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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 2.63
  • b)
    2.42 and 2.78
  • c)
    2.42 and 2.93
  • d)
    2.64 and 2.78
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
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...
Marshall Method of Mix Design

The Marshall method of mix design is a widely used method for designing asphalt mixes. It involves determining the optimum asphalt content for a given aggregate blend to achieve the desired properties of the mix.

Given Data:
- Coarse aggregate specific gravity: 2.60
- Fine aggregate specific gravity: 2.70
- Fines specific gravity: 2.65
- Bitumen specific gravity: 1.01
- Proportions by weight: 55.0% coarse aggregate, 35.8% fine aggregate, 3.7% fines, and 5.5% bitumen

Theoretical Specific Gravity of the Mix

The theoretical specific gravity of the mix is calculated using the aggregate proportions and their respective specific gravities. The formula for calculating the theoretical specific gravity of the mix is:

Theoretical Specific Gravity = (Wc * Gc + Wf * Gf + Wfi * Gfi + Wb * Gb) / (Wc + Wf + Wfi + Wb)

Where:
- Wc, Wf, Wfi, and Wb are the weights of coarse aggregate, fine aggregate, fines, and bitumen respectively
- Gc, Gf, Gfi, and Gb are the specific gravities of coarse aggregate, fine aggregate, fines, and bitumen respectively

Substituting the given values:

Theoretical Specific Gravity = (0.55 * 2.60 + 0.358 * 2.70 + 0.037 * 2.65 + 0.055 * 1.01) / (0.55 + 0.358 + 0.037 + 0.055)
= (1.43 + 0.96886 + 0.09805 + 0.05605) / 1
= 2.59

Therefore, the theoretical specific gravity of the mix is 2.59.

Effective Specific Gravity of the Aggregates in the Mix

The effective specific gravity of the aggregates in the mix is calculated using the same formula, but excluding the bitumen content. The formula for calculating the effective specific gravity of the aggregates in the mix is:

Effective Specific Gravity = (Wc * Gc + Wf * Gf + Wfi * Gfi) / (Wc + Wf + Wfi)

Substituting the given values:

Effective Specific Gravity = (0.55 * 2.60 + 0.358 * 2.70 + 0.037 * 2.65) / (0.55 + 0.358 + 0.037)
= (1.43 + 0.96886 + 0.09805) / 0.945
= 2.78

Therefore, the effective specific gravity of the aggregates in the mix is 2.78.

Conclusion

The theoretical specific gravity of the mix is 2.59 and the effective specific gravity of the aggregates in the mix is 2.78. Therefore, the correct answer is option 'B' (2.42 and 2.78).
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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 2.63b)2.42 and 2.78c)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 2.63b)2.42 and 2.78c)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 2.63b)2.42 and 2.78c)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 2.63b)2.42 and 2.78c)2.42 and 2.93d)2.64 and 2.78Correct answer is option 'B'. Can you explain this answer?.
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