ec8 design example

7/28/2019 Ec8 Design Example

1/35

2 M:

XC2 ( 1992-1-1, . 4.1)

S4

(sec) = 0.47

B

c (sec) = 0.50

q0 = 2.00 (1998-1, .5.1)

BY12

bw (m) = 0.25

hw (m) = 0.50

hf(m) = 0.15

L(m) = 3.00

L : () /

fck (MPa) = 20.00 ()

fyk (MPa) = 500.00

acc = 0.85 . . .

c = 1.50 ...

s = 1.15 ...

Es (MPa) = 200000.00 y-y

-573.64 =E,T2Ytop

(kN) E,C8-2top

(kN) = -382.16 z-z

70.28 = MET2Y,ztop

(kNm) MEC8-2,ytop

(kNm) = 51.10

226.53 = MET2Y,ytop

(kNm) MEC8-2,ztop

(kNm) = 30.70

BY12 -

-

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

12

5/270

151

152

153

154

155

156

157

158

159

22

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1

Y300/25

T2

Y300/25

-632.71 = E,C8-2bot

(kN) E,C8-2bot

(kN) = -392.16 MEBX10j-(kNm)

71.82 = MET2Y,zbot

(kNm) MEC8-2,zbot

(kNm) = 34.84 -70.25

15.54 = MET2Y,ybot

(kNm) MEC8-2,ybot

(kNm) = 56.54

MEBY12i-(kNm) MEBY12mid

-(kNm) MEBY12j

-(kNm)

-119.23 -3.73 -84.59

86.56 18.97 75.79 40.40

MEBY12i+

(kNm) MEBY12mid+

(kNm) MEBY12m+

(kNm) MEBX10j+(kNm)

-781.94 = ET2Y-1bot

(kN) EC8-1top

(kN) = -524.99

132.28 = MET2Y-1,ybot

(kNm) MEC8-1,ytop

(kNm) = 27.20

51.40 = MET2y-1,zbot

(kNm) MEC8-1,ztop

(kNm) = 15.19

895.33 = MET2Y-1,ybot

(kNm) MEC8-1,ybot

(kNm) = 27.09

61.76 = MET2y-1,z

bot(kNm) M

EC8-1,z

bot(kNm) = 13.27 Y

-870.53 = ET2Y-1bot

(kN) EC8-1bot

(kN) = -541.99 X

BY12 (25/50)

(40/40)

C8-1(40/40)

T2Y(300/25)

56


2/35

/

C8-1 & C8-2

bc (m) = 0.40 z-z

hc (m) = 0.40 x-x

c (m) = 3.00

2

Lw (m) = 3.00

bwall (m) = 0.25

fcm (MPa) = fck + 8MPa = 28.00 28

fctm (MPa) = 2.21

acc = 0.85

fcd (MPa) = acc fck / c = 11.33

fyd (MPa) = fyk / s = 434.78

fywd (MPa) = fyk / s = 434.78

dbL (mm) = 14 14

dw (mm) = 8 8

cmin,b (mm) = 14.00

cdur, (mm) = 0.00

57

cdur,st (mm) = 0.00

cdur,add (mm) = 0.00

cmin,dur (mm) = 25.00

1992-1-1, 4.4.1.2 4.4

cmin (mm) = 25.00

cdev (mm) = 0.00

cnom (mm) = cmin +cdev = 25.00

d (mm) = h - cnom - dw - dbL /2= 460.00

57


3/35

2 M:

bw (m) = 0.25 bw>0.2m () ( 1998-1-1, 5.5.1.2.1)

bw (m) = 0.25 bw


4/35

/

(12 - C8)

:

vd = NE,C8/(bchcfcd) = -0.22

k2 = (1+0.75kD'/max) = 1.00 (/)

kD = 0.00

dbL

(7.5/Rd

)hc*(1+0.8v

d)f

ctm/(f

ydk

2) = 17.89

dbL (mm) 17.89 () 1

- ()

E,B12Yi-(kNm) = -119.23

= E,B12Yi-/ (bw d

2fcd) = 0.20 (/)

Klim = 0.29 5.6 (Designer's guide to 1992-1-1)

K = 0.20 (


5/35

2 M:

- ()

E,B12Yj-(kNm) = -84.59

= E,B12Yi-/ (bw d

2fcd) = 0.14 (/)

Klim

= 0.29 5.6 (Designer's guide to 1992-1-1)

K = 0.14 (


6/35

/

- ()

E,B12Ym+

(kNm) = 18.97

= E,B12Yi-/ (beffd

2fcd) = 0.01 (/)


K = 0.01 (


7/35

2 M:

XC2 ( 1992-1-1, 4.1)

S4

(sec) = 0.47

B

c (sec) = 0.50

q0 = 2.00 (1998-1, 5.1)

B10

bw (m) = 0.25

hw (m) = 0.50

hf(m) = 0.15

L(m) = 4.50

L : () /

fck (MPa) = 20.00 () fyk (MPa) = 500.00

acc = 0.85 . .

c = 1.50 ...

s = 1.15 ...

Es (MPa) = 200000.00 z-z

-840.78 =E,T3Xtop

(kN) E,C8-2top

(kN) = -382.16 y-y

-25.17 = MET3X,ztop

(kNm) MEC8-2,ytop

(kNm) = 51.10

119.77 = MET3X,ytop

(kNm) MEC8-2,ztop

(kNm) = 30.70

BX10 -

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/5

0

BY625/50

BY725/50

BY825/5

0

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

12

5/270

151

152

153

154

155

156

157

158

159

22

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

-916.72 = E,C8-2bot

(kN) E,C8-2bot

(kN) = -392.16

262.10 = MET3X,zbot

(kNm) MEC8-2,zbot

(kNm) = 34.84

-123.67 = MET3X,ybot

(kNm) MEC8-2,ybot

(kNm) = 56.54

MEBX10i-(kNm) MEBX10mid

-(kNm) MEBX10j

-(kNm)

-94.84 10.63 -70.25

MEBY12j-(kNm)

-84.59

35.29 20.37 40.40 75.79

MEBX10i+

(kNm) MEBX10mid+

(kNm) MEBX10m+

(kNm) MEBY12j+(kNm)

-1153.43 = ET3X-1bot

(kN) EC8-1top

(kN) = -524.99

75.94 = MET3X-1,ybot

(kNm) MEC8-1,ytop

(kNm) = 27.20

188.95 = MET3X-1,zbot

(kNm) MEC8-1,ztop

(kNm) = 15.19

-86.73 = MET3X-1,ybot

(kNm) MEC8-1,ybot

(kNm) = 27.09

754.02 = MET3X-1,zbot

(kNm) MEC8-1,zbot

(kNm) = 13.27 Y-1267.34 = ET3X-1

bot(kN) EC8-1

bot(kN) = -541.99 X

C8-1 & C8-2

B10 (25/50)

C8-2(40/40)

C8-1(40/40)

T3(375/25)

B10 (25/50) B12

(25/50)

62


8/35

2 M:

bc (m) = 0.40 z-z

hc (m) = 0.40 x-x

c (m) = 3.00

3

Lw (m) = 3.75

bwall (m) = 0.25

fcm (MPa) = fck + 8MPa = 28.00 28

fctm (MPa) = 2.21

acc = 0.85

fcd (MPa) = acc fck / c = 11.33

fyd (MPa) = fyk / s = 434.78

fywd (MPa) = fyk / s = 434.78

dbL (mm) = 14 14

dw (mm) = 8 8

cmin,b (mm) = 14.00

cdur, (mm) = 0.00

cdur,st (mm) = 0.00

63



1992-1-1, 4.4.1.2 4.4

cmin (mm) = 25.00

cdev (mm) = 0.00


d (mm) = h - cnom - dw - dbL /2= 460.00

63


9/35

2 M:

bw (m) = 0.25 bw>0.2m () ( 1998-1-1, 5.5.1.2.1)

bw (m) = 0.25 bw


10/35

2 M:

(X10 - C8)

:

vd = NE,C8/(bchcfcd) = -0.21

k1 = 7.50

kD = 0.67

k2 = (1+0.75kD'/max) = 1.25 (/)

dbL (mm)k1hc*(1+0.8vd)fctm/(fydk2) = 10.14

dbL (mm) 10.14 () 1

- ()

E,B12Yi-(kNm) = -94.84

= E,B12Yi-/ (bw d

2fcd) = 0.16 (/)


K = 0.16 (


11/35

2 M:

- ()

E,B12Yj-(kNm) = -70.25

= E,B12Yi-/ (bw d

2fcd) = 0.12 (/)


K = 0.12 (


12/35

2 M:

- ()

E,B12Ym+

(kNm) = 20.37

= E,B12Yi-/ (beffd

2fcd) = 0.01 (/)


K = 0.01 (


13/35

2 M:

314 149.91 12 (): MRdBY12j-(kNm)

314 140.73 12 (): MRdBY12j+(kNm)

314 95.87 10 (): MRdBX10i-(kNm)

214 95.35 10 (): MRdBX10i+(kNm)

-392.16 C8-2:E,C8-2bot

(kN)2

-524.99 C8-1:E,C8-1top

(kN)2

C8-1 & C8-2

bc (m) = 0.40 z-z

hc (m) = 0.40 x-x

c (m) = 3.00

y-yE,T2Y (kN)

-573.64 =E,T2Ytop

(kN) E,C8-2top

(kN) = -382.16 z-z

70.28 = MET2Y,ztop

(kNm) MEC8-2,ytop

(kNm) = 51.10

226.53 = MET2Y,ytop

(kNm) MEC8-2,ztop

(kNm) = 30.70

-632.71 = E,C8-2bot

(kN) E,C8-2bot

(kN) = -392.16 MRdBX10i-

71.82 = MET2Y,zbot

(kNm) MEC8-2,zbot

(kNm) = 34.84 95.87

C8 - 1

C8-2(40/40)

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125

/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

12

5/270

151

152

153

154

155

156

157

158

159

22

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

15.54 = MET2Y,yo

(kNm) MEC8-2,yo

(kNm) = 56.54

MEBY12i-(kNm) MEBY12mid

-(kNm) MRdBY12j

-(kNm)

-119.23 -3.73 149.91

86.56 18.97 140.73 95.35

MEBY12i+

(kNm) MEBY12mid+

(kNm) MRdBY12j+(kNm) MRdBX10i

+

-781.94 = ET2Y-1bot

(kN) EC8-1top

(kN) = -524.99

132.28 = MET2Y-1,ybot

(kNm) MEC8-1,ytop

(kNm) = 27.20

51.40 = MET2y-1,zbot (kNm) MEC8-1,z

top (kNm) = 15.19

895.33 = MET2Y-1,ybot

(kNm) MEC8-1,ybot

(kNm) = 27.09

61.76 = MET2y-1,zbot

(kNm) MEC8-1,zbot

(kNm) = 13.27 Y-870.53 = ET2Y-1

bot(kN) EC8-1

bot(kN) = -541.99 X

BY12 (25/50)

C8-1(40/40)

T2Y(300/25)

68


14/35

2 M:

dcL (mm) = 16 16

dw (mm) = 8 8

cmin,b (mm) = 16.00

cdur, (mm) = 0.00

cdur,st (mm) = 0.00



cmin (mm) = 25.00

cdev (mm) = 10.00


d (mm) = hc - cnom - dw - dcL /2= 349.00

93.39% (x-x)

NAI 3

92.96% (y-y)

NAI 3

69

o

bc (m) = 0.40 bc>0.25m ()

hc (m) = 0.40 hc>0.25m ()

o

= /(bhfcd) = -0.29 RC8-1,y

top+ RC8-2,y

bot> 194.89

RC8-1,ytop

= (NEC8-1top

/NEC8-2bot

) RC8-2,ybot

=> RC8-1,ytop

/ RC8-2,ybot

= 1.34

RC8-1,ytop

(kNm) = 111.56 RC8-2,ybot

(kNm)= 83.33

69


15/35

2 M:

RC8-1,ytop

+ RC8-2,ybot

> 1.3 (MRdBY12j++0) => RC8-1,y

top+ RC8-2,y

bot> 182.95

RC8-1,ytop

= (NEC8-1top

/NEC8-2bot

) RC8-2,ybot

=> RC8-1,ytop

/ RC8-2,ybot

= 1.34

RC8-1,ytop

(kNm) = 104.72 RC8-2,ybot

(kNm)= 78.23

RC8-1,ztop

+ RC8-2,zbot

> 1.3 (MRdBX10i-+0) => RC8-1,z

top+ RC8-2,z

bot> 124.63

RC8-1,ztop

= (NEC8-1top

/NEC8-2bot

) RC8-2,ybot

=> RC8-1,ztop

/ RC8-2,zbot

= 1.34

RC8-1,ztop

(kNm) = 71.34 RC8-2,zbot

(kNm)= 53.29

RC8-1,ztop

+ RC8-2,zbot

> 1.3 (MRdBX10i++0) => RC8-1,z

top+ RC8-2,z

bot> 123.95

RC8-1,ztop

= (NEC8-1top

/NEC8-2bot

) RC8-2,zbot

=> RC8-1,ztop

/ RC8-2,zbot

= 1.34

RC8-1,ytop

(kNm) = 70.95 RC8-2,ybot

(kNm)

= 53.00

() - C8-1

RC8-1,ytop

RC8-1,ztop

NEC8-1top

x-x (+) 111.56 0.00 -524.99 0.12

x-x (-) 104.72 0.00 -524.99 0.12

y-y (+) 0.00 71.34 -524.99 0.00

y-y (-) 0.00 70.95 -524.99 0.00

4

y-y (-)

C8-1 ()

x-x (-)

y-y (+)

70

RC8-1,ytop

RC8-1,ztop

NEC8-1top

C8-1 & C8-25

x-x (+) 83.33 0.00 -392.16 0.11 0.12

x-x (-) 78.23 0.00 -392.16 0.10 0.11

y-y (+) 0.00 53.29 -392.16 0.02 0.01

y-y (-) 0.00 53.00 -392.16 0.02 0.01

.

0.12

()

C8-1,ytop

C8-1,ztop

NEC8-1top

27.20 15.19 -524.99 0.00

C8-1,ybot

C8-1,zbot

NEC8-1bot

C8-1 & C8-2

56.54 34.84 -392.16 0.05 0.03

maxC8,1-2

0.12

C8-2 ()

C8-2 ()

C8-1 ()

70


16/35

2 M:

As,tot C8,1-2 (cm2)=maxC81,2 bh fcd/fyd = 4.80

min= 1.00% (/)

s,min (cm2) = min hcbc = 16.00

s,req (cm2) = 16.00 (As,req > As,min)

816 ()

s,prov = 16.08 6

: As,prov >s,req

max= 4.00% (/)

s,max (cm2) = max hcbc = 64.00

: s,max > As,prov >s,min

816 ()

cm2

16.08

3.00

3

s (mm) = 133.33 y-y

, &

3

71

s (mm) = 133.33 z-z

200.00

y-y ()

z-z ()

As (cm2) MRd (kNm)

RdC8-1,ytop

816 16.08 -0.29 0.39 108.80RdC8-1,z

top816 16.08 -0.29 0.39 108.80

As (cm2) MRd (kNm)

RdC8-2,ybot

816 16.08 -0.22 0.39 97.92

RdC8-2,zbot

816 16.08 -0.22 0.39 97.92

C8-1 ()

C8-2 ()

71


17/35

2 M:

x-x (+)

RC8-1,ytop

+ RC8-2,ybot

> 1.3 (MRdBY12j-+0) => 206.72 > 149.91

RC8-1,ytop + RC8-2,ybot > 1.3 (MRdBY12j++0) => 206.72 > 140.73

RC8-1,ztop

+ RC8-2,zbot

> 1.3 (MRdBX10i-+0) => 206.72 > 95.87

RC8-1,ztop

+ RC8-2,zbot

> 1.3 (MRdBY10i++0) => 206.72 > 95.35

1A.

2

,

. ,

, ,

,

.

, , ,

.

x-x (-)

y-y (-)

y-y (+)

72

6 () .

.

3

, , . .

4

.5,

.

72


18/35

2 M:

314 149.91 12 (, ): MRdBY12j-(kNm)

314 140.73 12 (, ): MRdBY12j+(kNm)

414 209.17 12 (, ): MRdBY12i-(kNm)

314 140.73 12 (, ): MRdBY12i+(kNm)

349.90 12 (): Rd,bi (kNm)

290.64 12 (): Rd,bj (kNm)

206.72 C8 (): Rd,c8 (kNm)

VG+2Q

-29.43 12 (, kN): V0,G+2Q (L-d)

19.05 12 (, kN): V0,G+2Q (d)

V1.35G+1.50Q-38.23 12 (, kN): V1.36G+1.50Q (L-d)

24.75 12 (, kN): V1.35G+1.50Q (d)

y-y

E,T2Y (kN)

-573.64 = E,T2Ytop(kN) E,C8-2

top(kN) = -382.16 z-z

47.38 = VET2Y,ztop

(kN) VEC8-2,ytop

(kN) = 35.98

240.17 = VET2Y,ytop

(kN) VEC8-2,ztop

(kN) = 44.86

BY12 - 1

-

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

12

5/270

151

152

153

154

155

156

157

158

159

22

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

-632.71 = E,C8-2bot

(kN) E,C8-2bot

(kN) = -392.16 VEBX10i(kN)

47.38 = VET2Y,zbot

(kN) VEC8-2,zbot

(kN) = 44.86 65.00

240.17 = VET2Y,ybot

(kN) VEC8-2,ybot

(kN) = 35.98

VEBY12i(kN) VEBY12m(kN) VBY12j (kN)

35.96 61.66 84.44

-781.94 = ET2Y-1bot

(kN) EC8-1top

(kN) = -524.99

584.06 = VET2Y-1,ybot

(kN) VEC8-1,ytop

(kN) = 9.44

25.20 = VET2y-1,zbot

(kN) VEC8-1,ztop

(kN) = 12.82

584.06 = VET2Y-1,ybot

(kN) VEC8-1,ybot

(kN) = 9.44


(kN) VEC8-1,zbot

(kN) = 12.82 Y-870.53 = ET2Y-1

bot(kN) EC8-1

bot(kN) = -541.99 X

BY12 (25/50)

(40/40)

C8-1(40/40)

T2Y(375/25)

73


19/35

2 M:

BY12

bw (m) = 0.25

hw (m) = 0.50

hf(m) = 0.15

L(m) = 3.00

Lcl (m) = 2.80

L : () /beff(m) = 0.76

d (mm) = h - cnom - dw - dbL /2= 460.00

Rd = 1.0

()

74

min{1.0, Rd,c/MRd,b}i = 1.00

min{1.0, Rd,c/MRd,b}j = 0.71

MRdBY12i-(kNm) = 209.17 12 (, )

MRdBY12j+(kNm) = 140.73 12 (, )

Lcl (m) = 2.80

V0,G+2Q (d) = 19.05 12 (, kN)

Rd = 1.00

VCD,i (d) (kN)= 129.50 12 ()

V1.35G+1.50Q (d) = 24.75 12 (, kN)

VE(d) (kN)= 129.50 12 ()

74


20/35

2 M:

min{1.0, Rd,c/MRd,b}i = 1.00

min{1.0, Rd,c/MRd,b}j = 0.71

MRdBY12i+

(kNm) = 140.73 12 (, )

MRdBY12j-(kNm) = 149.91 12 (, )

Lcl (m) = 2.80

V0,G+2Q (L-d) = 29.43 12 (, kN)Rd = 1.00

VCD,j(L-d) (kN)= 117.77 12 ()

V1.35G+1.50Q (L-d) = 38.23 12 (, kN)

VE(L-d) (kN)= 117.77 12 ()

lcr(m) = 0.50 (1.5hw, 1.0hw)

75

() = 21.80

.

45 (cot=1) , 21.8

() = 90.00 (=90: )

cw = 1.00

z (m) = 0.9d = 0.41

v1 = 0.6(1-fck/250) = 0.55

VRd,max (kN)=

=acwbwz1fcd(cot+cot)/(1+cot2)= 223.26 VRd,max (kN) = acw bw z 1 fcd / (cot+tan) =90

VE(d) (kN) = 129.50 12 ()

VRd,max > VCD(d)

VE(L-d) (kN) = 117.77 12 ()

VRd,max > VCD(L-d)

()

75


21/35

2 M:

w,req,i = VE(d)/(0.9bwdfywd) = 0.29%

2

8/110

sw (cm2) = 1.01 8

w,prov,i = Asw/(bwsw sin) = 0.37%

w,prov,i > w,req

w,min = 0.08fck(Pa)/fyk(MPa) = 0.07% & K

w,prov,i > w,min

sw (mm) < {8dbL,hw/4,24dbw,225mm}= 112

sw (mm) < {ddbL,hw/4,24dbw,175mm}= 84

s < sw

w,req,i = VE(L-d)/(0.9bwdfywd) = 0.26%

2

( d )

76

8/110

sw (cm2) = 1.01 8


w,prov,i > w,req


w,prov,i > w,min

sw (mm) < {8dbL,hw/4,24dbw,225mm}= 112

sw (mm) < {ddbL,hw/4,24dbw,175mm}= 84

s < sw

VE(lcr) (kN) = 17.36

w,req,i = VE(lcr)/(0.9bwdfywd) = 0.04%

2

8/320

sw (cm2) = 1.01 8

w,prov,i = Asw/(bwsw sin) = 0.13% w,prov,i > w,req

( d )

K

76


22/35

2 M:


w,prov,i > w,min

sw (mm) < 0,75d = 345

s < sw

VE(L-lcr) (kN) = 45.63

w,req,i = VE(L-lcr)/(0.9bwdfywd) = 0.10%

2

8/320

sw (cm2) = 1.01 8


w,prov,i > w,req

w,min = 0.08fck(Pa)/fyk(MPa) = 0.07% & K w,prov,i > w,min

sw (mm) < 0,75d = 345

s < sw

1

A.

7777


23/35

2 M:

816 108.80 C8-1 (): MRC8-1,ytop

(kNm)

816 108.80 C8-1 (): MRC8-1,ztop

(kNm)

816 108.80 C8-1 (): MRC8-1,ybot (kNm)

816 108.80 C8-1 (): MRC8-1,zbot

(kNm)

y-y

E,T2Y (kN)

-573.64 = E,T2Ytop

(kN) E,C8-2top

(kN) = -382.16 z-z

47.38 = VET2Y,ztop

(kN) VEC8-2,ytop

(kN) = 35.98240.17 = VET2Y,y

top(kN) VEC8-2,z

top(kN) = 44.86

-632.71 = E,C8-2bot

(kN) E,C8-2bot

(kN) = -392.16 VEBX10i(kN)

47.38 = VET2Y,zbot

(kN) VEC8-2,zbot

(kN) = 44.86 65.00

240.17 = VET2Y,ybot

(kN) VEC8-2,ybot

(kN) = 35.98


35.96 69.12 84.44

C8 - 1

C8-2(40/40)

T2Y(300/25)

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

12

5/270

151

152

153

154

155

156

157

158

159

22

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

MEC8-2,zbot

(kNm) = 34.84

MEC8-2,ybot

(kNm) = 56.54

-781.94 = ET2Y-1bot

(kN) EC8-1top

(kN) = -524.99

584.06 = VET2Y-1,ybot

(kN) VEC8-1,ytop

(kN) = 9.44


(kN) VEC8-1,ztop

(kN) = 12.82

584.06 = VET2Y-1,ybot

(kN) VEC8-1,ybot

(kN) = 9.44


(kN) VEC8-1,zbot

(kN) = 12.82 Y-870.53 = ET2Y-1

bot(kN) EC8-1

bot(kN) = -541.99 X

MEC8-1,ybot

(kNm) = 27.09

MEC8-1,zbot

(kNm) = 13.27

C8-1

bc (m) = 0.40 z-z

hc

(m) = 0.40 x-x

c (m) = 3.00

cl (m) = 2.50

BY12 (25/50)

C8-1

(40/40)

78


24/35

2 M:

Rd = 1.1

y-y2

min{1,Rd,c/MRd,b}top

= 0.71

min{1,Rd,c/MRd,b}bot

= 1.00

MRC8-1,ytop

(kNm) = 108.80

MRC8-1,ybot

(kNm) = 108.80

Hcl (m) = 2.50

Rd = 1.10

VCD,y(d) (kN)= 81.92

VEC8-1,ytop

(kN) = 9.44 12 (, kN)

VE,C8,y,max (kN)= 81.92 12 ()

z-z2

min{1,Rd,c/MRd,b}top

= 0.71

min{1,Rd,c/MRd,b}bot

= 1.00

MRC8-1,ztop

(kNm) = 108.80

MRC8-1,zbot

(kNm) = 108.80

Hcl (m) = 2.50

Rd = 1.10

()

79

VCD,z(d) (kN)= 81.92 12 ()

VEC8-1,ztop

(kN) = 12.82 12 (, kN)

VE,C8,z,max (kN)= 81.92 12 ()

lcr(m)= max{hc, bc, 0.45m, Hcl/5}= 0.50 ()

lcr=max{1.5hc, 1.5bc, 0.60m, Hcl/5}= 0.60 ()

79


25/35

2 M:

wd,min > 0.08

d = -0.30 = /(hcbcfcd)

d,max = -0.65

(0.55 , 0.65 )

d wd,min

80


26/35

2 M:

Lwd (m)= (nbb0+nhh0) = 2.58

Asw (cm2)= 0.50

V0 = LwdAsw/sw (mm3) = 1294.84

Vc = b0h0 (mm3) = 103684

wd,prov = V0fyd/(Vcfcd) = 0.48

wd,prov > wd,req

sw,max(mm) =min{8dbL,b0/2,175mm}= 128.0


sw,max(mm) < 128.0

sw V

81


27/35

2 M:

w,req,i = VE/(0.9bchfywd) = 0.15%

4

8/100

sw (cm2) = 2.01 8w,prov,i = Asw/(bcsw sin) = 0.50%

w,prov,i > w,req


w,prov,i > w,min



sw,max(mm) < 128.0

s < sw

2.

3

1A.

8282


28/35

2 M:

3

lw (m) = 3,75 1

bwl (m) = 0,25

hw (m) = 12,00

hst (m) = 3,00

n = 4

bwl,min (m) = max{150mm, hw/20} = 0,15

z-z

y-y z-z E,T3 (kN)

-840,78 =E,T3top

(kN) E,C8-2top

(kN) = -382,16 y-y

119,77 = MET3,ztop

(kNm) MEC8-2,ytop

(kNm) = 51,10

-25,17 = MET3,ytop

(kNm) MEC8-2,ztop

(kNm) = 30,70

-

C8-2

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

1

2

5/270

151

152

153

154

155

156

157

158

159

2

2

5/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

-916,72 = E,3bot

(kN) E,C8-2bot

(kN) = -392,16

-123,67 = MET3,zbot

(kNm) MEC8-2,zbot

(kNm) = 34,84

262,10 = MET3,ybot

(kNm) MEC8-2,ybot

(kNm) = 56,54

MEBX10i-(kNm) MEBY10mid

-(kNm) MRdBY10j

-(kNm)

-94,84 -3,73 -84,59

35,29 18,97 75,79

MEBX10i+ (kNm) MEBY10mid

+ (kNm) MRdBY10j+(kNm)

-1153,43 = ET3X-1bot

(kN)2

EC8-1top

(kN) = -524,99

188,95 = MET3X-1,ybot

(kNm) MEC8-1,ytop

(kNm) = 27,20

75,94 = MET3X-1,zbot

(kNm) MEC8-1,ztop

(kNm) = 15,19

754,02 = MET3X-1,ybot

(kNm) MEC8-1,ybot

(kNm) = 27,09

-86,73 = MET3X-1,zbot

(kNm) MEC8-1,zbot

(kNm) = 13,27 Y-1267,34 = ET3X-1

bot(kN) EC8-1

bot(kN) = -541,99 X

B10 (25/50)

C8-1(40/40)

T3(375/25)

83


29/35

2 M:

() ()

lc (m) = max{0.15lw, 1.5bw, l(c>0.2%)} = 0,56

()

max{0.20lw, 2bwl) = 0,75

lc (m) < max{0.20lw, 2bwl)

bw,min (m) = max{200mm, hst/15) = 0,20 lc max{0.20lw, 2bwl)

bw,min (m) = max{200mm, hst/10) = 0,20 lc > max{0.20lw, 2bwl)

bw > bw,min

# 2 8/200

Av (mm2/m) = 502,65

v,prov = Av/(1xbw) = 0,20%

v,min = 0,20%

v,max = 4,00%

v,min < v,prov < v,max

()

&

sv(mm) =min{3bw0,400mm}= 400,0

dbv = 8

sv(mm) =min{25dbv,250mm}= 200,0 Y

sw,max(mm) < 400,0

s < sw

dbv (mm) = 8

dbv,min (mm) = 8 ()

dbv,max (mm) = bwl/8 = 31 ()

dbv,min < dbv < dbv,max

h,prov = 0,20%

h,min = max{0.1%, 0.25v} = 0,10%

h,min = 0,20%

h,max = 4,00%

h,min < h,prov < h,max

&


30/35

2 M:

sh(mm) = 400,0

dbv = 8

sh(mm) =min{25dbv,250mm}= 200,0 Y

sw,max(mm) < 400,0

s < sw

dbh (mm) = 8

dbh,min (mm) = 8 ()

dbh,max (mm) = bwl/8 = 31 ()

dbh,min < dbh < dbh,max

z (m) = 0.8lw = 3,00

d (m) = 0.9lw = 3,38 d1 (m) = 0.1lw = 0,38

d1 / d = 0,11

d = /(bwllwfcd) = -0,12

d,max = -0,40 d=0.35 , d=0.40

|vd| 2)3

MET2Y-1,ybot

MET2y-1,zbot

ET2Y-1bot

kNm kNm kN

754,02 -86,73 -1267,34 0,020

MET2Y-1,ybot

MET2y-1,zbot

ET2Y-1bot

kNm kNm kN tot

(minN)4 -188,95 3,36 -763,87 0,01 0,02

As1 (cm2)=1bwld fcd/fyd = 2,20

req = As1/lcbwl = 0,16%

min= 0,50% (/)

s,min (cm2) = min lcbwl = 7,03

s,req (cm2) = 7,03 (As,req > As,min)

cm2

614

s,prov (cm2) = 9,24 5

: As,prov >s,req

, &

85


31/35

2 M:

max= 4,00% (/)

s,max (cm2) = max lcbwl = 56,25

: s,max > As,prov

s,prov (cm2) = 9,24

MRdT2Y-1,ybot

(kNm)= 1290,94

nL = 3

6

s (m) = (lc-2cnom)/nL 0,17

5

2

6 ,

.

.

6 8 . 200mm 2000.

2 G+2QE 9.2-8 1

1.1.1

( lc (m) < max{0.20lw, 2bw)

3 hw/lw>2, ,

. ,

.

4

(, , )

, (minN) 9.2-8

.

5

.


32/35

2 M:

3

lw (m) = 3,75

bwl (m) = 0,25

hst (m) = 3,00

bwl,min (m) = max{150mm, hw/20} = 0,15

cm2

614

1290,94 (): MRT2Y-1,ybot

(kNm)

(sec) = 0,47

B

c (sec) = 0,50

q0 = 2,00 (1998-1, . 5.1)

PGA (g) = 0,24

Se(Tc) (sec) = 0,73 c ()Se(T1) (sec) = 0,73 1

n = 4

z-z

E,T2Y (kN)

-840,78 = E,T3top

(kN) E,C8-2top

(kN) = -382,16 y-y

47,38 = VET3,ztop

(kN) VEC8-2,ytop

(kN) = 35,98

240,17 = VET3,ytop

(kN) VEC8-2,ztop

(kN) = 44,86

-

C8-2

4.5m

4.5m

5.5m

4.5m 4.5m3.5m

BX1 25/50 BX2 25/50 BX3 25/50

BX4 25/50 BX5 25/50

BX6 25/50 BX7 25/50 BX8 25/50

1.2m

BX9 25/50 BX10 25/50

C1 40/40 C2 40/40

BY125/50

BY225/50

BY325/50

C3 40/40 C4 40/40

BY425/50

BY525/50

BY625/50

BY725/50

BY825/50

BY925/50

BY1025/50

BY1125/50

BY1225/50

C5 40/40 C6 40/40

C7 40/40 C8 40/40

1.2m

T1X T2X

1

25/270

151

152

153

154

155

156

157

158

159

2

25/270

1 375/25

3 375/25

2.7m

0.4m 0.4m

0.4m

0.4m

XY

0.4m 0.4m

T1Y300/25

T2Y300/25

-632,71 = E,3bot

(kN) E,C8-2bot

(kN) = -392,16

47,38 = VET3,zbot

(kN) VEC8-2,zbot

(kN) = 44,86

240,17 = VET3,ybot

(kN) VEC8-2,ybot

(kN) = 35,98


-7,33 23,99 60,18

MEC8-2,zbot

(kNm) = 34,84

MEC8-2,ybot (kNm) = 56,54

-1153,43 = ET3-1bot

(kN) EC8-1top

(kN) = -524,99

687,39 = VET3-1,ybot

(kN) VEC8-1,ytop

(kN) = 9,44

36,24 = VET3-1,zbot

(kN) VEC8-1,ztop

(kN) = 12,82

448,87 = VET3-1,ybot

(hcr)(kN)

687,39 = VET3-1,ybot

(kN) VEC8-1,ybot

(kN) = 9,44

36,24 = VET3-1,zbot

(kN) VEC8-1,zbot

(kN) = 12,82 Y-1267,34 = ET3-1

bot(kN) EC8-1

bot(kN) = -541,99 X

MEC8-1,ybot

(kNm) = 27,09

MEC8-1,zbot

(kNm) = 13,27

BY10 (25/50)

C8-1(40/40)

T3(375/25)

B12(25/50)

87


33/35

2 M:

= 1,50

VET3-1,ybot (kN) = 1031,09

hw/lw = 4,00

(hw/lw > 2)

1,50

= 1.2Rd/MEd < q 1,73 Hw/lw2VET3-1,y

bot(kN) = 1266,31

hcr> max{lw, Hw/6} = 3,75

hcr< min{2lw, hst} = 3,00 n 6

hcr< min{2lw, 2hst} = 6,00 n > 6

Y

() = 21,80

.

45 (cot=1) , 21.8

VRd,max (kN)= 0.24(1-fck/250)bwllwfcdsin(2) (kN)= 1903,35 ()1

VRd,max (kN)= 0.4[0.24(1-fck/250)bwllwfcdsin(2)] = 1104,00 (Y)1

VET3-1,ybot

(kN) = 1031,09

VRd,max > V ()

s = d/(VEdlw) = 0,35

as 2

h,req = VET3-1,ybot

/(0.8bwllwfywd) = 0,32%

# 2

12/200 (8/200)

Asw (mm2/m) = 1130,97 2#

sw (cm2) = 1,13 12

h,prov = Asw/(bwlsw) = 0,45%

h,prov > h,req

88


34/35

2 M:

() = 21,80

.

45

(cot=1) , 21.8

VRd,max (kN)= 0.24(1-fck/250)bwllwfcdsin(2) (kN)= 0,00

VET3-1,ybot

(hcr)(kN) = 673,30

VRd,max > VET2Y-1,ybot

(hcr)

L ( Ac=lcbwl) = 0,82% L >2% Ac=lcbwl

wd,min > 0,08

d = -0,99 = d/(lcbwlfcd)

K

89

= 2q0-1 = 3,00 (c)

= 1+(2q0-1)c/T = 4,19 ( 0,33 =30(d+v)sy,dbwl/b0-0.035

wd,req = 0,97

wd,req > wd,min

89


35/35

2 M:

Lwd (m)= (nbb0+nhh0) = 1,63

Asw (cm2)= 1,13

V0 = LwdAsw/sw (mm3) = 2625,47

Vc = b0lc (mm3) = 102500

wd,prov = V0fyd/(Vcfcd) = 0,98 wd,prov > wd,req

1 acc cc = 0,85 6.1 EN1992-1-1:2005. , cc fcd, 1998, cc = 1,0.

ec8 design example

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