Fortis_Design_Brief_Appendix_E_06_28_21.pdf

FORTIS 8-AXLE SNF RAILCAR

DESIGN DOCUMENTATION

APPENDIX E – CURVE NEGOTIATION

June 2021

6.87 DEG

Rotate the spanbolster at 6.87 deg

Rotate the trucks at 2.3 deg

SPAN BOLSTER 2.3 DEG With full spring compression

Check the car body interference with span bolster and trucks

150FT RADIUS CURVE UNDERFRAME

125T TRUCK

Horizontal Curve-Uncoupled Car

62.88

12'

13.5' 35.88

430"

MINIMUM CURVE RAIUS BASE LIKE CAR 185 <50

TRUCK CENTER 12

1/2 OF DISTANCE OVER

COUPLING

B1 13.5 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D1 6 FT

1/2 OF DISTANCE OVER

COUPLING

B2 13.5 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D2 6 FT

Y1 2.03 IN

Y2 2.03 IN

E60 COUPLER C 3.47 IN

E 0.917 FT

R 79.26 FT < 185 PASS

B2/(R+E) 0.168

RAD DEG

β 0.169 9.7 θ1 7 θ2 7 α 9.7 <13.5 PASS

SNF CAR

CAR ON

TANGENT

SNF CAR

CAR ON

CURVE

HORIZONTAL CURVE

SNF CAR COUPLED WITH SNF CAR

SPAN BOLSTER CAR -LENGTH OVER

62.88 62.875

13.5' 35.88

430"

185 <50

1/2 OF DISTANCE OVER

COUPLING

B1 22.34 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D1 15.56 FT

1/2 OF DISTANCE OVER

COUPLING

B2 13.5 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D2 6 FT

Y1 1.52 IN

Y2 2.03 IN

E60 COUPLER C 3.47 IN

E 0.874 FT

R 83.15 FT < 185 PASS

B2/(R+E) 0.161

RAD DEG

β 0.161 9.2 θ1 7 θ2 7 α 9.2 <13.5 PASS

BASE

CAR

SNF CAR

CAR ON

TANGENT

CAR ON

CURVE

HORIZONTAL CURVE

SNF CAR COUPLED WITH BASE CAR - SNF CAR ON CURVE

MINIMUM CURVE RAIUS BASE LIKE CAR

SPAN BOLSTER CAR -LENGTH OVER

TRUCK CENTER

62.875

13.5' 35.88

430"

185 <50

1/2 OF DISTANCE OVER

COUPLING

B1 13.5 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D1 6 FT

1/2 OF DISTANCE OVER

COUPLING

B2 22.34 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D2 15.56 FT

Y1 2.03 IN

Y2 1.52 IN

E60 COUPLER C 3.47 IN

E 0.874 FT

R 146.5 FT < 185 PASS

B2/(R+E) 0.152

RAD DEG

β 0.152 8.7 θ1 7 θ2 7 α 8.7 <13.5 PASS

HORIZONTAL CURVE

SNF CAR

BASE

CAR

CAR ON

TANGENT

CAR ON

CURVE

SNF CAR COUPLED WITH BASE CAR - BASE CAR ON CURVE

SPAN BOLSTER CAR -LENGTH OVER

MINIMUM CURVE RAIUS BASE LIKE CAR

TRUCK CENTER

13.5' 35.88

430"

SNF CAR -LENGTH OVER PULLING

FACE OF COUPLER

TRUCK CENTER 12

BUFFER CAR -LENGTH OVER PULLING

FACE OF COUPLER

66.38

TRUCK CENTER 44.5

1/2 OF DISTANCE OVER COUPLING B1 33.19 FT

1/2 OF DISTANCE OVER TRUCK

CENTER

D1 22.25 FT

1/2 OF DISTANCE OVER COUPLING B2 13.5 FT

1/2 OF DISTANCE OVER TRUCK

CENTER

D2 6 FT

Y1 1.56 IN

Y2 2.03 IN

F79 - Coupler Lateral Disp. C1 9.67 IN

E60 - Coupler Lateral Disp. C2 3.47 IN

E 1.394 FT

R 51.73 FT < 275 PASS

B2/(R+E) 0.254

RAD DEG

β 0.257 14.7

F Coupler Lateral angle θ1 13

E Coupler Lateral angle θ2 7 α 20.7 < 8 FAIL E AND F

GO TO Equation 2

F Coupler Length L1 3.58

E Coupler Length L2 2.37

Y1

Y1 0.13 FT

Y2 0.17 FT

X1

X1 0.12 FT

X2

X2 0.20 FT

Table 2.1 BUFFER CAR-Coupler Lateral Angle θ1

DEG RAD

Table 2.1 HLRM CAR-Coupler Lateral Angle θ2 7.00 0.12

Table 2.2 Angle between E and F Coupler α 8.00 0.14

E

1.54

R

R 82.36 FT < 275

0.20 β 0.21 β 11.75 θ1 θ2+α-β θ1 3.25

SNF CAR

BUFFER

CAR

BUFFER

CAR

SNF CAR

SNF CAR COUPLED WITH BUFFER CAR - SNF CAR ON CURVE

HORIZONTAL CURVE

< 13 PASS

PASS

EQUATION 2

1/12(0.625 B/D+0.625)

Y1{(D1+B1-L1)/(DI+B1)}

Y2{(D2+B2+L1)/(D2+B2)}

L2 SINθ2+L1SIN(θ2+α)+X1+X2

(B2+L1)/(R+E)

CRITERIA

{(B2+L1)^2-D2^2-E^2}/2E

< 13

CAR ON

TANGENT

CAR ON

CURVE

13.5' 35.88

430"

66.38

44.5

1/2 OF DISTANCE OVER

COUPLING

B1 13.498 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D1 6 FT

1/2 OF DISTANCE OVER

COUPLING

B2 33.19 FT

1/2 OF DISTANCE OVER

TRUCK CENTER

D2 22.25 FT

Y1 2.03 IN

Y2 1.56 IN

E60- COUPLER C1 3.47 IN

F79-COUPLER C2 9.67 IN

E 1.394 FT

R 216.84 FT < 275 PASS

B2/(R+E) 0.1521

RAD DEG

β 0.1527 8.7

Coupler Lateral Angle θ1 7

Coupler Lateral Angle θ2 13 α 2.7 < 8 PASS E AND F

BUFFER

CAR

CAR ON

CURVE

TRUCK CENTER

SNF CAR

CAR ON

TANGENT

HORIZONTAL CURVE

SNF CAR COUPLED WITH BUFFER CAR - BUFFER CAR ON CURVE

SNF CAR -LENGTH OVER PULLING FACE

TRUCK CENTER

BUFFER CAR -LENGTH OVER PULLING

SNF CAR

BUFFER

CAR

Dimension(in.)

Actual clearance bottom flange to TOR @ 25.21 CP 12.4

Height of Vert curve chord -3.86

AAR allowance for wear -2

Deflection -1.7

75% of Spring Comp -3.19

Remaining clearance to TOR 1.68

(all dim in inches)

500-SQRT(500^2-(35.88/2)^2)

0.32

3.86

VERTICAL CURVE CLEARANCE-UNCOUPLED CAR

FIG 2.3 CONVEX CURVE

SNF CAR ON TANGENT- CAR1

1/2 DISTANCE OVER COUPLING LINES B1 31.44 ft

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.372 ft DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.03 UP 1.77

SNF CAR ON CURVE- CAR2

1/2 DISTANCE OVER COUPLING LINES B2 31.44 ft

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.372 ft

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.000 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.355

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 940.05 < 1650 PASS

ASIN{B2/(R+E)} DEG

β 0.03 1.92

Table 2.2 VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.06 3.69 < 4.75 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES

DUE TO CURVING

E60C COUPLERS

Y40A YOKES

SNF CAR COUPLED WITH SNF CAR - CAR ON CONVEX CURVE

FIG 2.4 CONCAVE CURVE

SNF CAR ON CURVE -CAR 2

1/2 DISTANCE OVER COUPLING LINES B2 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.37 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.03 UP 1.77

SNF CAR ON TANGENT - CAR 1

1/2 DISTANCE OVER COUPLING LINES B1 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.37

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.35

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 940.05 < 1650 PASS β 0.03 1.92

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.00 0.15 <4.75 PASS

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES DUE

TO CURVING

E60C COUPLERS

Y40A YOKES

SNF CAR COUPLED WITH SNF CAR - CAR ON CONCAVE CURVE

VERTICAL CURVE

BASE CAR ON TANGENT- CAR1

1/2 DISTANCE OVER COUPLING LINES B1 22.33 ft

1/2 OF DISTANCE OVER TRUCK CENTER D1 15.56 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.44 ft DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.10 UP 5.50

SNF CAR ON CURVE- CAR2

1/2 DISTANCE OVER COUPLING LINES B2 31.44 ft

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.372 ft

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.000 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.515

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 647.11 < 1650 PASS

ASIN{B2/(R+E)} DEG

β 0.05 2.78

Table 2.2 VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.14 8.28 > 3.25 FAIL

Table 2.2 α max 0.06 3.25

FIG 2.5 CONVEX CURVE θ2+α 0.06

E L2SINθ2+L1SIN(θ2+α)+Z-Y

0.42

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

R (B2+L1) -(D2)

-E

)/2*E

R 984.3 < 1650 PASS

ASIN{(B2+L1)/(R+E)}

β 0.034 1.97 θ1 θ2+α-β

VERTICAL COUPLER ANGLE MUST NOT EXCEED THE VALUE FROM TABLE

2.3 θ1 0.02 1.3 < 5.5 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES

DUE TO CURVING

F70C COUPLERS

Y45A YOKES

IF α EXCEEDING 3.25 THEN USE EQUATION 4

SNF CAR COUPLED WITH BASE CAR - SNF CAR ON CONVEX CURVE

BASECAR ON CURVE -CAR 2

1/2 DISTANCE OVER COUPLING LINES B2 22.33

1/2 OF DISTANCE OVER TRUCK CENTER D2 15.56

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.44 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.12 DOWN 7.00

SNF CAR ON TANGENT - CAR 1

1/2 DISTANCE OVER COUPLING LINES B1 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.37

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.03 UP 1.77

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.41

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R ((B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 311.30 < 1650 PASS β 0.072

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α -0.02 -1.12 < 3.5 PASS

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES

DUE TO CURVING

F70C COUPLERS

Y45A YOKES

SNF CAR COUPLED WITH BASE CAR - BASE CAR ON CONVEX CURVE

BASE CAR ON TANGENT- CAR1

1/2 DISTANCE OVER COUPLING LINES B1 22.33

1/2 OF DISTANCE OVER TRUCK CENTER D1 15.56

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.44 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.12 DOWN 7.00

SNF CAR ON CURVE- CAR2

1/2 DISTANCE OVER COUPLING LINES B2 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.372

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.03 UP 1.77

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.41

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 808.85 808.85 < 1650 PASS β 0.04 2.23

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.13 7.46 > 3.25 FAIL

Table 2.2 USE EQUATION 4 αMax 0.06 3.25

FIG 2.6 CONCAVE CURVE θ2+α 0.09

E L2SINθ2+L1SIN(θ2+α)+Z-Y

0.33

R (B2+L1) -(D2)

-E

)/2*E

R 1257.93 < 1650 PASS

β ASIN{(B2+L1)/(R+E)} β 0.03 θ1 θ2+α-β

VERTICAL COUPLER ANGLE MUST NOT EXCEED THE VALUE FROM TABLE 2.3 θ1 0.06 3.48 < 7 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES DUE TO

CURVING

IF α EXCEEDING 3.5 THEN USE EQUATION 4

F70C COUPLERS

Y45A YOKES

SNF CAR COUPLED WITH BASE CAR - SNF CAR ON CONCAVE CURVE

BASE CAR ON CURVE -CAR 2

1/2 DISTANCE OVER COUPLING LINES B2 22.33

1/2 OF DISTANCE OVER TRUCK CENTER D2 15.56

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.44 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.10 UP 5.50

SNF CAR ON TANGENT - CAR 1

1/2 DISTANCE OVER COUPLING LINES B1 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.37

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.51

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 249.00 < 1650 PASS β 0.09 5.13

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α -0.01 -0.37 < 3.25 PASS

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES DUE

TO CURVING

F70C COUPLERS

Y45A YOKES

SNF CAR COUPLED WITH BASE CAR - BASE CAR ON CONCAVE CURVE

BUFFER CAR ON TANGENT- CAR1

1/2 DISTANCE OVER COUPLING LINES B1 33.19 ft

1/2 OF DISTANCE OVER TRUCK CENTER D1 22.25 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 3.58 ft DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.10 UP 5.50

SNF CAR ON CURVE- CAR2

1/2 DISTANCE OVER COUPLING LINES B2 31.44 ft

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94 ft

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.372 ft

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.000 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.625

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 533.25 < 1650 PASS

ASIN{B2/(R+E)} DEG

β 0.06 3.38

Table 2.2 VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.15 8.88 > 3.25 FAIL

Table 2.2 α max 0.06 3.25

FIG 2.5 CONVEX CURVE θ2+α 0.06

E L2SINθ2+L1SIN(θ2+α)+Z-Y

0.48

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

R (B2+L1) -(D2)

-E

)/2*E

R 933.7 < 1650 PASS

ASIN{(B2+L1)/(R+E)}

β 0.038 2.15 θ1 θ2+α-β

VERTICAL COUPLER ANGLE MUST NOT EXCEED THE VALUE FROM TABLE

2.3 θ1 0.02 1.1 < 5.5 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES

DUE TO CURVING

F79C COUPLERS/ DRAFT SILL ARRANGEMENT

Y45A YOKES

IF α EXCEEDING 3.25 THEN USE EQUATION 4

SNF CAR COUPLED WITH BUFFER CAR -SNF CAR ON CONVEX CURVE

BUFFER CAR ON CURVE -CAR 2

1/2 DISTANCE OVER COUPLING LINES B2 33.19

1/2 OF DISTANCE OVER TRUCK CENTER D2 22.25

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 3.58 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.13 DOWN 7.50

SNF CAR ON TANGENT - CAR 1

1/2 DISTANCE OVER COUPLING LINES B1 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.37

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.03 UP 1.77

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.58

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R ((B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 520.20 < 1650 PASS β 0.064

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α -0.04 -2.08 < 3.5 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES

DUE TO CURVING

F79C COUPLERS/ DRAFT SILL ARRANGEMENT

SNF CAR COUPLED WITH BUFFER CAR - BUFFER CAR ON CONVEX CURVE

BUFFER CAR ON TANGENT- CAR1

1/2 DISTANCE OVER COUPLING LINES B1 33.19

1/2 OF DISTANCE OVER TRUCK CENTER D1 22.25

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 3.58 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0.13 DOWN 7.50

SNF CAR ON CURVE- CAR2

1/2 DISTANCE OVER COUPLING LINES B2 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D2 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 2.372

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.292

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.03 UP 1.77

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.58

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 571.79 < 1650 PASS β 0.05 3.15

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α 0.15 8.88 > 3.25 FAIL

Table 2.2 USE EQUATION 4 αMax 0.06

FIG 2.6 CONCAVE CURVE θ2+α 0.09 3.25

E L2SINθ2+L1SIN(θ2+α)+Z-Y

0.43

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

R (B2+L1) -(D2)

-E

)/2*E

R 1055.61 < 1650 PASS

β ASIN{(B2+L1)/(R+E)} β 0.03 θ1 θ2+α-β

VERTICAL COUPLER ANGLE MUST NOT EXCEED THE VALUE FROM TABLE 2.3 θ1 0.05 3.12 < 7 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES DUE TO

CURVING

IF α EXCEEDING 3.5 THEN USE EQUATION 4

F79C COUPLERS/ DRAFT SILL ARRANGEMENT

SNF CAR COUPLED WITH BUFFER CAR - SNF CAR ON CONCAVE CURVE

BUFFER CAR ON CURVE -CAR 2

1/2 DISTANCE OVER COUPLING LINES B2 33.19

1/2 OF DISTANCE OVER TRUCK CENTER D2 22.25

Table 2.3 EFFECTIVE COUPLER LENGTH € L2 3.58 DEG

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ2 0.10 UP 5.50

SNF CAR ON TANGENT - CAR 1

1/2 DISTANCE OVER COUPLING LINES B1 31.44

1/2 OF DISTANCE OVER TRUCK CENTER D1 17.94

Table 2.3 EFFECTIVE COUPLER LENGTH € L1 2.37

Table 2.4 VERTICAL DISP OF COUPLER CENTER LINE Z 0.531

Table 2.3 MAX COUPLER VERTICAL ANGLE θ1 0 DOWN 0.00

Y+ 0.250

E eq. 3 Y+ L2 SINθ2 + L1SINθ1+Z-Y

0.62

Allowable minimum curve radius from Section 2.1.4.3.1 in AAR C-II based on truck center and overhang criteria

MINIMUM RADIUS OF CURVE R (B2)

-(D2)

-E

)/2*E

EQUATION 3 R R eq.3 Y+ 485.13 < 1650 PASS β 0.07 3.92

VERTICAL COUNTOUR ANGLE BETWEEN COUPLER CENTER LINE α -0.03 -1.58 < 3.25 PASS

VERTICAL CURVE

VERTICAL DISPLACEMENT BETWEEN CAR CENTERLINES DUE

TO CURVING

F79C COUPLERS/ DRAFT SILL ARRANGEMENT

SNF CAR COUPLED WITH BUFFER CAR - BUFFER CAR ON CONCAVE CURVE

SNF Car Coupler Angle SNF Car Coupler Angle

SNF Car on Tangent SNF Car on Switch 1.97 3.92 Yes

SNF Car on Switch Rail SNF Car on Curve 0.84 3.55 Yes

SNF Car on Curve SNF Car on Tangent 3.7 0.93 Yes

SNF Car on Curve SNF Car on Switch Rail 3.55 0.84 Yes

SNF Car on curve SNF Car on Tangent 3.92 1.97 Yes

No.7 Crossover Curve Dimensions:

1. Switch Rail Length=16.5Ft

2. Curve Length=40.87Ft

3. Degree of Curve=15.72Deg

4. Radius of Center line=365.59Ft

5. Tangent Length=34.4Ft

No. 7 Crossover Curve-Coupler Angle

SNF Car Coupler Angle Buffer Car Coupler Angle Meet Requirements

SNF Car on Switch Rail Buffer Car on Curve 3.17 7.6 Yes

SNF Car on Curve Buffer Car on Tangent 3.46 2.51 Yes

SNF Car on Curve Buffer Car on Switch Rail 1.82 2.89 Yes

SNF Car on Tangent Buffer Car on Curve 3.92 8.04 Yes

SNF Car Coupler Angle Baser Car Coupler Angle

SNF Car on Tangent Base Car on Switch 1.98 4.39 Yes

SNF Car on Switch Rail Base Car on Curve 2.43 6.2 Yes

SNF Car on Curve Base Car on Tangent 2.99 6.37 Yes

SNF Car on Curve Base Car on Switch Rail 0.44 2.27 Yes

SNF Car on curve Base Car on Tangent 0.91 3.71 Yes

` 4.34

35.88

430"

LENGTH OVER PULLING FACES 754.5 IN

E-COUPLER LENGTH C1 28.46 IN

E COUPLER LENGTH C2 28.46

BODY BOLSTER CENTER DISTANCE K1 215 IN LENGTH OVER PULLING FACES 754.5

K2 215 LENGTH OVER TRUCK CENTER 430

28.46

TRUCK CENTER OF SPAN BOLSTER A1 72 IN

TRUCK CENTER DISTANCE A2 72.00 IN

RAD DEG LENGTH OVER PULLING FACES 754.5

0.175 10 LENGTH OVER TRUCK CENTER 430

RADIUS OF CURVE R 6884 IN 28.46

RAD DEG

α1 1.56 89.40 α2 1.56 89.40

D1 6883.9 IN

D2 6883.9 IN

B1 133.79 IN

B2 133.79 IN

RAD DEG

β1 1.55 88.9 β2 1.55 88.9

F1 6885.2 IN

F2 6885.2 IN

RAD DEG

γ 1.57 89.76 θ β+γ

SNF CAR AND HLRM CAR 178.65

COUPLER ANGLE φ1-2 180-θ 1.35

0.02

ACOS(K/D) 1.54 88.21

ψ 0.03 1.79 90-ACOS(K/D) 0

LATERAL FORCE - P1-2 9859

LATERAL FORCE - P1-3 1102

LIGHT WEIGHT OF THE CAR 150000

BALLEST 0

TRUCK SUM VERTICAL-V 75000

TRUCK SUM LATERAL-L 10960.67

Ratio L/V

0.15

SNF CAR-CAR1

COUPLER LENGTH

SNF CAR-CAR 2

COUPLER LENGTH

L/V ON CAR DUE TO ANGULARITY OF COUPLERS - WITH SNF CAR

35.88

430"

LENGTH OVER PULLING FACES 754.5 IN

E60- COUPLER LENGTH C1 28.46 IN

E60 - COUPLER LENGTH C2 28.46

BODY BOLSTER CENTER DISTANCE K1 215 IN LENGTH OVER PULLING FACES 754.5

TRUCK CENTER OF SPAN BOLSTER A1 72 IN LENGTH OVER TRUCK CENTER 430

28.46

TRUCK CENTER DISTANCE A2 133.25 IN

RAD DEG

0.175 10

RADIUS OF CURVE R 6884 IN LENGTH OVER PULLING FACES 416.5

RAD DEG LENGTH OVER TRUCK CENTER 266.5

α1 1.56 89.40 28.46 α2 1.55 88.89

D1 6883.9 IN

D2 6882.9 IN

B1 133.79 IN

B2 179.79 IN

RAD DEG

β1 1.55 88.9 β2 1.54 88.5

F1 6885.2 IN

F2 6885.3 IN

RAD DEG

γ 1.57 89.90 θ β+γ

178.79

COUPLER ANGLE φ1-2 180-θ 1.21

0.02

ACOS(K/D) 1.54 88.21

ψ 0.03 1.79 90-ACOS(K/D)

Lateral Force P1-2 9184

Lateral Force P1-3 1305

LIGHT WEIGHT OF THE CAR 150000

BALLEST 0

TRUCK SUM VERTICAL-V 75000

TRUCK SUM LATERAL-L 10488.26

0.14

E60 - COUPLER LENGTH

BASE CAR-CAR 2

E60-COUPLER LENGTH

L/V ON CAR DUE TO ANGULARITY OF COUPLERS -WITH BASE CAR

35.88

430"

LENGTH OVER PULLING FACES 754.5 IN

E60- COUPLER LENGTH C1 28.46 IN

F79-COUPLER LENGTH C2 43

BODY BOLSTER CENTER DISTANCE K1 215 IN LENGTH OVER PULLING FACES 754.5

LENGTH OVER TRUCK CENTER 430

28.46

TRUCK CENTER OF SPAN BOLSTER A1 72 IN

TRUCK CENTER DISTANCE A2 370.31 IN

RAD DEG LENGTH OVER PULLING FACES 796.625

0.175 10 LENGTH OVER TRUCK CENTER 740.625

RADIUS OF CURVE R 6884 IN 43

RAD DEG

α1 1.56 89.40 α2 1.52 86.92

D1 6883.9 IN

D2 6874.3 IN

B1 133.79 IN

B2 355.3125 IN

RAD DEG

β1 1.55 88.9 β2 1.52 87.0

F1 6885.2 IN

F2 6883.4 IN

RAD DEG

γ 1.54 88.33 θ β+γ

SNF CAR AND BUFFER CAR 177.21

COUPLER ANGLE φ1-2 180-θ 2.79

0.05

ACOS(K/D) 1.54 88.21

ψ 0.03 1.79 90-ACOS(K/D)

LATERAL FORCE - P1-2 17009

LATERAL FORCE- P1-3 -1049

LIGHT WEIGHT OF THE CAR 150000

BALLEST 0

TRUCK SUM VERTICAL-V 75000

TRUCK SUM LATERAL-L 15960.28

0.21

E60 - COUPLER LENGTH

BUFFER CAR-CAR 2

F79-COUPLER LENGTH

L/V ON CAR DUE TO ANGULARITY OF COUPLERS - WITH BUFFER CAR

COUPLER ANGLE(θ)

(DEGREE)

SNF CAR-BASE CAR 1.21

SNF CAR-BUFFER CAR 2.79

SNF CAR-SNF CAR 1.35

COUPLER ANGLE SUMMARY

Appendix_E_Front