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Calculation of Deck Strenght When Longitudinal Girders Are 3100mm Away and No Supports in Between

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Calculation of Deck Strenght when Longitudinal Girders are 3100mm away

and no supports in between


Transverse Beam Check
The Effective Cross Section of Transverse Beam is given below

Section Modulus
Maximum Allowable Bending Stress
Maximum Bending Moment

184,905.07
155.1

mm3
N/mm2

28678776

Nmm

3100
760
23.874111
0.0314133
3.202

mm

Shear Force

37004.873

Shear Stress

37.004873

N/mm2

94

N/mm2

M = wl2/8
Support Spacing
Frame Spacing
w

Allowable Shear Stress

N/mm
N/mm2
Tonnes/Sqm

Plate Check
Length of Plate (a)
Width of Plate (b)
a/b
For a/b=1.52,

760.000
500.000
1.520

mm
mm

0.517
0.091
0.491
2

Maximum Load, q= x t /(xb )


0.120

The Maximum Load plate can bear

N/mm2

12.228
12.228

Tonnes/Sqm
Tonnes/Sqm

12.228

Tonnes/Sqm

Plate Deflection
Maximum Load
Maximium Deflection

(- x q x b^4)/(E x t^3)

Allowable Deflection

L/300

3.396
2.533
Hence Maximum Limited Load
9.121
Tonnes/Sqm
The maximum available Deck Strength is limited to 9.12 Tonnes/Sqm
Longitudinal Stiffener Check
The Effective Cross Section is given Below

Section Modulus
Maximum Allowable Bending Stress

86537.04
155.1

mm3
N/mm2

Maximum Bending Moment

13421895

Nmm

760
500
185.89882

mm
mm
N/mm

37.899862

Tonnes/Sqm

Shear Force

70641.552

Shear Stress

88.30194

N/mm2

94

N/mm2

M = wl2/8
Support Spacing
Long Stiffener Spacing
w

Allowable Shear Stress


Hence Okay
Since by three checks, the maximum Deck Strength is

3.202 Tonnes/Sqm

Calculation of Deck Strenght when two additional supports are placed in


between Longitudinal Girders
Transverse Beam Check
The Effective Cross Section of Transverse Beam is given below

Section Modulus
Maximum Allowable Bending Stress
Maximum Bending Moment

184,905.07
155.1

mm3
N/mm2

28678776

Nmm

1034
760
214.59002
0.2823553
28.78

mm

Shear Force

110943.04

Shear Stress

110.94304

N/mm2

94

N/mm2

M = wl2/8
Support Spacing
Frame Spacing
w

Allowable Shear Stress

N/mm
N/mm2
Tonnes/Sqm

Plate Check
Length of Plate (a)
Width of Plate (b)
a/b
For a/b=1.52,

760.000
500.000
1.520

mm
mm

0.517
0.091
0.491
2

Maximum Load, q= x t /(xb )


0.120

The Maximum Load plate can bear

N/mm2

12.228
12.228

Tonnes/Sqm
Tonnes/Sqm

12.228

Tonnes/Sqm

Plate Deflection
Maximum Load
Maximium Deflection

(- x q x b^4)/(E x t^3)

Allowable Deflection

L/300

3.396
2.533
Hence Maximum Limited Load
9.121
Tonnes/Sqm
The maximum available Deck Strength is limited to 9.12 Tonnes/Sqm
Longitudinal Stiffener Check
The Effective Cross Section is given Below

Section Modulus
Maximum Allowable Bending Stress

86537.04
155.1

mm3
N/mm2

Maximum Bending Moment

13421895

Nmm

760
500
185.89882

mm
mm
N/mm

M = wl2/8
Support Spacing
Long Stiffener Spacing
w

37.90

Tonnes/Sqm

Shear Force

70641.552

Shear Stress

88.30194

N/mm2

94

N/mm2

Allowable Shear Stress

Hence Okay
Since by three checks, the maximum Deck Strength is

9.121 Tonnes/Sq m

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