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Buoyant Force

In a Marshall...

Question

In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.424 and 2.644 respectively. The sample includes 7% of bitumen (by total weight of mix) having specific gravity of 1.10. The theoretical maximum specific gravity of mix is 2.563. The void filled with bitumen (VFB) in the marshall sample (in %) is __________
74

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Solution

The correct option is A 74
$V_{v} = \frac{G_{t} - G_{m}}{G_{t}} \times 100$
$= \frac{2.563 - 2.424}{2.563} \times 100$
$= 5.42 %$
$V_{b} = G_{m} \times \frac{W_{b} (%)}{G_{b}}$
$= 2.424 \times \frac{7}{1.1}$
$= 15.43 %$
$V M A = V_{b} + V_{v}$
$= 15.43 + 5.42 = 20.85 %$
$∴ V F B = \frac{V_{b} (%)}{V M A (%)} \times 100$
$= \frac{15.43}{20.85} \times 100 = 74 %$

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