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The elbow for a buried pipe of diameter d is subjected to static pressure P. The speed of the water passing through it is v. Assuming the pipe connection at A and B do not offer any vertical force resistance on the elbow, determine the resultant vertical force F that the soil must then exert on the elbow in order to hold it in equilibrium. Neglect the weight of the elbow and the water within it. The density of water is { γ }_{ w } . Given: d = 5 in , θ = 45 deg , P = 10 lb/ { in }^{ 2 } , { γ }_{ w } = 62.4 lb/ { ft }^{ 3 } , v = 8 ft/s

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