W1 tracks kirse jb

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1Light Rail Transit Facilities Design Course

Track Design

2Light Rail Transit Facilities Design Course

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Light Rail Transit Facilities

Design Course

Track Design05.12.2010

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By: Ken KirseCivil Engineer, TriMet

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Light Rail Track Design

• Wheel-Rail Interface• Track Design• Light Rail Track Materials• Track Road Crossings

• Drainage• Special Trackwork• Noise and Vibration• Electrical Isolation

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Wheel – Rail Interface

• Wheels• Where does flange go

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Why are flanges on the inside of wheels?

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Rail Sections

“Tee” Rails

Girder Rails

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Curving Characteristics

With solid axlesWith stub axles

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Track Design

• Gage• Tie and ballast open track• Basis of design of tie and ballast track• Embedded on paved track

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Modulus of Track Elasticity ()

Defined as the load per unit length of rail required to depress that rail by one unit.

p = - y

p = upward pressure per unit length = track modulus of elasticity (track stiffness)y = vertical deflection of rail with wood ties = 2000 Avg., 1000 poor, 5000 stiff

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Maximum Deflection Y0 of Rail

Y0 =p

(64 3) ¼

Y0 = maximum deflection (x=0, under wheel)

p = Dynamic wheel load (static load + 1% per MPH over 5 MPH)

= Modulus of elasticity of rail steel (30 x 106 psi)

= Moment of Inertia of rail (65.6 in4 for 115RE) = Track modulus of elasticity

 AREMA recommended limit of deflection is 0.25”

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Maximum Rail Bending Moment (M0)

M0 = p

64

¼

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Maximum Rail Bending Stress

M0C

S =

C = distance in inches from the base of rail to its neutral axis

AREMA recommended maximum = 25,000 psi

Rail steel yield point = 70,000 psi

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Ballast Pressure Under Centerline of Tie (PC)

PC =16.8 Pa

h 1.25

Pa = uniformly distributed pressure over the tie face

h = depth below bottom of tie in inches

Pc of 20 psi is AREMA suggested value for firm subgrade soil.

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Unit Pressure (Pa) Transmitted from Bottom of Tie to Ballast (psi)

Pa = 2P

2/3 bL

3P

bL=

P = wheel load (lbs) 2P = Total tie load

L = Tie length in inches

b = Tie width in inches

2/3 = factor for 2 load bearing thirds of tie

Pa should not exceed 65 psi for wood ties

85 psi for concrete ties

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115RE rail

Area = 11.2465 sq.in.

Moment of Inertia about neutral axis = 65.9

Yield Strength 70,000 psi min.

Modulus of elasticity “E” 30x106 psi

To determine tensile force for temperature change.

Rail changes 0.0000065 of its length per degree. F

S = unit stress.0000065 t =

S

30,000,000

Rail Stress from Temperature Change

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For 70F change

Total Restraining Force F = 70x195 x 11.2465

F = 153,515 lbs

Yield Point of 115# Rail

70,000 x 1102465 = 787,255 lbs

Insulated Joints tested to 600,000 lbs

For 1F change S = 30,000,000 x 0.0000065x1

= 195 psi

Rail Stress from Temperature Change

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Embedded Track

• Aesthetics• Maintenance considerations• Concrete track slabs• Covered tie and ballast track

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Common on bridgesDF fastenersMethods of construction

Direct Fixation Track

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Material for Light Rail Track

• Ties• Bumping posts• Switch heater• Switch stands• Insulated joints• Automatic train stop

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Light Rail Track Road Crossings

• Design considerations• Crossing materials• Drainage

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Light Rail Track Drainage

• Open track under drains• Paved track drainage• Special Trackwork Drainage

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Special Trackwork

• Definition of turnout components

• Turnout size, frog number• Frog types• Girder rail turnouts• Rail crossings, restraining rail

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Noise and Vibration

Problem Areas• Tri-Met history with Westside

Project• Noise and vibration mitigation

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P49

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Electrical Isolation

Causes of stray current• Why is stray current a problem?• Methods of controlling stray current• Monitoring stray current

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