Mathcad - Laydown Area Deck Plate
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Transcript of Mathcad - Laydown Area Deck Plate
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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
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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
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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"