Problem 3 Water flows through a pipe fitting that splits the total flow into three parts. The straight portions of the pipe have the same cross-sectional area A1 = A2 = 1 m2, while the angled pipes share the cross-sectional area A3 = A4 = 2 m2. The angle between the straight pipes and the stright pipe is a = 45 degrees. %3D 1. Given the inlet flow rate Q = 5 m³/s, the exit velocity of the straight pipe v2 = 1 m/s, find the exit velocity in the angled pipes. 2. The pipe fitting is anchored to the floor (gray) with a single screw (red). Assume viscous forces are negligible, determine the r and y components of the force that the pipe fitting exerts on the screw. Clearly illustrate the free body diagram of the pipe fitting. Is your assumption valid? A V2, A2 V3, A3 VA, A4 anchor L. floor Vi, A
Problem 3 Water flows through a pipe fitting that splits the total flow into three parts. The straight portions of the pipe have the same cross-sectional area A1 = A2 = 1 m2, while the angled pipes share the cross-sectional area A3 = A4 = 2 m2. The angle between the straight pipes and the stright pipe is a = 45 degrees. %3D 1. Given the inlet flow rate Q = 5 m³/s, the exit velocity of the straight pipe v2 = 1 m/s, find the exit velocity in the angled pipes. 2. The pipe fitting is anchored to the floor (gray) with a single screw (red). Assume viscous forces are negligible, determine the r and y components of the force that the pipe fitting exerts on the screw. Clearly illustrate the free body diagram of the pipe fitting. Is your assumption valid? A V2, A2 V3, A3 VA, A4 anchor L. floor Vi, A
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question 3 : Please answer parts 1 & 2.
Transcribed Image Text:Problem 3
Water flows through a pipe fitting that splits the total flow into three
parts. The straight portions of the pipe have the same cross-sectional area A1 = A2 = 1 m2,
while the angled pipes share the cross-sectional area A3 = A4 = 2 m2. The angle between
the straight pipes and the stright pipe is a = 45 degrees.
1. Given the inlet flow rate Q = 5 m³/s, the exit velocity of the straight pipe v2 = 1 m/s,
find the exit velocity in the angled pipes.
2. The pipe fitting is anchored to the floor (gray) with a single screw (red). Assume
viscous forces are negligible, determine the x and y components of the force that the
pipe fitting exerts on the screw. Clearly illustrate the free body diagram of the pipe
fitting. Is your assumption valid?
AV2, A2
V3, A3
V4, A4
anchor
L.
floor
Vi, A1
Figure 3: Pipe fitting that splits flow into three parts. Figure not to scale.
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