2. (a) Figure Q2(a) shows a rigid-jointed frame ABCDE with respective flexural rigidity (E/) indicated along the members. The frame is subjected to an axial force P at B. (i) Plot the buckled shape of the frame and estimate the effective length factor ke of column BE. Simplify the frame into a column with an equivalent flexural spring stiffness at B and E. (ii) Establish a second-order differential equation for column BE. Apply appropriate boundary conditions and obtain the governing equation for column BE. Hence obtain the effective length factor ke for column BE. Please explain if this value of ke is reasonable. (13 Marks) 0.5L 0.5L त्र 0.5EI A B 0.5El C 199 ΕΙ D 1.5EI E ポ L 키 Figure Q2(a) k L

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Chapter10: Plate Girders
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Problem 10.7.9P
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2. (a)
Figure Q2(a) shows a rigid-jointed frame ABCDE with respective flexural
rigidity (E/) indicated along the members. The frame is subjected to an axial
force P at B.
(i) Plot the buckled shape of the frame and estimate the effective length
factor ke of column BE. Simplify the frame into a column with an
equivalent flexural spring stiffness at B and E.
(ii) Establish a second-order differential equation for column BE. Apply
appropriate boundary conditions and obtain the governing equation for
column BE. Hence obtain the effective length factor ke for column BE.
Please explain if this value of ke is reasonable.
(13 Marks)
0.5L
0.5L
त्र
0.5EI
A
B
0.5El
C
199
ΕΙ
D
1.5EI
E
ポ
L
키
Figure Q2(a)
k
L
Transcribed Image Text:2. (a) Figure Q2(a) shows a rigid-jointed frame ABCDE with respective flexural rigidity (E/) indicated along the members. The frame is subjected to an axial force P at B. (i) Plot the buckled shape of the frame and estimate the effective length factor ke of column BE. Simplify the frame into a column with an equivalent flexural spring stiffness at B and E. (ii) Establish a second-order differential equation for column BE. Apply appropriate boundary conditions and obtain the governing equation for column BE. Hence obtain the effective length factor ke for column BE. Please explain if this value of ke is reasonable. (13 Marks) 0.5L 0.5L त्र 0.5EI A B 0.5El C 199 ΕΙ D 1.5EI E ポ L 키 Figure Q2(a) k L
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