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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning