Slope-Stake Cut and Fill
Cut or fill depth and the catch-point offset for a planar design slope.
Formula and source
cut/fill = existing - design (positive = cut, negative = fill); catch-point offset = offset_at_hinge + ratio * |cut/fill| for the planar approximation, with the slope-ratio convention (H:V) stated.
Slope-stake cut/fill and the catch-point (daylight) offset for a planar design slope per FM 5-233 Construction Surveying and the FHWA construction-survey guidance, by name; first-principles grading geometry.
Audience
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