90 mm pipe 45 deg
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1. This document analyzes the thrust block parameters for a 90mm diameter pipe bent at 45 degrees. It calculates thrust values, soil and concrete weights, buoyancy forces, and passive soil resistance. 2. Stability is evaluated for overturning, sliding, and buoyancy at the design pressure of 450 kN/m2 and hydrostatic test pressure of 675 kN/m2. Factors of safety are above 1.5, indicating the thrust block design is safe. 3. The key parameters of the 90mm diameter pipe bent at 45 degrees are summarized, including the design and hydrostatic test pressures used in the stability evaluations.
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90 mm pipe 45 deg
- 1. DEGREES BEND 1. Thrust Block Parameters. TABLE Soil Bearing Capacity, SBC = kPa Operating Pressure, PO = bars = kN/m2 Area of Pipe, AP = m2 = 0.382 Cos θ/2 = = T P Thrust, TV = T sin (θ/2) = 0.84 kN Thrust, TH = T cos (θ/2) = 2.02 kN Hydro Static Pressure, PT = kN/m2 Thrust, T = 3.97 kN Thrust, TV = T sin (θ/2) = 1.257 kN Thrust, TH = T cos (θ/2) = 3.035 kN Pipe Self weight = 0.02 Kn/m (From Amiantit Fiberglass product guide (5000 STIS)) Weight of water = 10 kn/m Weight of concrete = 24 kn/m3 Saturated weight of soil = 8 kn/m3 Factor of safety for Overturning (Fso) = 1.5 Factor of Safety (Fss) = 1.5 Factor of Safety for Buoyancy (Fsu) = 1.2 Coefficient of friction of soil µ = 0.4 Pipe Cover , Cp = 1200 mm to top of pipe,see note 9 below Depth of Cover , H1 = 745 mm to top of pipe,see note 9 below Passive Pressure Coefficient kp = 3 675 1.395 100.00 4.50 450 0.0064 300 1200 500 Sin θ/2 0.924 600 1000 70090 1000 900 1200 500 VERTICAL THRUST - UPWARD 90MM PIPE 45.0 PIPE DIAMETER (mm) A B L D C G E H SOIL FILL H1 F CONCRET E VOLUME (m3 )
- 2. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 F = 500 B = A = 1000 T A3 C = 600 A2 G = 1000 A4 E = 700 90 D = 500 A1 H = 300 L = 1200 2. Center of mass A1 M2 A2 M2 A3 M2 A4 M2 TOTAL VOLUME 1.4 M3 X M Y M 3.WEIGHT OF SATURATED SOIL OVER THRUST BLOCK FILL OVER PIPE Fill 1 1.39 m3 FILL OVER THRUST BLOCK Fill 2 1.08 m3 Volume of total fill Ftotal 2.47 m3 Volume x saturated unit weight Ff 19.7 Kn 4. BUOYANCY OF THRUST BLOCK FOR UPLIFT AND SLIDING VOLUME OF THRUST BLOCK = M3 UPLIFT FORCE FB = Kn THRUST BLOCK SELF WEIGHT 1.395 13.95 900 0.82 0.67 0.6 0.5 0.3 0.15
- 3. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 BLOCK FORCE MOM ABT P F1 12.96 M1 7.776 F2 10.8 M2 2.7 F3 6.48 M3 1.62 F4 3.24 M4 0.54 5.WEIGHT OF SATURATED SOIL OVER THRUST BLOCK F5 11.088 kn M5 9.4248 knm F6 4.32 kn M6 1.08 knm F7 4.32 kn M7 1.08 knm 6.BUOYANCY OF THRUST BLOCK FOR UPLIFT AND SLIDING F8a 5.4 kn M8a 4.59 knm F8b 4.5 kn M8b 1.125 knm F8c 2.7 kn M8c 0.675 knm F8d 1.35 kn M8d 0.23 knm 7.WEIGHT OF WATER IN PIPE AND PIPE SELF WEIGHT F9 0.10 kn M9 0.06 knm F10 0.04 kn M10 0.01 knm
- 4. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 8.PASSIVE RESISTANCE OF SOIL Top of thrust block passive pressure , P1 = H1 kp = 2.235 kpa Bottom of thrust block passive resistance P1 = (H1+G+D) kp = 6.735 kpa Pavg = 4.49 kpa Average thrust block passive pressurePavg (D+G)B 6.05475 kn M11 = 4.5410625 knm EVALUATE FOR OVERTURNING Evaluated for Design pressure FOR OVERTURNING TVD 0.84 KN MTVD 0 KNM THD 2.02 KN MTHD 2.0234824 KNM
- 5. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 TV F3 F2 TH F4 F1 F6 F7 F5 F8 O F9 F10 O
- 6. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 F8c F8b F8d F8a MR = M1+M2+M5+M6+M8c+M8d+M9 21.94 KNM MO = M3+M4+M7+M8a+M8b+M10+MTH+MTV 10.99 KNM FOS overturning SAFE EVALUATED AT HYDROTEST PRESSURE TVT 1.2565229 KN MTVD 0 KNM THT 3.0352236 KN MTHD 3.0352236 KNM MR M1+M2+M5+M6+M8c+M8d+M9+M1126.48 KNM MO M3+M4+M7+M8a+M8b+M10+M 12.00 KNM FOS overturning 2.21 SAFE EVALUATE FOR SLIDING Evaluated for Design pressure Friction Resistance (VT. WC + FF) µ 21.2832 KN THT 2.02 KN FACTOR OF SAFETY AGAINST SLIDING 10.52 SAFE Evaluated for Hydrotest pressure . Friction Resistance (VT. WC + FF) µ + F11 27.33795 KN THT 3.04 KN FACTOR OF SAFETY AGAINST SLIDING 9.01 SAFE 2.00
- 7. DEGREES BEND VERTICAL THRUST - UPWARD 90MM PIPE 45.0 Evaluated for Buoyancy . Evaluated at Design Pressure Fu = VT WC + FF 53.21 TVD+VT WW 14.79 KN FACTOR OF SAFETY AGAINST BUOYANCY3.60 SAFE Evaluated at Hydrotest Pressure Fu = VT WC + FF 53.21 TVD+VT WW 15.21 KN FACTOR OF SAFETY AGAINST BUOYANCY 3.50 SAFE SUMMARY OF RESULTS PIPE DIAMETER = 90 MM SYSTEM DESIGN PRESSURE = 450 KN/M2 SYSTEM HYDROSTATIC PRESSURE= 675 KN/M2