BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 1 of 8 Appendix 2 Construction of the transverse measurement proof The construction of the transverse measurement gives all values relevant for a safe wheel:rail relationship and where appropriate its wear limits: 1. Wheel - wheelset - wheel pair New measurements with fabrication tolerances as well as wear limit measurements for: - Wheelset back to back distance r - Flange width e and/or Flange thickness d - associated flange back face relief f - Flange height h Derived values: - Wheelset gauge s - Check Gauge l - associated flange thickness d additionally: -wheel width b - Flange root radius -Gauge face profile -Front bevel (if available) -Distance between the wheel contact points m -Vertical distance of the wheelset gauging plane from the wheel-rail contact point a as well as new and fully worn limit values for: - Wheel diameter dM - Slope of the flange front and back flanks 1:nS and 1:nR - Radii of the outer and inner flange tip rounding rK,S and rK,R The wheel profile dimensions are to be considered in the new and fully worn states. 2. Track, turnouts & crossings Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 2 of 8 2.1 Determination of the values for the transverse measurement table The gauge and flangeway (and where appropriate check gauges) are set out in tabular form according to the track curve radius for plain track, turnouts and crossings, with building and/or fabrication tolerances as well as relevant safety limits. The vertical distance A between the gauging plane and the GFT is to be indicated. The different types of turnouts and crossings are differentiated by – - those with a simple crossing and check rails - where the crossing lies on the outer rail of a curved track (simple turnouts, opposite curved turnouts, inside leg of curved turnouts) - where the crossing lies on the inside rail of a curved track (outside leg of curved turnouts) - those with double crossings In addition, crossings are differentiated according to:- those with deep groove flangeways through both the crossing and check rails (and where necessary, between block and rail built crossings) - those with deep groove flangeways through the check rail (inside rail of curved track) and flat grooves through the crossing - those with flat groove flangeways through both the crossing and check rails The use of deep groove crossings is, in the fully worn condition, dependent on the smallest allowable wheel width, the crossing angle and the curve radius. The new cross-section for deep- and flat grooves is represented full scale. 2.2 Calculation of the values for the transverse measurement table For the calculation of the values for the final transverse measurement table, the creation of an internal table containing the following is recommended: For a common crossing with check rails, the values that should be considered are:- the limiting values of the wheelset check gauge - check gauge over crossing flangeway - check gauge over check rail flangeway - minimum check rail flangeway width, Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 3 of 8 for wheelsets in both the new and fully worn conditions. For double crossings, the values that should be considered are:- the required gauge and check face flangeway widening - the building and/or fabrication tolerances. for the respective curve radius, allowing for the transverse elasticity of the wheels. The most unfavourable limiting values of the selected gauge and flangeway width are used to determine the value to be used for the check gauge of the wheelset in the transverse measurement proofs (cf. section 2.2.5). If the GGE and track gauging plane do not correspond, (A ≠ a*), it is necessary to undertake a further conversion to bring the values in the GGE into the track gauging plane by reference to the inclination of the rail flanks. 2.2.1 Track gauge in the crossing zone - Common crossing / check rail The nominal track gauge at the common crossing / check rail for the particular track curve radius is determined from the rounded up total of:Greatest value of the minimum check gauge over crossing flangeway (obtained from the maximum check gauge in the new and fully worn states for all bogies under investigation) plus for the outside curve (rail), the lateral displacement of the resilient tyre resulting from the curve dependent (steering) forces and centrifugal force plus largest check rail flangeway (in the new state including the plus fabrication tolerance and/or in the fully worn state where appropriate) plus Absolute value for the minus tolerance for the new track gauge SEH,min* = LH,min* + WR,max* (301) LH,min* from (93) WR,max* = WR* + ΔW (302) WR* from (37) Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 4 of 8 ΔW Positive manufacturing tolerance for the groove width SEH,min* = SEH,min* + |-ΔS| |-ΔS| 2.2.2 (303) Absolute value for the minus tolerance for the track gauge Crossing flangeway width for Common crossings The nominal flangeway width in the common crossing / check rail is calculated from the sum of:Largest value for the track gauge (Nominal track gauge + plus building tolerance) minus Smallest value for maximum check gauge over the check rail flangeway (from the minimum check gauge in the new- and fully worn states for the wheelsets under investigation) including allowance for the lateral elasticity plus Absolute value of the minus manufacturing tolerance for the crossing groove width WH,min* = SEH,max* - LR,max* (304) SEH,max* = SEH* + ΔS (305) ΔS = plus building tolerance for the track gauge LR,max* from (94) WH* = WH,min* + |-ΔW| |-ΔW| (306) Absolute value of the minus manufacturing tolerance for the groove width 2.2.3 Gauge and flangeway width for double crossing For double crossings, the nominal gauge in the curved track is calculated from the rounded up total of the values of Nominal gauge in the straight track plus Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 5 of 8 2 x Required gauge widening in the curved track flangeways (largest value in the new state for all investigated bogies) plus absolute value of the minus building tolerance of the track gauge: SDH,B* = SDH,G* + 2 ΔdS* + I-ΔSI (307) I-ΔSI Absolute value of the minus building tolerance of the track gauge ΔdS* from (35) Correspondingly, the nominal flangeway in the curved track of double crossings results from the rounded up total of:- Nominal flangeway in the straight track plus required gauge face flangeway widening in the curved track (largest value in the new state for all investigated bogies) plus required check face flangeway widening in the curved track (largest value in the new state for all investigated bogies) WDH,B*= WDH,G*+ ΔdS*+ ΔdR* (308) ΔdS* from (35) ΔdR* from (34) With double crossings, the bogie can, depending upon the state of wear of the rails and the wheels become guided by either the gauge- or check flank of the inner or outer curved rails. Accordingly and because of the equivalence of both grooves, it is not meaningful to allow for the lateral elasticity of the wheels. Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 6 of 8 2.2.4 Gauge and Flangeway width in Flat Groove Rails In flat groove rail, the wheel is raised through contact between the bottom of the groove and the tip of the flange. Consequently, the effective values for the wheelset gauge, check gauge, flange back distance and flange thickness in the gauging plane will be altered proportionaltely to inclination of the flange flanks (cf. Figure 1.7 in Appendix 1). The consequent changes relative to the value of the groove depth are the track gauge, check gauge, distance across groove and/or check rail faces and groove width (a prerequisite is that the inclinations of the flange flanks and the flat groove flanks correspond). Deep groove / Flat groove Track gauge: ST/F = S - (A + h - tmin - a*) / nS (309) Check gauge over crossing flangeway: LH,T/F = L + (A + h - tmin - a*) / nR (310) Check gauge over check rail flangeway: LR,T/F = L - (A + h - tmin - a*) / nS (311) Distance across check rails / groove backs: KT/F = K + (A + h - tmin - a*) / nR (312) Groove width of Flat groove crossing: WH,F = WH - (A + h - tmin - a*) / nS - (A + h - tmin - a*) / nR (313) Flat groove / Flat groove Track gauge: SF/F = S - 2(A + h - tmin - a*) / nS (314) Check gauge over crossing flangeway: LH,F/F = L + (A + h - tmin - a*) / nR - (A + h - tmin - a*) / nS (315) Distance across check rails / groove backs: KF/F = K + 2(A + h - tmin - a*) / nR (316) Groove width of Flat groove crossing: WF = W - (A + h - tmin - a*) / nS - (A + h - tmin - a*) / nR analogous to (313) For S, L, K and W, the respective values for deep groove flangeways are to be used; for h, that flange height between hmax and hmin at distance (t - a) of the flange tip at which the maximum and/or minimum flange back distance appears. The value tmin designates the Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 7 of 8 smallest flat groove depth. 2.2.5 Transverse measurement proof For straight track, this is just the same as for the turnout / crossing part of the transverse dimension proof (from section 4.2 of the Technical Rules) to demonstrate (from the rounded up values of the transverse measurement table) that with the allowable limit values there is no forcing and that with a deep groove crossing the required minimum wheel support width is guaranteed. Common crossing / Check rail: There should be no overlap, if at the gauge face SEH,min - WR,max - LH,min > 0 (317) and at the groove flank LR,max - (SEH,max - WH,min) > 0 (318) The magnitude of the clearance (positive result) and/or the overlap (negative result) that exists at the gauge flank of the crossing is determined from ΔF/ÜF = SEH,min - WH,max - LH,min (319) and at the crossing groove flank from ΔF/ÜR = SEH,max -WH,min -LR,max (320) If either of the results from (317) and/or (318) is negative, a negative clearance exists at either the gauge and/or groove flanks in the crossing. The extent to which this can be considered acceptable is for the user to determine! Double crossing: There should be no overlap (forcing) between the gauge faces, if generally SDH,min - Smax > 0 (321) and between the check faces kmin - (SDH,max - 2 WDH,min) > 0 (322) Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009 BOStrab Guidance Regulations (Technishe Regeln Spurführung - TR Sp) Appendix 2 Page 8 of 8 SDH,max Nominal track gauge including plus building tolerance WDH,min Nominal flangeway width less the absolute value for the minus manufacturing tolerance The magnitude of the clearance (positive result) and/or the overlap (negative result) that exists at the gauge flanks of the crossing is determined from ΔF/ÜF = SDH,min - Smax (323) and at the check flanks from ΔF/ÜL = kmin - (SDH,max - 2 WDH,min) (324) If either of the results from (321) and/or (322) is negative, a negative clearance exists at either the gauge and/or check flanks in the crossing. The extent to which this can be considered acceptable is for the user to determine! The values thus calculated can be inserted into the transverse measurement tables. 3. Switch Opening For compliance with section 3.10.2 of the Technical Rules it has to be proved for the maximum opening between the switch tongue and the stock rail (whether undercut or recessed) that the flange in both the new and fully worn condition cannot climb on to the tongue. Originally drafted: March 2004 Issued (in German): May 2006 Translated from the German for UK use January 2009