Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
1.) Total Area AT
2.) Centroid about the x-axis ȳ
3.) Centroid about the y – axis ?̅
4.) Moment of Inertia About the x-axis Ix
note: In locating the centroid of the entire section, Varignon's Theorem. Varignon's Theorem locates the centroid of a composite body.
note: I hope you will use the formulas I will be giving.
Transcribed Image Text:STEP 4:VARIGNON'S THEOREM
6
Right triangle (Origin of axes at centroid)
1
bh
h
Qyr = 2@yn
Arỹr = >
Anyn
2
3
3
|3D
C
B-
n
bl
hb³
1
36
36
72
Qxt
Qxn
AnXn
%3D
%3D
bl
bh
(h² + b³) I,
36
n
n
12
Quarter circle (Origin of axes at center of circle)
πι
A =
4
4r
x = y
В-
B
C
p4
I, = 1, =
I.
16
(9n² – 64)r4
I BB
= 0.05488,4
8
1447
Circle (Origin of axes at center)
d = 2r
nd²
I, =
nd4
A = tr²
4
4
64
C
ndª
I BB
B-
-B
5ar4
5nd4
Ixy
=0 Ip =
%3D
%3D
ху
2
32
4
64
1
|y
Rectangle (Origin of axes at centroid)
A = bh x
y =
2
h
C
bh³
hb3
bh
I
12
I, = 0 Ip
12
(h² + b?)
12
xy
II
Transcribed Image Text:40
30
10
10
D=15
15
30
55
FIG. EMS - PS6 002
40
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