QUESTION: SHOW THE SOLUTION FOR GETTING THE y and area for the top and bottom flange and the web. NOT THE ȳ . and draw the figure for better understanding. SOLVE THE CIRCLED RED PARTS OF THE IMAGE.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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An unsymmetrical flexural member consists of a ½ x 12 top flange, a ½ x 7 bottom flange, and a 3/8 x 16 web.

ȳ=5.167


c. Compute the plastic section modulus Z with respect to the minor principal 
axis.(already answered)

QUESTION: SHOW THE SOLUTION FOR GETTING THE y and area for the top and bottom flange and the web. NOT THE ȳ . and draw the figure for better understanding. SOLVE THE CIRCLED RED PARTS OF THE IMAGE.

(c) Because of symmetry, x, Xc
Component
top fl
web
bot. fl
Sum
A
3.000
3.000
1.750
7.750
X₁ = x₁ =
12.34
ΣΑΧ
ΣΑ
7.750
Zy = 4(x₁+x₁) = 7.750(1.592 +1.592) = 24. 68 in.³
3.000
0.09380
1.750
= 1.592
Ay
9.000
0.2814
3.0625
12.34
Zy = 24.7 in.³
Transcribed Image Text:(c) Because of symmetry, x, Xc Component top fl web bot. fl Sum A 3.000 3.000 1.750 7.750 X₁ = x₁ = 12.34 ΣΑΧ ΣΑ 7.750 Zy = 4(x₁+x₁) = 7.750(1.592 +1.592) = 24. 68 in.³ 3.000 0.09380 1.750 = 1.592 Ay 9.000 0.2814 3.0625 12.34 Zy = 24.7 in.³
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