A pipe bend tapers from a diameter of 500 mm at inlet to a diameter of 250 mm at outletand turns the flow through an angle of 45°. Measurements of pressure at the inlet andoutlet show that the pressure at inlet is 40kN/m2 and the pressure at outlet is23 kN /m2 . If the pipe is conveying oil which has a density of 850 kg/m3 , determine themagnitude and direction of the resultant force on the bend when the oil is flowing at therate of 0.45 m3⁄s. The bend is in a horizontal plane. d, = 500 mmV10=45°P1 =40 kN/m?ControlVolumed2 =,250 mmP2 =23 kN/m?

Given data Diameter Discharge Angle Pressure We will use Momentum equation to solve this…

Answered: d, = 500 mm 0 = 45° P1 = 40 kN/m?…

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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A pipe bend tapers from a diameter of 500 mm at inlet to a diameter of 250 mm at outlet
and turns the flow through an angle of 45°. Measurements of pressure at the inlet and
outlet show that the pressure at inlet is 40kN/m² and the pressure at outlet is
23 kN /m² . If the pipe is conveying oil which has a density of 850 kg/m³ , determine the
magnitude and direction of the resultant force on the bend when the oil is flowing at the
rate of 0.45 m3⁄s. The bend is in a horizontal plane.

d, = 500 mm
V1
0=45°
P1 =
40 kN/m?
Control
Volume
d2 =,
250 mm
P2 =
23 kN/m?

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