mathcad - armare fundatie pe piloti franki

7
n 8 := Incarcari : P 3500 150 n + ( )kN := M 700 70 n + ( )kN m := T 200 6n + ( )kN := P 4700kN = M 1260kN m = T 248kN = Pilot cu sectiune rotunda: p_o 52cm := Stratificatia terenului de fundare: I c 0.28 0.01 n + := I c 0.36 = Limita γ(kN/mc) E Ic 1 1 0 2 -1 -3 3 -3 -9 4 -9 -50 0.36 Strat 200 40 300 Praf argilos Nisip mediu indesat 17 Umplutura Argila Lc-0.7 Piloti Franki: R iz P v P 1 + = m 1 1 := m 2 m 1 := k 0.7 := m 2 1 = S fi..li 584.4166 kN m := A p_o 2 4 := U 2 p_o := p v 4000 kN m 2 := A 0.212 m 2 = U 3.267 m =

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Fundatie piloti - calcul armare piloti

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Page 1: Mathcad - Armare Fundatie Pe Piloti Franki

n 8:=

Incarcari :

P 3500 150 n+( )kN:=

M 700 70 n+( )kN m:=

T 200 6 n+( )kN:=

P 4700kN=

M 1260kN m=

T 248kN=

Pilot cu sectiune rotunda:

ϕp_o 52cm:=

Stratificatia terenului de fundare:

Ic 0.28 0.01 n+:=

Ic 0.36=

Limita γ(kN/mc) E Ic1 1

02 -1

-33 -3

-94 -9

-50

0.36

Strat

200

40

300

Praf argilos

Nisip mediu indesat

17Umplutura

Argila Lc-0.7

Piloti Franki:

Riz Pv P1+= m1 1:= m2 m1:=

k 0.7:= m2 1=

Sfi..li 584.4166kNm

:=Aϕp_o

2 π

4:= U 2 π ϕp_o:=

pv 4000kN

m2:=

A 0.212 m2= U 3.267 m=

Page 2: Mathcad - Armare Fundatie Pe Piloti Franki

Riz k m1 pv A m2 U Sfi..li+( ):=

li_max 2m:=

Lp 15m:=

Strat Strat elementar Adancime Ic f.i fi*li PvII 1 2.5 0.7 32.5 16.25III 2 4 0.36 7.4 14.8III 3 6 0.36 8.9 17.8III 4 8 0.36 9.733 19.466IV 5 10 65 130IV 6 12 67.8 135.6IV 7 14 70.6 141.2IV 8 15.5 72.7 109.05

584.166 4000

Riz 1931.248 kN=σaδμ 100

daN

cm2:=Rb A σaδμ:=

Rb 2123.717 kN=

Riz Rb<

Calculul numarului de piloti si stabilirea dimensiunilor radierului:

np 4>

npc1.3PRiz

1pilot+:=

npc 4.164=

np 6piloti:=

tm 1.5 ϕp_o:=

tm 0.78 m=

tix. 4.5 ϕp_o:= tiy. 3 ϕp_o:=

tix. 2.34 m= tiy. 1.56 m=

x1 2.34- m:= x2 x1:=

x4 0:= x3 0:=

Page 3: Mathcad - Armare Fundatie Pe Piloti Franki

x6 2.32m:=

x5 x6:=

x1 2.34- m= x4 0=

x2 2.34- m= x5 2.32 m=

x3 0= x6 2.32 m=

L. 2 tm 2 tix.+:= B. 2 tm tiy.+:= L 6.3m:=

L. 6.24 m= B. 3.12 m= B 3.2m:=

H1. 0.35 L:= H2.H1.2

:=

H1. 2.205 m= H2. 1.102 m= H1 2.2m:= H2 1.1m:=

Stalpul are dimensiunile:

ϕp_o 0.52 m=

Calculul grupei de piloti:

Df 2.5m:= γµ 20kN

m3:=N P B L Df γµ+:=

N 5708 kN=

M0 M T Df+:= Sxi x12 x2

2+ x5

2+ x6

2+:=

np 6=M0 1880 kN m=

Sxi 21.716 m2=S1

N

np

M0 x1

Sxi+:=

S1 748.755 kN= S3N

np:= S4

N

np:=

S2N

np

M0 x2

Sxi+:= S3 951.333 kN=

S4 951.333 kN=

S2 748.755 kN=S6

N

np

M0 x6

Sxi+:=

S5N

np

M0 x5

Sxi+:=

S6 1152.181 kN=

S5 1152.181 kN=

Page 4: Mathcad - Armare Fundatie Pe Piloti Franki

S1 Smin> Smin 0:= mu 1:=

S6 Rg< Rg mu Riz:=Sor

T

np:= Sor 41.333 kN=

Rg 1931.248 kN=

Capacitatea portanta a pilotului izolat la solicitari orizoontale:

m 0.7:=

ϕ 16mm:=lo 4 ϕp_o:= lo 2.08 m=

Ra 300N

mm2:= A7ϕ16

7ϕ2 π4

:=

a 35mm:= A7ϕ16 1407.434 mm2=

Roriz m K Pu= A 0.212 m2=

Mcap 203kN m:=

Ro 0.7 0.7Mcap

lo:=

Ro 47.822 kN=

Sor Ro< aleg 7f16

Verificarea la solicitari axiale:

Ro 47.822 kN=

Sor 41.333 kN=

Sor Ro<

Verificarea la strapungere:

L 6.3 m= B 3.2 m=

H1 2.2 m= H2 1.1 m=

tm 0.78 m=

tix. 2.34 m=

tiy. 1.56 m=

Page 5: Mathcad - Armare Fundatie Pe Piloti Franki

U 3.267 m=Rt 0.9N

mm2:=

Hx 176.7cm:=

Si_cr Rt U Hx:=

ls 50cm:=Si_cr 5195.918 kN=

h0 210cm:= Pcr 2 h0 4 ls+:=

Sext S1 S2+ S5+ S6+:= Pcr 6.2 m=

Sext 3801.87 kN=

Siex Pcr Hx Rt 0.75:=

Siex 7394.895 kN=

Sext Siex< Sext Si.cr<

210

171,

7

171.5 171.5

630

320

Page 6: Mathcad - Armare Fundatie Pe Piloti Franki

Armarea radierului:

630

320

2

1

1Y

2

X

SECTIUNEA 1-1:

ϕ 22mm:=lx 237cm:=Mx 2 S6 lx:=ly 82cm:=My ly S1 S3+ S6+( ):= Aϕ22

ϕ2 π4

:=

Mx 5461.336 kN m=Aϕ22 380.133 mm2

=My 2338.86 kN m=

h0 2.1 m=

Aa_nec_xMx

0.85 h0 Ra:=

Aa_nec_x 10198.574 mm2=

Aaef 32 Aϕ22:=nr_bareϕ22 3bare:=

Aaef 12164.247 mm2=

Page 7: Mathcad - Armare Fundatie Pe Piloti Franki

Aleg 5f20/ml

ϕ 14mm:=

Aa_nec_yMy

0.85 h0 Ra:=

Aϕ14ϕ2 π

4:=

Aa_nec_y 4367.619 mm2= Aϕ14 153.938 mm2

=

Aa_nec_y 4367.619 mm2=

Aaef 32Aϕ14:=

Aaef 4926.017 mm2=nr_bareϕ14 32bare:=