Calculation of PipeReinforcement ASME B31.3

ASME B31.3PRESSURE DESIGN STRAIGHT PIPE ( RUN PIPE)PRESSURE DESIGN STRAIGHT PIPE ( BRANCH PIPE)0.010.30.413.70.517.1GENERALGENERAL0.721.326.7tm=t+ctm=t+c33.442.2WhereWhere48.3tmminimum required thickness, including mechanical, corrosion, & erosion allowances, mm.10.86tmminimum required thickness, including mechanical, corrosion, & erosion allowances, mm.6.6260.3tpressure design thickness for internal pressure, mm.9.36tpressure design thickness for internal pressure, mm.5.1273csum of the mechanical allowances (thread or groove depth) plus corrosion & erosion allowances, mm.1.5csum of the mechanical allowances (thread or groove depth) plus corrosion & erosion allowances, mm.1.588.9101.6114.3141.3168.3219.1STRAIGHT PIPE THICKNESS UNDER INTERNAL PRESSURESTRAIGHT PIPE THICKNESS UNDER INTERNAL PRESSURE273.1323.9355.61. t=(PxD)/2(SxExW+PxY)9.362. t=P(d+2c)/2[SxExW-P(1-Y)]8.871. t=(PxD)/2(SxExW+PxY)5.122. t=P(d+2c)/2[SxExW-P(1-Y)]4.80406.4457.2WhereWhere508PInternal Design Gauge Pressure, N/mm2.4.2PInternal Design Gauge Pressure, N/mm2.4.20558.8DOutside Diameter of Pipe, mm.406.4DOutside Diameter of Pipe, mm.219.1609.6SStress Value for Material, N/mm2.88.25SStress Value for Material, N/mm2.88.25660.04EQuality Factor For Longitudinal Weld Joints in Pipes.1EQuality Factor For Longitudinal Weld Joints in Pipes.1711.2WWeld Joint Strength Reduction Factor.1WWeld Joint Strength Reduction Factor.1762YCoefficient for Materials.0.7YCoefficient for Materials.0.4812.8dInside Diameter of Pipe, mm.364.40dInside Diameter of Pipe, mm.193.10863.6914.4965.210161066.81117.6REINFORCEMENT OF WELDED BRANCH CONNECTIONS1168.41219.2hsubscript referring to run or header.bsubscript referring to branch.Thnominal thickness of run or header.21Tbnominal thickness of branch.13d1effective length removed from pipe at branch, mm.199.35d2"half width" of reinforcement zone, mm.199.35L4height of reinforcement zone outside of run pipe, mm.42.19Tbbranch pipe thickness, mm.11.38Thheader pipe thickness, mm.18.38Trminimum thickness of reinforcing pad, mm.18.4thpressure design thickness of run pipe, mm.9.36tbpressure design thickness of branch pipe, mm.5.12smaller angle between axis of branch and run.90Dboutside diameter of branch pipe, mm.219.10Dhoutside diameter of run pipe, mm.406.401. d1 = [Db - 2(Tb - c)]/sin 199.352. d2= greater of d1 or (Tb - c) + (Th - c) + d1/2126.43Therefore d2199.353. L4 = lesser of 2.5(Th - c), mm or42.192.5(Tb - c) + Tr, mm.43.09REQUIRED REINFORCEMENT AREA1. A1 = thd1(2 - sin), mm21865.70AVAILABLE AREAA2 + A3 + A4 >= A1WhereA2Area resulting from excess thickness in the run pipe wall, mm2.1498.33A3Area resulting from excess thickness in the branch pipe wall, mm2.401.51A4Area of other metal provided by welds & properly attached reinforcement, mm2.-34.14DrOutside diameter of reinforcement ring, mm.406.4SrStress value for reinforcement ring material, N/mm2.88.25haHeight of the fillet weld between run pipe & reinforcement ring, mm.3.00hbHeight of the fillet weld between branch pipe & reinforcement ring, mm.3.001. A2 = (2d2 - d1)(Th - th -c)1498.332. A3 = 2L4(Tb - tb - c)/sin401.513. A2 + A31899.85Additional reinforcement requiredNOA1 - ( A2 + A3 )