load reduction and arching

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Load Reduction and Arching on Buried Rigid Culverts

Using EPS Geofoam.

Instrumented Field Tests and Design Method

Jan Vaslestad, NPRA, jan.vaslestad@vegvesen.no

Murad S. Sayd, NPRA, murad.sayd@vegvesen.no

Tor H. Johansen, NPRA, tor-helge.johansen@vegvesen.no

Louise Wiman, NPRA, louwim@vegvesen.no

What is the imperfect ditch method?

Instrumented field installations from Canada, USA and

China

Four instrumented field installations from Norway

Design method

Comparison of measured earth pressure with design

method

Conclusion

Imperfect Ditch Method

Imperfect Ditch Method (induced trench)

Measured earth pressure from previous studies on fill without compressible material

Full-scale test with sawdust as compressible material(McAffee and Valsangkar, Can. Geotech Journal 45: 85-101, 2008 )

Full-scale test from Kentucky Transportation Center using EPS Geofoam

(Hopkins and Sun, Univ. of Kentucky Transportation Center Geotechnology, 2007)

Full-scale test from Kentucky Transportation Center using EPS Geofoam

(Hopkins and Sun, Univ. of Kentucky Transportation Center Geotechnology, )

Full-scale test from China(Jiang and Gu, 2nd int. conf. GEDMAR08, Nanjing China, 2008 )

Field Installation

Eidanger, 1988

EPS

1600 mm

Cell 2 Cell 3

Cell 1

Sandy gravel (0-16) mm

1950 mm

500 mm

500 mm

1000 mm

Cell 4H=14.0 m

Earth pressure cell

Settlement tube

Rock fill

2000 mm

LEGEND:

-150

-100

-50

0

50

100

150

200

250

300

01

.01

.19

88

01

.01

.19

92

01

.01

.19

96

01

.01

.20

00

01

.01

.20

04

01

.01

.20

08

Time [ date ]

EP

S d

efo

rm

ati

on

[m

m]

Ea

rth

press

ure [

kP

a]

Cell 2- measured

cell 2 - calculated

overburden

Measured deformation

of EPS block

Field Installation

Sveio, 1989

EPS

1400 mm

Cell 1 Cell 2

Cell 4

Sandy gravel (0-16) mm

1710 mm

H=15.0 m

Earth pressure cell

Settlement tube

Cell 3

Cell 5

200 mm

500 mm

1000 mm

3000 mm

Rock fill

Top of embankment

Dense moraine

LEGEND:

-200

-150

-100

-50

0

50

100

150

200

250

300

350

01.0

1.1

990

01.0

1.1

995

01.0

1.2

000

01.0

1.2

005

01.0

1.2

010

Time [date]

EP

S d

efo

rm

ati

on

[m

m]

E

arth

pre

ss

ure

[ k

Pa

]

Cell 1 measured earth pressure

Cell 2 measured earth pressure

Calculated overburden Cell 1 and

cell 2

Deformation of EPS block

Field Installation

Hallumsdalen, 1989

EPS

2.0 m

Cell 2

Silty clay

Cell 1

1.0 m

0.5 m

0.3 m

0.3 m

0.2 m

0.4 m

1.85 m

Silty clay

case a) with EPS block

plateSettlement

Silty clay

Cell 3

Silty clay

case b) without EPS block

2.55 m

rodSettlement

Siltyclay

H = 10.8 m H = 9.8 m

-300

-200

-100

0

100

200

300

01

.01

.19

89

01

.01

.19

94

01

.01

.19

99

01

.01

.20

04

01

.01

.20

09

Time [date]

EP

S d

efo

rm

ati

on

[m

m]

e

arth

press

ure

[kN

/m2

]

Cell 1 measured Earth

pressure (with EPS)

Deformation of EPS

block

Cell 1 calculated

overburden

Cell 3 -measured earth

pressure (without EPS)

Cell 3 calculated

overburden

Field Installation

Tømtebekken, 1992

EPS

Compacted bed

1730 mm

H=22.0 m

Earth pressure cell

300 mm

500 mm

2750 mm

Top of embankment

LEGEND:

400 mm

164 mm 1400 mm Cell 4

Cell 2

Cell 1

Cell 7

Cell 5

Cell 6

Cell 3

-200

-100

0

100

200

300

400

01

.07

.91

01

.07

.95

01

.07

.99

01

.07

.03

01

.07

.07

01

.07

.11

Time [day]

Defo

rmati

on

of

EP

S [

mm

] E

art

h p

ressu

re [

kP

a]

Cell 1 calculated overburden

Cell 2 calculated overburden

Cell 2 measured earth pressure

Cell 1 measured earth pressure

Deformation of EPS block

Concrete pipe before backfilling, Tømtebekken 1991

Concrete pipe with hydraulic earth pressure cell, Tømtebekken 1991

Settlement plate on EPS, Tømtebekken 1991

Placing EPS above the pipe, Tømtebekken 1991

Full-scale test from China(Jiang and Gu, 2nd int. conf. GEDMAR08, Nanjing China, 2008 )

Measured earth pressure from field

installations

0

50

100

150

200

250

300

0 5 10 15 20 25

Fill height above the culvert [m]

Ver

tical

ear

th p

ress

ure

[kP

a]

Tømtebekken

Hallumsdalen

Eidanger

Sveio

Shannxi, China

Calculated

overburden H

Design Method-Arching factor

(1990)N H vertical earth pressure AfterVaslestadv A

1 A

A

eN arching factor

A

2 v

HA S

B

tan (1976)v AS r K frictionnumber after Janbu

Comparison with Design Method

0,00

0,20

0,40

0,60

0,80

1,00

0 3 6 9 12 15

Normalized height of cover [H/B]

No

rma

lize

d e

art

h p

res

su

re, N

A =

v/

H

Tømtebekken

Eidanger

Sveio

Calculated for r=0,7

Calculated for r=0.8

Calculated for r=1.0

Shannxi, China

Summary of measured field installations

Site

Culvert type H/B Arching

factor

NA measured

in the field

Thickness

of

EPS block

Backfill

TypePipe Box

Eidanger 7 0.24 0.50 m Rock fill

Sveio 8.8 0.22 0.50 m Rock fill

Tømtebekken 13 0.22 0.50 m Rock fill

Hallumsdalen 7.5 0.5 0.50 m Silty clay

Shannxi, China

(Gu and Jiang)

4.5 0.28 0.30 m ‘Silty soil’

New Brunswick, Canada

(McAffee and Valsangkar)

9 0.24-0.35 0.58 m of

sawdust

Coarse

rock fill

Canada model(McAffee and Valsangkar)

8.8 0.38 thin layer Silica

sand0.24 design

thickness

Centrifuge model test with EPS block as compressible material

(McGuigan and Valsangkar, Can. Geotech Journal 47: 85-101, 2010 )

Centrifuge model test with EPS block as compressible material

(McGuigan and Valsangkar, Can. Geotech Journal 47: 147-163, 2010 )

Numerical modeling of field test with FLAC (McAffee and Valsangkar, Can. Geotech Journal 45: 85-101, 2008 )

FEM modeling of load reduction using EPS

block of varying thickness from China(Jiang and Gu, 2nd int. conf. GEDMAR08, Nanjing China, 2008 )

Handbook 016: Recommended procedure for installation of imperfect ditch culvert with EPS

•Easy to specify material characteristics using EPS

•No decomposing of EPS like the organic material

•Easy to install the EPS, controlled geometry

•Reducing vertical earth pressure to 22 to 28 % of overburden in

granular material, and around 50 % in cohesive material

•Long-term earth pressure measurements shows the arching effect is

stable over time using EPS

Conclusion

Thank you for your attention!

Future roads for a better society

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