Water from a reservoir flowing through a deformable 600mm diameter pipe with a velocity of 2.5m/s is completely stopped by a closure of a valve situated 400m from the reservoir. Assume that the pressure increases at a uniform rate and that there is no damping of pressure wave. The pipe has a thickness of 20mm. Bulk modulus of water is 2.20x10°Pa and modulus of elasticity of steel is 0.14x10"Pa. Find the water hammer pressure for instantaneous valve closure.

Water from a reservoir flowing through a deformable 600mm diameter pipe with a velocity of 2.5m/s is completely stopped by a closure of a valve situated 400m from the reservoir. Assume that the pressure increases at a uniform rate and that there is no damping of pressure wave. The pipe has a thickness of 20mm. Bulk modulus of water is 2.20x10°Pa and modulus of elasticity of steel is 0.14x10"Pa. Find the water hammer pressure for instantaneous valve closure.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the outside diameter of a hallow steel tube that will carry a tensile load of 500 KN at a…

Q: Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters shown.…

Q: A spherical shell with 70-in. outer diameter and 67-in. inner diameter contains helium at a pressure…

A: Compute stress in the shell?

Q: A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that…

Q: 1. A steel rod is positioned vertically as shown in the figure. It is fixed at one end and…

Q: A cylindrical boiler with an outside diameter of 2.55m and a wall thickness of 27mm is made of a…

A: (a) σMax= 78.577 MPa (b) Pallow= 2.586 MPa

Q: A load of 1950N is raised at the end of a steel wire. The minimum diameter of the wire so that…

A: Given data :- Load = 1950 N Stress = 100 N/mm2 Calculate the minimum diameter of the wire

Q: 1. When the force of 3 mN is applied to the plate the line AB in the liquid remains straight and has…

A: Please refer the attached image for complete solution. THANK YOU.

Q: The acrylic plastic rod is 300 mm long and 15 mm in diameter. If an axial load of 200 N is applied…

Q: aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank is 165mm…

Q: A transmission shaft made of steel having ultimate strength 500 MPa and yield strength 320 MP is…

A: Given data : Ultimate strength of steel shaft = 500 MPa Yield Strength = 320 MPa Endurance strength…

Q: A typical aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank…

A: Given data, The outside diameter of the tank, d = 180mm Wall thickness t, = 13mm Pressure in the…

Q: 3. A steel pipe 1.5 m diamter is required to carry an internal pressure of 750 kPa, If the allowable…

Question

Water from a reservoir flowing through a deformable 600mm diameter pipe with a
velocity of 2.5m/s is completely stopped by a closure of a valve situated 400m from the
reservoir. Assume that the pressure increases at a uniform rate and that there is no
damping of pressure wave. The pipe has a thickness of 20mm. Bulk modulus of water is
2.20x10°Pa and modulus of elasticity of steel is 0.14x10 Pa. Find the water hammer
pressure for instantaneous valve closure.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Stresses in saturated soil without seepage

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A 13 in length of aluminum tubing (with E = 11.4 x 106 psi and  = 12 x 10-6 /deg F) having a cross-sectional area of 1.6 in2 is installed with “fixed” ends so that it is stress-free at 70 deg F. In operation, the tube is heated throughout to a uniform 500 deg F. Careful measurement at the higher temperature indicates that the fixed ends separate to 13.008 in. What loads are exerted on the ends of the tube, and what are the resultant stresses?
3. A spherical pressure vessel has a D (mm) inner radius and thickness of 45mm. It is constructed by joining two hollow hemispheres connected by 10nos of 28mm dia bolts along the circumference. Working tensile stress of the vessel is 40 MPa while the tensile stress of the bolt is (o) MPa. (a) What is the maximum allowable internal pressure considering only the capacity of the bolts? (b) What is the maximum allowable internal pressure considering only the capacity of the vessel? (c) What is the maximum allowable internal pressure of the structure in Megapascals Assume: D = 761 σ = 461
A typical aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank is 165mm and the wall thickness is 15mm. If the air in the tank is pressurized to 18.0MPa, determine: (a) the longitudinal and hoop stresses in the wall of the tank. (b) the maximum shear stress in the plane of the cylinder wall. (c) the absolute maximum shear stress on the outer surface of the cylindrical wall. Answers: MPa MPa MPa MPa (a) Olong= Thoop= (b) Tmax= (c) Tabs max= Mi i i i
An 8-mm thick steel tank has an outside diameter of 600 mm. It is internal pressure of 2.40 MPa. Determine the maximum subjected to stress in the tank. an
The gas storage tank is fabricated by bolting together two half cylindrical shells and two hemispherical shells as shown in Figure 4. The tank and the 25 mm diameter bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively. The tank has an inner diameter of 4m. If the tank is designed to withstand a pressure of 3 MPa, a. Determine the required minimum thickness of the cylindrical and hemispherical shells b. Determine the minimum required number of bolts for each hemispherical caps. Figure 4
Full solution.
A water tank made from a steel having a thickness of 12mm has the following dimensions. Internal Diameter:4 meters Height:6 meters Determine the circumferential stress in the walls of the water tank and longitudinal stress at the bottom of the water tank if the internal pressure inside the tank is 7.36 MPa. Answer should be in MPa.
A hydraulic punch press is used to punch a slot in a 10-mm-thick plate, as illustrated. If the plate shears a determine the minimum force P required to punch the slot. Punch O 1051 KN O 766 kN O 649 kN O 717 KN O 979 KN Slug Plate 20 mm 75 mm Plan view of slug + a stress of 360 MPa,
A steel penstock 60 cm in diameter has a shell thickness of 1.2 cm. The modulus of elasticity of pipe shell material is 2.1 × 105 N/mm² with a Poisson's ratio of 1/4, and the volume modulus of elasticity of water is 2.1 × 103 N/mm². The pipe is designed to discharge water at mean velocity of 2.1 m/sec Determine the water hammer pressure rise caused by sudden closure of the valve at the d/s end (1) neglecting the elasticity of the pipe material; and (2) considering the elasticity of the pipe material.
Mechanics of deformable bodies.
Consider a pressure vessel that is made of two half-spherical domes with 1 ft in diameter, and the cylinder portion is 3 ft in length and is subjected to 100 psi pressure. The maximum tensile strength of the material is 55 ksi. The factor of safety for this design is 1.5. Problem: Determine the minimum thickness for this design.
A leaf spring I m long is made up with steel plates with width equal to 6 times its thickness. Design the spring for a load of 15 kN when the maximum stress is 100 MPa and deflection is not to exceed 16 mm.