Figure Q1 shows a frame which is fixed at the base A, pinned at C and fixed at the wall E. The frame is subjected to a horizontal point load of 20 kN at mid- height of member AB, a uniformly distributed load of 10 kN/m along member BC, a moment load of 5 kNm at mid-span of BC, and two vertical point loads of 30 kN each on member DE. Member AB has a cross section property of 2EI while the rest of the members have a cross section property of EI. (i) Calculate the degree of indeterminacy of the frame. (ii) Analyze the frame by using the Moment Distribution method.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The subject is theory of structures
›)
3 m
Figure Q1 shows a frame which is fixed at the base A, pinned at C and fixed at
the wall E. The frame is subjected to a horizontal point load of 20 kN at mid-
height of member AB, a uniformly distributed load of 10 kN/m along member
BC, a moment load of 5 kNm at mid-span of BC, and two vertical point loads
of 30 kN each on member DE.
3 m
Member AB has a cross section property of 2EI while the rest of the members
have a cross section property of EI.
(1) Calculate the degree of indeterminacy of the frame.
(ii) Analyze the frame by using the Moment Distribution method.
4 m
(iii) Draw the shear force and bending moment diagrams for member AB and
BC of the frame only. Indicates all important values on both diagrams.
30 kN
D
B
20 KN
2EI
A
2 m
EI
EI
10 kN/m
3 m
2 m
30 kN
2 m
5 kN.m
3 m
FIGURE Q1
€55545
E
Transcribed Image Text:›) 3 m Figure Q1 shows a frame which is fixed at the base A, pinned at C and fixed at the wall E. The frame is subjected to a horizontal point load of 20 kN at mid- height of member AB, a uniformly distributed load of 10 kN/m along member BC, a moment load of 5 kNm at mid-span of BC, and two vertical point loads of 30 kN each on member DE. 3 m Member AB has a cross section property of 2EI while the rest of the members have a cross section property of EI. (1) Calculate the degree of indeterminacy of the frame. (ii) Analyze the frame by using the Moment Distribution method. 4 m (iii) Draw the shear force and bending moment diagrams for member AB and BC of the frame only. Indicates all important values on both diagrams. 30 kN D B 20 KN 2EI A 2 m EI EI 10 kN/m 3 m 2 m 30 kN 2 m 5 kN.m 3 m FIGURE Q1 €55545 E
Table of Fixed End Moment:
(FEM)=
F
(FEM) AB=
1/14
(FEM)AB= 2PL
(FEM)=15PL
48
(FEM) AB =
P
[I
4/1
11w2²
(FEM)AB 192
P
+
(FEM)BA-P
P
(FEM)=
(FEM) A
LL
2PL
(FEM) ISPL
48
(FEM)BA=
W2²
Swt.2
(FEM)4 192
=
(FEM) AB
3PL
16
GE
-L
(FEM) Aa=b²a + ²b
(FEM) =
(FEM)=45PL
96
(FEM)YAR = ²
(₁
9wL²
(FEM) AB 128
P
P
+
P
b
Transcribed Image Text:Table of Fixed End Moment: (FEM)= F (FEM) AB= 1/14 (FEM)AB= 2PL (FEM)=15PL 48 (FEM) AB = P [I 4/1 11w2² (FEM)AB 192 P + (FEM)BA-P P (FEM)= (FEM) A LL 2PL (FEM) ISPL 48 (FEM)BA= W2² Swt.2 (FEM)4 192 = (FEM) AB 3PL 16 GE -L (FEM) Aa=b²a + ²b (FEM) = (FEM)=45PL 96 (FEM)YAR = ² (₁ 9wL² (FEM) AB 128 P P + P b
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