A reducing elbow is used to deflect water flow at a rate of 14 kg/s in a horizontal pipe upward 30° while accelerating it (see picture below). The elbow discharges water into the atmosphere. The cross-sectional area of the elbow is 113 cm2 at the inlet and 7 cm? at the outlet. The elevation difference between the centers of the outlet and the inlet is 30 cm. The weight of the elbow and the water in it is considered to be negligible. Determine (a) the gage pressure at the center of the inlet of the elbow and (b) the anchoring force needed to hold the elbow in place. Assume the momentum flux correction factors ß at both inlet and outlet equal to 1.03. atm mv FRz FRS 30 cm mV1 T30° P1.gage

A reducing elbow is used to deflect water flow at a rate of 14 kg/s in a horizontal pipe upward 30° while accelerating it (see picture below). The elbow discharges water into the atmosphere. The cross-sectional area of the elbow is 113 cm2 at the inlet and 7 cm? at the outlet. The elevation difference between the centers of the outlet and the inlet is 30 cm. The weight of the elbow and the water in it is considered to be negligible. Determine (a) the gage pressure at the center of the inlet of the elbow and (b) the anchoring force needed to hold the elbow in place. Assume the momentum flux correction factors ß at both inlet and outlet equal to 1.03. atm mv FRz FRS 30 cm mV1 T30° P1.gage

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

A reducing elbow is used to deflect water flow at a rate of 14 kg/s in a horizontal pipe upward 30°
while accelerating it (see picture below). The elbow discharges water into the atmosphere. The
cross-sectional area of the elbow is 113 cm? at the inlet and 7 cm? at the outlet. The elevation
difference between the centers of the outlet and the inlet is 30 cm. The weight of the elbow and
the water in it is considered to be negligible. Determine (a) the gage pressure at the center of the
inlet of the elbow and (b) the anchoring force needed to hold the elbow in place.
Assume the momentum flux correction factors B at both inlet and outlet equal to 1.03.
Patm
mV
F RZ
FR
30 cm
Rx
mV
30°
CV
P1.gage

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A converging tube discharges water from a reservoir, into the air, at depth of 6 ft below the water surface. The diameter gradually decreases from 12 inch to 6 inch at the outlet. Neglecting friction, determine the rate of change in cubic feet per second.
A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 47 kg/s. Another identical elbow is attached to the existing elbow such that the water flow makes a U-turn as shown in the second figure. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet. Take the density of water to be 1000 kg/m³. Water m kg/s Water 2 1 FRI 50 cm FRX 50 cm If another (identical) elbow is attached to the existing elbow so that the fluid makes a U-turn, determine the magnitude of anchoring force needed to hold the elbow in place. The magnitude of anchoring force needed to hold the elbow in place is 438 * N.
Note:hand written solution should be avoided.
A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 43 kg/s. Another identical elbow is attached to the existing elbow such that the water flow makes a U-turn as shown in the second figure. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Take the momentum-flux correction factor to be 1.03 at both the inlet and the outlet. Take the density of water to be 1000 kg/m3.