8 aluminum structures

7/24/2019 8 Aluminum Structures

1/31

A l u m i n u m St r u c t u r e s

C o

8 n

8 n

Sh


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T

3


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Fpw= Fn Aw

A(Fn Fw)

Fpw =

Fn =


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a

b

b

a

b

Fw = A =

Aw =

Fc = Bc DcKL

r

KL

r Cc

Fc =2E

(KL/r)2

KL

r> Cc

Fc = L =

r = K =

E =

Bc, Dc, Cc =

Bc = Fcy1 +

Fcy

1000

1/2

Dc =Bc

20

6Bc

E

1/2

Cc =2Bc

3Dc

Bc = Fcy1 +

Fcy

2250

1/2

Dc =Bc

10

Bc

E

1/2


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Cc = 0.41Bc

Dc

Fcy

=

1

c

y

21

c

x

21

c

2

yo

ro

2 1

c

x

2

xo

ro

2 1

c

y

2= 0

c = x , y = x y

xo, yo =

ro = [(Ixo + Iyo )/A]1/2Ixo , Iyo = =

= Ix+ Iy

3J

82+ Cw

(KL)2

J =

Cw = K = L =

Ix , Iy =


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M= ZS F

M= S = F = Z =

Ky

Ku

b/t 0.30(E/Fcy )1/2

L/ry 1.2(E/Fcy )1/2

L/ry 2.2(E/Fcy )1/2

b/t 0.45(E/Fcy )1/2

b/t 1.13(E/Fcy )1/2

D/t 2.0(E/Fcy )1/2


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KL/r

b= 1.4Lb

Iy dCbSc

1.0 + 0.152J

Iy

Lbd

2

b= 1.4Lb

Iy dCbSc

0.5 +1.25+ 0.152JIy Lbd 2

b =

Cb = = 12.5Mmax/(2.5Mmax+3MA +4MB+ 3MC )

Mmax =

MA =

MB =

MC =

d

=

Iy =

Sc =

J =

Cb


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faFao

+ fbFb

1.0

faFa

+ Cb fbFb (1.0fa /Fe) 1.0

fa =

fb =

Fa =

Fb =

Fao =

Fe

= 2E/(KL/r)2

Kpb/t,

Fp= Bp Dp Kp btKp b

t Cp

Fp= 2E

(Kp b/t)2 Kp

bt

> Cp

Fp =

b =

t =

Kp =

Bp, Dp, Cp=

Kp

Kp


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Bp =

Fcy 1 + Fcy

1/3

7.6

Dp =Bp

20

6Bp

E

1/2

Cp =2Bp

3Dp

Bp= Fcy1 + (Fcy)

1/3

11.4

Dp= Bp10

BpE

1/2

Cp= 0.41Bp

Dp

Cp

Bp

Dp

Bp= 1.3Fcy1 + (Fcy )

1/3

7

Dp= Bp206Bp

E

1/2

Fcr= k2

BpE

Kpb/t

b/t >k1Bp

KpDp

Fcr =

Bp, Dp =

k1, k2 =

k1=

k2=

k1=

k2=


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P

=

t2(N+ 5.4)(sin)(0.46Fcy+ 0.02EFcy )

0.4 + r(1 cos)

P =

N = Fcy =

E = r = t =

=

P= 1.2t2(N+ 1.3)(sin)(0.46Fcy+ 0.02

EFcy

0.4 + r(1 cos)

M

Mu

1.5+

P

Pu

1.5 1.0

M =

P =

Mu =

Pu =

=

Ip

3/8J+ 2CwK /E

=

Ip = Ixo + Iyo=

4

Ixo , Iyo =

4

K =

J = 4


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Cw = b2(Iyc bt3/12) = 6Iyc =

4

E = b = t =

=4N b

3t 1 + As /bt

1 +1 + 32Ie/3t3b

=

N = b =

t =

Ie =

b

4

As= 2

s/ h 0.4

Is=0.46V h2

E(s/h)

s/h > 0.4

Is=0.073V h2

E(h/s)

Is =

4

s =

h =

V = E =


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Ft = Bt Dt

R

t

R

t Ct

Ft =2E

16(R/t)1 +

R/t

35

2 Rt > Ct

Ft =

R = t = Ct=

Bt

Dt

Bt = Fcy1 + F

1/5cy

5.8

Dt =Bt

3.7

Bt

E

1/3

Bt = Fcy1 + F

1/5cy

8.7

Dt =Bt

4.5

Bt

E

1/3


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Fcy =

R/t

Ftb= Btb Dtb

R/t R/t Ctb

Ftb = R =

t =

Ctb = [(Btb Bt)/(Dtb Dt)]2

Btb Dtb

Btb = 1.5Fy 1 + F1/5y5.8

Dtb =Btb

2.7

Btb

E

1/3

Btb = 1.5Fy1 + F

1/5y

8.7

Dtb =Btb

2.7

Btb

E

1/3

Fy =


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Ftu= =

Fty= =

R/t= (4.0 0.313)/(0.313)= R/t

(Cbt )

Ftb= (0.85)(1.33)(45.7 2.8

(R/t))/1.65 = 24.7


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KL/r= (1.0)(48)/1.37 = 35.0

(KL/r

Cc)

Fc= (1.33)(39.4 0.246(35.0))/2.20 = 18.6

Fc= (1.33)(20)/1.85) = 14.4

Fc= (1.33)[22.8 (1.0)(35.0)(0.133)]/2.20 = 11.0


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2

0.50

1.0

=

2

P= (58)(0.50)/1.85 = 15.7

P= (88)(0.50)/2.64 = 16.7

P= (2)(.785)(25)/2.64 = 14.9

F= 33/1.85 =

F= 46/2.2 =

S= 130N.207 =

N=


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=

P = (0.90)(0.032)2(2.0 + 5.4)(0.866)(0.46 14.0 + 0.02(10100 14.0)1/2)

0.4 + 0.032(1 0.5)= 0.198

b/t

b/t

Bp

Dp

Kp

Fcr= (0.85)(2.04)(18.4 10100)1/2/(1.6)(62.5) = 7.5

h/t

Bp

Dp

Kp

Fp= (0.85)(24.5 (0.67)(.147)(35)) = 17.9


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F= [(2.0)t (7.5) + (2)(1.12)t (0.187)(17.9)]/(2.0 + 0.374)t= 9.5


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8 aluminum structures

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