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    Influencelines Lineas de Influencia

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    kari20s
    This document discusses influence lines for internal forces in continuous beams. It provides information on a 4-span continuous beam, including the span lengths, stiffness values, and results from the influence line analysis. The analysis calculates influence lines for the bending moment, shear force, and deflections along the beam due to a moving point load. Graphs of the influence lines are presented, showing the maximum and minimum internal force values.

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    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd

    Influencelines Lineas de Influencia

    Uploaded by

    kari20s
    13 views6 pages
    This document discusses influence lines for internal forces in continuous beams. It provides information on a 4-span continuous beam, including the span lengths, stiffness values, and results from the influence line analysis. The analysis calculates influence lines for the bending moment, shear force, and deflections along the beam due to a moving point load. Graphs of the influence lines are presented, showing the maximum and minimum internal force values.

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    linias de influencia

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    This document discusses influence lines for internal forces in continuous beams. It provides information on a 4-span continuous beam, including the span lengths, stiffness values, and results from the influence line analysis. The analysis calculates influence lines for the bending moment, shear force, and deflections along the beam due to a moving point load. Graphs of the influence lines are presented, showing the maximum and minimum internal force values.

    Copyright:

    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd
    Download as xls, pdf, or txt
    13 views6 pages

    Influencelines Lineas de Influencia

    Uploaded by

    kari20s
    This document discusses influence lines for internal forces in continuous beams. It provides information on a 4-span continuous beam, including the span lengths, stiffness values, and results from the influence line analysis. The analysis calculates influence lines for the bending moment, shear force, and deflections along the beam due to a moving point load. Graphs of the influence lines are presented, showing the maximum and minimum internal force values.

    Copyright:

    © All Rights Reserved
    Download as XLS, PDF, TXT or read online from Scribd
    Download as xls, pdf, or txt
    of 6

    INFLUENCE LINES IN CONTINUOUS BEAMS

    A
    Span No. 1 2 3 4
    Span
    Number of Spans ( <=10 ): 4 Length: 60 90 50 40
    Stiffness
    No. of Sections in Span (<=30): 10 EI 0 1000
    60 1000
    150 1000
    200 1000
    240
    0 0 0 0 0

    ● Internal Forces

    ● Support Reactions Pier No. 4


    40

    Continuous Beam Influence Lines


    1
    0.9
    0.8
    0.7
    0.6
    0.5
    0.4
    0.3
    0.2
    0.1
    0
    0 50 100 150 1
    200

    Reaction
    RESULTS Maximum Value: 1 0
    X-Global Span X-Local Reaction Minimum Value: -0.3118 0
    0 1 0 0 Positive Area: 56.4353 0
    0.00001 0.00001 2.45E-08 Negative Area: -17.167 0
    6 6 0.014533 Total Area: 39.2687 0
    12 12 0.028184
    18 18 0.040075
    24 24 0.049323
    30 30 0.055048
    36 36 0.056369
    42 42 0.052405
    48 48 0.042277
    54 54 0.025102
    60 60 0
    60 2 0 0
    69 9 -0.05252
    78 18 -0.11626
    87 27 -0.18265
    96 36 -0.24309
    105 45 -0.289
    114 54 -0.31179
    123 63 -0.30287
    132 72 -0.25366
    141 81 -0.15556
    150 90 0
    150 3 0 0
    155 5 0.113114
    160 10 0.24026
    165 15 0.375085
    170 20 0.511231
    175 25 0.642346
    180 30 0.762072
    185 35 0.864056
    190 40 0.941942
    195 45 0.989375
    200 50 1
    200 4 0 1
    204 4 0.97873
    208 8 0.932598
    212 12 0.864366
    216 16 0.776797
    220 20 0.672653
    224 24 0.554697
    228 28 0.425692
    232 32 0.288399
    236 36 0.14558
    240 40 0
    240
    0 240
    0 240
    0 240
    0 240
    0 240
    0

    200

    0
    0
    0
    0
    0
    Bending Moment Analysis Option
    Shear Force
    Stiffness Matrix [d] Deflections
    Reactions
    1 2 3
    1 0.05 0.015 0
    2 0.015 0.046667 0.008333
    3 0 0.008333 0.03

    Load Vector [Dp]


    Point load in span 4 Moment in simple beam under Point load:
    Distance from the beginning of span: 40 Msimple= 0
    -X(L-X)/(6LEI): 0

    [Dp] 0 0 0
    1 2 3 4 5 6 7 8 9
    0 0 0 #N/A #N/A #N/A #N/A #N/A
    0 0 0 0 0 0 0 0 0
    0 0 0 0 0 0 0 0 0
    0 0 0 0 0 0 0 0 0
    0 0 0 0 1 0 0 0 0
    0 0 0 0 1 0 0 0 0

    Section in span 4
    Distance from the beginning of span: 40

    Mp 1 2 3
    0 0 0 0

    M= 0

    Vp 1 2 3
    -1 0 0 0

    V= -1

    Simple span moments in statically determined structure


    1 2 3 4
    0 0 0 0

    R=

    Defined Ranges
    D_IL =OFFSET(X_Global,,5)
    deltaP =OFFSET(p1x10,0,0,1,Nspans-1)
    DiagramLink =Input!$I$13
    EI =Input!$G$5:$P$5
    InfluenceLine =CHOOSE(DiagramLink,M_IL,V_IL,D_IL)
    L =Input!$G$4:$P$4
    LoadSpan =Solver!$E$17
    LoadX =Solver!$E$18
    M_IL =OFFSET(X_Global,,3)
    m10x10 =Solver!$B$6:$J$14
    matrix =OFFSET(m10x10,0,0,Nspans-1,Nspans-1)
    Moment =Solver!$B$30
    Msimple =Solver!$H$18
    Msup =Solver!$B$22:$J$22
    Nsections =Input!$D$5
    Nspans =Input!$D$4
    p1x10 =Solver!$B$21:$J$21
    SectionSpan =Solver!$E$24
    SectionX =Solver!$E$25
    Shear =Solver!$B$35
    V_IL =OFFSET(X_Global,,4)
    X =Solver!$E$18
    X_Global =OFFSET(X_Global_Big,,,COUNT(X_Global_Big))
    X_Global_Big =Input!$A$18:$A$848
    XGLOBAL =Input!$A$18:$A$61
    XLoc1 =Input!$C$17
    2 Piers
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11

    am under Point load:

    10 11 Piers
    #N/A Msup
    0 0 Msup/Li-1
    0 0 Msup/Li
    0 0 Reaction Msup/L
    0 0 Reaction in statically determined structure
    0 0 Reaction Total

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