Find the centroid point of the area below given that a = 12 in. a a Solution: • The composite area can be divided into 3 basic shapes, called rectangular, triangle and semi-circle; Triangle Component Dimensions_(in) A, (in²) Rectangular = Semicircle h = b= a h= 2a r= ΣΑ = , in y, in XA, in ³ Σ = A, in3 Σ=

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Component Dimensions_(in) A, (in²)
Rectangular =
Triangle
Semicircle
1. Qx =
2. Qy =
h =
Hence:
• First moments of the area:
1. X =
b =
2. y =
h =
r=
Location of centroid:
in³;
in³;
in;
in.
ΣΑ =
x, in
y, in
A, in ³
Σ =
ỹA, in³
Σ =
Transcribed Image Text:Component Dimensions_(in) A, (in²) Rectangular = Triangle Semicircle 1. Qx = 2. Qy = h = Hence: • First moments of the area: 1. X = b = 2. y = h = r= Location of centroid: in³; in³; in; in. ΣΑ = x, in y, in A, in ³ Σ = ỹA, in³ Σ =
Find the centroid point of the area below given that a = 12 in.
a
a
Triangle
Solution:
• The composite area can be divided into 3 basic shapes, called rectangular, triangle and semi-circle;
Semicircle
Component Dimensions_(in) A, (in²) x, in
Rectangular =
h =
b =
a
h =
r =
2a
;
x
ΣΑ =
y, in
XA, in 3
Σ =
A, in3
Σ=
Transcribed Image Text:Find the centroid point of the area below given that a = 12 in. a a Triangle Solution: • The composite area can be divided into 3 basic shapes, called rectangular, triangle and semi-circle; Semicircle Component Dimensions_(in) A, (in²) x, in Rectangular = h = b = a h = r = 2a ; x ΣΑ = y, in XA, in 3 Σ = A, in3 Σ=
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