Given the reference system, determine the coordinate of the centroid Ycg of the symmetrical plane figure. For therefore, adopt the value of L = 100 + 10·a + 20·(b + 2·c) {mm}. Consider a minimum precision of 6 digits significant. (a = 7; b=1 ; c=1)  Ycg =

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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Given the reference system, determine the coordinate of the centroid Ycg of the symmetrical plane figure. For therefore, adopt the value of L = 100 + 10·a + 20·(b + 2·c) {mm}. Consider a minimum precision of 6 digits significant. (a = 7; b=1 ; c=1)


 Ycg =

 

0,5-L 0,5-L
6-L
1,5-L
L
3-L -- 3-L
Transcribed Image Text:0,5-L 0,5-L 6-L 1,5-L L 3-L -- 3-L
Question resolution form:
- CG Y coordinate (Yeg) for composite sections Yeg
- Moments of Inertia of Composite Sections
Ix-Σ (+)?-4)
- Moments of inertia (Ix and ly) about the centroid for rectangles and triangles:
Ix = (b-h³)/12
lby=(h-b³)/12
Ix = (b -h)/36
|hy= (h•b³)/36
h/2
CG
h/2
b/2' b/2
b/3 b
h/3
Transcribed Image Text:Question resolution form: - CG Y coordinate (Yeg) for composite sections Yeg - Moments of Inertia of Composite Sections Ix-Σ (+)?-4) - Moments of inertia (Ix and ly) about the centroid for rectangles and triangles: Ix = (b-h³)/12 lby=(h-b³)/12 Ix = (b -h)/36 |hy= (h•b³)/36 h/2 CG h/2 b/2' b/2 b/3 b h/3
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