Mathcad - Laydown Area Deck Plate

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deck plate design in laydown areas

Transcript of Mathcad - Laydown Area Deck Plate

  • DECK PLATE - LAYDOWN AREApg 1 of 3

    Deck Plate for Live Load

    Case 1: U niform Live Load of 20kN/m 2

    Live Load q 20kN

    m2

    Thickness of plate t 10mmWidth of plate b 1.1mLength of plate a 1.125m

    Young's modulus of steel E 2 105 MPaYield stress of steel Fy 355MPa

    Safety factor for bending of plate as per AISC-ASD design 1.67

    Allowable bending stress of plate as per AISC F.6 b1.5Fy

    318.862 MPaNote: 1.5 is the shape factor for plates (plastic section modulus / elastic section modulus)

    As per Roark's table 11.4, case 8a:

    x

    1

    1.2

    1.4

    1.6

    1.8

    2.0

    1

    0.3078

    0.3834

    0.4356

    0.4680

    0.4872

    0.4974

    2

    0.1386

    0.1794

    0.2094

    0.2286

    0.2406

    0.2472

    0.0138

    0.0188

    0.0226

    0.0251

    0.0267

    0.0284

    for aspect ratio zab

    1.023

    1 linterp x 1 z z 2if0.5 otherwise

    0.316

    2 linterp x 2 z z 2if0.25 otherwise

    0.143

    linterp x z( ) z 2if0.0284 otherwise

    0.0144

    moment at center of long edge max1 q b2

    t276.567 MPa

  • DECK PLATE - LAYDOWN AREApg 2 of 3

    maximum deflection ymax q b4

    E t32.104 mm

    UCbendingmaxb

    0.24

    Allowable deflection yallowb

    2005.5 mm

    "O.K" ymax yallowif"Not O.K" otherwise

    "O.K"

    Case 2: Concentrated load of 40kN

    Concentrated load P 40kNLoading dimensions: la 300mm lb 300mm

    equivalent radius of contact area r0la lb

    169.257 mm

    As per Roark's table 11.4, case 8b:

    x

    1

    1.2

    1.4

    1.6

    1.8

    2.0

    1

    0.2380.078

    0.011

    0.053

    0.068

    0.067

    2

    0.7542

    0.8940

    0.9624

    0.9906

    1.000

    1.004

    0.0611

    0.0706

    0.0754

    0.0777

    0.0786

    0.0788

    for aspect ratio zab

    1.023

    1 linterp x 1 z z 2if0.067 otherwise

    0.22

    2 linterp x 2 z z 2if1.008 otherwise

    0.77

    linterp x z( ) z 2if0.0791 otherwise

    0.0622

    moment at center of long edge max2 P

    t2308.035 MPa

  • DECK PLATE - LAYDOWN AREApg 3 of 3

    maximum deflection ymax P b2

    E t315.047 mm

    UCbendingmaxb

    0.966

    Allowable deflection yallowb

    2005.5 mm

    "O.K" ymax yallowif"Not O.K" otherwise

    "Not O.K"