7/25/2019 Ugibi-ver.1

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(presek 1-1)

Ugib od stalnog optereenja:

Mg= 29.25 KNm 15.4

Ng= 0 KN 1800b= 100 cm 48600.00

d= 18 cm 9 cm

2.5 15.00 cm

15.40 0

0

3 cm

3 cm

POETNI UGI-stanje I- bez prs!na"# 400$500

M% 30

&.18 mm - reat!'n! east!(n! )g!b

31.5 *+a 1902.6&

210 *+a 9.32 cm

n= 6.6& 52096.5&

0.9329

!"# $$

-stanje II- sa prs!nama

0.200

4.62 cm 0.000

461.& 0.010

2.31 cm 0.13&

820 0.13&

4.62 cm s= 0.308

14348.&918

3.38&

%&"' $$

m,ment p,ja'e prs!na Mr ) r!t!cn,m prese)

2.4 Mpa

2.4 Mpa

2.91 Mpa

6004.50691

1#" N$

#a= cm2

#b= cm2

Ib= cm4

b=

/=

a2=

#a1

= cm2 Ia= cm4

#a2

= cm2

a1=

a2=

'b=

b= #

!I= #

bIn#

a= cm2

a=

!2I=

b2I

a2-

b2In#

a$#

!I=

I!I= I

bInI

a#

bI

a2-

b2I

!2I-

b2I= cm4

aI= I

bI$I

!I=

'It0=

aI'

b=

s22n1

2s-2n

1

2a

2=0

2=a

2$7=

II= s7= 2=

#bII= bII= cm2 1=

b2

II=II$2= 2n

1

2=

IbII= bII3$12= cm4 2n122=

!2

II= II=

I!II= I

bIInI

a#

bII

a2-

b2II

!2II-

b2II= cm4

aII= I

bI$I

!II=

'II

t0= aII

'b=

Mr=

bzs:

!1I

bzm

=

bz

= bzm

=

bz;s

=

:!1

I= I!I$

!1I= I

!I$d-

!2I= cm3

*r+

7/25/2019 Ugibi-ver.1

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1.0

1.0 t=0

0 KNm

1&.5 KNm 1>2Mr$M= 0.40

1'", $$- poetni .gib

UGI U TOU /0E*EN

0.80

2.50

2.00

10.50

20.00

-stanje I- bez prs!na

2108

9.8&& cm

5806&.93

0.85

%2"3 $$

-stanje II- sa prs!nama

&&0

&.38& cm

305&9.14

0.204

'!"# $$

1.0

0.5 t=

8.& KNm 1>2Mr$M= 0.&0

'% $$

Ugib od stalnog i po4re$enog optereenja:

Mgp= 4&.25 KNm 15.4

Ngp= 0 KN 1800

b= 100 cm 48600.00

d= 18 cm 9 cm

2.5 15.00 cm

15.40 0

0

3 cm

>1=

>2=

M0=N

!2I-II$1-

aI$

aII=

>1>

2M

r=

'Mt

0= 1-'

MIt0 '

MIIt

0=

?=

/=

?/

=

b@=

b$1?

/

=

n@= a$

b@=

#!@I= #

bIn@#

a= cm2

!2

@I= b2

Ia2

-b2

In@#a$#

!@I=

I!@I= I

bIn@I

a#

bI

a2-

b2I

!2@I-

b2I= cm4

/

I=1-n@AIa#

a

a2-

!2I

a2-

!2@IB$I

!@I=

'It=

aI1

/I/

'

b=

#!@II= #

bIIn@#

a= cm2

!2

@II= b2

IIa2

-b2

IIn@#a$#

!@II=

I!@II= I

bIIn@I

a#

bII

a2-

b2II

!2@II-

b2II= cm4

/

II=1-n@AIa#

a

a2-

!2II

a2-

!2@IIB$I

!@II=

'IIt=

aII1

/II/

'

b=

>1=

>2=

>1>

2M

r=

'Mt

= 1-

b'

MIt

b'

MIIt

=

#a= cm2

#b= cm2

Ib= cm4

b=

/=

a2=

#a1

= cm2 Ia= cm4

#a2

= cm2

a1=

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3 cma2=

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POETNI UGI-stanje I- bez prs!na

11.6 mm - reat!'n! east!(n! )g!b

31.5 *+a 1902.6&

210 *+a 9.32 cm

n= 6.6& 52096.5&

0.9329

12", $$

-stanje II- sa prs!nama

0.200

4.62 cm 0.000

461.& 0.010

2.31 cm 0.13&

820 0.13&

4.62 cm s= 0.308

14348.&918

3.38&

'3"' $$

m,ment p,ja'e prs!na Mr ) r!t!cn,m prese)

2.4 Mpa

2.4 Mpa2.91 Mpa

6004.50691

1#" N$

1.0

1.0 t=0

0 KNm

1&.5 KNm 1>2Mr$M= 0.63

%,"# $$- poetni .gib

onaan .gib:

$$

Cs',jena armat)raD

'b=

b= #

!I= #

bIn#

a= cm2

a= !2I= b2Ia2-b2In#a$#!I=

I!I= I

bInI

a#

bI

a2-

b2I

!2I-

b2I= cm4

aI= I

bI$I

!I=

'It0=

aI'

b=

s22n1

2s-2n

1

2a

2=0

2=a

2$7=

II= s7= 2=

#bII= bII= cm2 1=

b2

II=II$2= 2n

1

2=

IbII= bII3$12= cm4 2n122=

!2

II= II=

I!II= I

bIInI

a#

bII

a2-

b2II

!2II-

b2II= cm4

aII= I

bI$I

!II=

'IIt0=

aII'

b=

Mr=

bzs:

!1I

bzm

=

bz= bzm=bz;s

=

:!1

I= I!I$

!1I= I

!I$d-

!2I= cm3

*r+

>1=

>2=

M0=N

!2I-II$1-

aI$

aII=

>1>

2M

r=

'Mt0= 1-'MIt0 'MIIt0=

EM;gpt=EM;gpt0EM;gt-EM;gt0=

donja 5ona 012612gornja 5ona 0861

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7/25/2019 Ugibi-ver.1

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1

"# 400$500 0.4 1 400

*# 240$360 0.8 0.5 240

2

centr!cn, zatezanje 0.25

c!st, sa'!janje 0.125

M% 20 28.5 1.8

M% 25 30 2.1

M% 30 31.5 2.4

M% 35 33 2.65

M% 40 34 2.9

M% 45 35 3.15

M% 50 36 3.4M% 55 3& 3.6

M% 60 38 3.8

>2

rat,trajn, ,ptereFenje 1

d)g,trajn, ,ptereFenje 0.5

>1 G'

bH*pa

bzmHMpa