Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Q4. Table Q4 lists the areas of cross-sections at 20m apart of a road improvement project. Calculate the volume of the earthwork using the End Areas and Prismoidal methods. Table Q4 Chainage (m) Cross-sectional area (A) (m³) 116.4 2120 2140 162.8 2160 130.4 2180 113 2200 173.5 2220 190.3 2240 299.8 2260 127.4 2280 275-3 2300 155.3 2320 2340 288.3 2360 2380 130.9 179.2 2400 233-7 2420 116.1 ANSWERS (Q4) All units are in metres End-Areas Prismoidal n-1 n-1 n-1 Cross-sectional E (A) (V subtotal)" A, +2(p)+A 9 E (A) j=2,4,6,8 E (A) j=3,5,7 (V subtotal) Chainage Area j=2 A1 +4(q)+2(r)+A 9 (A) (p) (q) (r) Σ Σ (V total)" =½ (L) (V subtotal) a (V total)° =% (L)(V subtotal Grand Total (V) = (V total)" + (V 1otal)
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Transcribed Image Text:Q4. Table Q4 lists the areas of cross-sections at 20m apart of a road improvement project. Calculate the volume of the earthwork using the End Areas and Prismoidal methods. Table Q4 Chainage (m) Cross-sectional area (A) (m³) 116.4 2120 2140 162.8 2160 130.4 2180 113 2200 173.5 2220 190.3 2240 299.8 2260 127.4 2280 275-3 2300 155.3 2320 2340 288.3 2360 2380 130.9 179.2 2400 233-7 2420 116.1 ANSWERS (Q4) All units are in metres End-Areas Prismoidal n-1 n-1 n-1 Cross-sectional E (A) (V subtotal)" A, +2(p)+A 9 E (A) j=2,4,6,8 E (A) j=3,5,7 (V subtotal) Chainage Area j=2 A1 +4(q)+2(r)+A 9 (A) (p) (q) (r) Σ Σ (V total)" =½ (L) (V subtotal) a (V total)° =% (L)(V subtotal Grand Total (V) = (V total)" + (V 1otal)
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