Find x cordinate and y cordinate of centroid (In cm) For the shape below, calculate:yaaCOLLAPSE IMAGESa = 80 cmb = 80 cmC = 110 cm

For bigger Rectangle : Area (A1)=c×2×a=110×2×80=17600 cm2X1¯=-c2=-1102=-55 cmY1¯=2×a2=2×802=80 cm…

Answered: For the shape below, calculate: y a…

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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Question

Find x cordinate and y cordinate of centroid (In cm)

For the shape below, calculate:
y
a
a
COLLAPSE IMAGES
a = 80 cm
b = 80 cm
C = 110 cm

Expert Solution

Step 1

For bigger Rectangle :

$A r e a (A_{1}) = c \times 2 \times a = 110 \times 2 \times 80 = 17600 c m^{2} \bar{X_{1}} = - \frac{c}{2} = - \frac{110}{2} = - 55 c m \bar{Y_{1}} = \frac{2 \times a}{2} = \frac{2 \times 80}{2} = 80 c m$

For right angled triangle :

$A r e a (A_{2}) = \frac{1}{2} \times b \times a = \frac{1}{2} \times 80 \times 80 = 3200 c m^{2} \bar{X_{2}} = \frac{b}{3} = \frac{80}{3} = 26.6667 c m \bar{Y_{2}} = a + \frac{a}{3} = 80 + \frac{80}{3} = 106.6667 c m$