AC bridges ( Weins bridge, Desauty bridge, Maxwell's inductance bridge)
Bridge
11
Suspension Bridge Design San Jose del Rio Horizontal Span L (m) 29 3.544 3.965 4.225 Proposed Deflection % 4 6.931 7.28 3.181 Proposed Deflection h (m) 1.16 Tower Height H (m) 3.965 Tower to Anchor L1 (m) 7.28 Anchor Angle 28.5746049900991 0.478302665580728 0.878195058115434 0.544642857142857 Gravitational Acceleration g (m/s/s) 9.81 Wind Load Factor f 1.15 Safety Factor S 4 Deckway and Cables Mass per metre 40.7 Tower Compression Strength C (N) 1823094 Load Case Description Point Mass Point Force Point Force on 1 Cable Location No. M (Kg) F (N) F/2 (N) x (m) 1 People 500 4905 2452.5 14.5 Main Cable and Load Details Cable Diameter Cable Diameter Cable mass per metre Cable force per metre Cable Tensile Strength Deckway and Cables Mass per metre Deckway and Cables Force per metre/cable otal Distributed Load (inc. wind) Cable Type Cable Diameter Milimetres (mm) Metres (m) Newtons mm 8 0.008 0.21 2.06 34335 40.7 199.63 329.20 1 8 10 0.01 0.382 3.75 56653 40.7 199.63 331.14 2 10 16 0.016 0.84 8.24 137340 40.7 199.63 336.31 3 0 18 0.018 1.063 10.43 173821 40.7 199.63 338.83 4 0 20 0.02 1.528 14.99 226613 40.7 199.63 344.07 5 20 30 0.03 2.95 28.94 482864 40.7 199.63 360.11 6 30 57.2 0.0572 12.479 122.42 1850451 40.7 199.63 467.61 7 57.2 RF Summary Parabola (including point load distributed) Parabola Cable Diameter Main Cable Main Cable Main Cable Angle Tension at Low Point Tension at High Point Tension in Anchor Cable Tower Reaction Anchor Reaction (Vert.) Anchor Reaction (Hor.) Milimetres Centre Tower Anchor Cable Tower (mm) Tension Tension Tension Compression 9.09 0.1580 0.9874 0.1600 29834 30213 33972 21022 16249 29834 8 0.29 0.28 0.25 21.68 9.09 0.1580 0.9874 0.1600 30010 30391 34172 21146 16345 30010 10 0.47 0.47 0.41 21.55 9.09 0.1580 0.9874 0.1600 30478 30866 34705 21476 16600 30478 16 1.13 1.11 0.99 21.22 9.09 0.1580 0.9874 0.1600 30706 31097 34965 21637 16724 30706 18 1.42 1.40 1.24 21.06 9.09 0.1580 0.9874 0.1600 31181 31578 35506 21972 16983 31181 20 1.82 1.79 1.60 20.74 9.09 0.1580 0.9874 0.1600 32635 33050 37162 22996 17775 32635 30 3.70 3.65 3.25 19.82 9.09 0.1580 0.9874 0.1600 42378 42917 48255 29861 23081 42378 57.2 10.92 10.78 9.59 15.26 RF Summary Cable with Point Load at Centre Cable with Point Load at Centre (only the point load) Main Cable Angle Tension in Main Cable Tension in Anchor Cable Tower Reaction Anchor Reaction (Vert.) Anchor Reaction (Hor.) Cable Diameter Main Cable Anchor Cable Tower Milimetres (mm) Tension Tension Compression 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 8 0.56 0.49 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 10 0.92 0.81 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 16 2.23 1.97 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 18 2.83 2.49 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 20 3.68 3.25 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 30 7.85 6.92 47.60 4.57 0.0797 0.9968 0.0800 15377 17454 9575 8348 15328 57.2 30.08 26.50 47.60 RF Summary Combined Loads Combined Loads Cable Diameter Main Cable Main Cable Tension at Low Point Tension at High PointTension in Anchor Cabl Tower Reaction Milimetres Centre Tower Anchor Cable Tower (mm) Tension Tension Tension Compression 45211 45590 51426 30597 8 0.19 0.19 0.17 14.90 45387 45769 51626 30721 10 0.31 0.31 0.27 14.84 45855 46243 52159 31051 16 0.75 0.74 0.66 14.68 46083 46474 52419 31211 18 0.94 0.94 0.83 14.60 46559 46955 52960 31546 20 1.22 1.21 1.07 14.45 48012 48427 54616 32571 30 2.51 2.49 2.21 13.99 57755 58294 65709 39436 57.2 8.01 7.94 7.04 11.56 Cable Shape Parabola Point Load Distance From Centre Height Height x (m) y (m) y (m) -14.50 1.160 1.160 -13.05 0.940 1.044 -11.60 0.742 0.928 -10.15 0.568 0.812 -8.70 0.418 0.696 -7.25 0.290 0.580 -5.80 0.186 0.464 -4.35 0.104 0.348 -2.90 0.046 0.232 -1.45 0.012 0.116 0.00 0.000 0.000 1.45 0.012 0.116 2.90 0.046 0.232 4.35 0.104 0.348 5.80 0.186 0.464 7.25 0.290 0.580 8.70 0.418 0.696 10.15 0.568 0.812 11.60 0.742 0.928 13.05 0.940 1.044 14.50 1.160 1.160 INPUT DATA (in RED) F (deg) Sin F Cos F Tan F M(Kg/m) M(Kg/m) w(N/m) M(Kg/m) w(N/m) W = (w+ w+ F/L) x f Sin q Cos q Tan q q (Deg) T(N) T (N) T(N) R(N) R(N) R(N) Sin q Cos q Tan q q (Deg) T (N) T(N) R(N) R(N) R(N) T(N) T (N) T(N) R(N) -14.50 -9.50 -4.50 0.50 5.50 10.50 0.00 0.50 1.00 1.50 Cable Shape Parabola Point Load Distance from centre of cable (m) Height of cable (m) Tower Height Span L R1 R4 R2 R3 R6 R5 Tower Anchor Cable Main Cable Point Load W Tower to Anchor Deflection h F qpoint load qparabola T1 TT
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Load Case 1Suspension Bridge DesignSan Jose del RioINPUT DATA (in RED)Horizontal SpanL (m)293.5443.9654.225Proposed Deflection%46.9317.283.181Proposed Deflectionh (m)1.16Tower HeightH (m)3.965Tower to AnchorL1 (m)7.28Anchor AngleF (deg)28.5746049901Sin F0.4783026656Cos F0.8781950581Tan F0.5446428571Gravitational Accelerationg (m/s/s)9.81Wind Load Factorf1.15Safety FactorS4Deckway and Cables Mass per metreMd (Kg/m)40.7Tower Compression StrengthC (N)1823094Load CaseDescriptionPoint MassPoint ForcePoint Force on 1 CableLocationNo.M (Kg)F (N)F/2 (N)x (m)1People50049052452.514.5Main Cable and Load DetailsCable DiameterCable DiameterCable mass per metreCable force per metreCable Tensile StrengthDeckway and Cables Mass per metreDeckway and Cables Force per metre/cableTotal Distributed Load (inc. wind)Cable TypeCable DiameterMilimetres (mm)Metres (m)Mc (Kg/m)wc (N/m)NewtonsMd (Kg/m)wd (N/m)W = (wd + wc + F/L) x fmm80.0080.212.063433540.7199.63329.2018100.010.3823.755665340.7199.63331.14210160.0160.848.2413734040.7199.63336.3130180.0181.06310.4317382140.7199.63338.8340200.021.52814.9922661340.7199.63344.07520300.032.9528.9448286440.7199.63360.1163057.20.057212.479122.42185045140.7199.63467.61757.2RF SummaryParabola (including point load distributed)ParabolaCable DiameterMain CableMain CableMain Cable AngleSin qCos qTan qTension at Low PointTension at High PointTension in Anchor CableTower ReactionAnchor Reaction (Vert.)Anchor Reaction (Hor.)MilimetresCentreTowerAnchor CableTowerq (Deg)T0 (N)T (N)T1 (N)R3 (N)R1 (N)R2 (N)(mm)TensionTensionTensionCompression9.090.15800.98740.160029834302133397221022162492983480.290.280.2521.689.090.15800.98740.1600300103039134172211461634530010100.470.470.4121.559.090.15800.98740.1600304783086634705214761660030478161.131.110.9921.229.090.15800.98740.1600307063109734965216371672430706181.421.401.2421.069.090.15800.98740.1600311813157835506219721698331181201.821.791.6020.749.090.15800.98740.1600326353305037162229961777532635303.703.653.2519.829.090.15800.98740.160042378429174825529861230814237857.210.9210.789.5915.26RF SummaryCable with Point Load at CentreCable with Point Load at Centre (only the point load)Main Cable AngleSin qCos qTan qTension in Main CableTension in Anchor CableTower ReactionAnchor Reaction (Vert.)Anchor Reaction (Hor.)Cable DiameterMain CableAnchor CableTowerq (Deg)T (N)T1 (N)R3 (N)R1 (N)R2 (N)Milimetres (mm)TensionTensionCompression4.570.07970.99680.08001537717454957583481532880.560.4947.604.570.07970.99680.080015377174549575834815328100.920.8147.604.570.07970.99680.080015377174549575834815328162.231.9747.604.570.07970.99680.080015377174549575834815328182.832.4947.604.570.07970.99680.080015377174549575834815328203.683.2547.604.570.07970.99680.080015377174549575834815328307.856.9247.604.570.07970.99680.08001537717454957583481532857.230.0826.5047.60RF SummaryCombined LoadsCombined LoadsCable DiameterMain CableMain CableTension at Low PointTension at High PointTension in Anchor CableTower ReactionMilimetresCentreTowerAnchor CableTowerT0 (N)T (N)T1 (N)R3 (N)(mm)TensionTensionTensionCompression4521145590514263059780.190.190.1714.9045387457695162630721100.310.310.2714.8445855462435215931051160.750.740.6614.6846083464745241931211180.940.940.8314.6046559469555296031546201.221.211.0714.4548012484275461632571302.512.492.2113.995775558294657093943657.28.017.947.0411.56Cable ShapeParabolaPoint LoadDistance From CentreHeightHeightx (m)y (m)y (m)-14.501.1601.160-13.050.9401.044-11.600.7420.928-10.150.5680.812-8.700.4180.696-7.250.2900.580-5.800.1860.464-4.350.1040.348-2.900.0460.232-1.450.0120.1160.000.0000.0001.450.0120.1162.900.0460.2324.350.1040.3485.800.1860.4647.250.2900.5808.700.4180.69610.150.5680.81211.600.7420.92813.050.9401.04414.501.1601.160
Load Case 1
ParabolaPoint LoadDistance from centre of cable (m)Height of cable (m)Cable Shape
Load Case 2Suspension Bridge Design : San Jose del RioINPUT DATA (in RED)Horizontal SpanL (m)80Proposed Deflection%4Proposed Deflectionh (m)3.2Tower HeightH (m)23.5443.9654.225Tower to AnchorL1 (m)26.9317.283.181Anchor AngleF (deg)45Sin F0.7071067812Cos F0.7071067812Tan F1Gravitational Accelerationg (m/s/s)9.81Wind Load Factorf1.15Safety FactorS4Deckway and Cables Mass per metreMd (Kg/m)24Post Compression StrengthC (N)0Load CaseDescriptionPoint MassPoint ForceLocationNo.M (Kg)F (N)x (m)2People0014.5Main Cable and Load DetailsCable DiameterCable DiameterCable mass per metreCable force per metreCable Tensile StrengthDeckway and Cables Mass per metreDeckway and Cables Force per metreTotal Distributed Load (inc. wind)Milimetres (mm)Metres (m)Mc (Kg/m)wc (N/m)NewtonsMd (Kg/m)wd (N/m)W = (wd + wc + F/L) x f80.0080.212.063433524117.72137.75100.010.3823.755665324117.72139.69160.0160.840.0013734024117.72135.38180.0181.0630.0017382124117.72135.38200.021.52814.9922661324117.72152.62300.032.9528.9448286424117.72168.6657.20.057212.479122.42185045124117.72276.16RF SummaryParabola (including point load distributed)ParabolaCable DiameterSuspension CableSuspension CableSuspension Cable AngleSin qCos qTan qTension at Low PointTension at High PointTension in Anchor CableTower ReactionAnchor Reaction (Vert.)Anchor Reaction (Hor.)MilimetresCentreTowerAnchor CableTowerq (Deg)T0 (N)T (N)T1 (N)R3 (N)R1 (N)R2 (N)(mm)TensionTensionTensionCompression9.090.15800.98740.160034437348754870139947344372824780.250.250.180.009.090.15800.98740.1600349223536649387405093492228644100.410.400.290.009.090.15800.98740.1600338453427547863392603384527761161.011.000.720.009.090.15800.98740.1600338453427547863392603384527761181.281.270.910.009.090.15800.98740.1600381543863953958442593815431296201.481.471.050.009.090.15800.98740.1600421654270159630489114216534585302.862.832.020.009.090.15800.98740.160069040699189763780086690405663057.26.706.624.740.00RF SummaryCable with Point Load at CentreCable with Point Load at Centre (only the point load)Suspension Cable AngleSin qCos qTan qTension in Suspension CableTension in Anchor CableTower ReactionAnchor Reaction (Vert.)Anchor Reaction (Hor.)Cable DiameterSuspension CableAnchor CableTowerq (Deg)T (N)T1 (N)R3 (N)R1 (N)R2 (N)Milimetres (mm)TensionTensionCompression4.570.07970.99680.08000000080.000.000.004.570.07970.99680.080000000100.000.000.004.570.07970.99680.080000000160.000.000.004.570.07970.99680.080000000180.000.000.004.570.07970.99680.080000000200.000.000.004.570.07970.99680.080000000300.000.000.004.570.07970.99680.08000000057.20.000.000.00RF SummaryCombined LoadsCombined LoadsCable DiameterSuspension CableSuspension CableTension at Low PointTension at High PointTension in Anchor CableTower ReactionMilimetresCentreTowerAnchor CableTowerT0 (N)T (N)T1 (N)R3 (N)(mm)TensionTensionTensionCompression3443734875487013994780.250.250.180.0034922353664938740509100.410.400.290.0033845342754786339260161.011.000.720.0033845342754786339260181.281.270.910.0038154386395395844259201.481.471.050.0042165427015963048911302.862.832.020.006904069918976378008657.26.706.624.740.00Cable ShapeParabolaPoint LoadDistance From CentreHeightHeightx (m)y (m)y (m)-403.2003.200-362.5922.880-322.0482.560-281.5682.240-241.1521.920-200.8001.600-160.5121.280-120.2880.960-80.1280.640-40.0320.32000.0000.00040.0320.32080.1280.640120.2880.960160.5121.280200.8001.600241.1521.920281.5682.240322.0482.560362.5922.880403.2003.200
TowerHeightSpan LR1R4R2R3R6R5TowerAnchor CableMain CablePoint Load WTower to AnchorDeflection hFqpoint loadqparabolaT1T0T
Load Case 21.161.160.93961.0440.74240.9280.56840.8120.41760.6960.290.580.18560.4640.10440.3480.04640.2320.01160.116000.01160.1160.04640.2320.10440.3480.18560.4640.290.580.41760.6960.56840.8120.74240.9280.93961.0441.161.16
ParabolaPoint LoadDistance from centre of cable (m)Height of cable (m)Cable Shape
Hoja3
