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PHENOMENA IM __ Modified G4(1S) Stro Developer: Worcester Polytechnic Worcester, MA [email protected] Model Date: January 2002 Report Date: July 31, 2009 Barrier: The modified G4(1S) beam rails supported b (i.e., the type of bloc Figure 1. The posts ar spliced together using the rails are connecte post location. Figure 1: Modified G Model: The guardrail model i guardrail system with W150x13.5 steel post blockouts. The up-stre MPORTANCE RANKING TABLE FOR A ong-Post Guardrail System w/Wood Blockouts __ c Institute guardrail with wood blockouts is composed of 1 by W150x13.5 steel posts with150x200 mm woo ckout used in the G4(2W) guardrail system), a re spaced at 1.905 m center-to-center. The w-bea g eight 16-mm diameter bolts at each splice conn ed to the posts and blockouts using a single ___ b G4(1S) guardrail with routed wood blockouts is shown in Figure 2. The model consists of 34.6 h thirteen 3.81-m sections of w-beam rail, twenty-s ts spaced at 1.905 m, and twenty-six 150 x 200-m eam end included the MELT guardrail terminal (v _ 12-gauge w- od blockouts as shown in am rails are nection, and bolt at each m of the six mm wood validated in

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PHENOMENA IMPORTANCE RANKING TABLE FOR A

__ Modified G4(1S) Strong

Developer: Worcester Polytechnic Institute

Worcester, MA

[email protected]

Model Date: January 2002

Report Date: July 31, 2009

Barrier: The modified G4(1S)

beam rails supported by W150x13.5 steel posts

(i.e., the type of blockout used in the G4(2W)

Figure 1. The posts are spaced at

spliced together using

the rails are connected to the posts and

post location.

Figure 1: Modified G4(1S) guardrail with routed wood blockouts

Model: The guardrail model is shown in Figure

guardrail system with

W150x13.5 steel posts spaced at 1.905 m, and

blockouts. The up-stream end included the MELT guardrail terminal (validated in

PHENOMENA IMPORTANCE RANKING TABLE FOR A

Strong-Post Guardrail System w/Wood Blockouts __

Worcester Polytechnic Institute

G4(1S) guardrail with wood blockouts is composed of 12

beam rails supported by W150x13.5 steel posts with150x200 mm wood blockouts

, the type of blockout used in the G4(2W) guardrail system), as shown in

The posts are spaced at 1.905 m center-to-center. The w-beam

spliced together using eight 16-mm diameter bolts at each splice connection, and

are connected to the posts and blockouts using a single ___ bolt at each

Figure 1: Modified G4(1S) guardrail with routed wood blockouts

The guardrail model is shown in Figure 2. The model consists of 34.6 m o

guardrail system with thirteen 3.81-m sections of w-beam rail, twenty-six

W150x13.5 steel posts spaced at 1.905 m, and twenty-six 150 x 200-mm wood

stream end included the MELT guardrail terminal (validated in

__

is composed of 12-gauge w-

with150x200 mm wood blockouts

guardrail system), as shown in

beam rails are

at each splice connection, and

bolt at each

. The model consists of 34.6 m of the

six

mm wood

stream end included the MELT guardrail terminal (validated in

a previous study). The downstream anchor was modeled using nonlinear springs

representative of a MELT guardrail terminal.

Figure 2:

This form is used to construct a phenomena importance ranking table (PIRT) for either a vehicle

model or roadside hardware model. Text in a blue italic font indicates the user should enter

information for the particular test. The developer should perform the following steps to develop

the PIRT.

1. List all comparisons to physical experiments that were performed during the development

of the model in Table A-1. These may include laboratory tests of materials, dynamic or

static tests of components, full-model tests of suspension systems and any other type of

comparison between a physical test and the computational model.

2. For each comparison between an experiment and calculation, complete Table A-2, the

“Comparison Metric Evaluation Table. There should be one “Comparison Metric

Evaluation Table” for each comparison listed in Table A-1. Attach graphs of the

comparisons to the table.

3. Take the “phenomenon description” from the bottom of each “Comparison Metric

Evaluation Table” and enter it in the PIRT (i.e., Table A-3). If all the comparison metrics

are acceptable for that phenomenon, enter “Yes” in the right hand column of the PIRT.

If one or more metrics are unacceptable enter “no” in the right hand column.

Table A-1. List of Experiments to be used in the PIRT Development

1. Three-Point Bend Test of W150x13.5 Post About Weak Axis

2. Load-to-rupture of splice connection under quasi-static axial loading

3. Pull-through of post-bolt-head connection to w-beam using axial load machine

4. Full-scale bogie impact tests of the W150x13.5post embedded in soil (soil density = 1,980 kg/m3)

5. Full-scale bogie impact tests of the W150x13.5post embedded in soil (soil density = 1,980 kg/m3)

6. Full-scale bogie impact tests of the W150x13.5post embedded in soil (soil density = 1,980 kg/m3)

7.

8.

Table A-2. Comparison Metric Evaluation Table.

PHENOMENA # 1: Plastic deformation of guardrail posts due to bending about weak axis

Sprauge-Geers Metrics

List all the data channels to be compared below. Using RSVVP calculate the

M and P metrics comparing the experiment and the simulation. Values less

than or equal to 20 are acceptable.

M P Pass?

• Force-Displacement 3.6 1.1 Yes

ANOVA Metrics

List all the data channels to compare in the rows below. Use RSVVP to

calculate the ANOVA metrics and enter the values below. The following

criteria must be met:

• The mean residual error must be less than or equal to five percent of

the peak acceleration

( Peakae ⋅≤ 05.0 )

• The standard deviation of the residuals must be less than or equal to

25 percent of the peak acceleration ( Peaka⋅≤ 25.0σ )

M

ean

Res

idu

al

S

tan

dard

Dev

iati

on

of

Res

idu

als

Pass?

• Force-Displacement 0.03 0.03 Yes

PHENOMENA

Three-Point Bend Test of W150x13.5 Post About Weak Axis

Table A-3. Comparison Metric Evaluation Table.

PHENOMENA # 2: Splice Rupture due to Tensile Load in W

Sprauge-Geers Metrics

List all the data channels to be compared below. Using RSVVP calculate t

M and P metrics comparing the experiment and the simulation. V

than or equal to 20 are acceptable.

• Force-Displacement

ANOVA Metrics

List all the data channels to compare in the rows below. Use RSVVP to

calculate the ANOVA metrics and enter the values below. The following

criteria must be met:

• The mean residual error must be less than

the peak acceleration

( Peakae ⋅≤ 05.0 )

• The standard deviation of the residuals must be less than

25 percent of the peak acceleration (

• Force-Displacement

PHENOMENA

Load-to-rupture of splice connection

. Comparison Metric Evaluation Table.

Splice Rupture due to Tensile Load in W-Beam

List all the data channels to be compared below. Using RSVVP calculate the

comparing the experiment and the simulation. Values less M

channels to compare in the rows below. Use RSVVP to

calculate the ANOVA metrics and enter the values below. The following

The mean residual error must be less than or equal to five percent of

The standard deviation of the residuals must be less than or equal to

percent of the peak acceleration ( Peaka⋅≤ 25.0σ )

M

ean

Res

idu

al

S

tan

dard

Dev

iati

on

rupture of splice connection under quasi-static axial loading

P Pass?

S

tan

dard

Dev

iati

on

of

Res

idu

als

Pass?

Table A-4. Comparison Metric Evaluation Table.

PHENOMENA # 3: Post-Bolt-Head Pull

Sprauge-Geers Metrics

List all the data channels to be compared below. Using RSVVP calculate t

M and P metrics comparing the experiment and the simulation. V

than or equal to 20 are acceptable.

• Case 1

• Case 2

• Case 3

PHENOMENA TEST CASE

Pull-through of post-bolt-head

. Comparison Metric Evaluation Table.

Head Pull-Through and Release from W-Beam

compared below. Using RSVVP calculate the

comparing the experiment and the simulation. Values less M

head connection to w-beam using axial load machine

P Pass?

using axial load machine

Table A-5. Comparison Metric Evaluation Table.

PHENOMENA # 4: Post-Soil Interaction/Response

Sprauge-Geers Metrics List all the data channels to be compared below.

metrics comparing the experiment and the simulation. Values less than or equal to 20

are acceptable.

• Force-Displacement History

ANOVA Metrics List all the data channels to compare in the rows below.

the ANOVA metrics and enter the values below. The following criteria must be

met:

• The mean residual error must be less than or equal to five percent of the

peak acceleration ( ae ⋅≤ 05.0

• The standard deviation of the residuals must be less than or equal to 25

percent of the peak acceleration (

• Force-Displacement History

General Comparisons

• Peak Force (kN)

• Average Force (kN)

• Maximum Deflection (mm)

PHENOMENA

The post-soil model was validated with full

tests of the W150x13.5post embedded in soil

conducted at the Midwest Roadside Safety

point on the posts was at 550-mm above grade and the impact

direction was perpendicular to the flange of the post (

direction of post).

• Impactor – 946-kg MwRSF rigid nose bogie vehicle

• Impact speed = 4.6 m/s

• Soil type – AASHTO M 147

• Soil density – 1,980 kg/m3

Reference: Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Research Report No. TRP-03-77-98, Midwest Roadside Safety Facility, Univers

5. Comparison Metric Evaluation Table.

Soil Interaction/Response (soil density = 1,980 kg/m3)

List all the data channels to be compared below. Using RSVVP calculate the M and P

metrics comparing the experiment and the simulation. Values less than or equal to 20 M

List all the data channels to compare in the rows below. Use RSVVP to calculate

the ANOVA metrics and enter the values below. The following criteria must be

The mean residual error must be less than or equal to five percent of the

Peak )

residuals must be less than or equal to 25

percent of the peak acceleration ( Peaka⋅≤ 25.0σ )

M

ean

Res

idu

al

S

tan

dard

Dev

iati

on

Test FEA

63

42.8

234

soil model was validated with full-scale bogie impact

tests of the W150x13.5post embedded in soil. Test WISC-1 was

conducted at the Midwest Roadside Safety Facility. The impact

mm above grade and the impact

direction was perpendicular to the flange of the post (i.e., strong

kg MwRSF rigid nose bogie vehicle

AASHTO M 147-65 Gradation B

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Midwest Roadside Safety Facility, University of Nebraska-Lincoln, Lincoln,

Nebraska (July 21, 1999).

P Pass?

S

tan

dard

Dev

iati

on

of

Res

idu

als

Pass?

FEA Error

50 21%

40.2 6.1%

249 6.4%

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Lincoln, Lincoln,

Table A-6. Comparison Metric Evaluation Table.

PHENOMENA # 5: Post-Soil Interaction/Response

Sprauge-Geers Metrics List all the data channels to be compared

metrics comparing the experiment and the simulation. Values less than or equal to 20

are acceptable.

• Acceration-Time History

ANOVA Metrics List all the data channels to compare in the rows

the ANOVA metrics and enter the values below. The following criteria must be

met:

• The mean residual error must be less than or equal to five percent of the

peak acceleration ( ae ⋅≤ 05.0

• The standard deviation of the residuals must be less than or equal to 25

percent of the peak acceleration (

• Force-Displacement History

General Comparisons

• Peak Force (kN)

• Average Force (kN)

• Maximum Deflection (mm)

PHENOMENA

The post-soil model was validated with full

tests of the W150x13.5post embedded in soil

conducted at the Midwest Roadside Safety

point on the posts was at 550-mm above grade and the impact

direction was perpendicular to the flange of the post (

direction of post).

• Impactor – 946-kg MwRSF rigid nose bogie vehicle

• Impact speed = 5.4 m/s

• Soil type – AASHTO M 147

• Soil density – 2,110 kg/m3

Reference: Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Research Report No. TRP-03-77-98, Midwest Roadside Safety Facility, University of

6. Comparison Metric Evaluation Table.

Soil Interaction/Response (soil density = 2,110 kg/m3)

List all the data channels to be compared below. Using RSVVP calculate the M and P

metrics comparing the experiment and the simulation. Values less than or equal to 20 M

List all the data channels to compare in the rows below. Use RSVVP to calculate

the ANOVA metrics and enter the values below. The following criteria must be

The mean residual error must be less than or equal to five percent of the

Peak )

of the residuals must be less than or equal to 25

percent of the peak acceleration ( Peaka⋅≤ 25.0σ )

M

ean

Res

idu

al

S

tan

dard

Dev

iati

on

Test FEA

66

43.9

314

soil model was validated with full-scale bogie impact

tests of the W150x13.5post embedded in soil. Test WISC-3 was

conducted at the Midwest Roadside Safety Facility. The impact

mm above grade and the impact

direction was perpendicular to the flange of the post (i.e., strong

kg MwRSF rigid nose bogie vehicle

ASHTO M 147-65 Gradation B

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Midwest Roadside Safety Facility, University of Nebraska-Lincoln, Lincoln,

Nebraska (July 21, 1999).

P Pass?

S

tan

dard

Dev

iati

on

of

Res

idu

als

Pass?

FEA Error

50 24%

45.1 2.7%

306 2.5%

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Lincoln, Lincoln,

Table A-7. Comparison Metric Evaluation Table.

PHENOMENA # 6: Post-Soil Interaction/Response

Sprauge-Geers Metrics List all the data channels to be compared below.

metrics comparing the experiment and the simulation. Values less than or equal to 20

are acceptable.

• Acceleration-Time History

ANOVA Metrics List all the data channels to compare in the rows below.

the ANOVA metrics and enter the values below. The following criteria must be

met:

• The mean residual error must be less than or equal to five percent of the

peak acceleration ( ae ⋅≤ 05.0

• The standard deviation of the residuals must be less than or equal to 25

percent of the peak acceleration (

• Force-Displacement History

General Comparisons

• Peak Force (kN)

• Average Force (kN)

• Maximum Deflection (mm)

PHENOMENA

The post-soil model was validated with full

tests of the W150x13.5post embedded in soil

conducted at the Midwest Roadside Safety Facility. The impact

point on the posts was at 550-mm above grade and the impact

direction was perpendicular to the flange of the post (

direction of post).

• Impactor – 946-kg MwRSF rigid nose bogie ve

• Impact speed = 5.9 m/s

• Soil type – AASHTO M 147

• Soil density – 2,240 kg/m3

Reference: Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Research Report No. TRP-03-77-98, Midwest

7. Comparison Metric Evaluation Table.

Soil Interaction/Response (soil density = 2,240 kg/m3)

List all the data channels to be compared below. Using RSVVP calculate the M and P

metrics comparing the experiment and the simulation. Values less than or equal to 20 M

4

List all the data channels to compare in the rows below. Use RSVVP to calculate

the ANOVA metrics and enter the values below. The following criteria must be

The mean residual error must be less than or equal to five percent of the

Peak )

residuals must be less than or equal to 25

percent of the peak acceleration ( Peaka⋅≤ 25.0σ )

M

ean

Res

idu

al

S

tan

dard

Dev

iati

on

0.04

Test FEA

66

47.3

348

soil model was validated with full-scale bogie impact

tests of the W150x13.5post embedded in soil. Test WISC-4 was

conducted at the Midwest Roadside Safety Facility. The impact

mm above grade and the impact

direction was perpendicular to the flange of the post (i.e., strong

kg MwRSF rigid nose bogie vehicle

AASHTO M 147-65 Gradation B

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Midwest Roadside Safety Facility, University of Nebraska-Lincoln, Lincoln,

Nebraska (July 21, 1999).

P Pass?

4 Y

S

tan

dard

Dev

iati

on

of

Res

idu

als

Pass?

0.08 Y

FEA Error

52 21%

48.1 1.7%

342 1.7%

Coon, B.A., J.D. Reid, and J.R. Rhode, .Dynamic Impact Testing of Guardrail Posts Embedded in Soil,.

Lincoln, Lincoln,

Table A-7. Phenomenon Importance Ranking Table for (list vehicle type or roadside

hardware name)

No. Validated Phenomenon Valid? 1. Three-Point Bend Test of W150x13.5 Post About Weak Axis Y

2. Load-to-rupture of splice connection under quasi-static axial loading

3. Pull-through of post-bolt-head connection to w-beam using axial load machine

4. Full-scale bogie impact tests of the W150x13.5post embedded in soil

(soil density = 1,980 kg/m3)

5. Full-scale bogie impact tests of the W150x13.5post embedded in soil

(soil density = 1,980 kg/m3)

6. Full-scale bogie impact tests of the W150x13.5post embedded in soil

(soil density = 1,980 kg/m3)

Y

7. (add additional rows if needed)