Civil Engineering MCQJE Level Civil Engineering

The 'prismoidal correction' in earthwork volume calculation corrects for:

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Choose the correct answer

A

Measurement of vertical angles

B

Error in end-area formula for curved cross-sections — prismoidal correction = L/12(W1-W2)(d1-d2) for accuracy

C

Correction for curvature and refraction in levelling

D

Correction for magnetic declination

Correct Answer

B. Error in end-area formula for curved cross-sections — prismoidal correction = L/12(W1-W2)(d1-d2) for accuracy

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Prismoidal correction: accounts for the fact that the end-area formula V = L/2(A1+A2) overestimates volume for prismoids (because middle area Am < arithmetic mean of A1 and A2 for concave faces). Prismoidal formula: V = L/6(A1+4Am+A2). Correction Cp = L/12(W1-W2)(d1-d2) where W = top width, d = centre depth. Applied when accuracy needed (large earthworks).

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