CSI SAP2000 - Manuale Verifiche

8/18/2019 CSI SAP2000 - Manuale Verifiche

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k


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k


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Ω


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P M 2 M 3

M 3 V 2


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M 3 V 2 T


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∆

δ

∆

δ


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Lii = lii · kii · L

Lii lii

kii

L

lii kii

kii

kii l k

kii


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k

k

k

k

k

k

k

k

k

S cx =E c I c

Lc

x

S bx =E b I b

Lb

x

S cy =

E c I cLc

y

S by =

E c I cLc

y

x

y

X

Y

c

b

EI 22/L22 EI 33/I 33

X Y (EI/L)x (EI/L)y

G

GI 22 = S I c22

S I

b22

GJ 22 = S J c22

S J

b22

GI 33 = S I c33S I b33

GJ 33 = S J c33S J b33

10.0

G 1.0 GI GJ


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k

α

α

2

G

I

G

J

− 366 (GI + GJ ) = αtan α

k = π/α

k

k

k

EI

G G

k

k

k

k

k

k

k


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Ac mm2

Ag mm2

Ak mm2

As mm2

As mm2

Asl mm2

At/s mm2/mm

Asw/s mm2/mm


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E c M P a

E s 200000M P a

I g mm4

M 01 N mm

M 02 N mm

M Ed

N mm

M 0Ed N mm

M 2 N mm

M 22 N mm

M 33 N mm

N B N

N Ed N

T Ed N mm

V Ed N

V Rd,c

N V Rd,max N

a

mm

amax mm

b mm

bf mm

bw mm

d

mmd mm

ds mm

e2 mm

ei mm


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emin mm

f cd M P a

f ctm M P a

f yd M P a

h mm

l0 mm

lu mm

r

mm

tef

mmu

mm

uk Ak mm

x

mm

αcc

αct

αlcc

αlct

c

cu2 0.0035mm/mm

s

γ c

γ s

λ

η

θ


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θi

θ0

GP a


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j≥1

γ G,jGk,j + γ P P + γ Q,1Qk,1 +i>1

γ Q,iψ0,iQk,i

j≥1

γ G,jGk,j + γ P P + γ Q,1ψ0,1Qk,1 +i>1

γ Q,iψ0,iQk,i

j≥1

ξ jγ G,jGk,j + γ P P + γ Q,1Qk,1 +i>1

γ Q,iψ0,iQk,i

j≥1

Gk,j + P + AEd +i≥1

ψ2,iQk,i

γ G,supD

γ Gsup

D + γ Q

L

γ G,sup ± γ QW γ G,inf ± γ QW

γ G,sup + γ QL ± γ Qψ0,W W γ G,sup + γ Qψ0,LL ± γ QW


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γ G,supD

ξγ G,supD

γ GsupD + γ Qψ0,LL

ξγ GsupD + γ QL

γ G,sup ± γ Qψ0,W W γ G,inf ± γ Qψ0,W W ξγ G,sup ± γ QW γ G,inf ± γ QW

γ G,sup + γ Qψ0,LL ± γ Qψ0,W W ξγ G,inf + γ QL ± γ Qψ0,W W ξγ G,inf + γ Qψ0,LL ± γ QW

D ± E D + ψ2,LL ± E

γ G,sup

= 1.35

γ G,inf = 1.00

γ Q = 1.5

ψ0,L = 0.7

ψ0,W = 0.3

ξ = 0.85

ψ2,L = 0.3


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sE s f yd

ηf cd λx


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η

η = 1.0 f ck ≤ 50MP a

η = 1.0 − (f ck − 50)200 50 < f ck ≤ 90MP a

λ

λ = 0.8 f ck ≤ 50MP a

η = 0.8 − (f ck − 50)400

50 < f ck ≤ 90MP a

a = λx

x

γ c γ s αcc αct αlcc αlct

N Ed M 22 M 33


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N Ed M 22 M 33

ei

ei = θil02

l0 θi

θi = θ0αhαm

θ0

αh = 2/√

l

l

αm = 0.5(1 + 1/m)

m

ei ≥ emin = h/30 ≥ 20mm

h

M 22 = M 22 + ei2N Ed

M 33 = M 33 + ei3N Ed


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∆

M Ed = M 0Ed

1 + β N B

N Ed− 1

M 0Ed M 0Ed = 0.6M 02 + 0.4M 01

≥ 0.4M 02

M 01 M 02

|M 02| ≥ |M 01|

β = π2

c0

c0


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N B = π2EI

l20

EI = 0.3E cI g

E c

I g

l0

M Ed = M 0Ed + M 2

M 0Ed M 0Ed = 0.6M 02 + 0.4M 01 ≥ 0.4M 02

M 2 = N Ede2

N Ed

e2 =

1

r

l202

1

r = K rK φ

1

r0

K r


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K φ

1

r0=

yd

0.45d

K φ

N Ed M Ed2 M Ed3

OL/OC ≤ 1


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N Ed V Ed

V Rd,c

V Rd,max

Asw/s


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bw d

Ac bwd

bw D

d 0.8D Ac πD2/4

bw d

N Ed V Ed

N Ed V Ed

V Rd,c = C Rd,ck (100ρlf ck)1/3 + k1σcp bwd

V Rd,c = (ν min + k1σcp) bwd

f ck M P a k ρl σcp

k = 1 +

200

d ≤ 2 d mm

ρl = Asbwd

≤ 0.02

σcp = N EdAc


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V Ed V Rd,max

V Ed

V Rd,max = αcwbwzν 1f cd

1

cot θ + tan θ

αcw

ν 1 = 0.6

1 − f ck

250

z = 0.9d

θ

V Ed V Rd,c V Rd,max

Asw/s

Asws

= V Ed

zf ywd cot θ

Asw/s


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M 3

V 2 T M 2

λx ηf cd

λ = 0.8 f ck ≤ 50M P a

η = 0.8 − (f ck − 50)400

50 < f ck ≤ 90MP a


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η = 1.0

f ck ≤ 50M P a

η = 1.0 − (f ck − 50)200

50 < f ck ≤ 90M P a

γ c γ s

αcc αct αlcc αlct

(x/d)lim

xdlim

= δ − k1k2 f ck ≤ 50M P a xd

lim

= δ − k3

k4

50 < f ck ≤ 90M P a

k1 = 0.44

k2 = 1.25

0.6 + 0.0014cu2

k3 = 0.54

k2 = 1.25

0.6 +

0.0014

cu2

cu2 = 0.0035 f ck ≤ 50M P a

cu2 = 2.6 + 35

(90 − f ck)

100

4

50 < f ck ≤ 90M P a

δ

δ =1

m


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mlim

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CSI SAP2000 - Manuale Verifiche