Why k2=k4 is zero here? Please explain

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Why k2=k4 is zero here? Please explain

Civil engineering- steel Design

 

Zp=A₁ XK₁ + A₂ X K₂ + A 3 X K 3 + A 4XKA
2
where A₁
= area of section 1
A2 = area of section 2
A3 = area of section 3
A₁ = area of section 4
K₁ = distance of C.G of section 1 about C.G of overall crossection
k₂ = distance of C.G of section2 about C.G of overall crossection
K3
= distance of C.G of section3 about C.G of overall crossection
K4k = distance of C.G of section4 about C.G of overall crossection
due to symmetry A₁ = A3 = 1800mm²,
A₂ = A4 = 2600mm²,
K₁=k3 = 125mm
K₂= k₁=0
thus z = 2XA₁ XK₁ + 2X A ₂ X K₂
Zp=2×1800x125+2×2600×0
Zp = 450 × 10³mm³
Transcribed Image Text:Zp=A₁ XK₁ + A₂ X K₂ + A 3 X K 3 + A 4XKA 2 where A₁ = area of section 1 A2 = area of section 2 A3 = area of section 3 A₁ = area of section 4 K₁ = distance of C.G of section 1 about C.G of overall crossection k₂ = distance of C.G of section2 about C.G of overall crossection K3 = distance of C.G of section3 about C.G of overall crossection K4k = distance of C.G of section4 about C.G of overall crossection due to symmetry A₁ = A3 = 1800mm², A₂ = A4 = 2600mm², K₁=k3 = 125mm K₂= k₁=0 thus z = 2XA₁ XK₁ + 2X A ₂ X K₂ Zp=2×1800x125+2×2600×0 Zp = 450 × 10³mm³
for calculating plastic sectional modulus equal area axis(EAA) has to be determined and the
moment area of this area about EAA is the plastic sectional modulus.
As the section given is symmetric, EAA lies in the same line as C.G
260mm
N
180mm
1
3
4
10mm
EAA
Transcribed Image Text:for calculating plastic sectional modulus equal area axis(EAA) has to be determined and the moment area of this area about EAA is the plastic sectional modulus. As the section given is symmetric, EAA lies in the same line as C.G 260mm N 180mm 1 3 4 10mm EAA
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