pport B is tled by 5mm and support C tled by 2mm, by using the ment distribution method, d the following. ke (E=2*105N/mm²) and (I= 106 mm) 1. Fixed end moment of AB (MFAB) is: a)-13.33 kM.m c) -7.33 kM.m 2. Fixed end moment of CB (MFCB) is: a) KCD = 4EI L = ΕΙ 21 10 kN/m b) Ксо -4.0m- a) 13.6 kM.m b) 6.4 km.m c) 3.6 kM.m d) 10 kM.m . The modified stiffness of member CD (KcD) is equal to 3EI El = b)-19.33 kM.m d) -6.33 kM.m F d) KCD = B 3EI 21 -2m- c)KCD 4. For the 2nd cycle, the carry-over moment of CD is equal to a)-0.16 kM.m b) +0.16 kM.m c) +0.65 kM.m d) +0.06 kM.m 5. The final moment of member BC after 3rd cycle is: a) +8.22 kM.m b)-8.22 kM.m c) +8.62 kM.m d)-8.62 kM.m 20 kN El -2m- C 10 kN + 痧 fimp ΕΙ -3m-

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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the continuous beam
shown in Fig., if the support B is
settled by 5mm and support C
settled by 2mm, by using the
moment distribution method,
find the following.
Take (E=2*105N/mm²) and (I=
16*106 mm)
1. Fixed end moment of AB (MFAB) is:
a)-13.33 kM.m
c) -7.33 kM.m
2. Fixed end moment of CB (MFCB) is:
a) KCD
=
c)KCD:
=
a) 13.6 kM.m
b) 6.4 km.m
c) 3.6 kM.m
d) 10 kM.m
3. The modified stiffness of member CD (KcD) is equal to
4EI
EI
21
10 kN/m
b) KCD
El
-4.0m-
d) KCD
b)-19.33 kM.m
d) -6.33 kM.m
=
=
B
3EI
ī
-2m-
3EI
21
20 kN
↓
EI
+
4. For the 2nd cycle, the carry-over moment of CD is equal to
a)-0.16 kM.m
b) +0.16 kM.m
c) +0.65 kM.m
d) +0.06 kM.m
5. The final moment of member BC after 3rd cycle is:
a) +8.22 kM.m
b)-8.22 kM.m
c) +8.62 kM.m
d) -8.62 kM.m
-2m-
C
10 kN
T
FFF
Timp
ΕΙ
-3m-
D
Transcribed Image Text:the continuous beam shown in Fig., if the support B is settled by 5mm and support C settled by 2mm, by using the moment distribution method, find the following. Take (E=2*105N/mm²) and (I= 16*106 mm) 1. Fixed end moment of AB (MFAB) is: a)-13.33 kM.m c) -7.33 kM.m 2. Fixed end moment of CB (MFCB) is: a) KCD = c)KCD: = a) 13.6 kM.m b) 6.4 km.m c) 3.6 kM.m d) 10 kM.m 3. The modified stiffness of member CD (KcD) is equal to 4EI EI 21 10 kN/m b) KCD El -4.0m- d) KCD b)-19.33 kM.m d) -6.33 kM.m = = B 3EI ī -2m- 3EI 21 20 kN ↓ EI + 4. For the 2nd cycle, the carry-over moment of CD is equal to a)-0.16 kM.m b) +0.16 kM.m c) +0.65 kM.m d) +0.06 kM.m 5. The final moment of member BC after 3rd cycle is: a) +8.22 kM.m b)-8.22 kM.m c) +8.62 kM.m d) -8.62 kM.m -2m- C 10 kN T FFF Timp ΕΙ -3m- D
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