Reduced levels along a road between chainages 5 and 9 are spaced 30 m apart. Given a uniform up-gradient of 120 to 1, what is the chainage where neither cutting nor filling occurs__________________?
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Answer: B. (6 + 12) chains
Explanation
Applying the uniform gradient and level differences along road chainages locates the zero cut-fill point. Calculations yield the exact location of zero cutting and filling at six chains plus twelve links. Determining the neutral point where cutting transitions to filling is essential for balancing earthwork volumes. Roadway longitudinal profiles feature grades where excavation cuttings transition directly into embankment fillings. Chainage measurements record linear distances along road alignments in standard surveyor chain units. Interpolating reduced levels between survey stations allows engineers to pinpoint grade intersection locations.
Highway design engineers calculate neutral points to optimize earth haul distances during grading operations. Accurate balance point location minimizes heavy machinery fuel consumption and earthmoving operational costs. Understanding chainage calculations ensures earthwork plans align correctly with topographic survey data. Six chains plus fifteen links represents an incorrect interpolation of the zero cut-fill chainage point. Six chains plus eighteen links overshoots the true mathematical neutral grade transition location. Selecting none of these is incorrect because a specific calculated chainage option provides the right answer.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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