Dimenzioniranje ploče POS 200

Dimenzioniranje ploče POS 200 Ukupno opterećenje na ploči: stalno: g = 5,1 kN/m2 korisno: q = 5,8 kN/m2 Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

qsd = 1,35·g+1,5·q = 15.59 kN/m2

1

Slika Momenti savijanja , smijer x

2

Slika Momenti savijanja , smijer y

3

Donja zona Ploča POS 203 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 22,03 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

22,03 ⋅ 100 = 0,078 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,083 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 4,14cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q424 zona)

Ploča POS 204 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yd =

f yk

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

4

As1=4,24 cm 2 /m

(donja

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 15,00 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

15,00 ⋅ 100 = 0,053 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,055 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 2,74cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q283

As1=2,83 cm 2 /m

zona)

Ploča POS 205 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 14,32 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

14,32 ⋅ 100 = 0,051 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,053 Potrebna površina armature:

5

(donja

AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 2,64cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q283

As1=2,83 cm 2 /m

(donja

zona)

Ploča POS 206 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 23,13 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

23,13 ⋅ 100 = 0,082 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,086 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 4,29 cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q424

As1=4,24 cm 2 /m

(donja

zona) Uz slobodan rub ploče usvaja se armatura u vidu podužne armature i ukosnica i to: 2 x 2Ф14 podužna armatura 6

Ф10/25 cm

armatura u vidu ukosnica

Ploča POS 207 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 17,53 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

17,53 ⋅ 100 = 0,062 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,065 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 3,24cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q335 As1=3,35 cm 2 /m

Ploča POS 208 Beton: C25/30 Armatura: B500

7

(donja zona)

f ck 25 = = 16,67 MPa γ c 1,5

f cd =

f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 14,33 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

14,33 ⋅ 100 = 0,051 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,053 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 2,64cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q283 As1=2,83 cm 2 /m

Ploča POS 210 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 19,37 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

19,37 ⋅ 100 = 0,069 100 ⋅ 13 2 ⋅ 1,667

8

(donja zona)

Iz tablica: ωSd , s =0,073 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 3,64cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q385 As1=3,85 cm 2 /m

(donja zona)

Uz slobodan rub ploče usvaja se armatura u vidu podužne armature i ukosnica i to: 2 x 2Ф14 podužna armatura Ф10/25 cm armatura u vidu ukosnica Ploča POS 211 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 18,02 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

18,02 ⋅ 100 = 0,064 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,068 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 3,39cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

9

usvojeno: Q335 As1=3,35 cm 2 /m

(donja zona)

Ploča POS 212 i POS 213 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 10,00 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

10,00 ⋅ 100 = 0,035 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,036 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 1,79 cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: Q188 As1=1,88 cm 2 /m

Gornja zona Oslonac: POS 201 – POS 205 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yd =

f yk

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm

10

(donja zona)

statička visina d=13,00 cm Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 27,50 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

27,50 ⋅ 100 = 0,098 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,106 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 5,28cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R524 As1=5,24 cm 2 /m

Oslonac: POS 202 – POS 204 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 11,50 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

11,50 ⋅ 100 = 0,041 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,043 Potrebna površina armature:

11

(gornja zona)

AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 2,14 cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R257 As1=2,57 cm 2 /m

(gornja zona)

Oslonac: POS 203 – POS 204 i POS 204 – POS 206 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 32,30 kNm µ Sd , s =

M Sd ,s b ⋅ d ⋅ f cd 2

=

32,30 ⋅ 100 = 0,115 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,125 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 6,23cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R636 As1=6,36 cm 2 /m

12

(gornja zona)

Oslonac: POS 204 – POS 205 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 25,60 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

25,60 ⋅ 100 = 0,091 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,097 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 4,83cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R503 As1=5,03 cm 2 /m Oslonac: POS 207 – POS 208 i POS 208 – POS 210 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 24,10 kNm

13

(gornja zona)

µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

24,10 ⋅ 100 = 0,086 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,091 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 4,54cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R503 As1=5,03 cm 2 /m

Oslonac: POS 208 – POS 208 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 22,70 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

22,70 ⋅ 100 = 0,081 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,085 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 4,24cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

14

(gornja zona)

usvojeno: R503 As1=5,03 cm 2 /m

(gornja zona)

Oslonac: POS 211 – POS 205 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 27,70 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

27,70 ⋅ 100 = 0,098 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,106 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 5,28cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R524 As1=5,24 cm 2 /m

Oslonac: POS 205 – POS 205 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yd =

f yk

γs

=

500 = 434 ,78 MPa 1,15

15

(gornja zona)

zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 23,63 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

23,63 ⋅ 100 = 0,084 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,090 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 4,49cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R503 As1=5,03 cm 2 /m Oslonac: POS 212 – POS 213 i POS 213 – POS 213 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 26,80 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

26,80 ⋅ 100 = 0,095 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,101 Potrebna površina armature:

16

(gornja zona)

AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 5,03cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R503 As1=5,03 cm 2 /m

(gornja zona)

Oslonac: POS 203 – POS 207 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 34,85 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

34,85 ⋅ 100 = 0,124 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,135 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 6,73cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R785 As1=7,85 cm 2 /m

Oslonac: POS 207 – POS 211

17

(gornja zona)

Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 29,90 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

29,90 ⋅ 100 = 0,106 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,114 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 5,68cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R636 As1=6,36 cm 2 /m

Oslonac: POS 211 – POS 212 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

18

(gornja zona)

MSd = 32,25 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

32,25 ⋅ 100 = 0,114 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,124 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 6,18cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R636 As1=6,36 cm 2 /m

(gornja zona)

Oslonac: POS 204 – POS 208 , POS 205 – POS 208 i POS 205 – POS 213 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 25,80 kNm µ Sd ,s =

M Sd , s b ⋅ d ⋅ f cd 2

=

25,80 ⋅ 100 = 0,092 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,098 Potrebna površina armature: AS 1 = ω Sd , s ⋅ b ⋅ d ⋅

f cd = 4,88cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

19

usvojeno: R503 As1=5,03 cm 2 /m

(gornja zona)

Oslonac: POS 205 – POS 208 i POS 205 – POS 213 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 30,00 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

30,00 ⋅ 100 = 0,106 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,114 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 5,68cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R636 As1=6,36 cm 2 /m

Oslonac: POS 206 – POS 210 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yd =

f yk

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

20

(gornja zona)

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 39,22 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

39,22 ⋅ 100 = 0,139 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,154 Potrebna površina armature: AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 7,68cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R785 As1=7,85 cm 2 /m

Oslonac: POS 210 – POS 211 i POS 211 – POS 212 Beton: C25/30 Armatura: B500 f 25 f cd = ck = = 16,67 MPa γ c 1,5 f yk

f yd =

=

500 = 434 ,78 MPa 1,15

γs zaštitni sloj betona: c=2,50 cm statička visina d=13,00 cm

Uobičajena (stalna) proračunska situacija: S d = ∑ (γ g ⋅ Gk ,i ) +(γ Q ⋅ Qk ,i ) + ∑ (γ Q ⋅ψ 0,i ⋅ Qk ,i ) + γ p ⋅ Pk i

i

MSd = 34,00 kNm µ Sd , s =

M Sd , s b ⋅ d ⋅ f cd 2

=

34,00 ⋅ 100 = 0,121 100 ⋅ 13 2 ⋅ 1,667

Iz tablica: ωSd , s =0,131 Potrebna površina armature:

21

(gornja zona)

AS 1 = ωSd , s ⋅ b ⋅ d ⋅

f cd = 6,53cm 2 / m1 f yd

Minimalna površina armature: AS 1, min = 0,6 ⋅

b ⋅d f yk

= 1,56 cm 2 / m1

AS 1,min = 0,0015 ⋅ b ⋅ d = 1,95cm 2 / m1

usvojeno: R785 As1=7,85 cm 2 /m

(gornja zona)

Konstruktivna armatura po obodu ploče u gornjoj zoni usvaja se 30% do 50% armature iz polja, tj 0,5·5,03=2,515 cm 2 Usvojeno: R196

22