RCCe21 Subframe Analysis

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    Project Spreadsheets to BS 8110 & EC2

    Client Advisory Group Made by Date Sheet No

    Location Spine Beam - SCHEME 4 rmw 15-Feb-2010 146

    Checked Revision Job No

    chg - R68

    SPANS LOCATION from grid C to grid EType

    SPAN 1 6.000 3.200 600 400 R 400 on LHS of span

    2.800 500 666 150 T 1506 on RHS of span

    SPAN 2 7.200 5.400 600 400 R 400 on LHS of span

    1.800 450 400 R 400 on RHS of span

    SPAN 3 6.000 6.000 450 400 R 400

    0.000 0

    SPAN 4 7.200 7.200 600 400 R 400

    0.000 0

    SPAN 5 0

    0.000 0

    SPAN 6 0

    0.000 0

    SUPPORTS BELOWEnd Cond End Cond

    Support 1 K 300

    Support 2 3.600 450 450 F 4.500 450 450 F

    Support 3 3.600 400 400 F 4.500 400 400 F

    Support 4 3.600 400 400 F 4.500 400 400 F

    Support 5 3.600 400 400 F 4.500 400 400 F

    Support 6

    Support 7

    LOADING DIAGRAM

    LOADING PATTERN

    min max

    DEAD 1.0 1.35IMPOSED 0 1.5

    Dead Imposed Position Loaded Dead Imposed Position Loaded

    Span 1 Load Load from left Length Span 4 Load Load from left Length

    UDL 97.27 36.00 ~~~~~ ~~~~~ UDL 97.27 36.00 ~~~~~ ~~~~~

    PL 1 0.000 ~~~~~ PL 1 ~~~~~

    PL 2 ~~~~~ PL 2 ~~~~~

    Part UDL Part UDL

    Span 2 Span 5

    UDL 50.00 25.00 ~~~~~ ~~~~~ UDL ~~~~~ ~~~~~

    PL 1 72 30 6.750 ~~~~~ PL 1 ~~~~~

    PL 2 ~~~~~ PL 2 ~~~~~

    Part UDL 47.27 11.00 0.750 4.800 Part UDL

    Span 3 Span 6

    UDL ~~~~~ ~~~~~ UDL ~~~~~ ~~~~~

    PL 1 ~~~~~ PL 1 ~~~~~

    PL 2 ~~~~~ PL 2 ~~~~~

    Part UDL Part UDL

    REACTIONS

    SUPPORT 1 2 3 4 5

    MAX ULTIMATE 413.7 1365.2 645.0 705.3 664.3 0.0 0.0

    MIN ULTIMATE 172.9 741.9 240.3 341.9 339.1 0.0 0.0

    Characteristic Dead 210.1 723.8 303.8 360.5 344.6 0.0 0.0

    Char. Imposed 86.7 258.7 156.6 146.9 132.7 0.0 0.0

    REINFORCED CONCRETECOUNCIL

    SUBFRAME ANALYSIS TO EC2 (DD ENV 1992-1-1 : 1992)

    Originated from RCCe21.xls' on CD 1999 BCA for RCC

    L (m) Segment (m) H (mm) bw (mm) hf (mm) bf (mm)

    ABOVELength (m) H (mm) B (mm) Length (m) H (mm) B (mm)

    LOADING (characteristic)

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    Project Spreadsheets to BS 8110 & EC2

    Client Advisory Group Made by Date Page

    Location Spine Beam - SCHEME 4, from C to E rmw 15-Feb-10 147

    SUBFRAME ANALYSIS TO EC2 (DD ENV 1992-1-1 : 1992) Checked Revision Job No

    Originated from RCCe21.xls' on CD 1999 BCA for RCC chg - R68

    C Elastic Moments E C Redistributed Envelope E

    SUPPORT No 1 2 3 4 5

    Elastic M 0.0 994.9 534.5 620.5 528.6 ~ ~ kNm

    Redistributed M 0.0 895.4 534.5 496.4 475.7 ~ ~ kNm

    Column face M -18.5 751.0 410.7 366.1 346.6 ~ ~

    b 1.000 0.900 1.000 0.800 0.900 ~ ~

    Redistribution 10.0% 10.0% 20.0% 10.0%

    SPAN No 1 2 3 4 0 0

    Elastic M 491.01 468.03 11.26 636.29 ~ ~ kNm

    Redistributed M 461.68 481.84 11.26 714.81 ~ ~ kNm

    b 0.940 1.030 1.000 1.123 ~ ~

    C Elastic Shears E C Redistributed Shears ESPAN No 1 2 3

    Elastic V 426.6 711.4 673.9 631.6 16.2 29.7 kN

    Redistributed V 413.7 705.2 660.1 629.8 15.2 35.3 kN

    SPAN No 4 0 0

    Elastic V 680.7 657.1 0.0 0.0 0.0 0.0 kN

    Redistributed V 670.0 664.3 0.0 0.0 0.0 0.0 kN

    1 2 3 4 5

    ADJACENT SPANS Above 34.5 -225.4 253.7 -290.5 0.0

    LOADED Below 27.6 -180.3 202.9 -232.4 0.0

    ODD SPANS Above 0.0 -78.1 -98.6 136.3 -153.5 0.0 0.0

    LOADED Below 0.0 -62.5 -78.9 109.0 -122.8 0.0 0.0

    EVEN SPANS Above 0.0 132.4 -239.6 265.0 -139.8 0.0 0.0

    LOADED Below 0.0 105.9 -191.7 212.0 -234.9 0.0 0.0

    REINFORCED CONCRETECOUNCIL

    BENDING MOMENTS (kNm ultimate)

    SHEARS (kN ultimate)

    COLUMN Ms (kNm ultimate)

    0 5 10 15 20 25 30-1000.00

    -500.00

    0.00

    500.00

    1000.00

    1500.00

    0 5 10 15 20 25 30-1000.00

    -500.00

    0.00

    500.00

    1000.00

    1500.00

    0 5 10 15 20 25 30-800

    -600

    -400

    -200

    0

    200

    400

    600

    800

    0 5 10 15 20 25 30-800

    -600

    -400

    -200

    0

    200

    400

    600

    800

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    Project Spreadsheets to BS 8110 & EC2

    Location Advisory Group ANALYSIS I

    SUBFRAME ANALYSIS TO EC2 (DD ENV 1992-1-1 : 1992)

    Originated from RCCe21.xls' on CD 1999 BCA for RCC

    ANALYSISMin load 1 x dead load

    Live load 0.35 x dead load + 1.5 x imposed load (Table 3.1)

    Distribution Factors

    SUPT 1 SUPT 2 SUPT 3

    Up col Lo col R L Up col Lo col R L Up col Lo col

    I 0 0 ### ### ### ### ### ### ### ###

    Stiffness 0 0 ### ### 949218750 759375000 ### ### ### ### 5

    Sum ### ### ###

    Factor 0 0 1 0.38 0.2 0.16 0.25 0.25 0.28 0.23

    SUPT 4 SUPT 5 SUPT 6

    L Up col Lo col R L Up col Lo col R L Up col Lo col

    I ### ### ### ### ### ### 0 0 0 0

    Stiffness 506250000 ### ### ### ### ### ### 0 0 0 0

    Sum 2.6E+09 2.1E+09 0

    Factor 0.2 0.23 0.18 0.39 0.48 0.29 0.23 0 1 0 0SUPT 7

    L Up col Lo col

    I #DIV/0! 0 0 Partial UDL factors

    Stiffness 0 0 0 1 2 3 4 5

    Sum 0 a 0 0.67 0 0 #DIV/0!

    Factor 0 0 0 b 0 0.44 0 0 #DIV/0!

    Fixed End MomentsSPAN 1 SPAN 2 SPAN 3 SPAN 4 SPAN 5 SPAN

    Min load L R L R L R L R L R L

    Cant 1750.86 2496.72 0 2521.24 0 0

    UDL 238.23 345.39 256.32 175.68 0 0 420.21 420.21 0 0 0

    PL 1 0 0 7.6 22.77 0 0 0 0 0 0 0

    PL 2 0 0 0 0 0 0 0 0 0 0 0

    part UDL 0.0 0.0 230.3 141.8 0.0 0.0 0.0 0.0 0.0 0.0 0.0

    FEM 238.2 345.4 494.2 340.3 0.0 0.0 420.2 420.2 0.0 0.0 0.0

    Live load

    Cant 1584.8 2399.1 0.0 2282.1 0.0 0.0

    UDL 215.6 312.6 282.0 193.2 0.0 0.0 380.4 380.4 0.0 0.0 0.0

    PL 1 0.0 0.0 7.4 22.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0

    PL 2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

    part UDL 0.0 0.0 161.0 99.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0

    FEM 215.6 312.6 450.4 314.6 0.0 0.0 380.4 380.4 0.0 0.0 0.0

    Moment DistributionHiCol SUPT 1 LoCol HiCol SUPT 2 LoCol HiCol SUPT 3 LoCol

    Min load -238.23 345.39 -494.23 340.3 0

    0 238.23 0 30.38 56.36 37.79 24.31 -95.88 -85.8 -81.91 -76.71

    28.18 119.12 -42.9 18.9 41.34

    0 -28.18 0 -15.56 -28.86 -19.35 -12.45 -16.97 -15.19 -14.5 -13.58

    -14.43 -14.09 -7.59 -9.68 14.03

    0 14.43 0 4.43 8.21 5.51 3.54 -1.23 -1.1 -1.05 -0.98

    4.11 7.22 -0.55 2.75 2.66

    0 -4.11 0 -1.36 -2.52 -1.69 -1.09 -1.52 -1.36 -1.3 -1.22

    -1.26 -2.05 -0.68 -0.85 0.71

    0 1.26 0 0.56 1.04 0.69 0.45 0.04 0.03 0.03 0.03

    0.52 0.63 0.02 0.35 0.19

    0 -0.52 0 -0.13 -0.25 -0.16 -0.11 -0.15 -0.14 -0.13 -0.12

    -0.12 -0.26 -0.07 -0.08 0.03

    0 0.12 0 0.07 0.12 0.08 0.05 0.01 0.01 0.01 0.01

    Sum 0.0 0.0 0.0 18.4 490.1 -523.1 14.7 -115.7 248.2 -39.9 -92.6

    3037500000

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    Project Spreadsheets to BS 8110 & EC2

    Location Advisory Group ANALYSIS II

    SUBFRAME ANALYSIS TO EC2 (DD ENV 1992-1-1 : 1992)

    Originated from RCCe21.xls ' on CD 1999 BCA for RCC

    Moment Distribution contLive on -215.64 312.63 -450.37 314.61

    1,2, 5 & 6 0 215.64 0 28.12 52.16 34.97 22.49 -88.64 -79.32 -75.73 -70.92 26.08 107.82 -39.66 17.49 0

    0 -26.08 0 -13.91 -25.81 -17.31 -11.13 -4.93 -4.41 -4.21 -3.94 8

    -12.9 -13.04 -2.2 -8.65 3.73

    0 12.9 0 3.11 5.77 3.87 2.49 1.39 1.24 1.19 1.11 0

    2.89 6.45 0.62 1.94 0.21

    0 -2.89 0 -1.44 -2.68 -1.8 -1.16 -0.6 -0.54 -0.52 -0.48 0

    -1.34 -1.44 -0.27 -0.9 0.12

    0 1.34 0 0.35 0.65 0.43 0.28 0.22 0.2 0.19 0.18 0

    0.32 0.67 0.1 0.22 0.04

    0 -0.32 0 -0.16 -0.29 -0.2 -0.13 -0.07 -0.06 -0.06 -0.06 -0

    -0.15 -0.16 -0.03 -0.1 0

    0 0.15 0 0.04 0.07 0.05 0.03 0.03 0.03 0.02 0.02 0

    Sum 0.0 0.0 0.0 16.1 442.8 -471.8 12.9 -92.6 241.7 -75.0 -74.1

    Live on 0

    3 & 4 0 0 0 0 0 0 0 0 0 0 0 8

    0 0 0 0 37.42

    0 0 0 0 0 0 0 -10.54 -9.43 -9.01 -8.43 2

    0 0 -4.72 0 9.05

    0 0 0 0.96 1.79 1.2 0.77 -2.55 -2.28 -2.18 -2.04 5

    0.89 0 -1.14 0.6 2.2

    0 -0.89 0 0.23 0.43 0.29 0.19 -0.79 -0.71 -0.67 -0.63 1

    0.22 -0.45 -0.35 0.14 0.53

    0 -0.22 0 0.16 0.3 0.2 0.13 -0.19 -0.17 -0.16 -0.15 0

    0.15 -0.11 -0.09 0.1 0.14

    0 -0.15 0 0.04 0.07 0.05 0.03 -0.07 -0.06 -0.06 -0.05 0

    0.04 -0.08 -0.03 0.02 0.03

    0 -0.04 0 0.02 0.04 0.03 0.02 -0.02 -0.01 -0.01 -0.01 0

    Sum 0.0 0.0 0.0 1.4 2.0 -4.6 1.1 -14.2 -11.8 37.3 -11.3 1

    Live on -450.37 314.61 0

    2, 3 & 6 0 0 0 91.93 170.54 114.35 73.55 -88.64 -79.32 -75.73 -70.92

    85.27 0 -39.66 57.17 0

    0 -85.27 0 8.1 15.02 10.07 6.48 -16.11 -14.42 -13.76 -12.89 8

    7.51 -42.63 -7.21