Question

Problem 5: Approximate the general spandrel shown using a series of n rec- tangles, each of width Δα and of the form bach', and then use computational software to calculate the coordinates of the centroid of the area. Locate the centroid when (a) m1=2, a-4 in., h-4 in.; (b) m = 2, a = 4 in, h 25 in.; (c) m 5,a 4 in., h-4in.; (d) m-5, a-4 in., h-25 in. In each case compare the answers obtained to the exact values of and y computed from the formulas given in Fig. 5.8A and determine the percentage error

Answer 1

SoLutloo gen data a 100 mm,mm 635 m m h: a: 102mm, 635mm a: 02mm, h ve Knoa tha 2+1 lo/21 2t2 102 3 1003 76.5 30.6

(b maommh- 635mm amt mt 2 ymt2 635 2t2 t 2 10) 6333 r0 190.5 () m5a loamm + I 02 /6 g구.ya 86 h 63,s a0t 5+2 , 63,企 ะเ02(6) : 87-4a86 87.4886 / 173-1818 327 . 8572 4.

pes centage esoov 9 x10 一ヲ 3a 8572 11OO 0.1구6구 K100