ch07 shear wall design
TRANSCRIPT
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77
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7.17.1
35
L, T, I U
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22 (Independent shear
wall) (Couple shear wall)
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7.27.2
2
) (Flexural rigidity) 7.1()
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) (Flexural rigidity) 7.1()
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7.37.3
(Symmetric structure) 7.2 i Qi Mi
( )( ) ......(7.1)
jiji i
i
EIQ Q
EI=
( )( ) ......(7.2)
jiji i
i
EIM M
EI=
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Qi Mi i
Qji Mji j i
(EI)ji j i(EI)ji i
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(Asymmetric structure) 7.3
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7.4
( )( ) ......(7.3)
j i
i
EIxx
EI=
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(EI)i (flexural rigidity)(EIxj)i
x
( )( )
( )( )2 ......(7.4)
i iji jiji
i i
Q EI Q e EI cQ
EI EI c
= + ( )( )
( )( )2 ......(7.5)
i iji jiji
i i
M EI M e EI cM
EI EI c
= + cji j
e
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7.47.4
2.7 ' un cVV f hd =
ACI 318-99 1.
Vn = , .Vu = , . = 0.85h = , .d = , .
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0.88 '4u
c cw
N dV f hdt
= +
2.
Nu = (.)
0.33 ' 0.20.16 '
2
uw c
wc c
u w
u
Nt ft h
or V f hdM tV
+ = +
2u w
u
M tV
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n cV V>
3.
s n cV V V= v y
s
A f ds
V=
Vc = , . 2)
Vs = , .fy = , ./.Av = , ..s = lw/5 3h 45 .
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2c
nVV 0.0025h =
h =
( )0.0025 0.5 2.5 0.0025 = +
wh h
w
hl
h = 0.0025
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lw/3 3h 45 .4.
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10 4.0 . Proportionate Shear Wall = 550 kg/m 6 . 1
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1, 5: 8.0x0.2 . 8,533 .4 2, 4: 4.0x0.2 . 1,067 .4 3: 5.0x5.0x0.2 . 14,771 .4 : fc = 250 ksc. : fy = 4,000 ksc.
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( )( )
( )( )
( )( )
( )( )
( )( )
( )( )
( )( )
8.5331: 0.25
8.533 2 1.067 2 14.771
1.0672 : 0.03
8.533 2 1.067 2 14.771
14.7713: 0.44
8.533 2 1.067 2 14.771
8.1:
i jiji i i
i
i jiji i i
i
i jiji i i
i
i jiji i
i
Q EI EWall Q Q Q
EI E x x
Q EI EWall Q Q Q
EI E x x
Q EI EWall Q Q Q
EI E x x
M EI EWall M M
EI
= = =+ +
= = =+ +
= = =+ +
= = ( )( )( )
( )( )
( )( )
( )( )
( )
5330.25
8.533 2 1.067 2 14.771
1.0672 : 0.03
8.533 2 1.067 2 14.771
14.7713: 0.44
8.533 2 1.067 2 14.771
i
i jiji i i
i
i jiji i i
i
ME x x
M EI EWall M M M
EI E x x
M EI EWall M M M
EI E x x
=+ +
= = =+ +
= = =+ +
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1 G-1
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Vu = 1.3Q11 = 1.3(43.20) = 56.16 Mu = 1.3M1G = 1.3(1,038.72) = 1350.34 Nu = 1.4DL + 1.7LL
= (6.0x16.0x10)(1.4(550) + 1.7(300))
= 1,228.80
2.7 ' un cVV f hd =
d = 0.8lw = 0.8(800) = 640 .( )( ) ( )2.7 250 20 640 56.16546.44 66.07
1000 0.85nV ton ton= = > =
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20 .
( )( ) ( )31,228.80 10 640 10.88 250 20 640 423.86
4 800 1,000cx xV ton
= + =
2.
( )( )31,228.80 10800 0.33 250 0.2
800 20 10.16 250 20 6401,350.34 100 800 1,00056.16 2
137.51
c
c
xx
or V x
V ton
+ = + =
137.51
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137.51 68.755 66.072 2cV ton ton= = >
3.
0.0025h =
( )( ) 20.0025 20 100 5.0 .hA cm= = DB10@30 cm. (2 )
lw/5 3h 45 .
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( )4000.0025 0.5 2.5 0.0025
800n h = +
h = 0.0025 n = 0.0025 DB10@30 cm. (2 )
4. 2
21 1 1 ny
mMm f bd
=
( )4,000 18.82
0.85 250m = =
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( )( )( )( )( )( )
5
2
2 18.82 1,350.34 101 1 1 0.004818.82 0.9 4,000 20 640
= =
min14 0.00354,000
= =
( )( ) 20.0048 20 640 61.44 .sA cm= = 10DB28
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77.1 2 7.2 ) (Flexural rigidity) 7.3 7.4