If d is the distance between equidistant odd ordinates, the Simpson's rule for the areas, is d/2[h1 + hn x 2(h2 + h4 + ... + hn-1) + 4(h3 O + h5 + ... + hn-2)] [h1 + hn + 2(h3 + h5 + ... + hn-2) + 4(h2 + h4ppp + ... + hn - 1)] d/6 [h1 + hn + 2(h3 + h5+ ... + hn-2) + 4(h2 + h4 + + hn - 1)] *** d/3[h1 + hn + 2(h3 + h5 + ... + hn-2) + 4(h2 + h4 + ... + hn- 1)] O O

If d is the distance between equidistant odd ordinates, the Simpson's rule for the areas, is d/2[h1 + hn x 2(h2 + h4 + ... + hn-1) + 4(h3 O + h5 + ... + hn-2)] [h1 + hn + 2(h3 + h5 + ... + hn-2) + 4(h2 + h4ppp + ... + hn - 1)] d/6 [h1 + hn + 2(h3 + h5+ ... + hn-2) + 4(h2 + h4 + + hn - 1)] *** d/3[h1 + hn + 2(h3 + h5 + ... + hn-2) + 4(h2 + h4 + ... + hn- 1)] O O

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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