calculation note roof truss design.pdf

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  • 8/13/2019 Calculation Note Roof Truss Design.pdf

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    Project: Warehouse Calculation Note

    I. (DESIGN STANDARD AND SPECIFICATION )

    1.1 (Design Criteria)

    AISCThe design criteria for steel structures shall be conformed to AISC Specification.

    ASCEAll design load and wind load calculation method on the building shall be conformed to ASCE.

    1.2 (Design Codes and Specification)

    Generally, Codes and Standards are complied with international standards.

    The codes and standards adopted are listed below:

    - AISC 360-05 - AISC 360-05 for Structural Steel Design

    - ASTM - ASTM SPECIFICATION for Materails use

    - AWS - AWS for Structural Welding Code-Steel

    - ASCE 7-05

    - ASCE 7-05 for Minimum Design Loads on Structures

    - IBC 2009 / ASCE 7-05 - IBC 2009 / ASCE 7-05 for Load Combination

    1.3 (Materials)

    The materials used in the structures and accessories shall be conformed to the following:

    -

    (structural member) ASTM A36M or Equivalent

    - (steel plate) ASTM A36M or Equivalent

    - (bolt) ASTM A325M or Equivalent- (Nut) ASTM A325M or Equivalent- (spring washer) ASTM A436 or Equivalent

    Calculated by: SOK RASMEY, MEng. ETC Page-1-

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    :

    : ASTM

    :

    Calculated by: SOK RASMEY, MEng. ETC Page-2-

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    : 1.4 (Load Factor and Load Combination)

    AISC ASCE 7 (ASEC 2005) LRFD (Load and Resistance Factor Design)

    U 1 4 D F =

    U 1 2 D F T 1 6 L H 5 L r S R =U 1 2D 1 6W 1 L 5 L r S R =U 1 2D 1 E 1 L 2S=

    U 9D 1 6W 1 6H =

    U 9D 1 E 1 6H =

    D =

    E = F = H =

    T = L = Lr = W = S = R =

    1.5 (Strength Reduction or Resistance Factors)

    1.0 AISC

    Calculated by: SOK RASMEY, MEng. ETC Page-3-

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    II. (DESIGN OF ROOF TRUSS)

    2.1 (Geometric Roof Truss)

    : 2D

    : 3DCalculated by: SOK RASMEY, MEng. ETC Page-4-

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    (Truss spacing) S 6 25m

    (Length of truss) L 3 m

    (Truss height) h 1 5m

    (Roof height) H 3 m

    (Slop angle) atan H 5L

    11 31 deg

    (Number of panel) n 2

    (Length of panel) dL

    n cos 1 53 m

    2.2 (Load on Roof Truss)

    2.2.1 (Weigth of Structural and roof materials)

    (Wiegth of top and bottom chord)

    w2L4x4x1 3125 24 4 5kgfm

    (Wiegth of diagonal member)

    w2L2 52 51 1875 9 137kgfm

    (Wiegth of vertical member)

    w2L2 52 51 1875 9 137kgfm

    (Wiegth of bracing)

    wL3x3x 1875 1 6kgfm

    (Wiegth of purlin)

    wC15 753 2 7 37kgfm

    2.2.2 (Design load)

    (steel sheet and insulation)

    Sheet 15kN

    m2

    (Suspended ceiling & Mechanical)

    Ceiling 4kN

    m2

    (Roof live load) Lr 5kN

    m2

    (Wind load) Wind 5kN

    m2

    - (Load on joint/concentrated load )

    Calculated by: SOK RASMEY, MEng. ETC Page-5-

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    (Tributary area) AT S d 9 561 m2

    1. (Dead)

    PDL Sheet A T Ceiling A T cos 5 184 kN

    2. (Roof live)

    PLr Lr AT cos 4 688 kN

    3. (Wind)

    Pw Wind AT 4 78 kN

    (Robot) 2.2.3 (Axial Force)i. (Lower Chord)

    (Dead): NDL 22 59 kN 65 75 kN 88 34 kN

    (Roof live): NLr 59 46kNNw 6 62kN (Wind):

    (Combination):

    Nu1 1 4N DL 123 676 kN

    Nu2 1 2 N DL 5 N Lr 135 738 kN

    Nu3 1 2N DL 1 6N w 5N Lr 232 73 kN

    Nbot max Nu1 Nu2 Nu3 232 73 kNii. (Upper Chord)

    (Dead): PDL 47 37 kN 132 9 kN 179 46 kN

    (Roof live): PLr 119 46kNPw 121 8 kN (Wind):

    (Combination):

    Pu1 1 4P DL 251 244 kN

    Pu2 1 2 P DL 5 P Lr 275 82 kN

    Calculated by: SOK RASMEY, MEng. ETC Page-6-

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    Pu3 1 2P DL 1 6P w 5P Lr 469 962 kN

    Ptop max Pu1 Pu2 Pu3 469 962 kN

    iii. (Diagonal)

    (Dead): NDL 14 71 kN 43 99 kN 58 7 kN

    (Roof live): NLr 39 78kNNw 4 56kN (Wind):

    (Combination):

    Nu1 1 4N DL 82 18 kN

    Nu2 1 2 N DL 5 N Lr 9 33 kN

    Nu3 1 2N DL 1 6N w 5N Lr 155 226 kN

    Ndia max Nu1 Nu2 Nu3 155 226 kNiv. (Post / Vertical Web)

    (Dead): PDL 11 89 kN 36 94 kN 48 83 kN

    (Roof live): PLr 33 41kNPw 34 6kN (Wind):

    (Combination):

    Pu1 1 4P DL 68 362 kN

    Pu2 1 2 P DL 5 P Lr 75 3 1 kN

    Pu3 1 2P DL 1 6P w 5P Lr 129 797 kN

    Ppost max Pu1 Pu2 Pu3 129 797 kN (Result from analysis)

    Axial force in top chord Pt Ptop 469 962 kN

    Axial force in bottom chord P b Nbot 232 73 kN

    Axial force in post member P p Ppost 129 797 kN

    Calculated by: SOK RASMEY, MEng. ETC Page-7-

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    Axial force in diagonal member P d Ndia 155 226 kN

    2.3 (Design of Truss Members)

    Steel yield strength F y 36ksi 248 211 MPa

    Modulus of elasticity of steel E 2 15

    MPa

    2.3.1 (Design of Upper Chord)Factored load P u Pt 469 962 kN

    Length of member L d 1 53 m

    For section 2L 102x102x7.9 Imin 3 13 16

    mm4

    Ag 31 mm2

    rIminAg

    31 775 mm

    Effective length factor K 1

    Slenderness ratio K L

    r48 141

    K Lr

    2 , OK

    Slenderness parameter cK Lr

    FyE 54

    Critical buckling stress

    Fcr 658 c 2 Fy c 1 5f

    877

    c2

    Fy otherwise

    Fcr 219 7 9 MPa

    Resistance factor for compressive members c 85

    Nominal compression strength P n Ag Fcr 681 98 kN

    Calculated by: SOK RASMEY, MEng. ETC Page-8-

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    Safety factor FSPu

    c Pn 812

    2.3.2 (Design of Lower Chord)

    Factored force P u Pb 232 73 kN

    Length of member L d 1 53 m

    For section 2L 76x76x6.4 Ag 185 mm2

    Resistance factor for tensile member t 9

    Nominal strength P n Fy Ag 459 191 kN

    Safety factor FSPu

    t Pn 563

    2.3.3 (Design of Diagonal)

    Factored force P u Pd 155 226 kN

    For section 2L 64x64x4.8 Ag 116 mm2

    Resistance factor for tensile member t 9

    Nominal strength P n Fy Ag 287 925 kN

    Safety factor FSPu

    t Pn 599

    2.3.4 (Design of Post)

    Factored load Pu Pp 129 797 kN

    Length of member L 1 5m

    For section 2L 64x64x4.8 Imin 466 16

    mm4

    Ag 116 mm2

    rIminAg

    2 43 mm

    Calculated by: SOK RASMEY, MEng. ETC Page-9-

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    Project: Warehouse Calculation Note

    x2x1 x2

    72 P 1x2

    x1 x2 P u 169 2 9 kN

    x1x1 x2

    28 P 2x1

    x1 x2 P u 65 772 kN

    Lengths of welds

    L1 maxP1

    7 7 w F w 4 w

    297 6 4 mm

    L1w

    49 6 1

    L2 maxP2

    7 7 w F w 4 w

    115 679 mm

    L2w

    19 28

    Lower Chord

    Weld size w 5mm

    Centroid of section 102x102x7.9 x1 28 55mm

    x2 1 2mm x 1 73 45 mm

    Factored load P u

    Pb2 116 365 kN

    x2x1 x2

    72 P 1x2

    x1 x2 Pu 83 794 kN

    x1x1 x2

    28 P 2x1

    x1 x2 Pu 32 571 kN

    Lengths of welds

    L1 maxP1

    7 7 w F w 4 w

    176 852 mm

    L1w

    35 37

    L2 maxP2

    7 7 w F w 4 w

    68 742 mm

    L2w

    13 748

    Diagonal Member

    Weld size w 3mm

    Calculated by: SOK RASMEY, MEng. ETC Page-11-

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    Project: Warehouse Calculation Note

    Centroid of section L64x64x4.8 x1 17 645 mm

    x2 64mm x 1 46 355 mm

    Factored load P uPd

    277 613 kN

    x2x1 x2

    724 P 1x2

    x1 x2 P u 56 215 kN

    x1x1 x2

    276 P 2x1

    x1 x2 P u 21 398 kN

    Lengths of welds

    L1 maxP1

    7 7 w F w 4 w

    197 74 mmL1w

    65 913

    L2 maxP2

    7 7 w F w 4 w

    75 27 mm

    L2w

    25 9

    Post Member

    Centroid of section L64x64x4.8 x1 17 645 mm

    x2 64mm x 1 46 355 mm

    Factored load P uPp2

    64 898 kN

    x2x1 x2

    724 P 1x2

    x1 x2 P u 47 6 kN

    x1x1 x2 276 P 2

    x1x1 x2 P u 17 893 kN

    Lengths of welds

    L1 maxP1

    7 7 w F w 4 w

    165 347 mm

    L1w

    55 116

    L2

    maxP2

    7 7 w F w 4 w

    62 939 mm

    L2

    w2 98

    Calculated by: SOK RASMEY, MEng. ETC Page-12-