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1Light Rail Transit Facilities Design Course
Track Design
2Light Rail Transit Facilities Design Course
Track Design
Light Rail Transit Facilities
Design Course
Track Design05.12.2010
2
By: Ken KirseCivil Engineer, TriMet
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Track Design
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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Track Design
Wheel – Rail Interface
• Wheels• Where does flange go
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Track Design
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Track Design
Why are flanges on the inside of wheels?
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Track Design
Rail Sections
“Tee” Rails
Girder Rails
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Track Design
Curving Characteristics
With solid axlesWith stub axles
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Track Design
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Track Design
Track Design
• Gage• Tie and ballast open track• Basis of design of tie and ballast track• Embedded on paved track
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Track Design
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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Track Design
Maximum Rail Bending Moment (M0)
M0 = p
64
¼
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Track Design
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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Track Design
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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Track Design
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
31Light Rail Transit Facilities Design Course
Track Design
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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Track Design
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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Track Design
Embedded Track
• Aesthetics• Maintenance considerations• Concrete track slabs• Covered tie and ballast track
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Track Design
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Track Design
Common on bridgesDF fastenersMethods of construction
Direct Fixation Track
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Track Design
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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