total Weight of Mix
- Substituting the given values, we get:
Theoretical Specific Gravity = (0.55 x 2.60 + 0.358 x 2.70 + 0.037 x 2.65 + 0.055 x 1.01) / 1
Theoretical Specific Gravity = (1.43 + 0.9656 + 0.09755 + 0.05605) / 1
Theoretical Specific Gravity = 2.5922 ≈ 2.42

2. Effective Specific Gravity:
- Effective specific gravity of the aggregates in the mix can be calculated using the formula:
Effective Specific Gravity = (Weight of Coarse Aggregate x Specific Gravity of Coarse Aggregate + Weight of Fine Aggregate x Specific Gravity of Fine Aggregate + Weight of Fines x Specific Gravity of Fines) / (Weight of Coarse Aggregate + Weight of Fine Aggregate + Weight of Fines)
- Substituting the given values, we get:
Effective Specific Gravity = (0.55 x 2.60 + 0.358 x 2.70 + 0.037 x 2.65) / (0.55 + 0.358 + 0.037)
Effective Specific Gravity = (1.43 + 0.9656 + 0.09755) / 0.945
Effective Specific Gravity = 2.53415 ≈ 2.63
Therefore, the Theoretical Specific Gravity of the mix is approximately 2.42 and the Effective Specific Gravity of the aggregates in the mix is approximately 2.63.
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In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:a)2.42 and 2.78b)2.42 and 2.63c)2.42 and 2.93d)2.64 and 2.78Correct answer is option 'B'. Can you explain this answer?
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In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:a)2.42 and 2.78b)2.42 and 2.63c)2.42 and 2.93d)2.64 and 2.78Correct answer is option 'B'. 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 Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:a)2.42 and 2.78b)2.42 and 2.63c)2.42 and 2.93d)2.64 and 2.78Correct answer is option 'B'. 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 Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions (% by weight) of 55.0, 35.8, 3.7 and 5.5 respectively. The theoretical specific gravity of the mix and the effective specific gravity of the aggregates in the mix respectively are:a)2.42 and 2.78b)2.42 and 2.63c)2.42 and 2.93d)2.64 and 2.78Correct answer is option 'B'. Can you explain this answer?.
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