Design of Eurocode Columnxlsx

8/9/2019 Design of Eurocode Columnxlsx

http://slidepdf.com/reader/full/design-of-eurocode-columnxlsx 1/20

Smart Structureal Engineering Designed by Liban Mustafe 1

Main beam :

b = 250.00 mm 4000

h 350.00 mm 4000

Secondary beam :

b = 250.00mm

h = 400.00mm

000.00 mm

!000.00 mm

Material :

25500

unit "eig#t of concrete $ 25

Moment and a%ial force :

55&'m

(&'m

32&'m

(10 &'m

1!00.00 &' )ssumed

'ominal co*er $ 30 mm

+olumn :

b 300.00mm

h = 350.00mm

l = 4000.00 mm

l1 =

l2

=

l1

l2

f c, $ '-mm2

f y,

$ '-mm2

&'-m3

M

/ositi*e

M

nega*ti*e

My

/ositi*e

My nega*ti*e

'ed

$

lin,

$

bar

$

bar min

$




Determintion of non slender or slender column

Dimension and sie

+olumn:

b x h = 300.00 % 350 m

4000.00 ( 350 350

4000.00 ( 400 300

eam:

Main beam b x h = 250 % 350

000.00 mm

!000.00 mm

secondary beam b x h = 250 % 400

4000.00 mm

4000.00 mm

+olumn:

eam :

!.32E0!

1.333E0

+olumn :

234.3!

l z =

l y =

l1

l2

l1

l2

Moment of inertia , I = bh3 /12

I zz

= mm4

i yy

= mm4

Main beam I = mm4

sec beam I = mm4

Stiness, K = EI/I

,

$ mm3




21!650.00

beam : Main 1.4!E05

1.116E05

Secondary:

3.333E05

3.333E05

(a%is :

5.3E(01 7 0.1

5.3E(01 7 0.1

use t#e number

y ( a%is :

1.41E(01 7 0.1

1.41E(01 7 0.1

use t#e number

5.!.3.2829 Eective Length of column,

using simplifed method

(a%is : End condition o/ $ 1

ot $ 1

43!0

y(a%is : End condition o/ $ 1

ot $ 1

4320

,yy

$ mm3

& mb1

$

,mb2

$

,sb1

$

& sb2

$

Relative column stiness, k = k col

/2 (∑k beeam

to/ end : ,2

$

bot end : & 1 $

to/ end: ,2

$

Eective length lo

= actor x clear height

lo

$

loy

$

Ra!ius of g"ration, I = ( I / A)1/2




101.04mm

!.0mm

;ef +alculations

5.!.3.1819

43.35

4.!!

)$ 0.6

$ 1.1

(0.11

1.!1

(0.31

2.01

n =

)c $ 105000

14.16

n = 1.21

30.5mm

34.0mm

since 43.35 7

4.!!7

i z

=

i y

=

Slen!ernesss ratio, # = l o / i

#$

=

#"

=

Slen!erness limit , #lim

= 20.A.B.C/(n1/2 )

+ $ 1.6 ( rm

"#ere rm

$ 8Mo1

-Mo2

9

;m

(a%is

+

$

;m

y(a%is

+y

$

Ned /(A

cf

cd )

mm2

f cd

$ '-mm2

<(a%is : =lim

>(a%is : =lim

#$

= =lim

#"

=

=limy




%&ial force an! moment in column

)ctions

Main beam o/ ;oof 345 2nd

10.00 15 20 20

5.00 15 10 10

42.65 !5.50 !5.50 !5.50

secondary beam

11.00 10 21 20

3.00 10 13 14

3.0 56.00 .0 .0

%'%L L)%* )+ )L-M+

to.

)ctions from Main beam $ 2.25 &'

)ctions from sec beam $ 15. &'

+olu mn self "eig#t $ 14.165 &'

463.025 &'

R))

)ctions from Main beam $ 5!.5 &'

)ctions from sec beam $ 22! &'

+olu mn self "eig#t $ 1 &'

!2.5&'

/erm actioins ?,

@ariabl actions A&

Design action Bd

/erm actioins ?,

@ariabl actions A&

Design action Bd

+olumn a%ial force 'to/

$


$



Smart Structureal Engineering Designed by Liban Mustafe

0,1,


)ctions from sec beam $ 6!.3 &'

+olu mn self "eig#t $ 14.165 &'

120.65&'

2


)ctions from sec beam $ 6!.3 &'+olu mn self "eig#t $ 14.165 &'

120.65&'

3


)ctions from sec beam $ 6!.3 &'

+olu mn self "eig#t $ 0 &'

126.!&'


$


$

+olumn a%ial force 'to/ $




DESC?' MME'

5.!.!.2 #e im/erfection moment5.2869

1.61&'-m

1.44&'-m

#e design moment including t#e eect of im/erfection

64.61&'-m51.44&'-m

+FE+& C)GC)L E'DC'?

E $ 41.51 mm

E $ 2!.5! mm

0.5 7 0.2

1. 7 0.2

+#ec, bia%ial

=y- = $ 1.150!5 H 2

=- =y $ 0.!04! H 2

ignore bia%ial

;EC'I;+EME' DESC?'

Mim/

$ N

E !E

I'

ED. 8 "

# $ %&&'

Mim/ <

$

Mim/ <

$

MED<

$

MED>

$

Medy

- 'ed

Medy

- 'ed

8ey

- #9-8 e - b9 $

8e - b9-8 ey - #9 $



Smart Structureal Engineering Designed by Liban Mustafe !

301.5mm

251.5mm

246.6&'

204.53&'

7 (((((((((((((((((((((((((7 use MJ

'-b#fc, $ 0.

0.31

4.004 61.0236

4!.5

0.13!561

0.102412Design c#art

0.4!

2520

.5.2829

$ 450

.5.2839

$ 4200

.5.3 .25

iameter of "ires of "elded mes# s#ould not be less t#an 5m

Eecti*e de/t# d $ h ( )nom

( lin*

( 0.5 bar

h+ =

b+ =

M- # $M

y- $

M- # M

y-b

MJ

$ M

K8h, $ b,' - y

MJy

$ M

K8h, $ b,' - y

K$1('-b#fc,

MJ

$ MJy

$

d2

= )nom

.lin*

. 0.5 bar

d2 $ h

=

M-b#2

fc, $

)sfy,

-b#fc,

)s

$ 0.4! b#fc,

-fy, mm2

)smin

$ 0.1 'ed

-fy,

mm2

)s ma%

$ 0.04)c

mm2

Lin,s min

$



Smart Structureal Engineering Designed by Liban Mustafe

t#e lesser of

$ 400

$ 300.00

$ 400.00 se : 300.00

5.!.849 4E5 6%'%L 6E+*+

Stteel area

4 F 25.00 4.00 F 20.00

4 F 25.00 2.00 F 20.00

4 F 25.00 2.00 F 20.00

321!.5

250.5

250.5

0.13!561

0.116

'-b#fc, $ 0.

0.4

0.10

4.0

0.4

0.066

Sy ma%

$

)s

$

)s

$

)sy

$

d2z

$ h

=

d2y

$ b

=

)s

f y,

-b#fc,

$

M-b#2f c, $

M;d

$

)sy

f y,

-b#fc,

$

M-b#2f c,

$




61.03

$ 2!!!.423

0.2 a $ 1.6

5.!.829 Cm/erfections need only to be ta,en in one direction ( "#ere t#ey #a*e t

unfa*orable eect

64.61

32.00

0.334604541 H 1

M;dy

$

N/d

= 0.56 c* 0

c. &!

y* 0

s

Ned $ N

/d=

MED<

$

MED>

$

(Me!$

/MR!$

a 8 ((ME!"

/MR!"

a 9 3




mm

mm

25

20




mm

mm

mm




1.2

1.2




out/ut

30.5 slender

34.0 slender




1st

20

10

!5.50

22

12

.0









Smart Structureal Engineering Designed by Liban Mustafe 1!

252




F10(300




e most

&

Date post:	01-Jun-2018
Category:	Documents
Upload:	libanpires
View:	232 times
Download:	2 times

Design of Eurocode Columnxlsx

Documents