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A presentation
on
Estimation of moment force in tall building
Sequential Analysis
by Praveen Kumar BhannarwarM.Tech. ( structure) IVsem.
2008ST09
Under Guidance of : Prof. S.K. Duggal
Dr. Rama Shanker
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OVER VIEW INTRODUCTION
LITERATURE REVIEW
SEQUENTIAL AND SIMULTANEOUS ANALYSIS
PROBABLE STRUCTURAL PARAMETER
NUMERICAL STUDY
NEURAL NETWORK TRAINING AND VALIDATION
APPLICATION
CONCLUSION
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INTRODUCTION
Invariably the buildings are subjected to two type of vertical
load: Live load and dead load. This mode of application of two
type of load are quite different, while the live load comes after
the construction and is resisted by whole structure. The dead
load builds up sequentially stage. The difference in the mode of
application of load affects the distribution of the stresses in beam
and column, therefore it is common to carry out analysis for the
dead load also. The appropriate procedure, is the sequential
analysis procedure, which incorporates the construction
sequence as an additional variable, and takes into account the
sequential application of dead loads.
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Constructions of tall buildings after invention of high strength
materials.
Analysis are based upon Finite Element Software like
STAAD,SAP etc.
There are several assumptions in analysis, If there are
deviation in assumptions, It gives error in results.
Structures will fail, if designs are based on incorrect result like
axial force and moment.
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OBJECTIVE
Identify the significant structural parameters of bending
moment in the beams, with influence the behavior under
vertical loads.
Carry out comprehensive studies on the errors resulting from
the use of simultaneous analysis procedure for dead load for
the identified structural parameters.
Identify the dominant structural parameters from the studied
carried out in (ii)
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Develop a neural network which simulate the results of
sequential analysis procedure by feeding the results of
simultaneous analysis procedure together with dominant
structural parameters at the input layer, and
Validate the proposed neural network.
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LITERATURE REVIEW
Chakraborti et. Al. 1978, studied behavior under sequential load,
using sequential analysis procedure where the members forces
are found to be quite different from those obtained using the
simultaneous analysis procedure. There is reduction in the end
moments of the beams and the difference between the two
results is a function of relative stiffness of adjacent beams.
Choi et al. (1992) have proposed a correction factor method for
considering the sequential effects the simultaneous analysisprocedure. Normalized correction factors curves have been
produced based on simultaneous and sequential analysis of a few
practical building.
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Mukherjee and Deshpande (1995) studied the application of neural
net in the preliminary design of structure. The application of ANNs
in the design of a single span Reinforced Concrete (RC) beam wasexplored. The inputs to the consisted of the beam, the type of steel
chosen, the grade of the concrete and the applied load. The outputs
were in the form of the area of tensile steel, width of beam, cost ofbeam per meter and the moment capacity of beam.
Anderson et. al (1993) investigated the prediction of minor axis steel
connections using Back-Propagation networks. The study considered
the minor axis beam to column connections which restrain the
columns from buckling.
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ANALYSIS OF STRUCTURES
SEQUENTIAL
Loads are applied sequentially
one by one
Final forces can be determined
after superposition
Example-dead load of
structure
SIMULTANEOUS
Loads are applied
simultaneous at one time
Final force can be determined
in one time
Example-live load of
structure
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PROBABALE STRUCTURAL PARAMETER
Sf (Stiffness factor) = Shear stiffness of beams to
column axial stiffness
Number of stories
Normalized height of the floor, x/H
Position of column; Exterior or Interior
Stiffness Ratio = Kc/Kb
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SIMULTANEOUS ANALYSIS PROCEDURE
N- Multistory Building Frame
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SEQUENTIAL ANALYSIS PROCEDURE
N - Multistory Building Frame
Nth Structure1st Structure
N- Story building
2nd Structure
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BASIC PARAMETER OF ANALYSIS
= Ratio of moment force in beam by
sequential analysis and moment force in beam
by simultaneous analysis
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NUMERICAL STUDY
A 6-bay, 100 storey uniform building frame was considered
Span bay was 5 meter,3 meter high and column size 1m x 1m
Load was consider uniform distributed with intensity 30 kN/m
and modulus of elasticity=1.5 x 107 kN/m2
Poisons ratio = 0.15 and density was taken 25 kN/m3
Software package STAAD was used for analysis
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Variation of on Exterior Base Beam
0.50
0.70
0.90
1.10
1.30
1.50
0.00 0.02 0.04 0.06
Left Side
Center
Right Side
Stiffness Factor Sf
No. of Floor =100
No. of Bays = 6
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Variation of on Exterior Beam of 40th Floor
-6.00
-4.00
-2.00
0.00
2.00
4.00
0.00 0.02 0.04 0.06
Left Side
Center
Right Side
Stiffness Factor Sf
No. of Floor =100
No. of Bays = 6
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Variation of on Exterior Beam of 80th Floor
-0.50
0.50
1.50
2.50
3.50
0.00 0.02 0.04 0.06
Left Side
Right Side
Center
Stiffness Factor Sf
No. of Floor =100
No. of Bays = 6
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Variation of on Interior Base Beam
Stiffness Factor Sf
0.60
0.80
1.00
1.20
1.40
1.60
1.80
2.00
0.00 0.02 0.04 0.06
Left Side
Center
Right Side
No. of Floor =100
No. of Bays = 6
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Variation of on Interior Beam of 40th Floor
Stiffness Factor Sf
-0.50
0.50
1.50
2.50
3.50
4.50
0.00 0.02 0.04 0.06
Left Side
Center
Right Side
No. of Floor =100
No. of Bays = 6
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Variation of on Interior Beam of 80th Floor
-0.50
0.50
1.50
2.50
3.50
0.00 0.02 0.04 0.06
Left Side
Center
Right Side
Stiffness Factor Sf
No. of Floor =100
No. of Bays = 6
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Variation of on Exterior Base Beam
No. of Floor
Sf = 0.048
No. of Bays = 6
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Variation of on Exterior Base Beam
Sf = 0.024
No. of Bays = 6
No. of Floor
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Variation of on Exterior Base Beam
Sf = 0.0024
No. of Bays = 6
No. of Floor
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Variation of on Exterior Base Beam
Sf = 0.00024
No. of Bays = 6
No. of Floor
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Variation of on Exterior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
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Variation of on Exterior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.024
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Variation of on Exterior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
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Variation of on Exterior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
No. of floor = 100
No. of Bays = 6
Sf = 0.00024
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Variation of on Interior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
No. of floor = 100
No. of Bays = 6
Sf = 0.00024
No. of floor = 100
No. of Bays = 6
Sf = 0.048
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Variation of on Interior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.024
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Variation of on Interior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
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Variation of on Interior Base Beam
Normalized height of the building x/H
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.00024
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Variation of on Base Beam
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.048
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Variation of on Base Beam
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.024
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Variation of on Base Beam
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf
= 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
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Variation of on Base Beam
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.00024
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Variation of on 50th Floor
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.048
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Variation of on 50th Floor
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.024
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Variation of on 50th Floor
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.0024
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Variation of on 50th Floor
Position of the Beam
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
No. of Bays = 6
Sf = 0.00024
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Variation of on Exterior base Beam
Stiffness Ratio
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
Sf = 0.024
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Variation of on Interior base Beam
Stiffness Ratio
No. of floor = 100
No. of Bays = 6
Sf = 0.048
No. of floor = 100
Sf = 0.024
No. of floor = 100
Sf = 0.024
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GOVERNING STRUCTURAL PARAMETERS
Sf(Stiffness factor) = Shear stiffness of beams
to column axial stiffness
Number of stories
Normalized height of the floor, x/H
Position of beam; Exterior or Interior
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BASIC ELEMENT OF ARTIFICIAL NEURAL
NETWORK
PROCESSING ELEMENTS
INPUTS AND OUTPUT
WEIGHTING FACTORS
INPUT FUNCTION AND ACTIVATION
FUNCTION
LEARNING FUNCTION
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INPUT AND OUTPUT OF THE ANN
Only one output -
Four input
Stiffness ratio(Sf)
Normalized height of floor(x/H)
Total number of floor present in building
Position of the beam; exterior or interior
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Training graph for Exterior beam
number of hidden layer = 2
number of neurons = 9
Er
ror
(M
S
E)
Iteration
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Training graph for Interior beam
number of hidden layer = 2
number of neurons = 9
IterationIteration
Er
ror
(M
S
E)
VALIDATION
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VALIDATION
Neural network has been tested for the data for which
it was not trained and it has been observed from Fig.
that there is close agreement between the value
obtained from the analysis and that obtained from the
Neural Network.
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Comparison of on Left Side of The Exterior
Beam
0.70
0.80
0.90
1.00
1.10
1.20
1.30Analysis Value
ANN Value
number of hidden layer = 2
number of neurons = 9
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Comparison of on Center of the Exterior beam
number of hidden layer = 2
number of neurons = 9
0.60
0.70
0.80
0.90
1.00
1.10
1.20
1.30Analysis Value
ANN Value
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Comparison of on Right Side of The Exterior
Beam
number of hidden layer = 2
number of neurons = 9
0.40
0.60
0.80
1.00
1.20
1.40
1.60Analysis Value
ANN Value
i f f id f h i
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Comparison of on Left Side of The Interior
Beam
number of hidden layer = 2
number of neurons = 9
0.6
0.8
1
1.2
1.4
1.6
Analysis Value
ANN Value
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Comparison of on Center of the Interior beam
number of hidden layer = 2
number of neurons = 9
0.4
0.6
0.8
1
1.2Analysis Value
ANN Value
C i f Ri h Sid f Th I i
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Comparison of on Right Side of The Interior
Beam
number of hidden layer = 2
number of neurons = 9
0.6
0.8
1
1.2
1.4
1.6
1.8
Analysis Value
ANN Value
CONCLUSIONS
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CONCLUSIONS
Number of structural parameters which influence the
moment force by simultaneous and sequential
analysis have been identified.
Most influential parameter is the stiffness factor.
Values of actual moment in structure can be
determined, if result of simultaneous analysis are
known.
Developed Neural Network yields good results for
large and minimum height building.
REFERENCECES
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REFERENCECES
Chakraborti, S.C., Nayak, G.C., and Agarwala, S.K (1978).
Effect of construction sequence in the analysis of multistoriedbuilding frames. Building and Environment,(13),1-6
Choi, C.K., Chung, D.G., and Wilson (1992). Building analysis
with sequential dead loads J.Struct.Engg.,ASCE,118(4),944-954
Mukherjee and J.M. Deshpande,(1995) Application of Artificial
Networks in Structural Design Expert System, Computers and
Structure, Vol. 54
D.Anderson ,(1993). Appliation of Artificial Neural Network to
prediction of Minor axis Steel Connections.
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Thank You