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Elastomeric Bearings RCC Bridge Over R. Subarnarekha On Purulia-Ranchi Road

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The document discusses the design calculation of elastomeric bearings for a bridge over the Subarnarekha River on the Purulia-Ranchi Road in India.

The design calculation is for elastomeric bearings that will be used in an RCC bridge over the Subarnarekha River on the Purulia-Ranchi Road in India.

The design parameters considered include the maximum and minimum vertical loads, maximum horizontal load, permissible translations and rotations.

Doc No: 701811-EB-DESIGN-R01

Ref: 701811 Design Calculation


Date: May 28, 2015

Project: RCC bridge over R. Subarnarekha on


Prep. By: SYM Approved: SMA Page 1 of 3
Purulia-Ranchi Road

Elastomeric Bearings
RCC Bridge over R. Subarnarekha on
Purulia-Ranchi Road

DESIGN CALCULATION FOR Elastomeric


BEARINGS

CLIENT: Millenium Road Construction Company

mageba BRIDGE PRODUCTS PVT. LTD.


KOLKATA
Page 2 of 3
Rev. 1

CLIENT: Millenium PROJECT: RCC Bridge over river Subarnarekha on


Road Construction Purulia-Ranchi Road
Company
DESIGN OF REINFORCED ELASTOMERIC BEARING

1.0 REFERENCE:
Drawing No. 2-eb C 08 3 -701811 R0 Reference : IRC:83 (Part-II)

2.0 DESIGN PARAMETERS :


Design Vertical Load, Nmax = 454.7 KN Translation Long, Ƴd long = 54 mm
Design Horizontal Load, Hmax = 55.5 KN Translation Lat, Ƴd lat = 54 mm
Minimum Vertical Load, Nmin = 192.0 Rotation Long, ɑ long = 4.74E-03 mm
Grade of Concrete = M35 Rotation Lat, ɑ lat = 4.64E-03 mm

3.0 BEARING PARAMETERS :


Length, lo = 280.0 mm No of Elastomer Layer, n = 3.0
Width, bo = 320.0 mm No of Steel Laminate, n+1 = 4.0
Total Height, ho = 48.0 mm Side Cover, C = 6.0 mm
Thickness of individual elastomer layer, hi = 8.0 mm Top & Bottom Cover, he = 6.0 mm
Thickness of steel laminate, hs = 3.0 mm Effective Area, (lo-2c)x(bo-2c) = 82544.0 mm2
Total Elastomer thickness, h = 36.0 mm

4.0 DESIGN CHECK :


4.1 Compressive Stress (Cl 916.3.3)
Allowable max compressive stress = 10 Mpa
Allowable min compressive stress = 2.0 Mpa
Maximum Compressive Stress, σmax=Nmax/A = 5.5 Mpa HENCE OK
Minimum Compressive Stress, σmin=Nmin/A = 2.3 Mpa HENCE OK
Shape factor, S=0.5x(lxb)/(l+b)xhi = 8.96 <=12 HENCE OK

4.2 Translation (Cl. 916.3.4) :


Allowable Shear strain, Ƴd = 0.7
Shear Stress, Ԏm=H/A = 0.67 Mpa
Shear strain, Ƴd=∆bd/h+Ԏmd = 0.672 <Ƴd HENCE OK

4.3 Rotation (Cl. 916.3.5) :


β=σm/10 = 0.6
Max perm. Rotation angle along b, ɑbi max=0.5xσmxhi/bxS2 = 1.62E-03 <ɑ HENCE OK
Design Rotation = 0.0027 rad

4.4 Friction (Cl. 916.3.6)


0.2+0.1xσm = 0.75 >Ƴd HENCE OK

4.5 Total shear stress (Cl. 916.3.7)


Ԏc=1.5xσm/s = 0.92
ԎƳ=Ƴd = 0.67
Ԏɑ=0.5x(b/hi)^2 = 2.41
Ԏc+ԎƳ+Ԏɑ = 4.0 <5 HENCE OK
Page 3 of 3
Rev. 1

CLIENT: Millenium PROJECT: RCC Bridge over river Subarnarekha on


Road Construction Purulia-Ranchi Road
Company
DESIGN OF REINFORCED ELASTOMERIC BEARING

1.0 REFERENCE:
Drawing No. 2-eb C 08 3 -701811 R0 Reference : IRC:83 (Part-II)

2.0 DESIGN PARAMETERS :


Design Vertical Load, Nmax = 749.7 KN Translation Long, Ƴd long = 54 mm
Design Horizontal Load, Hmax = 55.5 KN Translation Lat, Ƴd lat = 54 mm
Minimum Vertical Load, Nmin = 289.0 KN-M Rotation Long, ɑ long = 7.64E-03 mm
Grade of Concrete = M35 Rotation Lat, ɑ lat = 5.32E-03 mm

3.0 BEARING PARAMETERS :


Length, lo = 280.0 mm No of Elastomer Layer, n = 3.0
Width, bo = 320.0 mm No of Steel Laminate, n+1 = 4.0
Total Height, ho = 48.0 mm Side Cover, C = 6.0 mm
Thickness of individual elastomer layer, hi = 8.0 mm Top & Bottom Cover, he = 6.0 mm
Thickness of steel laminate, hs = 3.0 mm Effective Area, (lo-2c)x(bo-2c) = 82544.0 mm2
Total Elastomer thickness, h = 36.0 mm

4.0 DESIGN CHECK :


4.1 Compressive Stress (Cl 916.3.3)
Allowable max compressive stress = 10 Mpa
Allowable min compressive stress = 2.0 Mpa
Maximum Compressive Stress, σmax=Nmax/A = 9.1 Mpa HENCE OK
Minimum Compressive Stress, σmin=Nmin/A = 3.5 Mpa HENCE OK
Shape factor, S=0.5x(lxb)/(l+b)xhi = 8.96 <=12 HENCE OK

4.2 Translation (Cl. 916.3.4) :


Allowable Shear strain, Ƴd = 0.7
Shear Stress, Ԏm=H/A = 0.67 Mpa
Shear strain, Ƴd=∆bd/h+Ԏmd = 0.672 <Ƴd HENCE OK

4.3 Rotation (Cl. 916.3.5) :


β=σm/10 = 0.9
Max perm. Rotation angle along b, ɑbi max=0.5xσmxhi/bxS2 = 1.62E-03 <ɑ HENCE OK
Design Rotation = 0.0044 rad
4.4 Friction (Cl. 916.3.6)
0.2+0.1xσm = 1.11 >Ƴd HENCE OK

4.5 Total shear stress (Cl. 916.3.7)


Ԏc=1.5xσm/s = 1.52
ԎƳ=Ƴd = 0.67
Ԏɑ=0.5x(b/hi)^2 = 2.41
Ԏc+ԎƳ+Ԏɑ = 4.6 <5 HENCE OK

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