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. Member AB has a cross section property of 2EI while the rest of the members have a cross section property of EI. 3 m (i) 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. D B 20 KN EI 2EI A 5666958 30 kN 2 m EI EI 10 kN/m 3 m 2 m 30 kN 2 m 5 kN.m 3 m FIGURE Q1 MAANAN E с

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter10: Plate Girders
Section: Chapter Questions
Problem 10.7.9P
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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.
D
B
20 KN
EI
2EI
A
30 kN
2 m
EI
EI
10 kN/m
3 m
2 m
30 kN
2 m
5 kN.m
3 m
FIGURE Q1
E
C
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. D B 20 KN EI 2EI A 30 kN 2 m EI EI 10 kN/m 3 m 2 m 30 kN 2 m 5 kN.m 3 m FIGURE Q1 E C
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