QUESTION 10 A cutting is to be formed on a straight section of a proposed road. The values of eight consecutive cross sectional areas taken at a constant horizontal distance interval of 20m are 325m², 398m², 456m², 580m², 634m², 546m², 447m² and 362m² respectively. Calculate the volume contained between the first and last cross section using : a. End areas method b. Prismoidal formula

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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QUESTION 10
A cutting is to be formed on a straight section of a proposed road. The values of eight
consecutive cross sectional areas taken at a constant horizontal distance interval of 20m are
325m², 398m², 456m², 580m², 634m², 546m², 447m² and 362m² respectively. Calculate the
volume contained between the first and last cross section using :
a. End areas method
b. Prismoidal formula
Transcribed Image Text:QUESTION 10 A cutting is to be formed on a straight section of a proposed road. The values of eight consecutive cross sectional areas taken at a constant horizontal distance interval of 20m are 325m², 398m², 456m², 580m², 634m², 546m², 447m² and 362m² respectively. Calculate the volume contained between the first and last cross section using : a. End areas method b. Prismoidal formula
Expert Solution
Step 1

Given

Constant horizontal distance interval, L = 20 m

Areas,

A1 = 325m2,

A2 = 398m²,

A3 = 456m²,

A4 = 580m²,

A5 = 634m2,

A6 = 546m2,

A7 = 447m2 and

A8 = 362m²

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