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Structural Analysis-II
CEE-317
(2.0 credits)
Lecture: 1
Bijit Kumar Banik
Assistant Professor, CEE, SUST
Room No.: 115 (“C” building)
bijit_sustbd@yahoo.com
Department of Civil and Environmental Engineering
Moment Distribution Method
Syllabus
Deflection of Frame and Truss
Attendance 10%
Evaluation process
Class Test and/or Assignment 20%
Final Exam 70%
Total 100%
1. Structural Analysis
– R.C. Hibbeler
References
2. Analysis of Framed Structures
– Gere & Weave
3. Intermediate Stucture
– C.K. Wang
Exact methods of structural analysis
1. Moment distribution method
2. Slope deflection method
3. Column analogy method
4. Matrix method
i) Stiffness or displacement or equilibrium method
ii) Flexibility or Force or Compatibility method
Structural Idealization
d
L
Fig. Skeletal Structure
Fig. Idealized Structure
Fig. One dimensional idealization
When L/d >5 idealization can provide
Structural Idealization
When L>>b
L>>d
b
d
L
Fig. One dimensional idealization
The Moment Distribution Method
Latest !
1932, Hardy-cross
For hand calculation,
widely used (99% correct)
Hardy Cross, 1885–1959, Virginia, U.S.A
Sign Convention (V.V.I)
Clockwise moment → Positive
Anti-clockwise moment → Negative
For Drawing Diagrams
C
T
Positive
T
C
Negative
Fixed-end Moment
The moments developed at the ends of loaded beams with
both end fixed or built-in.
a
L-2a
L
aLPa )( −
L
aLPa )( −
P
Fixed-end Moment
a
L-2a
P
)2)((2
aLaL
L
Pa
−−)2)((2
aLaL
L
Pa
−−
(Both end not fixed !)
Basics
The process of moment distribution is based on the fact that
the moment acting on the end of a member is the algebraic
sum of four effects.
Moments due to:
1. Load on the member if the member is considered as a
fixed-end beam
2. The rotation of the near end while the far end is fixed
3. The rotation of the far end while the near end is fixed
4. The relative translation between the two ends of the
member
Stiffness and Carryover factors
Stiffness: The end moment required to produce a unit rotation
at one end of the member while the other end is fixed.
Carryover
Stiffness
Cee 317 (1)(structural analysis)

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Cee 317 (1)(structural analysis)