appendix a: experimental results... 97 appendix a: experimental results pressure heads within tubes...

27
97 Appendix A: Experimental results Pressure Heads Within Tubes as Headwater Elevation Increased During Trials Trial 1 Trial 2 Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) 0 15.75 15.75 6.5 0 17 17 6.5 5 14.75 14 5.5 7.5 15.75 14 6 10 14.25 11 5 15 17.5 12 5.5 15 (2nd) 16 9.5 5 Trial 3 Trial 4 Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) 0 18 18 6.5 0 17.5 17.5 8 10 19 16.5 5.25 12.5 17.5 12 6 Trial 5 Trial 6 Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) 0 17.5 17.5 8 0 17.5 17.5 6.5 12.5 19.75 12.5 5.5 Trial 9 Trial 10 Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) 0 18.5 18.5 6.5 0 19 19 8 12.5 19 12 4.5 12.5 20.5 13 5.5 17 20.5 11 4.5 Trial 11 Trial 12 Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) Headwater Elevation (inch) Pressure Head Tube #1 (inch) Pressure Head Tube #2 (inch) Pressure Head Tube #3 (inch) 0 19 19 8 0 17.5 17 6.5 12.5 20.5 13 7 12.5 18.5 10.75 6 16 22.5 11.5 6.5 15 22.25 9.5 5.5

Upload: phamquynh

Post on 20-Jan-2019

219 views

Category:

Documents


0 download

TRANSCRIPT

97

Appendix A: Experimental results

Pressure Heads Within Tubes as Headwater Elevation Increased During Trials

Trial 1 Trial 2

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

Headwater Elevation

(inch)

Pressure Head

Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

0 15.75 15.75 6.5 0 17 17 6.5 5 14.75 14 5.5 7.5 15.75 14 6

10 14.25 11 5 15 17.5 12 5.5 15 (2nd) 16 9.5 5

Trial 3 Trial 4

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head

Tube #3 (inch)

0 18 18 6.5 0 17.5 17.5 8 10 19 16.5 5.25 12.5 17.5 12 6

Trial 5 Trial 6

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head

Tube #3 (inch)

0 17.5 17.5 8 0 17.5 17.5 6.5 12.5 19.75 12.5 5.5

Trial 9 Trial 10

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head

Tube #3 (inch)

0 18.5 18.5 6.5 0 19 19 8 12.5 19 12 4.5 12.5 20.5 13 5.5 17 20.5 11 4.5

Trial 11 Trial 12

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head

Tube #3 (inch)

0 19 19 8 0 17.5 17 6.5 12.5 20.5 13 7 12.5 18.5 10.75 6 16 22.5 11.5 6.5 15 22.25 9.5 5.5

98

Trial 13 Headwater Elevation

(inch)

Pressure Head Tube #1 (inch)

Pressure Head Tube #2 (inch)

Pressure Head Tube #3 (inch)

0 19 19.5 8.25 12.5 20 13.5 5.5 15 21 12.25 5

Pressure Heads Within Tubes as Strapping System Is Attached

Pressure Heads (inch)*

Tube # After Filling

Tube #1 and Tube #2

After Strapping Tube #1 and

Tube #2

After Filling Tube #3

After Strapping Tube #3

1 6.5 6.75 18.5 19 2 6.5 6.5 19.5 19.25 3 NA NA 6.5 8

*Measurements taken during setup of Trial 10

Pressure Heads (inch)**

Tube # After Filling

Tube #1 and Tube #2

After Strapping Tube #1 and

Tube #2

After Filling Tube #3

After Strapping Tube #3

1 6.25 6.5 18.5 19 2 7 7 19.5 19.5 3 NA NA 6.75 8.25

**Measurements taken during setup of Trial 13

99

Trial 1Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

120.0 140.0 160.0 180.0 200.0 220.0 240.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head5" - Head10" - HeadGeonet

Trial 1Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

120.0 140.0 160.0 180.0 200.0 220.0 240.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head5" - Head10" - HeadGeonet

100

Trial 1Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

120.0 140.0 160.0 180.0 200.0 220.0 240.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head5" - Head10" - HeadGeonet

Trial 1Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

5"

10"

Geonet

101

Trial 1Standpipe Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

5"

10"

Geonet

Trial 2Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head7.5" - Head15" - HeadGeonet

102

Trial 2Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head7.5" - Head15" - HeadGeonet

Trial 2Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head7.5" - Head15" - HeadGeonet

103

Trial 2Standpipe Heights - East

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

7.5"

15"

Geonet

Trial 2Standpipes Heights - West

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

7.5"

15"

Geonet

104

Trial 3Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head10" - HeadGeonet

Trial 3Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head10" - HeadGeonet

105

Trial 3Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head10" - HeadGeonet

Trial 3Standpipe Heights - East

0.0

5.0

10.0

15.0

20.0

25.0

30.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

10"

Geonet

106

Trial 3Standpipes Heights - West

0.0

5.0

10.0

15.0

20.0

25.0

30.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

10"

Geonet

Trial 4Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

107

Trial 4Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 4Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

108

Trial 4Standpipe Heights - East

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

Trial 4Standpipes Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

109

Trial 6Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 6Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105 125 145 165 185 205 225 245

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

110

Trial 6Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

105.0 125.0 145.0 165.0 185.0 205.0 225.0 245.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 6Standpipe Heights - East

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

111

Trial 6Standpipes Heights - West

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

Trial 9Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head12.5" - Head17" - HeadGeonet

112

Trial 9Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135 155 175 195 215 235 255 275

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 9Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

113

Trial 9Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

17"

Geonet

Trial 9Standpipes Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

17"

Geonet

114

Trial 10Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 10Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135 155 175 195 215 235 255 275

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

115

Trial 10Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head12.5" - HeadGeonet

Trial 10 Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

116

Trial 10Standpipes Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

Geonet

Trial 11Series 1 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0" - Head12.5" - HeadGeonet

117

Trial 11Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135 155 175 195 215 235 255 275

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - Head16" - HeadGeonet

Trial 11Series 3 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135.0 155.0 175.0 195.0 215.0 235.0 255.0 275.0

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - HeadGeonet

118

Trial 11Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

16"

Geonet

Trial 11Standpipes Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

16"

Geonet

119

Trial 12Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135 155 175 195 215 235 255 275

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - Head15" - HeadGeonet

Trial 12Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

15"

Geonet

120

Trial 12Standpipe Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

15"

Geonet

Trial 13Series 2 Tube Cross-Section

0.0

20.0

40.0

60.0

80.0

100.0

120.0

140.0

135 155 175 195 215 235 255 275

Reference Line - X (cm)

Heig

ht -

Y (c

m)

0" - Head12.5" - Head15" - HeadGeonet

121

Trial 13Standpipe Heights - East

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

15"

Geonet

Trial 13Standpipe Heights - West

-5.0

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

40.0

45.0

0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0

Reference Line - X (cm)

Hei

ght -

Y (c

m)

0"

12.5"

15"

Geonet

122

Shear Stress vs. Normal Stress for Reinforced PVC against Reinforced PVC

0

1

2

3

4

5

6

7

8

0 1 2 3 4 5 6 7 8

Normal Stress (psi)

Shea

r Str

ess

(psi

)

59.0 lb 50.1 lb41.3 lb32.5 lb23.6 lb17.1 lb43.5 lb34.7 lb9.6 lb

δpeak = 54°

δresidual = 14°

123

Shear Stress vs. Horizontal Diplacement for Reinforced PVC against Reinforced PVC

0

1

2

3

4

5

6

7

8

9

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5

Horizontal Dispacement (inch)

Shea

r Str

ess

(psi

)

59.0 lb 50.1 lb41.3 lb32.5 lb23.6 lb17.1 lb43.5 lb34.7 lb9.6 lb

Peak Secant Friction Coefficient vs. Normal Stress for Reinforced PVC against Reinforced PVC

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5

Normal Stress (psi)

Peak

Sec

ant F

rictio

n C

oeffi

cien

t