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8/13/2019 most betonski

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1

1-1 2-2.

V600 0.6- , 0.2 . 2.0.

1.5. 100kN; Kd=1.4-0.008l


4/31

1-1

=0,3 kN/m =0,050,525=0,63 kN/m

=0,260,225=1,46 kN/m

=0,10,2125=0,53 kN/m

=0,280,2525=1,75 kN/m

=0,720,0525=0,9 kN/m

=0,720,0221=0,3 kN/m

=1 kN/m

=1,10,5(0,15+0,12)/225=3,71 kN/m

g1-1=10,57 kN/m


5/31

2-2

=0,90,0624=1,3 kN/m

=0,01160,9=0,14 kN/m

=0,150,925=3,38 kN/m

=0,20,9/225=2,25 kN/m


6/31

1-1

Mg=-(0,31,03+0,63 1,14+1,46 0,1+0,53 0,25+1,750,98+0,9 0,53+0,3 0,53+3,71 0,5+1 0,49)=

=-6,41 kNm/m

MP=-51,00,5=-2,5 kNm/mMu=1,6(-6,41)+1,8(-2,5)=-14,324kNm/m

2-2

Mg=-6,14-

(1,30,45+3,380,45+2,250,3+0,140,45+10,570,9==18,50kNm/m

Mp=-5,01,4=-7,0 kNm/m


7/31

b1=0,6+20,16=0,92m

b2=0,2+20,16=0,52m

F=1001,384=138,4 kN

1-

beff=21,5+0,52+20,6=4,72

mMp=-

3138,40,6/4,72=52,78 kNm/m

2-

beff=1,5m

Mp=-138,40,6/1,5=55,36kNm/m


8/31

Mu=-(1,618,5+1,8(7+55,36))=-141,85 kNm/m


9/31

2

. 600 0.6- , 0.2 . 2.0. 1.5.

100kN;

Kd=1.4-0.008l . 3.5kN/m. ().16kN/m3; 24 kN/m3. .

.


10/31

-

=3,5 kN/m

=2,6+0,15=2,75 m

=0,0624=1,44 kN/m2

=(2,6-0,15)/2=1,225 m

=0,0116=0,16 kN/m2=(2,6-0,15)/2=1,225m

=0,10,1525=0,375 kN/m

=2,6+0,075=2,675 m

= 2,75(0,25+0,4)25=22,344 kN/m

=2,75(20,25+0,4)/(3(0,25+0,4))= 1,27 m


11/31

:dp=0,283m

=2,15 m

b1=0,6+(0,06+0,01+0,

283/2)=1,023m

b2=0,2+(0,06+0,01+0,283/2)=0,623m

beff1=b2+2a=0,623+22,15=4,293m>1,5m

beff1=1,5m

,

:dp=0,392m

=0,225 m

b1=0,6+(0,06+0,01+0,392/2)=1,132m

b2=0,2+(0,06+0,01+0,392/2)=0,732m

beff2=b2+2a=0,732+20,225=1

,182m


12/31

Mg=-(3,52,75+(1,44+0,16)2,451,225+0,3752,675 +

22,3441,27)=-43,81 kNm/m

=-( 137,82,15/1,5+3/4137,80,225/1,182)=

= -217,19 kNm/m


13/31

Mu=-(1,643,81+1,8217,19)=-461,04 kNm/m

a=1,5+2,2/2=2,6 cm

h=40-2,6=37,4 cm

R22/10


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15/31

: d=25cm : dhi=1cm

hi=16 kN/m3

: da=7cmga=24 kN/m3

Tandem

: 0.4m x 0.4m

: 150kN

(300kN po osovini)

45 : 12m

: 0.5Mpgr

: 0.7Mpgr


16/31

:

: g=0.25*25=6.25kN/m2

: ga=0.07*24=1.68kN/m2

: ghi=0.01*16=0.16kN/m2

g = 6.25+1.68+0.16=8.09 kN/m2

:

tandem 150kN:

: - :b1=0.4+2x(0.07+0.01+0.25/2)=0.81m

- :

b2=0.4+2x(0.07+0.01+0.25/2)=0.81m

beff=b2+l*Ap/A=0.81+6x0.35=2.91>2.0 ( )

beff=2.0 m


17/31

:

b1=0.81, .

: P=150/beff=75kN/m

: 3m9kN/m2

2.5kN/m2


18/31

Mg=8.09*62/8=36.405 kNm/m

:

1. :

Mp=183.20Nm/m

2. :

Mp=179.94 kNm/m

.

l=6.0 m


19/31

:

:Mu=1.6*36.405+1.8*183.2=384.808 kNm/m

:

Mup=0.5*Mu=192.404 kNm/m

Muo=0.7*Mu=269.360 kNm/m

:d=25cm, ( R19):

a=1.5+1.9/2=2.45cm

h=25-2.45=22.55cm

Fa=Mu/(0.9*h*v)=192.404*100/(0.9*22.5*40)=23.7cm2/m (R19/10)

:

A=28.34cm2

:

h=Mu/(0.9*Fa*v)=269.36*100/(0.9*28.34*40)=26.4cm

( )

hv=26.4-22.55=3,85cm


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:


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:


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1

1 1

M M i ii

a IR R

a I

(1)


25/31

0M

11 1 2 2 ....

2M M M

i i

aR a R a R a (2)

1 22M i ii

i i

a a IR a I

(1) (2)


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P Mi iR R

-

1,1 22

i i ii

i i i

I a a I

I a I

-

-

, 22i k i i

i k

i i i

I a a I

I a I

, 2

1

2k i

i k

i

a a

n a

1


27/31

1

Kd=1.25


28/31

0.64 0.88 0.14 0.38 0.64 0.142.90 (0.88 0.38) 1.20 (0.64 0.14) 1.80 2 1.80 2 2 6.50

2 2 2ip

7.10 /ip kN m.

. 0.46 0.38 0.12 0.04 0.38 0.122.90 (0.46 0.04) 1.20 (0.38 0.12) 1.80 2 1.80 2 2 6.50

2 2 2srp

7.10 /sr

p kN m


29/31

119 (0.58 0.34) 109.50P kN

2

0.64 0.883 2 0.5 0.28 2.33 3 5.54 /

2

p kN m

1 2

0.64 0.283 5.95 13.75 /

2

p p kN m

( )


30/31

( )

119 (0.36 0.28) 76.16P kN

.

20.38 0.46 0.26 0.043 2 3 5.50 5.02 /

2 2p kN m

1 2

0.38 0.265.95 3 10.73 /

2p p kN m


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