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Kartik Manda, David Lange, Riley Edwards, Marcus Dersch, and Ryan Kernes FRA Tie and Fastener BAA Industry Partners Meeting Incline Village, NV 7 Oct 2013 Vertical Load Path Analysis

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Kartik Manda, David Lange, Riley Edwards, Marcus Dersch, and Ryan Kernes

FRA Tie and Fastener BAA – Industry Partners Meeting

Incline Village, NV

7 Oct 2013

Vertical Load Path Analysis

Slide 2Vertical Load Path Analysis

Outline

• Objectives

• Background

• Instrumentation Overview

• Defining the vertical load path

• Understanding rail seat loads

• Fraction of vertical load

• Vertical tie deflections

• Effect on rail seat load

• Dynamic wheel loads

Slide 3Vertical Load Path Analysis

Mechanistic Design

Framework

Literature Review

Load Path Analysis

International Standards

Current Industry Practices

AREMA Chapter 30

Finite Element Model

Laboratory Experimentation

Field Experimentation

Parametric Analyses

Overall Project Deliverables

I – TRACK

Statistical Analysis

from FEM

Free Body Diagram

Analysis

Probabilistic Loading

Slide 4Vertical Load Path Analysis

Purpose of Vertical Load Path Analysis

• Identify the load path of vertical forces through the

concrete crosstie and fastening system

• Quantify the demands on each component in the

system

• Determine how crosstie support variability effects the

demands on the components within the vertical load

path

• Provide vital inputs to the development of a finite

element (FE) model and method of performing

mechanistic design of the concrete crossties and

fastening systems

• Provide insight for future field testing in revenue

service applications

Slide 5Vertical Load Path Analysis

Background Knowledge and Findings• Field experimentation and

modeling show that vertical

load is distributed over

multiple ties

• Rail seat load is of more

relevance than the wheel

load with respect to the

design of the concrete

crosstie and fastening

system

• Stiffness of each

component is critical to the

system and contributes to

overall behavior

Slide 6Vertical Load Path Analysis

July 2012 Field Instrumentation

First stage of field instrumentation conducted to capture

loads and understand the behavior of the system

Findings:

• Global tie displacements are

important to understand load

distribution

• Highest loads were imparted by

the locomotives and leading

axles of railcar trucks

Limitations:

• Comparison and validation

through FEM analysis

• Lateral load path not effectively

understood

Partially Instrumented Rail Seat

Fully Instrumented Rail Seat

MBTSS Instrumented Rail Seat

Slide 7Vertical Load Path Analysis

Field Instrumentation Locations

• TTCI (Pueblo, CO)

• High Tonnage Loop (HTL)

– Curve (2-3°)

– Safelok I Fasteners

• Railroad Test Track (RTT)

– Tangent

– Safelok I

Slide 8Vertical Load Path Analysis

Field Instrumentation Locations

• TTCI (Pueblo, CO)

• Railroad Test Track (RTT)

– Tangent

– Safelok I Fasteners

Slide 9Vertical Load Path Analysis

2 4 A B C D G H1 3 E I 5 6 7 8

9 10 11 12 P QR

S T U V W X Y Z 13 14 15 16

Rail Displacement Fixture

Rail Longitudinal Displacement/Strains

Pad Assembly Longitudinal Displacement

Insulator Longitudinal Displacement

Insulator Vertical Displacement

Steel Rods MBTSS

Embedment Gages, Vertical Circuit,

Clip Strains

Vertical Web Strains

Shoulder Beam Insert (Lateral Force)

Pad Assembly Lateral Displacement

Vertical and Lateral Circuits

F

Crosstie Surface Strains

Field Instrumentation Strategy (May 2013)

Slide 10Vertical Load Path Analysis

Vertical Tie Deflection

Vertical Load Path Instrumentation

Field Side

Slide 11Vertical Load Path Analysis

Vertical Rail Displacement

Vertical Web Strain

Rail Seat Loads

Vertical Wheel Loads

Vertical Load Path Instrumentation

Gauge Side

Slide 12Vertical Load Path Analysis

Track Modulus Estimation

• Classical method (most commonly used) – based on

load deflection characteristics

EI𝑑4𝑤

𝑑𝑥4+ kw(x) = q(x)

• TTCI proposed – Similar strategy with 10kip pre-load

• Other empirical and classical mechanics approaches

do exist

– Timoshenko and Langer (1932)

– Hay (1982)

– Eisenmann and Fastenrath (1981)

𝒌 =𝟏

𝟒

𝟑 𝑷𝟒

𝑬𝑰𝒘𝒎𝟒

Slide 13Vertical Load Path Analysis

Loading Environment

• Track Loading Vehicle (TLV)

– Static

– Dynamic

• Freight Consist

– 3, 6-axle locomotives on

HTL

– 4-axle locomotives on RTT

– 9 loaded and one empty

freight cars

• Passenger Consist

– 6-axle locomotive on HTL

– 4-axle locomotive on RTT

– 10 coaches

• FAST Train

Slide 14Vertical Load Path Analysis

Defining the Vertical Load Path

Slide 15Vertical Load Path Analysis

0

5

10

15

20

25

30

35

40

5 10 15 20 25 30 35 40

Rai

l Sea

t Lo

ad (

kip

s)

Vertical Load Applied (kips)

Load Applied

Rail Seat Load - E

Rail Seat Load - U

Rail Seat LoadsTangent Track, RTT

Slide 16Vertical Load Path Analysis

Defining the Vertical Load Path

Slide 17Vertical Load Path Analysis

Crosstie Support Variability: Vertical Crosstie Displacement

E

S U W

GC

• Curve track

• Static vertical loads

• Max applied load = 40 kips

• Low rail: soft support (slack or gap in support system)

• Modulus calculated as per classical method2,500 – 4,500 lb/in2

(except C =8500)

Low Rail

High Rail

Slide 18Vertical Load Path Analysis

Crosstie Support Variability: Vertical Crosstie Displacement – with 10 kip zero

E

S U W

GC

• Curve track

• Static vertical loads

• Max applied load = 40 kips

• Support modulus ranges from 6000 – 7,800 lb/in^2 (except C)

Low Rail

High Rail

Slide 19Vertical Load Path Analysis

Rail Seat Loads and Deflection

0.00

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0

5

10

15

20

25

30

35

40

5 10 15 20 25 30 35 40

Tie

Def

lect

ion

(in

.)

Rai

l Se

at L

oad

(ki

ps)

Vertical Load Applied (kips)

Load Applied

Rail Seat Load - E

Rail Seat Load - U

Tie Deflection - E

Tie Deflection - U

Slide 20Vertical Load Path Analysis

Vertical Wheel Loads - RTT

35

40

45

50

55

2 15 30 45 60 70

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on far rail (RTT, Freight)

35

40

45

50

55

2 15 30 45 60 70

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on near rail (RTT, Freight)

0

5

10

15

20

2 15 30 60 80 90 105

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on far rail (RTT, Passenger)

0

5

10

15

20

2 15 30 60 80 90 105

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on near rail (RTT, Passenger)

Slide 21Vertical Load Path Analysis

Conclusions• Observed Loads

• Dynamic wheel loads are not significantly higher

than static wheel loads

• Observed loads are similar to revenue service

loads, minus the impact loads

• Rail Seat Loads

• 30-80% of the vertical wheel load is resisted by

each

rail seat (high variability)

• Ballast stiffness plays key role

• Vertical rail seat load is independent of lateral loads

• Tie Deflection

• Tie deflections are highly affected by track stiffness

• Static deflection is considered an important system

parameter for design

Slide 22Vertical Load Path Analysis

Future Work

• Continue analysis of data to understand the governing

mechanisms of the tie and fastener system

• Continue to compare and validate the FE model

• Relate ballast stiffness to the tie deflections

• Create empirical models relating stiffness to loading

demands on each component (rail pad, rail seat, etc.)

• Investigate the influence of lateral loads on the

vertical load path

• Conduct small-scale, evaluative revenue service

testing on Class I railroads

Slide 23Vertical Load Path Analysis

Acknowledgements

• Funding for this research has been provided by the

Federal Railroad Administration (FRA)

• Industry Partnership and support has been provided by

– Union Pacific Railroad

– BNSF Railway

– National Railway Passenger Corporation (Amtrak)

– Amsted RPS / Amsted Rail, Inc.

– GIC Ingeniería y Construcción

– Hanson Professional Services, Inc.

– CXT Concrete Ties, Inc., LB Foster Company

– TTX Company

• Transportation Technology Center, Inc.

– Dave Davis, Justin Penrod

• For assistance in instrumentation preparation:

– Harold Harrison, Mike Tomas

FRA Tie and Fastener BAA

Industry Partners:

Slide 24Vertical Load Path Analysis

Kartik Manda

Graduate Research Assistant

Railroad Transportation and Engineering Center – RailTEC

email: [email protected]

Office: (217) 419-0220

Questions or Comments?

Slide 25Vertical Load Path Analysis

Appendix

Slide 26Vertical Load Path Analysis

Defining the Vertical Load Path

Observe the change in

Rail seat Load

distribution

Slide 27Vertical Load Path Analysis

Vertical Wheel Loads - HTL

0

10

20

30

40

50

60

70

2 15 30 40 45

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on High rail (HTL, Freight)

0

10

20

30

40

50

60

70

2 15 30 40 45

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on Low rail (HTL, Freight)

0

5

10

15

20

2 15 30 40

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on High rail (HTL, Passenger)

0

5

10

15

20

2 15 30 40

Ver

tica

l Lo

ad (

kip

s)

Speed (mph)

Vertical Loads on Low rail (HTL, Passenger)

Slide 28Vertical Load Path Analysis

0

10

20

30

40

50

60

2 15 30 45 60 70

Rai

l Sea

t l

Load

(ki

ps)

Speed (mph)

Rail Seat Loads on near rail (RTT, Freight)

Rail Seat Load - RTT

0

10

20

30

40

50

60

2 15 30 45 60 70

Speed (mph)

0

10

20

30

40

50

60

2 15 30 45 60 70

Rai

l Sea

t Lo

ad (

kip

s)

Speed (mph)

Rail Seat Loads on far rail (RTT, Freight)

0

2

4

6

8

10

12

14

16

18

2 15 30 60 80 90 105

Rai

l Sea

t L

oad

(ki

ps)

Speed (mph)

Rail Seat Loads on far rail (RTT,Passenger)

0

2

4

6

8

10

12

14

16

18

2 15 30 60 80 90 105

Rai

l Sea

t Lo

ad (

kip

s)

Speed (mph)

Rail Seat Loads on near rail (RTT, Passenger)

0

2

4

6

8

10

12

14

16

18

2 15 30 60 80 90 105

Rai

l Sea

t L

oad

(ki

ps)

Speed (mph)

Rail Seat Loads on far rail (RTT,Passenger)

0

2

4

6

8

10

12

14

16

18

2 15 30 60 80 90 105

Rai

l Sea

t Lo

ad (

kip

s)

Speed (mph)

Rail Seat Loads on near rail (RTT, Passenger)

0

10

20

30

40

50

60

2 15 30 45 60 70

Rai

l Sea

t Lo

ad (

kip

s)

Speed (mph)

Rail Seat Loads on far rail (RTT, Freight)