Section 4: Soil and Water Conservation Engineering
Soil and Water Erosion
Subtopic: Gully control structures – drop, drop inlet and chute spillways
Question Statement:
A stable drop structure has base length 5.7 m. ΣVertical forces (excl. uplift) = 92.5 kN; Σuplift = 72.5 kN; Σmoments about the mid-section axis = 60 kN·m. Find the eccentricity of the resultant vertical force from the centroid of the base (m). (Rounded to 2 decimal places)
Official Answer Key:
0.10 to 0.20
Step-by-Step Solution & Explanation
Net resultant vertical force ΣV = 92.5 − 72.5 = 20.0 kN. The distance of the resultant from the reference edge = ΣM/ΣV = 60/20 = 3.00 m. Eccentricity from the centroid = |B/2 − 3.00| = |2.85 − 3.00| = 0.15 m.
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