Hello, can I get help please? 14.21 A 2800 m long pipeline conveys water at a veloc-ity of 2.0 m/s. If a valve at the downstream end isclosed suddenly, calculate the maximum pressurerise. Sketch the variation of the water hammerpressure with time at (i) the valve end (ii) mid-point B of the pipe and (iii) at point C 2100 mupstream of the valve. The pipe starts from a lakeat the upstream end. Assume the pipe to be rigid.For water, take K = 1.956 × 10³ Pa.Solution: C = √K/P =Critical time T₁==Period of pressure fluctuation:Water hammer pressurePh = PCV₁ = 998 x 1400 × 2.0 Pa(i) Figure 14.16 (a) shows the variation of the waterhammer pressure Ph at the valve V with the staticpressure at V as datum.LakeLOPh0-Ph700 m 700 mC-3B1400 m-VValve1 2 3 4 5 6 7 8 9 10 1112 13Time in seconds(a)Fig. 14.16(a) Variation of Ph at Valve VTime taken for P to reach the lake = 2800/1400= 2sTime taken for the reflected wave to reachV=2sHence from 0 to 4 s, the pressure at V will be + Phand from 4 to 8 s, it will be - Phand from 8 to 12 s, it will be + Phand so on.Note the period of the wave is 8 s.

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A 2800 m long pipeline conveys water at a veloc- ity of 2.0 m/s. If a valve at the downstream end is closed suddenly, calculate the maximum pressure rise. Sketch the variation of the water hammer pressure with time at (i) the valve end (ii) mid- point B of the pipe and (iii) at point C 2100 m upstream of the valve. The pipe starts from a lake at the upstream end. Assume the pipe to be rigid. For water, take K = 1.956 × 10° Pa.

A 2800 m long pipeline conveys water at a veloc- ity of 2.0 m/s. If a valve at the downstream end is closed suddenly, calculate the maximum pressure rise. Sketch the variation of the water hammer pressure with time at (i) the valve end (ii) mid- point B of the pipe and (iii) at point C 2100 m upstream of the valve. The pipe starts from a lake at the upstream end. Assume the pipe to be rigid. For water, take K = 1.956 × 10° Pa.

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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