Question

The centre line of a proposed road of formation width 12.00 m is to fall at...

The centre line of a proposed road of formation width 12.00 m is to fall at a slope of 1 in 100 from chainage 50m to chainage 150 m. The existing ground levels on the centre line at chainages 50 m, 100 m and 150 m are 71.62 m, 72.34 m and 69.31 m respectively and the ground slopes at 1 in 3 at right angles to the proposed centre line. If the centre line formation level at chainage 50 m is 71.22 m and side slopes are to be 1 in 1 in cut and 1 in 2 in fill, calculate the volumes of cut and fill between chainages 50 m and 150 m using the prismoidal formula. Hint: Calculate cut and fill areas for a general section and then apply those equations for each section.

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