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강도계수(Stiffness Factor : K)
분배율(Distribution Factor : DF)
전달율(Carry-over Factor : C)
고정단 모멘트(FEM)
기본 용어
(1) 강도계수(K) 와 전달율(C)
22 3
22 3
i j
i j
i i
j j
EIM FEM
L L
EIM FEM
L L
i
4i
EI
L
2i
EI
L
4
1
2
EIK
L
C
처짐각 방정식
(2) 분배율(D)
E EA EB EC ED
EA EB EC ED E
E E
EE
E
M M M M M
K K K K
K
M
K
4
4
4
4
EA EA E E
EA
EB EB E E
EB
EC EC E E
EC
ED ED E E
ED
EIM K
L
EIM K
L
EIM K
L
EIM K
L
EM
E
E
E
E
분배율(DF)
EMEA EA E E
EB EB E E
EC EC E E
ED E
EA
E
EB
E
EC
E
D E EED
E
M K M
M K M
M K M
M K M
K
K
K
K
K
K
K
K
E
E
E
E
절점 A B C
부재 AB BA BC CB
강도계수(K) 4EI/20=60 4EI/20=60 4EI/15=80 4EI/15=80
분배율(DF) - 60/(60+80)=3/7 80/(60+80)=4/7 -
전달율(C) - 1/2 1/2 -
Let, 300EI
EI=Constant
FEM -50(20)/8=-125 50(20)/8=125 0 0
분배(D) -125(3/7)=-53.6 -125(4/7)=-71.4
전달(C) -53.6/2=-26.8 - - -71.4/2=-35.7
분배(D)
합계 -151.8 71.4 -71.4 -35.7
+
EI=Constant
합계 -151.8 71.4 -71.4 -35.7
+
138.4 35.7
부재 AB BA BC CB
50(20) 151.8 71.4
4 2 2
- 151.8
- 71.4
10 ft 10 ft
EI=Constant
절점 A B C
부재 AB BA BC CB
강도계수(K) 4EI/25=4 4EI/25=4 4EI/25=4 4EI/25=4
분배율(DF) 1 4/(4+4)=1/2 4/(4+4)=1/2 -
전달율(C) 1/2 1/2 1/2 -
Let, 25EI
FEM -4(25)2/12=-208.33 4(25)2/12=208.33 0 0
분배(D) 208.33 -208.33/2=-104.17 -208.33/2=-104.17
전달(C) -104.17/2=-52.09 208.33/2=104.17 - -104.17/2=-52.09
분배(D) 52.09 -104.17/2=-52.09 -104.17/2=-52.09
합계 0 178.11 -178.26 -88.74
전달(C) -52.09/2=-26.05 52.09/2=26.05 - -52.09/2=-26.05
분배(D) 26.05 -26.05/2=-13.03 -26.05/2=-13.03
전달(C) -13.03/2=-6.52 26.05/2=13.03 - -13.03/2=-6.52
분배(D) 6.52 -13.03/2=-6.52 -13.03/2=-6.52
전달(C) -6.52/2=-3.26 6.52/2=3.26 - -6.52/2=-3.26
분배(D) 3.26 -3.26/2=-1.63 -3.26/2=-1.63
전달(C) -1.63/2=-0.82 3.26/2=1.63 - -1.63/2=-0.82
분배(D) 0.82 -1.63/2=-0.82 -1.53/2=-0.82
+
EI=Constant
절점 A B C
부재 AB BA BC CB
합계 0 178.11 -178.26 -88.74
+
223.37 88.74
24(25 ) 178.26
8 2
- 178.26 12.5 ft 12.5 ft
EI=Constant
절점 A B C
부재 AB BA BC CB
(수정)강도계수 (K, K’)
3EI/25=3 4EI/25=4 4EI/25=4
분배율(DF) 3/(3+4)=3/7 4/(3+4)=4/7 -
전달율(C) 0 1/2 -
Let, 25EI
FEM 0 208.33+208.33/2 = 312.5
0 0
분배(D) -312.5(3/7)= - 133.93 -312.5(4/7)= - 178.57
전달(C) 0 -178.57/2 = - 89.28
분배(D)
합계 0 178.57 -178.57 -89.28
+