interaction diagram by dr-ing girma z..pdf
TRANSCRIPT
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8/17/2019 Interaction Diagram by Dr-Ing Girma Z..pdf
1/89
Uniaxial Chart No. 1
0.00 0.20 0.40 0.60 0.80 1.00
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.05 νSd = NSd /f cd Ac
As,tot = 2A ω = f yd As,tot / f cd Ac
b
h
h'A
h'A
EBCS 2 - 1995: Part 2 29
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2/89
Uniaxial Chart No. 2
0.00 0.20 0.40 0.60 0.80 1.00
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.10 νSd = NSd /f cd Ac
As,tot = 2A ω = f yd As,tot / f cd Ac
b
h
h'A
h'A
EBCS 2 - 1995: Part 2 30
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Uniaxial Chart No. 3
0.00 0.20 0.40 0.60 0.80 1.00
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.15 νSd = NSd /f cd Ac
As,tot = 2A ω = f yd As,tot / f cd Ac
b
h
h'A
h'A
EBCS 2 - 1995: Part 2 31
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Uniaxial Chart No. 4
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.20 νSd = NSd /f cd Ac
As,tot = 2A ω = f yd As,tot / f cd Ac
b
h
h'A
h'A
EBCS 2 - 1995: Part 2 32
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Uniaxial Chart No. 5
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.25 νSd = NSd /f cd Ac
As,tot = 2A ω = f yd As,tot / f cd Ac
b
h
h'A
h'A
EBCS 2 - 1995: Part 2 33
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Uniaxial Chart No. 6
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.05 νSd = NSd /f cd Ac
As,tot = 4A ω = f yd As,tot / f cd Ac
b
h
h'
h'
A A
A
A
EBCS 2 - 1995: Part 2 34
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Uniaxial Chart No. 7
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.10 νSd = NSd /f cd Ac
As,tot = 4A ω = f yd As,tot / f cd Ac
b
h
h'
h'
A A
A
A
EBCS 2 - 1995: Part 2 35
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Uniaxial Chart No. 8
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.15 νSd = NSd /f cd Ac
As,tot = 4A ω = f yd As,tot / f cd Ac
b
h
h'
h'
A A
A
A
EBCS 2 - 1995: Part 2 36
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Uniaxial Chart No. 9
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.20 νSd = NSd /f cd Ac
As,tot = 4A ω = f yd As,tot / f cd Ac
b
h
h'
h'
A A
A
A
EBCS 2 - 1995: Part 2 37
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Uniaxial Chart No. 10
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.25 νSd = NSd /f cd Ac
As,tot = 4A ω = f yd As,tot / f cd Ac
b
h
h'
h'
A A
A
A
EBCS 2 - 1995: Part 2 38
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Uniaxial Chart No. 11
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.05 νSd = NSd /f cd Ac
As,tot = A ω = f yd As,tot / f cd Ac
h'
h
A
EBCS 2-1995 : Part 2 39
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Uniaxial Chart No. 12
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω
= 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.10 νSd = NSd /f cd Ac
As,tot = A ω = f yd As,tot / f cd Ac
h'
h
A
EBCS 2-1995 : Part 2 40
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Uniaxial Chart No. 13
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω =
2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.15 νSd = NSd /f cd Ac
As,tot = A ω = f yd As,tot / f cd Ac
h'
h
A
EBCS 2 - 1995 : Part 2 41
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Uniaxial Chart No. 14
0.00 0.20 0.40
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.20 νSd = NSd /f cd Ac
As,tot = A ω = f yd As,tot / f cd Ac
h'
h
A
EBCS 2-1995 : Part 2 42
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Uniaxial Chart No. 15
0.00 0.20 0.40
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
h'/h = 0.25 νSd = NSd /f cd Ac
As,tot = A ω = f yd As,tot / f cd Ac
h'
h
A
EBCS 2-1995 : Part 2 43
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Uniaxial Chart No. 16
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.5 νSd = NSd /f cd Ac
d'/(r –r i) = 0.2 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 44
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Uniaxial Chart No. 17
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.5 νSd = NSd /f cd Ac
d'/(r –r i) = 0.3 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 45
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Uniaxial Chart No. 18
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.5 νSd = NSd /f cd Ac
d'/(r –r i) = 0.4 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 46
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19/89
Uniaxial Chart No. 19
0.00 0.20 0.40 0.60
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.5 νSd = NSd /f cd Ac
d'/(r –r i) = 0.5 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 47
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20/89
Uniaxial Chart No. 20
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.7 νSd = NSd /f cd Ac
d'/(r –r i) = 0.2 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 48
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21/89
Uniaxial Chart No. 21
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.7 νSd = NSd /f cd Ac
d'/(r –r i) = 0.3 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 49
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22/89
Uniaxial Chart No. 22
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.7 νSd = NSd /f cd Ac
d'/(r –r i) = 0.4 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 50
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Uniaxial Chart No. 23
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.7 νSd = NSd /f cd Ac
d'/(r –r i) = 0.5 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 51
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24/89
Uniaxial Chart No. 24
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.9 νSd = NSd /f cd Ac
d'/(r –r i) = 0.2 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 52
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25/89
Uniaxial Chart No. 25
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.9 νSd = NSd /f cd Ac
d'/(r –r i) = 0.3 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 53
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26/89
Uniaxial Chart No. 26
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.9 νSd = NSd /f cd Ac
d'/(r –r i) = 0.4 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 54
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27/89
Uniaxial Chart No. 27
0.00 0.20 0.40 0.60 0.80
-2.00
-1.50
-1.00
-0.50
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 .0
0 .5
1 .0
1 .5
ω = 2 .0
µSd
νSd
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
εyd = 0.002 µSd = MSd /f cd Ach
r i/r = 0.9 νSd = NSd /f cd Ac
d'/(r –r i) = 0.5 As, tot = A
Ac = 0.75Πr 2 ω = f yd As, tot / f cd Ac
d'
r
ri
A
EBCS 2 - 1995: Part 2 55
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Biaxial Chart No. 1
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA
AA
MSd z
MSd y h
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµSd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
EBCS 2 - 1995: Part 2 56
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30/89
Biaxial Chart No. 3
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA
AA
MSd z
MSd y h
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 4
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA
AA
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0. 4
0. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 5
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd
AA
AA
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2
. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 6
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA
AA
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µ Sd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 7
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd
AA
AA
MSd y h
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 8
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd
AA
AA
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω =
2 .0
1 .5
1 .0
0 .5
0 .3
0. 4
0. 5
1. 0
1. 5
ω = 2.
0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 9
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd
AA A
A AA
MSd y h
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 10
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µSd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 11
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 12
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0.
4 0. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1
.5
ω = 2 .0
0. 6
1. 0
1
. 5
ω = 2. 0
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Biaxial Chart No. 13
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω
= 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2
. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 14
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µSd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 15
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 16
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 6A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
AA A
A AA
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0.
4 0. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1
. 5
ω = 2. 0
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Biaxial Chart No. 17
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 18
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µSd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1
. 0
0. 5
0. 0
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Biaxial Chart No. 19
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω
= 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 20
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0. 4
0. 5
1. 0
1. 5
ω
= 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 21
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 22
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µSd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 23
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd hA A
AA A
A AA
MSd z
MSd y
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 24
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 8A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd hA A
AA A
A AA
MSd y
-0.50 -0.30 -0.10 0.10 0.30 0.50-0.50
-0.30
-0.10
0.10
0.30
0.50
-0.50 -0.30 -0.10 0.10 0.30 0.50
-0.50
-0.30
-0.10
0.10
0.30
0.50µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0. 4
0. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 25
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2
. 0 1
. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 26
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µ Sd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 27
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2
. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 28
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
0. 4
0. 5
1. 0
1. 5
ω = 2
. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 29
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
MSd z
NSd
A
A
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2
. 0
0. 0
ω = 2
. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 30
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µ Sd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2
. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 31
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2
. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 32
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 2A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
0. 4 0
. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 33
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω = 2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 34
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µSd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 35
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
-0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 36
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.10 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0. 4
0. 5
1. 0
1. 5
ω = 2. 0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 37
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
ν = 0.0Sdν = 0.1Sd
ν = 0.2Sd
ν = 0.3Sd
µSd zµ
Sd z
µSd y
µSd y
µµ Sd zSd z
µ
µ
Sd y
Sd y
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
1. 5
1. 0
0. 5
0. 0
ω =
2. 0
0. 0
ω = 2. 0
1. 5
1. 0
0. 5
0 .0
ω = 2 .0
1 .5
1 .0
0 .5
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Biaxial Chart No. 38
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
µ
µ
Sd y
Sd y
µSd y
µSd y
µSd z
µ Sd z
µ Sd z µ Sd z
ν = 0.4ν = 0.5
ν = 0.6 ν = 0.7
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2.
0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 39
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
-0.60 -0.40 -0.20 0.00 0.20 0.40 0.60
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µµSd z Sd z
ν = 0.8ν = 0.9
ν = 1.0 ν = 1.1SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
ω = 2 .0
1 .5
1 .0
0 .5
0 .1
ω = 2. 0
1. 5
1. 0
0. 5
0. 2
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Biaxial Chart No. 40
εyd = 0.002 µSd y = µSd y / Ac h f cd
h'/h = b'/b = 0.20 µSd z = µSd z / Ac b f cd
As,tot = 4A νSd = NSd / Ac f cd
Ac = bh ω = As,tot f yd / Ac f cd
b
b' b'
h'
h'
NSd
A
A
A
A
MSd z
MSd y h
-0.50 -0.30 -0.10 0.10 0.30 0.50
-0.50
-0.30
-0.10
0.10
0.30
0.50
-0.50 -0.30 -0.10 0.10 0.30 0.50
-0.50
-0.30
-0.10
0.10
0.30
0.50µ µSd z Sd z
µ µSd z Sd z
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
ν = 1.2ν = 1.3
ν = 1.4 ν = 1.5
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .3 0.
4 0. 5
1. 0
1. 5
ω = 2.
0
0 .5
1 .0
1 .5
ω = 2 .0
0. 6
1. 0
1. 5
ω = 2. 0
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Biaxial Chart No. 41
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.05 b νSd = NSd / Ac f cd wh = 0.05 h As,tot = 4A
Ac = 0.19 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.0
ν = 0.2
ν = 0.4 ν = 0.6
Sd
Sd
Sd Sd
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
0. 0
0. 5
1. 0
ω = 2. 0
1. 5
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 42
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.05b νSd = NSd / Ac f cd wh = 0.05 h As,tot = 4A
Ac = 0.19 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.8ν = 1.0
ν = 1.2 ν = 1.4
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 1
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
ω = 2. 0
1. 5
1. 0
0. 5
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Biaxial Chart No. 43
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.10 b νSd = NSd / Ac f cd wh = 0.10 h As,tot = 4A
Ac = 0.36 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.0
ν = 0.2
ν = 0.4 ν = 0.6
Sd
Sd
Sd Sd
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
0. 0
0. 5
1. 0
ω = 2. 0
1. 5
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 44
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.10 b νSd = NSd / Ac f cd wh = 0.10 h As,tot = 4A
Ac = 0.36 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
-0.90 -0.70 -0.50 -0.30 -0.10 0.10 0.30 0.50 0.70 0.90
-0.90
-0.70
-0.50
-0.30
-0.10
0.10
0.30
0.50
0.70
0.90
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.8ν = 1.0
ν = 1.2 ν = 1.4
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 1
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
ω = 2. 0
1. 5
1. 0
0. 5
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Biaxial Chart No. 45
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.20 b νSd = NSd / Ac f cd wh = 0.20 h As,tot = 4A
Ac = 0.64 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.0
ν = 0.2
ν = 0.4 ν = 0.6
Sd
Sd
Sd Sd
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
0. 0
0. 5
1. 0
ω = 2. 0
1
. 5
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No. 46
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 1.0 µSdy = MSdz / Ac b f cd
w b = 0.20 b νSd = NSd / Ac f cd wh = 0.20 h As,tot = 4A
Ac = 0.64 b h ω = As,tot f yd / Ac f cd
w b/2
wh/2
w bw b
wh
wh
MSd z
b
NSd A
A
A
A
hMSd y
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
-0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.8ν = 1.0
ν = 1.2 ν = 1.4
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 1
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
ω = 2.
0
1. 5
1. 0
0. 5
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Biaxial Chart No. 47
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 2.0 µSdz = MSdz / Ac b f cd
w b = 0.025 b νSd = NSd / Ac f cd wh = 0.05 h As,tot = 6A
Ac = 0.145 b h ω = As,tot f yd / Ac f cd
w b w b
wh
wh
wh/2
w b/2
MSd z
b
h NSd
2A
2A
A AMSd y
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.0
ν = 0.2
ν = 0.4 ν = 0.6
Sd
Sd
Sd Sd
0 .1
0 .5
1 .0
1 .5
ω = 2 .0
0. 0
0. 5
1. 0
ω = 2. 0
1. 5
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 0
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Biaxial Chart No.48
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 2.0 µSdz = MSdz / Ac b f cd
w b = 0.025 b νSd = NSd / Ac f cd wh = 0.05 h As,tot = 6A
Ac = 0.145 b h ω = As,tot f yd / Ac f cd
w b w b
wh
wh
wh/2
w b/2
MSd z
b
h NSd
2A
2A
A AMSd
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
µ
µ
Sd y
Sd y
µ
µ
Sd y
Sd y
µ µSd z Sd z
µ µSd z Sd z
ν = 0.8ν = 1.0
ν = 1.2 ν = 1.4
SdSd
Sd Sd
ω = 2 .0
1 .5
1 .0
0 .5
0 .0
ω = 2. 0
1. 5
1. 0
0. 5
0. 1
ω = 2 .0
1 .5
1 .0
0 .5
0 .3
ω = 2. 0
1. 5
1. 0
0. 5
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Biaxial Chart No. 49
εyd = 0.002 µSdy = MSdy / Ac h f cd
b/h = 2.0 µSdz = MSdz / Ac b f cd
w b = 0.05 b νSd = NSd / Ac f cd wh = 0.10 h As,tot = 6A
Ac = 0.28 b h ω = As,tot f yd / Ac f cd
w b w b
wh
wh
wh/2
w b/2
MSd z
b
h NSd
2A
2A
A AMSd
-1.00 -0.80 -0.60 -0.40 -0.20 0.00 0.20 0.40 0.60 0.80 1.00
-1.00
-0.80
-0.60
-0.40
-0.20
0.00
0.20
0.40
0.60
0.80
1.00
-1.00 -0.80 -0.60 -0.40 -0.2