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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