Conveyor Truss Connections Calcs

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    1.0

    1.1 Fi

    CONNE

    xed Joint

    From SpMEMBER FO--------- Envelope

    an an

    Lo Memb Ca

    2198 1 362 1 362 1 2198 1 2198 2 362 2 2198 2 362 2 362 2 2198 2 2198 1 362 1

    The bas

    TIONS

    aseplate

    acegass wRCES AND MO-----------

    = Load Cased Members 3d All Secti

    ad Axise For

    19 253.430 -30.511 76.010 251.133 144.000 59.848 57.810 54.000 59.833 144.010 251.111 76.0

    plate verif

    nd Ancho

    have the f ENTS (kN,k

    ----- (*=Ma

    s 100-49962,2198ons

    al Y-Axce She

    24* -0.114# -39.512 94.477 -95.076 -13.616 -13.564 -0.488 0.116 -13.576 -13.677 -95.012 94.4

    ication is u

    r Bolts

    ollowing rem)imum, #=Min

    s Z-Axir Shea

    1 -1.563 -43.544* -1.549# 1.041 98.117 -101.052 -84.552 -87.057 -101.051 98.119 1.044 -1.54

    dertaken u

    ctions env

    imum)

    s X-Axir Torsio

    9 -0.007 -0.038 -0.092 0.028* -0.105# -0.137 0.104 -0.135 -0.138 -0.102 0.028 -0.09

    sing Limco

    elope:

    Y-Axi Momen

    3.15 0.00 3.09 -2.07 -196.28 202.14* 169.14# 174.13 202.14 -196.28 -2.07 3.09

    .

    Z-AxisMoment

    0.287-0.004

    -188.923190.271

    27.29127.013

    0.925-0.278

    * 27.013# 27.291

    190.271 -188.923

    *#

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    LIMCON V3.22-NOV-12

    20:22:20Connect

    T

    Coun Un Design c

    Column:D =B =

    Tf =Tw =

    .SectioCl.5.11.2( .Sectio .SectioAS4100 6.2

    Base pla 350x300

    Welds:8 FW/48

    Bolts:

    4 x M30Bolt ho

    No. bol No. bol Spacing

    SpacingEmbedme

    60

    on: FJ_to_pe: Base P 1: Pinry: Austrats: SI metde: AS 410

    Mark=COL162 mm154 mm

    12 mm8 mm

    shear capa)

    tension c compressi.1

    e:20 Gr./fy

    MPa/SP all

    4.6/S/N ane dia. .

    rows = 2cols. = 2

    of outer bof outer bt length =

    onc_2late

    ed base pllia

    ic

    ection=150 Root rad.

    AreaZxSx

    city . . .

    pacity . .n capacity

    fu=250/250

    around col

    hor bolts.. . . . . .

    lts, sg =lts, sp =600, no ho

    ate

    UC37.2 Gr= 9= 4730= 274000= 310000. . 226.

    . . 1298.

    . . 1277.

    /410MPa

    umn.

    . . 3

    200 in XX250 in YYok.

    ade=300m fyf =

    fyw =fu =

    7 kN

    5 kN1 kN

    6 mm

    irection.irection.

    300 MPa320 MPa440 MPa

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    Shear capacity of bolts considered.

    No shear key.

    Foundation:Foundation strength, f'c . . . . 40.0 MPaGrout thickness . . . . . . . . . 30 mmCircular, dia. . . . . . . . . . 750 mmMin. bolt edge distance . . . . . 215 mmDepth . . . . . . . . . . . . . . 2000 mmFoundation is reinforced - reinforcement not checked.Coefficient of friction . . . . . 0.40

    MINIMUM ACTION CHECK(Minima are based on section capacity, not member capacity.)Specified minimum design actions:

    Shear 0.0 kNTension 0% of Ns ( 1298.5) = 0.0 kNCompression 0% of Nc ( 1277.1) = 0.0 kNNOTE: Input design actions are not automatically increased if they are less than

    the specified minimum actions. Minimum actions may be set in any load case.This check warns if any design action is less than the specified minimumfor all load cases.

    DESIGN CHECK SUMMARYCase P* V*x V*y M*x M*y LF Util.

    1 -216c 0 0 0.0 0.0 2.28 44%

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    NOTE: X and Y shear forces are resisted only by weld elements aligned in thesame direction as the shear force.

    Column weld capacity . . . . . . . . . . . 1.303 v*res = 0.273 4.77Pass

    CRITICAL LOAD CASE . . . . 1CRITICAL LIMIT STATE . . . Modified Thornton plate capacity, NsUTILIZATION RATIO . . . . 44%CAPACITY RATIO, .Ru/S* . 2.275 Pass

    For the case of anchor bolts all the load combinations must be checked as shear tension interaction governs the design.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

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    Therefore the standard baseplate for the truss fixed joint to concrete has adequatestrength, and M30 anchor bolts satisfy the shear tension interaction limit stated inthe design criteria.

    Anchor Bolts Check for F4

    d f = M30 nf = 4 Number of fasteners

    Ntf = 152.7 kN V*1 = V* / n f Shear per fastenerVfn = 103 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    1 232 100.44 13.21 12.79 101.25 13.21 0.25 0.02 0.27 OK1 243 100.44 13.21 12.79 101.25 13.21 0.25 0.02 0.27 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    1.2 Trestle TR1 & TR2 Type PCT7 Base Plate and Anchor Bolts

    From Spacegass we have the following reactions envelope:

    NODE REACTIONS (kN,kNm)-------------- (*=Maximum, #=Minimum)

    Envelope = Load Cases 100-499and Nodes 151,155,163,165

    Load X-Axis Y-Axis Z-Axis X-Axis Y-Axis Z-AxisNode Case Force Force Force Moment Moment Moment

    155 110 7.327* 602.339 -65.997 0.000 0.000 0.000163 130 -1.266# -267.979 -27.677 0.000 0.000 0.000155 130 2.215 897.998* -129.412 0.000 0.000 0.000151 130 -0.089 -504.238# -58.001 0.000 0.000 0.000

    163 131 0.630 327.524 134.767* 0.000 0.000 0.000165 130 1.587 586.690 -134.394# 0.000 0.000 0.000155 178 2.123 410.965 -32.981 0.000* 0.000 0.000151 107 2.767 231.890 72.903 0.000# 0.000 0.000163 106 0.355 99.620 87.263 0.000 0.000* 0.000165 108 3.683 426.624 -88.508 0.000 0.000# 0.000163 111 0.455 101.810 99.798 0.000 0.000 0.000*163 106 0.355 99.620 87.263 0.000 0.000 0.000#

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    Baseplate Trestle TR1 & TR2

    Ref.: AISC Design of Structural Connections 4th Ed.

    1.- Input data

    Column Base Plate Weld Anchor Bolts Concrete Pier

    tfc 9.5mm f yi 250MPa fuw 480MPa f u 400MPa fc 40MPa

    tw 6mmdo 323.9mm di 430mm f yb 240MPa dp 750mm

    bi 430mm n b 4

    ti 32mm d 36mm

    Sg 320mm

    Design Loads

    Nc 898KN ULS Compression

    Nt 504KN ULS Tension

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    2.- Calculations - Compression 0.6

    Ao do

    2

    482397.1 mm

    2

    A1 bi d i 184900 mm2

    A2dp

    2

    40.4m

    2

    Nc min A1 0.85 fcA2

    A1

    A1 2 fc 5830.5 kN Design Capacity of Concrete in Compression

    AH max Nc

    0.85 fc

    A2

    Ao

    Nc

    2 fc

    19010.6 mm2

    a1di 0.8 do

    285.4 mm

    a2 bi 0.8d o

    285.4 mm

    am max a 1 a2 85.4 mm

    a3

    do do2

    4AH

    219.9 mm

    Nsc min 0.9 f yi ti2 A1

    2 am2

    0.9 f yi ti2 AH

    2 a32

    2917.9 kN Design Capacity of Base Plate in Compression

    Ndes.c min Nc Nsc 2917.9 kN Design Capcity in Compression

    chk "OK" Ndes.c

    Nc

    if

    "FAIL" otherwise

    chk "OK"

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    For the case of anchor bolts all the load combinations must be checked as shear tension interaction governs the design.

    3.- Calculations - Tension

    1 0.9

    bfo bi do 106.1 mm

    dc1 do 323.9 mm

    btSg 2 dc1

    264.3 mm

    be 2 bt d 164.6 mm

    Design Strength of Base Plate in tension Ns1 be ti

    2 f yi

    4n b bt

    589.7 kN

    Lw do 1017.6 mm Total length of fillet weld

    kr 1 Lw 1.7mif

    1.1 0.06 Lw

    1000mm 1.7m Lw 8mif

    0.62 otherwise

    1 Table 9.7.3.10(2) AS4100

    vw 0 .8 0 .6 fuw tw

    2

    0.978 kN

    mm

    Nw kr vw Lw 994.7 kN Design Capacity of fillet weld

    As 817 mm2 Anchor bolt area

    Ntf 0.8 As f u 261.4 kN Design capacity of a single anchor bolt.

    Ntb n b Ntf 1045.8 kN Design Capacity of the bolt group in tension

    Ndes.t min Ns Nw Ntb 589.7 kN Design Capacity in Tension

    chk1 "OK" N des.t Ntif

    "FAIL" otherwise

    chk1 "OK"

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    The maximum interaction values and respective load combinations are shown in thefollowing table:

    Therefore the standard baseplate for trestle TR1 has adequate strength, and M36anchor bolts satisfy the shear tension interaction limit stated in the design criteria.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

    Anchor Bolts Check for TR1 & TR2 (F5&F5A)

    d f = M36 nf = 4 Number of fasteners

    Ntf = 219.9 kN V*1 = V* / n f Shear per fastenerVfn = 150.6 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    151 130

    0.1

    504.2

    58.0 58.0 504.2 0.10 0.57 0.67 OK155 159 0.2 452.1 80.0 80.0 452.1 0.13 0.51 0.65 OK163 158 0.7 234.5 60.4 60.4 234.5 0.10 0.27 0.37 OK165 159 0.7 230.1 59.8 59.8 230.1 0.10 0.26 0.36 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    1.3 Trestle TR3 Type PCT8 Base Plate and Anchor Bolts

    From Spacegass we have the following reactions envelope:

    NODE REACTIONS (kN,kNm)-------------- (*=Maximum, #=Minimum)

    Envelope = Load Cases 100-499and Nodes 2068-2069

    Load X-Axis Y-Axis Z-Axis X-Axis Y-Axis Z-AxisNode Case Force Force Force Moment Moment Moment

    2068 208 5.891* 520.160 -54.892 0.000 0.000 0.0002068 209 -6.065# 512.774 -54.312 0.000 0.000 0.0002068 130 -0.235 1203.417* -153.452 0.000 0.000 0.0002069 130 0.120 -739.808# -87.611 0.000 0.000 0.000

    2069 131 -0.200 928.055 149.682* 0.000 0.000 0.0002068 130 -0.235 1203.417 -153.452# 0.000 0.000 0.0002068 179 -0.741 414.772 -31.598 0.000* 0.000 0.0002068 112 -0.274 556.260 -56.945 0.000# 0.000 0.0002068 129 -4.323 368.565 -32.573 0.000 0.000* 0.0002068 411 -2.586 216.414 -15.466 0.000 0.000# 0.0002068 148 3.063 269.685 -21.914 0.000 0.000 0.000*2069 133 -1.776 145.360 37.043 0.000 0.000 0.000#

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    Baseplate Trestle TR3

    Ref.: AISC Design of Structural Connections 4th Ed.

    1.- Input data

    Column Base Plate Weld Anchor Bolts Concrete Pier

    tfc 9.5mm f yi 250MPa fuw 480MPa f u 400MPa fc 40MPa

    tw 10mmdo 355.6mm di 450mm f yb 240MPa dp 900mm

    bi 450mm n b 4

    ti 40mm d 42mm

    Sg 340mm

    Design Loads

    Nc 1203.4KN ULS Compression

    Nt 739.8KN ULS Tension

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    2.- Calculations - Compression

    0.6

    Ao do

    2

    499314.7 mm

    2

    A1 bi d i 202500 mm2

    A2dp

    2

    40.6m

    2

    Nc min A1 0.85 fcA2

    A1

    A1 2 fc 7322.0 kN Design Capacity of Concrete in Compression

    AH max Nc

    0.85 fcA2

    Ao

    Nc

    2 fc

    25070.8 mm2

    a1di 0.8 do

    282.8 mm

    a2 bi 0.8d o

    282.8 mm

    am max a 1 a2 82.8 mm

    a3

    do do2

    4AH

    224.1 mm

    Nsc min 0.9 f yi ti2 A1

    2 am2

    0.9 f yi ti2 AH

    2 a32

    5321.8 kN Design Capacity of Base Plate in Compression

    Ndes.c min Nc Nsc 5321.8 kN Design Capcity in Compression

    chk "OK" Ndes.c

    Nc

    if

    "FAIL" otherwise

    chk "OK"

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    The maximum interaction values and respective load combinations are shown in thefollowing table:

    Therefore the standard baseplate for trestle TR3 has adequate strength, and M36anchor bolts satisfies the shear tension interaction limit stated in the design criteria.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear

    Tension Interaction

    Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

    Anchor Bolts Check for TR3 (F7)

    d f = M42 nf = 4 Number of fasteners

    Ntf = 299.3 kN V*1 = V* / n f Shear per fastenerVfn = 214.7 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    2068 159 0.0 725.8 108.7 108.7 725.8 0.13 0.61 0.73 OK2069 158 0.0 731.3 109.1 109.1 731.3 0.13 0.61 0.74 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    1.4 Trestle TR4 Type PCT8 Base Plate and Anchor Bolts

    For this trestle the verification must be splitted in two parts as there is a backstaypresent.For the trestle legs we obtain the following reactions envelope:

    NODE REACTIONS (kN,kNm)-------------- (*=Maximum, #=Minimum)

    Envelope = Load Cases 100-499and Nodes 2080,2084

    Load X-Axis Y-Axis Z-Axis X-Axis Y-Axis Z-AxisNode Case Force Force Force Moment Moment Moment

    2080 256 9.189* -356.627 53.369 0.000 0.000 0.0002084 232 -6.655# 218.010 49.890 0.000 0.000 0.0002080 130 1.891 1308.358* -161.935 0.000 0.000 0.0002084 130 -2.208 -833.870# -90.629 0.000 0.000 0.0002084 131 0.441 957.415 152.132* 0.000 0.000 0.0002080 130 1.891 1308.358 -161.935# 0.000 0.000 0.0002080 213 -1.665 86.872 12.780 0.000* 0.000 0.0002080 124 0.798 610.410 -58.723 0.000# 0.000 0.0002080 126 1.451 687.114 -69.155 0.000 0.000* 0.0002084 130 -2.208 -833.870 -90.629 0.000 0.000# 0.0002080 201 6.867 220.933 -10.992 0.000 0.000 0.000*2084 161 8.516 -226.604 -33.541 0.000 0.000 0.000#

    For the backstay we obtain the following reactions envelope:

    NODE REACTIONS (kN,kNm)-------------- (*=Maximum, #=Minimum)

    Envelope = Load Cases 100-499and Nodes 2076

    Load X-Axis Y-Axis Z-Axis X-Axis Y-Axis Z-AxisNode Case Force Force Force Moment Moment Moment

    2076 201 367.246* 687.111 -0.222 0.000 0.000 0.0002076 202 -375.171# -681.419 0.703 0.000 0.000 0.0002076 201 367.246 687.111* -0.222 0.000 0.000 0.0002076 202 -375.171 -681.419# 0.703 0.000 0.000 0.0002076 210 -374.634 -680.466 0.785* 0.000 0.000 0.0002076 211 366.680 686.063 -0.740# 0.000 0.000 0.0002076 205 -111.584 -201.482 0.357 0.000* 0.000 0.0002076 121 49.543 95.800 -0.085 0.000# 0.000 0.0002076 178 -48.678 -85.268 0.093 0.000 0.000* 0.0002076 131 0.235 4.798 -0.010 0.000 0.000# 0.0002076 203 367.200 687.023 -0.665 0.000 0.000 0.000*2076 200 -375.133 -681.351 0.260 0.000 0.000 0.000#

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    Baseplate Trestle TR4

    Ref.: AISC Design of Structural Connections 4th Ed.

    1.- Input data

    Column Base Plate Weld Anchor Bolts Concrete Pier

    tfc 9.5mm f yi 250MPa fuw 480MPa f u 400MPa fc 40MPa

    tw 10mmdo 406.4mm di 510mm f yb 240MPa dp 900mm

    bi 510mm n b 4

    ti 40mm d 42mm

    Sg 380mm

    Design Loads

    Nc 1308.4KN ULS Compression

    Nt 833.9KN ULS Tension

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    2.- Calculations - Compression 0.6

    Ao do

    2

    4129717.1 mm

    2

    A1 bi d i 260100 mm2

    A2dp

    2

    40.6m

    2

    Nc min A1 0.85 fcA2

    A1

    A1 2 fc 8298.3 kN Design Capacity of Concrete in Compression

    AH max Nc

    0.85 fc

    A2

    Ao

    Nc

    2 fc

    28961.5 mm2

    a1di 0.8 do

    292.4 mm

    a2 bi 0.8d o

    292.4 mm

    am max a 1 a2 92.4 mm

    a3

    do do2

    4AH

    224.1 mm

    Nsc min 0.9 f yi ti2 A1

    2 am2

    0.9 f yi ti2 AH

    2 a32

    5478.9 kN Design Capacity of Base Plate in Compression

    Ndes.c min Nc Nsc 5478.9 kN Design Capcity in Compression

    chk "OK" Ndes.c

    Nc

    if

    "FAIL" otherwise

    chk "OK"

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    3.- Calculations - Tension

    1 0.9

    bfo bi do 103.6 mm

    dc1 do 406.4 mm

    btSg 2 dc1

    265.5 mm

    be 2 bt d 173 mm

    Design Strength of Base Plate in tension Ns1 be ti

    2 f yi

    4n b bt

    950.8 kN

    Lw do 1276.7 mm Total length of fillet weld

    kr 1 Lw 1.7mif

    1.1 0.06 Lw

    1000mm 1.7m Lw 8mif

    0.62 otherwise

    1 Table 9.7.3.10(2) AS4100

    vw 0 .8 0 .6 fuw tw

    2

    1.629 kN

    mm

    Nw kr vw Lw 2080 kN Design Capacity of fillet weld

    As 1121 mm2 Anchor bolt area

    Ntf 0.8 As f u 358.7 kN Design capacity of a single anchor bolt.

    Ntb n b Ntf 1434.9 kN Design Capacity of the bolt group in tension

    Ndes.t min Ns Nw Ntb 950.8 kN Design Capacity in Tension

    chk1 "OK" N des.t Ntif

    "FAIL" otherwise

    chk1 "OK"

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    Baseplate Trestle BACKSTAY

    Ref.: AISC Design of Structural Connections 4th Ed.

    1.- Input data

    Column Base Plate Weld Anchor Bolts Concrete Pier

    tfc 9.5mm f yi 250MPa fuw 480MPa f u 400MPa fc 40MPa

    tw 8mmdo 355.6mm di 610mm f yb 240MPa dp 900mm

    bi 610mm n b 4

    ti 40mm d 42mm

    Sg 440mm

    Design Loads

    Nc 687.1KN ULS Compression

    Nt 681.4KN ULS Tension

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    2.- Calculations - Compression

    0.6

    Ao do

    2

    499314.7 mm

    2

    A1 bi d i 372100 mm2

    A2dp

    2

    40.6m

    2

    Nc min A1 0.85 fcA2

    A1

    A1 2 fc 9925.4 kN Design Capacity of Concrete in Compression

    AH max Nc

    0.85 fcA2

    Ao

    Nc

    2 fc

    15077.1 mm2

    a1di 0.8 do

    2162.8 mm

    a2 bi 0.8d o

    2162.8 mm

    am max a 1 a2 162.8 mm

    a3

    do do2

    4AH

    214.1 mm

    Nsc min 0.9 f yi ti2 A1

    2 am2

    0.9 f yi ti2 AH

    2 a32

    2528.3 kN Design Capacity of Base Plate in Compression

    Ndes.c min Nc Nsc 2528.3 kN Design Capcity in Compression

    chk "OK" Ndes.c

    Nc

    if

    "FAIL" otherwise

    chk "OK"

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    Therefore a non standard thickness of 40 mm is okay for the backstay baseplate.

    Trestle legs anchor bolts verification:

    3.- Calculations - Tension

    1 0.9

    bfo bi do 254.4 mm

    dc1 do 355.6 mm

    btSg 2 dc1

    2133.3 mm

    be 2 bt d 308.7 mm

    Design Strength of Base Plate in tension Ns1 be ti

    2

    f yi4

    n b bt

    833.4 kN

    Lw do 1117.2 mm Total length of fillet weld

    kr 1 Lw 1.7mif

    1.1 0.06 Lw

    1000mm 1.7m Lw 8mif

    0.62 otherwise

    1 Table 9.7.3.10(2) AS4100

    vw 0 .8 0 .6 fuw tw

    2

    1.303 kN

    mm

    Nw kr vw Lw 1456 kN Design Capacity of fillet weld

    As 1121 mm2 Anchor bolt area

    Ntf 0.8 As f u 358.7 kN Design capacity of a single anchor bolt.

    Ntb n b Ntf 1434.9 kN Design Capacity of the bolt group in tension

    Ndes.t min Ns Nw Ntb 833.4 kN Design Capacity in Tension

    chk1 "OK" N des.t Ntif

    "FAIL" otherwise

    chk1 "OK"

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    The maximum interaction values and respective load combinations are shown in thefollowing table:

    Backstay anchor bolts verification:

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

    Anchor Bolts Check for TR4 (F6)

    d f = M42 nf = 4 Number of fasteners

    Ntf = 299.3 kN V*1 = V* / n f Shear per fastenerVfn = 214.7 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    2080 159 1.0 773.5 110.3 110.3 773.5 0.13 0.65 0.77 OK2084 130 2.208 833.87 90.629 90.7 833.9 0.11 0.70 0.80 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    The maximum interaction values and respective load combinations are shown in thefollowing table:

    Although there is a slight over utilisation ratio of 1%, it is accepted due to the constraintimposed in the design criteria to reduce the tension capacity of the anchor boltscompared to the tabulated values in Table T9.2 of Design Capacity Tables forStructural SteelCalculating the bolt capacities according to Design Capacity Tables for StructuralSteel, we have:The bolting category is 4.6/S.The minimum tensile strength is 400 MPa.The minimum yield strength is 240 MPa.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

    Anchor Bolts Check for TR4 (F6)

    d f = M42 nf = 4 Number of fasteners

    Ntf = 299.3 kN V*1 = V* / n f Shear per fastenerVfn = 214.7 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    2076 202 375.171 681.419 0.703 375.2 681.4 0.44 0.57 1.01 Accepted0 0 0 0 0 0.0 0.0 0.00 0.00 0.00 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    Bolt in shear with threads included in the shear planeThe bolt diameter is 42 mm.

    The bolt tensile stress area is As =1121 mm.The minor diameter area of the bolt is Ac = 1082 mm.The plain shank area of the bolt is Ao = 1385.4 mm.The capacity reduction factor is = 0.8The bolt tension capacity is Ntf = 0.8 x 1121 x 400 / 1000 = 358.7 kNThe bolt shear capacity is Vfn = 0.8 x 0.62 x 400 x 1082 / 1000 = 214.7 kN

    Therefore it is acceptable the overutilization ratio of 1% using the design criteriaspecification.

    The designation to be noted on the design drawing shall be as follows:Trestle TR4: BP 40 50 8Backstay: BSBP 40 50 8

    Anchor Bolts Check for TR4 (F6)

    d f = M42 nf = 4 Number of fasteners

    Ntf = 358.7 kN V*1 = V* / n f Shear per fastenerVfn = 214.7 kN T*1 = T* / n f Tension per fastener

    Load XAxis YAxis ZAxis V* T*Case Force Force Force kN kN

    2076 202 375.171 681.419 0.703 375.2 681.4 0.44 0.47 0.91 OK0 0 0 0 0 0.0 0.0 0.00 0.00 0.00 OK

    Node V* / Vfn T* / Ntf Interaction Cond

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    1.5 Continuous Truss System End Frame Base Plate to Trestle

    The connection between end frames and trestles denoted as continuous is as shownin the next figure.

    Figure 1.1 : Continuous Truss System End Frame Base Plate to Trestle Detail

    From Spacegass we have the following forces envelope:

    MEMBER FORCES AND MOMENTS (kN,kNm)------------------------- (*=Maximum, #=Minimum)

    Envelope = Load Cases 100-431and Members 772,1836,2566-2567,2763,2879,2957-2958,2960,2962,2966,

    2968,2970,2972and All Sections

    Load Axial Y-Axis Z-Axis X-Axis Y-Axis Z-AxisMemb Case Force Shear Shear Torsion Moment Moment

    2566 110 401.829* -74.455 21.031 -0.567 0.317 -0.0191836 130 -144.517# 134.832 -84.866 -0.689 0.321 0.0752567 208 203.641 183.373* 22.081 1.395 2.487 0.387

    772 209 36.132 -178.180# -6.625 1.485 2.470 -0.4072879 131 127.026 47.193 81.785* -0.090 0.058 -0.0791836 130 -144.516 134.832 -84.866# -0.689 0.404 -0.066

    772 256 55.514 -112.444 21.179 1.679* 2.387 -0.5721836 208 -28.119 119.728 -6.284 -2.000# 2.478 0.4602567 208 203.641 183.373 22.081 1.395 2.507* 0.601

    772 248 35.163 112.386 -34.847 -1.670 -2.438# 0.584

    2567 208 203.641 183.373 22.081 1.395 2.507 0.601*772 211 48.071 -151.699 13.395 1.567 2.474 -0.593#

    8

    2 - 26 HOLESFOR M24 BOLTS

    350 250

    18020 PL

    CL END FRAME

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    Maximum Tension case calculations

    The ULS axial tension force at the base plate is Nt* = 144.5 kN.The head frame leg section is 150UC37.2, with respective section depth of 162 mm.The base plate geometry is (depth x width x thick) 350 x 180 x 20 mm.The anchor bolts pitch is 250 mm.The flexible length in flexure of the base plate is 0.5 x (250 - 162) = 44 mm.The associated bending moment in the base plate assuming reverse curvature is M*=(144.5/2) x 44/2 = 1590 kNmm.The base plate moment capacity is Mbp = 0.9 x 300 x 88 x 20^2 / 4 / 1000 = 2376kNmm.The utilisation ratio is UR = 1590/2376 = 0.67 < 1.0 OK.

    The head stock section is 400WC181, with flange width of 400 mm, flange & webthickness of 20 mm. As there is a stiffener present, two way bending action occurs.The flexible length in flexure of the head stock flange transverse direction is 125 - 0.5

    x 20 = 115 mm.The critical bending occurs in the beam headstock direction. The proportion of theload to be supported in the flange/stiffener intersection is 1- (44 /115) = 0.62.The associated bending moment in the flange is M*=0.62 x (144.5/2) x 44 = 1971kNmm. As the flange and base plate have the same thickness Mflg = 2376 kNmm.The utilisation ratio is UR = 1971 / 2376 = 0.83 < 1.00 OK.

    Therefore the standard base plate & head stock beam flange are OK.

    250

    = =

    11512 PL STIFFENERSBOTH SIDES

    = =

    250200

    44

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    Maximum Compression case calculations

    In this case the compression from the end frame leg is a through force from thecolumn flanges to the stiffeners and therefore the base plate does not require furthercalculations. The critical components of this connection are head stock web stiffeners.

    The web stiffener thickness is 12 mm.The web stiffener yield strength is 300 MPa.

    The ULS compression force is Nc* = 401.8 kN. This force must be halved to bedistributed to each stiffener, i.e., Ncst* = 200.9 kN.

    Calculations

    The web clear depth is 390 - 2 x 20 = 350.0 mm.The stiffener shear area is 350.0 x 12 = 4200.0 mm.The shear buckling coefficient of the stiffener is [82 / ((350.0 / 12) (300 / 250))] =6.59.The design shear yield/buckling capacity of the stiffener is:0.9 x 0.6 x MIN (6.59; 1.0) x 300 x 4200.0 / 1000 = 680.4 kN. OK.

    The load is assumed as an end support.The edge clearance to the flange edge is 10 mm.The stiffener crop next to the web is 20 mm.The stiffener bearing length, Bbf , is 0.5 x (400 - 20) - 10 - 20 = 160.The stiffener bearing area is 160 x 12 = 1920 mm.The design bearing yield capacity is 0.9 x 1.25 x 1920 x 300 / 1E3 = 648.0 kN. OK.

    The web buckling width is 0.5 x (400 - 20) - 10 = 180 mm.The web buckling area is 180 x 12 = 2160.0 mm.The stiffener slenderness ratio is 2.5 x 350.0 / 12 = 72.9.The section form factor, kf , is 1.Buckling parameter n is 72.9 x 1 (300 / 250) = 79.9.

    = =

    bb

    bbf 12 PL STIFFENERSBOTH SIDES

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    Buckling parameter a is 2100 x (79.9 - 13.5) / (79.9 - 15.3 x 79.9 + 2050) = 19.34.Buckling parameter b is 0.5.Buckling parameter is 79.9 + 19.34 x 0.5 = 89.6.Buckling parameter is MAX (0.00326 x (89.6 - 13.5); 0.0) = 0.25.Buckling parameter is [(89.6 / 90) + 1 + 0.25] / [2 x (89.6 / 90)] = 1.13The slenderness reduction factor c is:MIN( 1.13 x { 1 - [ 1 - ( 90 / ( 1.13 x 89.6 ) ) ] } ; 1.0 ) = 0.612.The design buckling capacity is 0.9 x 0.612 x 1 x 575.0 x 12 x 300 / 1E3 = 356.9 kN.OK.

    The weld to web is 6 CFW SP.The weld capacity per unit length is vw = 0.978 kN/mm.The stiffener is to be welded to both sides.The weld length is then 350 - 2 x 20 = 310 mm.The total weld capacity is 2 x 310 x 0.978 = 606.4 kN. OK.

    For the anchor bolts, all the load combinations must be verified as a shear-tensioninteraction must be considered.

    Therefore all the anchor bolts verify the shear-tension interaction.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Series2

    Linear (Anchor Bolts Capacity Interaction Curve)

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    1.6 Sliding Join

    Accordinfollows;

    From Sconveyo

    Therefor For theanalysemoment

    s

    g to vendo

    ace Gass.

    e the slidin24 Gr. 4.6

    for each linduced by

    Vertical (DoMember

    2959

    Vertical (UpMember

    2961

    Lateral

    Member

    2959

    r drawing n

    we obtain

    bearing c anchor boload combithe lateral

    wn)

    Node

    557

    lift)

    Node

    578

    Node

    557

    o PW-498

    the maxim

    pacities ar lts attachenation as thear in th

    LC Nc*

    119 3

    LC Nt* 130

    LC Vz*

    131 7

    -2-2, the s

    um forces

    e adequate to the struhis bolt gr displaced

    (kN) Nm2.0 360

    (kN) Nm8.5 110

    (kN) Vm.4 150

    liding beari

    of the two

    .cture, eachups is su

    position of

    ax UR

    .0 0.84

    ax UR

    .0 0.17

    ax UR

    .0 0.52

    ing capaciti

    sliding joi

    sliding join jected tohe end fra

    Status

    Pass

    Status

    Pass

    Status

    Pass

    es are as

    nts in the

    t must betorsionale leg.

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    The boltThe boltThe boltThe boltThe numThe polaThe torsiThe sheThe sheThe resu For the

    All the re

    Lo

    C2961 1

    Member

    Figur

    tension cashear capagroup pitchgroup gauber of boltsr momentonal momer per bolt ir per bolt iltant shear

    orst case

    maining lo

    ad

    se30 578

    Node

    1.2 : Slidin

    acity is Ntcity with thr is 130 mme is 60 mm is nb=4f inertia is Int in the bo the X dire the Y dire

    per bolt is

    cenario, w

    d combina

    Axial YAForce She18.5 0.

    g joint bolt

    f = 113.0 keads inclu..

    p = 4 x 302 lt group isction is V*xbction is V*yb

    tpb* = (V* have:

    ions are in

    xis ZAxis Xar Shear T0 75.3

    group arran

    . ed in the s

    + 4 x 652 =* = V* x

    = V* / nb += M* x 30xb 2 + V*yb 2)

    luded in th

    Axis M*ansl'n kNmm3.7 277.0

    gement.

    ear plane i

    20500 mm(ULS).M* 65 / Ip.Ip..

    e next grap

    Vxb Vyb

    kN kN19.7 0.4

    s Vfn = 64.

    .

    h.

    VtpbkN

    19.7 1

    .3 kN.

    t*

    N8.5 0.35

    UR

    PassStatus

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    Therefore the anchor bolts are adequate.

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    S h e a r , V

    f *

    Tension, Ntf *

    Shear Tension Interaction Diagram

    Anchor Bolts Capacity Interaction Curve

    Shear&Tension forces on Anchor Bolts

    Linear (Anchor Bolts Capacity Interaction Curve)

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    1.7 E

    nd Frame ertical Di gonal Bra e Diagon l Connection

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    1.8 18 m Truss Vertical Chords Connections

    From Spacegass we have the following forces envelope:

    MEMBER FORCES AND MOMENTS (kN,kNm)------------------------- (*=Maximum, #=Minimum)

    Envelope = All Load Casesand Members 42-45,49-50,77-78,80-81,101-102,105-106,133-136,139-140,

    163-166,195-198,223-226,255-258,265-266,285-288,313-316,337-340,423-424,428,430,433,435,438,441-442,444,449-450,1878-1881,1885-1886,1913-1914,1916-1917,1937-1938,1941-1942,1969-1972,1975-1976,1999-2002,2031-2034,2059-2062,2091-2094,2101-2102,2121-2124,2149-2152,2173-2176,2259-2260,2264,2266,2269,2271,2274,2277-2278,2280,2285-2286

    and All Sections

    Load Axial Y-Axis Z-Axis X-Axis Y-Axis Z-AxisMemb Case Force Shear Shear Torsion Moment Moment

    44 319 163.853* 0.184 0.685 -0.009 0.000 0.000198 378 -32.875# -10.580 -2.039 0.000 0.853 -5.844424 309 13.117 14.889* -2.721 -0.009 1.086 -5.954136 308 24 .401 -11.022# 0.403 0.001 -0.333 2.369

    2150 129 82.326 -4.179 7.156* 0.084 0.000 0.00078 128 100.123 7.501 -9.062# -0.078 -4.790 3.726

    2092 129 46.315 -2.042 6.990 0.088* 0.000 0.00078 156 26.768 5.681 -7.526 -0.079# 0.000 0.000

    2152 105 95 .057 3.223 -5.262 -0.013 4.950* -2.94178 128 100.123 7.501 -9.062 -0.078 -4.790# 3.726

    134 128 51.714 9.708 -7.481 -0.074 -3.825 4.817*198 309 -22.923 -9.760 -2.752 -0.010 1.086 -5.954#

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    1.9 24 m Truss Vertical Chords Connections

    From Spacegass we have the following forces envelope:

    MEMBER FORCES AND MOMENTS (kN,kNm)------------------------- (*=Maximum, #=Minimum)

    Envelope = All Load Casesand Members 532-535,539-540,567-568,570-571,591-592,595-596,623-626,

    629-630,653-656,680-681,683-684,702-703,706-707,732-735,738-739,754,756,814-817,821-822,841-844,867-870,890,895,918,920,923,925,944-947,1012-1013,1015-1016,1036-1037,1040-1041,1068-1071,1074-1075,1098-1101,1125-1126,1128-1129,1147-1148,1151-1152,1177-1180,1183-1184,1190-1192,1203,1205,1227,1234-1235,1254-1257,1282-1285,1306-1309,1372,1375-1377,1382-1383,1414-1417,1440-1443,1463,1468,1491,1493,1496,1498,1517-1520,1564-1567,

    1574-1575,1594-1597,1622-16...and All Sections

    Load Axial Y-Axis Z-Axis X-Axis Y-Axis Z-AxisMemb Case Force Shear Shear Torsion Moment Moment

    534 319 273.405* 4.596 1.396 -0.010 0.000 0.000680 130 -44.416# -0.131 4.896 0.012 1.752 -0 .055739 379 6.168 19.908* -1.861 -0.007 0.740 -7 .911735 378 -41.144 -14.946# -0.834 0.008 1.016 0.513814 311 108.257 -11.321 14.715* -0.004 0.000 0.000

    2574 378 -0.055 2.472 -16.863# -0.007 6.745 -0.9882831 129 152.585 -6.607 9.726 0.300* 0.000 0.0002404 128 148.332 7.853 -7.655 -0.264# 0.000 0.000

    814 311 108.097 -11.340 14.715 -0.004 8.044* -5.887568 128 164.348 12.122 -12.175 -0.173 -6.450# 5.000

    1624 131 76.048 -8.169 0.424 0.036 -0.742 8.101*735 379 -40.852 -14.009 -1.745 -0.007 0.739 -7.911#

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    1.10 End Frame Moment Connection

    From Spacegass we have the following forces envelope:ColumnMEMBER FORCES AND MOMENTS (kN,kNm)------------------------- (*=Maximum, #=Minimum)

    Envelope = All Load Casesand Members 494and All Sections

    Load Axial Y-Axis Z-Axis X-Axis Y-Axis Z-AxisMemb Case Force Shear Shear Torsion Moment Moment

    494 310 338.294* -79.245 2.832 -0.004 -1.179 41.033494 159 -30.331# 40.118 4.234 -0.015 -0.001 23.400

    494 159 -30.004 40.118* 4.234 -0.015 -4.290 -16.437494 130 293.541 -90.459# 0.773 -0.001 0.046 43.973494 202 187.419 -28.011 8.781* -0.031 -8.135 11.860494 249 66.546 -19.947 -3.185# 0.013 3.300 12.061494 249 66.546 -19.947 -3.185 0.013* 3.300 12.061494 202 187.419 -28.011 8.781 -0.031# -8.135 11.860494 249 66.546 -19.947 -3.185 0.013 3.300* 12.061494 202 187.419 -28.011 8.781 -0.031 -8.135# 11.860494 130 293.541 -90.459 0.773 -0.001 0.046 43.973*494 130 293.104 -90.459 0.773 -0.001 0.003 -53.022#

    Beam

    MEMBER FORCES AND MOMENTS (kN,kNm)------------------------- (*=Maximum, #=Minimum)

    Envelope = All Load Casesand Members 973and All Sections

    Load Axial Y-Axis Z-Axis X-Axis Y-Axis Z-AxisMemb Case Force Shear Shear Torsion Moment Moment

    973 130 92.224* -37.538 0.304 -0.003 -0.439 36.028973 159 -41.078# 22.199 -0.175 0.001 0.106 -20.590973 159 -41.078 22.199* -0.175 0.001 0.106 -20.590973 130 92.224 -38.364# 0.304 -0.003 -0.045 -32.671973 130 92.224 -37.538 0.304* -0.003 -0.439 36.028973 131 -1.192 11.516 -0.195# -0.001 -0.070 -9.210973 183 -4.396 5.842 0.001 0.002* -0.242 -3.875973 310 80.860 -26.395 0.077 -0.003# -0.241 26.404973 256 6.351 3.757 -0.046 0.000 0.217* -3.219973 200 42.430 -15.076 0.070 -0.001 -0.605# 16.402973 130 92.224 -37.538 0.304 -0.003 -0.439 36.028*973 130 92.224 -38.364 0.304 -0.003 -0.045 -32.671#

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    L0 1

    A C

    A

    A C A

    MCON V3.60-OCT-12

    :23:19Connection

    Type Country Unitsesign code

    eam 1: Ma D =

    B =Tf =Tw =

    .Section m4100 5.2.3.Section s.5.11.2(a).Section t.Section c

    4100 6.2.1

    olumn: Ma D =

    B =Tf =Tw =

    .Section m4100 5.2.3.Section s.5.11.2(a).Section c4100 6.2.1Column ter Top flang

    : EF_MC

    : Welded Be: Australia: SI metric: AS 4100

    k=B1 Sect162 mm R154 mm

    12 mm8 mm

    ment capac

    ear capaci

    nsion capampression

    k=C1 Sect162 mm R154 mm

    12 mm8 mm

    ment capac

    ear capaci

    mpression

    inates...to end of

    am/Column

    ion=150UC37oot rad. =

    Area =Zx =Sx =

    ity . . .

    ty . . . .

    city . . .capacity .

    ion=150UC37oot rad. =

    Area =Zx =Sx =

    ity . . .

    ty . . . .

    capacity .

    column .

    .2 Grade 9 mm

    4730274000310000

    . 83.7

    . 226.7

    . 1298.5

    . 1277.1

    .2 Grade 9 mm

    4730274000310000

    . 83.7

    . 226.7

    . 1277.1

    . 6

    300 Angl fyf =

    fyw =fu =

    N.m

    N

    NN

    300fyf =fyw =

    fu =

    N.m

    N

    N

    m

    = 0.00300 MPa320 MPa440 MPa

    300 MPa320 MPa440 MPa

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    Welds:

    FPBW/480MPa/SP flanges.6 FW/480MPa/SP web.

    Stiffeners: Gr./fy/fu=250/260/410MPa Welds fu=480MPa/2/70 x10 top, 6 FW 100 at midpoint and across ends.2/70 x10 btm., 6 FW full length and across ends.

    MINIMUM ACTION CHECK(Minima are based on section capacity, not member capacity.)Specified minimum design actions:

    Bending 0% of Ms ( 83.7) = 0.00 kN.mShear 0% of Vs ( 226.7) = 0.0 kN

    0.0 kNTension 0% of Ns ( 1298.5) = 0.0 kNCompression 0% of Nc ( 1277.1) = 0.0 kNNOTE: Input design actions are not automatically increased if they are less than

    the specified minimum actions. Minimum actions may be set in any load case.This check warns if any design action is less than the specified minimum

    for all load cases.

    INPUT DESIGN ACTIONSBeam 1: Moment, M* . . . . . . . 53.0 kN.m

    Shear, V* . . . . . . . 38.4 kNAxial, N* . . . . . . . -92.2 kN (comp.)

    Column: Shear, V*c . . . . . . . -90.5 kNCompression, N*c . . . . 293.5 kN

    SECTION ANALYSIS RESULTSimplified analysis:

    Beam 1... Nft = 306.2t Nfc = 398.4cNwt = 0.0 Nwc = 0.0Mw = 0.00Vw = 38.4

    Elastic analysis:Beam 1... N*ft = 288.4t N*fc = 358.7c

    N*wt = 0.0 N*wc = 21.9cM*w = 4.33V*w = 38.4

    Plastic analysis:Beam 1... N*ft = 284.1t N*fc = 353.1c

    N*wt = 0.0 N*wc = 23.2cM*w = 5.07V*w = 38.4

    NOTE: Simplified analysis results used.

    Using ASI 2009 model...

    Ref. 42: Design Guide 11 - Welded Beam to Column Moment Connections (DG11)T.J. Hogan & N. van der Kreek - ASI - 2009

    DESIGN CAPACITY CHECKS...Capacity ratio Design action

    Design capacity Reference

    Section Bending/Axial:Flange tension yield capacity . . . . . . . 478.2 N*ft = 284.1 1.68 Pass

    Manual p.53Flange tension rupture capacity . . . . . . 596.1 N*ft = 284.1 2.10 PassFlange compression capacity . . . . . . . . 478.2 N*fc = 353.1 1.35 Pass

    CHECK 1 - Flange Welds:

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    Check not required for FPBW.

    CHECK 2 - Web Welds:Web shear force . . . . . . . . . 38.4 kN

    Web axial force . . . . . . . . . 0.0 kNWeb bending moment . . . . . . . 0.00 kN.mLength of web weld . . . . . . . 121 mm

    NOTE: This check uses method from AISC SDG 16 (Ref. 18).Length for shear resistance . . . 61 mmFor 6 FW/480MPa/SP both sides...Web fillet weld shear capacity (2 sides) . 118.5 V* = 38.4 3.09 PassEquivalent design moment, M*eq . 46.1 kN.mSection moment capacity . . . . . 83.7 kN.mBeam moment utilization ratio . . 55%Beam web axial capacity . . . . . 2.333 kN/mmMinimum weld design force (60%) . 1.400 kN/mm

    Fillet weld capacity . . . . . . 0.978 kN/mmWeb fillet weld axial capacity (2 sides) . 1.955 n*w = 1.400 1.40 Pass

    COLUMN-SIDE CHECKS...

    CHECK 3 - Unstiffened Column Flange Bending at Beam Tension Flange:NOTE: This capacity is required for checking stiffeners.Capacity reduced if column terminates within 10 x Tfc of top flange.Tfc . . . . . . . . . . . . . . 12 mmTop flange to end of column . . 6 115 No

    Capacity reduced for terminating column.Unstiffened col. flange capacity, Rft . . 111.6 N*ft = 306.2 0.36 Fail

    Informative

    CHECK 4 - Unstiffened Column Web Yielding at Beam Tension Flange:NOTE: This capacity is required for checking stiffeners.

    Capacity reduced if column terminates within Dc of top flange.Top flange to end of column . . . 6 162 No Capacity reduced for terminating column.Unstiffened col. web yield capacity, Rwt . 145.8 N*ft = 306.2 0.48 Fail

    Informative

    CHECK 5 - Unstiffened Column Web Yielding at Beam Compression Flange:NOTE: This capacity is required for checking stiffeners.

    Unstiffened col. web yield capacity, Rwy . 201.2 N*fc = 398.4 0.51 FailInformative

    CHECK 6 - Unstiffened Column Web Crippling at Beam Compression Flange:NOTE: This check not required with compression flange stiffeners.

    Column web crippling capacity, Rwc . . . . 422.5 N*fc = 398.4 1.06 PassInformative

    Compression flange stiffeners may not be required.

    CHECK 7 - Unstiffened Column Web Buckling at Beam Compression Flange:NOTE: This check not required with compression flange stiffeners.

    Column web buckling capacity, Rwb . . . . 413.3 N*fc = 398.4 1.04 PassInformative

    Compression flange stiffeners may not be required.

    CHECK 8/14 - Unstiffened Column Web Panel in Shear:Column web panel shear . . . . . 215.7 kNColumn web panel shear capacity, Vp . . . 226.7 V*p = 215.7 1.05 Pass

    ASI DG11 p.38

    CHECK 15 - Transverse Stiffeners at Beam Tension Flange:Stiffener width . . . . . . . . . 70 73 Yes

    70 73 YesStiffener effective width . . . . 70 mmStiffener thickness . . . . . . . 10.0 5.8 YesColumn flange capacity, Rft . . 111.6 kNColumn web yield capacity, Rwt . 145.8 kN

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    Unstiffened column capacity . . 111.6 kNFlange tension . . . . . . . . . 306.2 kN Stiffener design tension, N*ts 194.6 kNStiffener section yield...

    Stiffener yield capacity, Rfts . . . . . 327.6 N*ts = 194.6 1.68 PassEnd welds...Total end weld length . . . . . 220 mmStiffener end weld capacity, Rtw . . . . 215.1 N*ts = 194.6 1.11 Pass

    Side welds...Total side weld length . . . . . 400 mmStiffener side weld capacity, Rftw . . . 391.0 N*ts = 194.6 2.01 Pass

    CHECK 16 - Transverse Stiffeners at Beam Compression Flange:Stiffener width . . . . . . . . . 70 73 Yes

    70 73 YesStiffener thickness . . . . . . . 10.0 5.8 YesStiffener side weld . . . . . . . 109 89 YesDesign compression, N*cs . . . . 398.4 kNColumn web yield capacity, Rwy . 201.2 kNStiffener section yield...

    Stiffener yield capacity . . . . 327.6 kNStiffener/web cruciform section yield...

    Yield capacity, Rfcy . . . . . . . . . . 528.8 N*cs = 398.4 1.33 PassStiffener/web cruciform section buckling...

    Buckling capacity, Rfcb . . . . . . . . . 517.1 N*cs = 398.4 1.30 PassSide welds checked for force in excess of unstiffened column web capacity... Weld design force . . . . . . . 197.2 kN

    Total side weld length . . . . . 436 mmStiffener side weld capacity, Rfcw . . . 426.2 N*cs = 197.2 2.16 Pass

    CHECK 17 - Diagonal Shear Stiffeners:No diagonal shear stiffeners.

    CRITICAL LIMIT STATE . . . Column web panel shear capacity, VpUTILIZATION RATIO . . . . 95%CAPACITY RATIO, .Ru/S* . 1.051 Pass

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    1.11 B

    Fro MEMBE----- Envel

    Memb

    3018 3018 3018 3018

    3018 3018 3018 3018 3018 3018 3018 3018

    Ton

    ackstay C

    Space GaR FORCES AN-----------

    ope = All L and Membe and All S

    LoadCase

    129 8 128 -8 128 -8 102

    410 -7 411 7 319

    158158319234 -7

    409 7

    ue plate: 3

    32 PL

    nnection t

    ss we have MOMENTS (

    --------- (

    oad Casesrs 3018ections

    AxialForce

    20.267*25.984#18.308-3.820

    76.61577.8114.5143.3863.3864.514

    69.71977.912

    mm

    o Head St

    the followiN,kNm)=Maximum, #

    -Axis ZShear

    5.363 -1.4925.654*2.342#

    4.9634.675 -2.0801.560 -1.560 -2.0804.8604.676 -

    171

    ck

    g envelop

    =Minimum)

    -Axis XShear To

    0.1910.3460.3460.055

    0.533*0.347#0.3470.114 -0.114 -0.3470.3880.017

    291

    forces:

    Axis Y-sion Mo

    .546 -1

    .188 0

    .188 -0

    .281 0

    .377 -0.496 -0

    .739* -3

    .586# 1

    .586 1

    .739 -3

    .021 -0

    .554 -1

    207

    Axis Z-ment Mo

    .007 0

    .000 0

    .347 0

    .000 0

    .695 0.915 0

    .208 0

    .081 0

    .081* 0

    .208# 0

    .039 0

    .022 0

    355.6x9.5

    30

    Axisment

    .000

    .000

    .000

    .000

    .000.000

    .000

    .000

    .000

    .000

    .000*

    .000#

    HS

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    Cover plates: 20 mmWhitmores width: 291 mmCompression effective length: 207 mm

    LIMCON V3.6002-OCT-12

    15:47:54Connection: Backstay

    Type: Bracing Cleat12: Slotted HSS with bolted cover plates

    Country: AustraliaUnits: SI metric

    Design code: AS 4100

    Brace: Mark=BR Section=355.6X9.5CHS Grade=C350 Angle= 30.00D = 356 mm Area = 1.0300E+04 fy = 350 MPa

    T = 10 mm Zx = 871000 fu = 430 MPaSx = 1140000.Section tension capacity . . . . 3244.5 kN.Section compression capacity . . 3253.8 kN

    AS4100 6.2.1

    Attached plate:511x390x32 Gr./fy/fu=250/250/410MPaWeld 8 FW/480MPa/SPLength of weld, Lw . . . . . . . 356 mmRatio, Lw/D . . . . . . . . . . . 1.00End of plate is welded to HSS.

    Cover plates:290x360x20 Gr./fy/fu=250/250/410MPa

    Column/Chord: Section=150UC23.4 Grade=300D = 152 mm Root rad. = 9 mm fyf = 320 MPaB = 152 mm Area = 2980 fyw = 320 MPa

    Tf = 7 mm Zx = 166000 fu = 440 MPaTw = 6 mm Sx = 184000

    .Section tension capacity . . . . 858.2 kN

    .Section compression capacity . . 858.2 kNAS4100 6.2.1

    Brace connected to column web.

    Cleat:312x360x32 Gr./fy/fu=250/250/410MPaBolts 8 x M20 8.8/S/N in 4 cols. at 70 pitch and 70 gauge.Bolt hole dia. . . . . . . . . . 22 mmWeld to support 10 FW/480MPa/SPWP to end of brace . . . . . . . 327 mm

    Whitmore section (not used) . . . 291 mm

    Clearances:Column to brace clearance . . . . 59 mmGusset to brace clearance . . . . 15 mmSplice gap . . . . . . . . . . . 10 mm

    BILL OF MATERIALSBolts:

    16 no. - M20 8.8/S/N x 110 long . . . . . . 9.1 kg

    MINIMUM ACTION CHECK(Minima are based on section capacity, not member capacity.)Specified minimum design actions:

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    Tension 0% of Ns ( 3244.5) = 0.0 kNCompression 0% of Nc ( 3253.8) = 0.0 kNNOTE: Input design actions are not automatically increased if they are less than

    the specified minimum actions. Minimum actions may be set in any load case.

    This check warns if any design action is less than the specified minimumfor all load cases.

    DESIGN CHECK SUMMARYCase N* LF Util.

    1 -820c 1.65 61%2 826t 1.64 61%

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    Slotted HSS - tension:HSS wall shear capacity . . . . . . . . . . 2553.9 N' = 742.6 3.44 PassAttached plate shear capacity . . . . . . . 4083.4 N' = 742.6 5.50 Pass

    HSSCM p.6-22

    Shear lag in HSS wall...Slot length . . . . . . . . . . 356 mmSection width . . . . . . . . . 356 mmL/w . . . . . . . . . . . . . . 0.68Shear lag factor . . . . . . . . 0.62

    Ref.25 p.253HSS wall shear lag capacity . . . . . . . 2100.7 N' = 742.6 2.83 PassHSS wall shear lag capacity (Ref.1) . . . 2122.4 N' = 742.6 2.86 Pass

    InformativeShear lag in attached plate...

    L/w . . . . . . . . . . . . . . 1.00Shear lag factor . . . . . . . . 0.75

    Ref.25 p.253Shear lag capacity . . . . . . . . . . . . 3022.1 N' = 742.6 4.07 Pass

    Ref.25 p.253

    Cover plates:Cover plates bolt bearing . . . . . . . . . 7557.1 N* = 826.0 9.15 Pass

    AS4100 9.3.2.4Cover plates internal bolt tearing . . . . 6848.6 N* = 826.0 8.29 Pass

    AS4100 9.3.2.4Cover plates end bolt tearing . . . . . . . 4014.7 N* = 826.0 4.86 Pass

    AS4100 9.3.2.4Cover plates tension yield . . . . . . . . 3240.0 N* = 826.0 3.92 Pass

    AS4100 7.2Cover plates tension rupture . . . . . . . 3412.5 N* = 826.0 4.13 Pass

    AS4100 7.2Cover plates block shear capacity . . . . . 2716.2 N* = 826.0 3.29 Pass

    Simple cleat:ASI CHECK NO. 2

    Cleat bolt bearing . . . . . . . . . . . . 6045.7 N* = 826.0 7.32 PassAS4100 9.3.2.4

    Cleat internal bolt tearing . . . . . . . . 5478.9 N* = 826.0 6.63 PassAS4100 9.3.2.4

    Cleat end bolt tearing . . . . . . . . . . 3211.8 N* = 826.0 3.89 PassAS4100 9.3.2.4

    ASI CHECK NO. 4Cleat tension yield . . . . . . . . . . . . 2592.0 N* = 826.0 3.14 Pass

    AS4100 7.2Cleat tension rupture . . . . . . . . . . . 2730.0 N* = 826.0 3.31 Pass

    AS4100 7.2ASI CHECK NO. 3

    Cleat block shear capacity . . . . . . . . 2173.0 N* = 826.0 2.63 Pass10 FW/480MPa/SPLength of weld to support . . . . 416 mm

    ASI CHECK NO. 5Support fillet weld capacity . . . . . . . 1354.5 N* = 826.0 1.64 Pass

    CRITICAL LOAD CASE . . . . 2CRITICAL LIMIT STATE . . . Support fillet weld capacityUTILIZATION RATIO . . . . 61%CAPACITY RATIO, .Ru/S* . 1.640 Pass

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    1.12 Sliding Join Support

    400WC

    etail

    144

    1640

    FL FLGWC144 FL

    xt. to suitG THK