Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have a cross-sectional area A. Outlet pipe 2 is orientated at an angle 0₂ from the horizontal, and outlet is orientated 03 from the horizontal. a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3. b) Find an expression for the horizontal force on the pipe junction. c) Find an expression for the vertical force acting on the pipe junction. d) If 0₂ 03 = 60°, find a such that there is no vertical force acting on the system. =
Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have a cross-sectional area A. Outlet pipe 2 is orientated at an angle 0₂ from the horizontal, and outlet is orientated 03 from the horizontal. a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3. b) Find an expression for the horizontal force on the pipe junction. c) Find an expression for the vertical force acting on the pipe junction. d) If 0₂ 03 = 60°, find a such that there is no vertical force acting on the system. =
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as
shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have
a cross-sectional area A.. Outlet pipe 2 is orientated at an angle 0₂ from the horizontal,
and outlet is orientated 03 from the horizontal.
a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3.
b) Find an expression for the horizontal force on the pipe junction.
c) Find an expression for the vertical force acting on the pipe junction.
d) If 0₂ 03 = 60°, find a such that there is no vertical force acting on the system.
=
Transcribed Image Text:A
A₂
A₂
0₂
03
aQ
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