FactorLength / Bridge Span,(L) = 100.00 m Width of the Bridge= 2.00 m Central Deflection ( sag, h )= 6.67 m 15 1/ 10 or 1/ 15 Inclination of main cable to horizontal ( β )= 30.00 degrees Lowest Height of cable to Girder= 1.20 m Height of Tower ( h1 )= 7.90 m Equal Distance of Suspendor= 1.00 m Live Uniform Load= 12.00 KN / m 2.3275 2.3275 Dead Uniform Load ( Trusses )= 5.00 KN / m 1.25 Dead Uniform Load ( Toppings )= 2.40 KN / m 1.5 75.56 =W, ultimate Load Inclination of anchor cable to horizontal ( Ǿ )= 14.94 degrees Concentrated Loadings : Distance From Left Support Intensity m KN m KN m KN m KN m KN m KN m KN m KN m KN Solution: SHEAR ( Vertical Reaction ) VA= W L/2 VA= 3778 KN 3808.22 KN ( Due to Temperature ) HORIZONTAL ( Reaction ) H= WL2 / 8h 14160.41979 KN 14273.703148 KN ( Due to Temperature ) MAXIMUM TENSION ( Reaction of Cable ) TMAX= ( VA2 + H2 ) ^ 0.50 14655.74 KN 14765.23 KN ( Due to Temperature ) Inclination of anchor cable to horizontal= cos-1 ( H / Tmax ) Ǿ= 14.94 degrees If the Cable is supported by saddle: Tsaddle= TMAX ( cos Ǿ )/ cos β 16351.04 KN 16481.85 KN ( Due to Temperature ) Vertical Force of Tower= Tsaddle sin β + Tmax sin Ǿ 11953.52 KN 12049.15 KN ( Due to Temperature ) 00 KN 23.20 KN Grade 270 ( 1.24 mm 260. If the Cable is supported by pulley: Vertical Force of Tower= TMAX ( sin Ǿ + sin β ) 11105.00 m ( Due to Allowance ) Properties of Uncoated Seven-Wire.71 156.79 m 153.61 75.10 KN 15.00 221.20 KN 15.70 KN 98.00 KN 7.58 KN-m 11691.10 KN 92.30 KN 54.cos β ) 1468.11 mm 120.17 KN 1479.37 m Total Length of Cable= 132.17 m (L2/8d) (m(1+m2)^0.84 87.00 KN 51.00 KN 11.(32h4 / 5L3) 101.50 KN .60 KN 11.42 54.70 mm 183.11 mm 137.37 KN ( Due to Temperature ) Length of Sag Cable = L + (8h2 /3L) 101. Stressed Relieved Strand ( ASTM A416 ) Grade 250 ( 1.53 mm 89.68 102.70 mm 160.35 204.20 KN 12.87 KN 11194.70 KN 9.50 KN 37.68 m Total Disturbance of Bridge= 127.720 Mpa ) Nominal Diameter Breaking Strength Area of Strand Minimum Load @ 1% Extension mm KN mm2 KN 6.19 117.80 m Distance of Anchor to Tower = 13.94 mm 64.20 KN 139.10 KN 69.19 m L + (8h2 /3L) .35 mm 40.90 136.70 KN 140.22 34.30 KN 12.17 m Length of Anchor Cable = 15.72 KN ( Due to Temperature ) Tpulley( horizontal )= Tmax (cos Ǿ .50 101.cos β ) h1 11598.860 Mpa ) Nominal Diameter Breaking Strength Area of Strand Minimum Load @ 1% Extension mm KN mm2 KN 9.24 mm 240.92 KN ( Due to Temperature ) Bending Moment of the Tower= Tmax (cos Ǿ .53 mm 102.90 KN 74.50 + ln ( m + (1+m2)^0. 60 m 25 1/ 10 or 1/ 15 Inclination of main cable to horizontal ( β )= 45.3275 Dead Uniform Load ( Girder )= 4. 2. h )= 5.5066675 KN ( Due to Temperature ) MAXIMUM TENSION ( Reaction of Cable ) TMAX= ( VA2 + H2 ) ^ 0.667725 KN 1473. Factor Length / Bridge Span.25 KN / m 1.36 KN ( Due to Temperature ) HORIZONTAL ( Reaction ) H= WL2 / 8h 9135.m.00 m Width of the Bridge= 1.09 degrees Concentrated Loadings : Distance From Left Support Intensity m KN m KN m KN m KN m KN m KN m KN m KN m KN Solution: SHEAR ( Vertical Reaction ) VA= W L/2 VA= 1461.00 degrees Lowest Height of cable to Girder= 1.5 20.79 KN ( Due to Temperature ) Section Mod Inclination of anchor cable to horizontal= cos-1 ( H / Tmax ) Ǿ= 9.20 m Height of Tower ( h1 )= 6.80 m Equal Distance of Suspendor= 1.50 9251.80 KN / sq.62 KN 9323.88 =W.09 degrees If the Cable is supported by saddle: Tsaddle= TMAX ( cos Ǿ )/ cos β 12919.80 KN ( Due to Temperature ) Vertical Force of Tower= Tsaddle sin β + Tmax sin Ǿ 10597.44 KN 13022.4232813 KN 9208.20 m Central Deflection ( sag.(L) = 140.00 m Live Uniform Load= 4.20 KN / m 1.25 Dead Uniform Load ( Toppings & Floor Joist )= 1. ultimate Load Inclination of anchor cable to horizontal ( Ǿ )= 9.3275 2.09 KN . 50 KN .720 Mpa ) Nominal Diameter Breaking Strength Area of Strand Minimum Load @ 1% Extension mm KN mm2 KN 6.84 87.20 KN 139.cos β ) 2593.20 KN 12.20 KN 15.68 102.58 KN ( Due to Temperature ) Tpulley( horizontal )= Tmax (cos Ǿ .90 KN 74.50 140.53 mm 102.cos β ) h1 17636.61 75.60 m Length of Anchor Cable = 9.60 m Total Length of Cable= 159.20 KN Grade 270 ( 1.35 204.70 KN 140.83 m 184.62 m Distance of Anchor to Tower = 6.24 mm 260.29 KN ( Due to Temperature ) Bending Moment of the Tower= Tmax (cos Ǿ .54 KN 2614.90 136.00 m ( Due to Allowance ) Properties of Uncoated Seven-Wire.50 KN 37.30 KN 12.22 34.00 KN 11.42 54.35 mm 40.11 mm 137.30 KN 54.80 m Total Disturbance of Bridge= 153.(32h4 / 5L3) 140.70 mm 160.60 KN 11.50 + ln ( m + (1+m2)^0.00 KN 23.24 mm 240.70 KN 98.00 221.94 mm 64.87 KN ( Due to Temperature ) If the Cable is supported by pulley: Vertical Force of Tower= TMAX ( sin Ǿ + sin β ) 8003.70 mm 183. Stressed Relieved Strand ( ASTM A416 ) Grade 250 ( 1.00 KN 7.11 mm 120.19 117.10 KN 69.60 m (L2/8d) (m(1+m2)^0.53 mm 89.860 Mpa ) Nominal Diameter Breaking Strength Area of Strand Minimum Load @ 1% Extension mm KN mm2 KN 9.70 KN 9.71 156.00 KN 51.17 KN-m ( Due to Temperature ) Length of Sag Cable = L + (8h2 /3L) 140.10 KN 92.60 m L + (8h2 /3L) .08 KN-m 17777.10 KN 15. 10681.55 KN 8067.