Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Chapter 8, Problem 8.31PP
Benzene at
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Q6/ A helical square section spring is set inside another, the outer spring having a free
length of 35 mm greater than the inner spring. The dimensions of each spring are as
follows:
Mean diameter (mm)
Side of square section (mm)
Active turns
Outer
Inner
Spring
Spring
120
70
8
7
20
15
Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring
rate of the two springs after sufficient load has been applied to deflect the outer
spring 60 mm. Use G = 83 GN/m².
Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire.
The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean
diameter of spring to the longer side of wire is nearly equal to 6. Three such springs
are required to bring to rest a carriage weighing 25 kN moving with a velocity of
75 m/min with a maximum deflection of 200 mm. Determine the sides of the
rectangular section of the wire and the mean diameter of coils when the shorter side is
parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa
and G = 84 kN/mm².
Q6/ A belical
11.
A load of 2 kN is dropped axially on a close coiled helical spring, from a height of 250 mm. The spring
has 20 effective turns, and it is made of 25 mm diameter wire. The spring index is 8. Find the maximum
shear stress induced in the spring and the amount of compression produced. The modulus of rigidity
for the material of the spring wire is 84 kN/mm².
[Ans. 287 MPa; 290 mm]
Chapter 8 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 8 - A 4-in-ductile iron pipe carries 0.20ft3/s of...Ch. 8 - Calculate the minimum velocity of flow in ft/s of...Ch. 8 - Calculate the maximum volume flow rate of fuel oil...Ch. 8 - Calculate the Reynolds number for the flow of each...Ch. 8 - Determine the smallest metric hydraulic copper...Ch. 8 - In an existing installation, SAE 10 oil (sg = 0.89...Ch. 8 - From the data in Appendix C, we can see that...Ch. 8 - Compute the Reynolds number for the flow of 325...Ch. 8 - Benzene (sg = 0.86 ) at 60c C is flowing at 25...Ch. 8 - Hot water at 80 C is flowing to a dishwasher at a...
Ch. 8 - A major water main is an 18 -in ductile iron pipe....Ch. 8 - ]8.12 An engine crankcase contains SAE 10 motor...Ch. 8 - Repeat Problem 8.12 for an oil temperature of 160...Ch. 8 - At approximately what volume flow rate will propyl...Ch. 8 - SAE 30 oil (sg = 0.89 ) is flowing at 45 L/min...Ch. 8 - Repeat Problem 8.15 for an oil temperature of 160...Ch. 8 - Repeat Problem 8.15, except the tube is 50 mm...Ch. 8 - Repeat Problem 8.17 for an oil temperature of 0 C.Ch. 8 - The lubrication system for a punch press delivers...Ch. 8 - After the press has run for some time, the...Ch. 8 - A system is being designed to carry 500 gal/min of...Ch. 8 - The range of Reynolds numbers between 2000 and...Ch. 8 - The water line described in Problem 8.22was a cold...Ch. 8 - In a dairy, milk at 100 F is reported to have a...Ch. 8 - In a soft-drink bottling plant, the concentrated...Ch. 8 - ]8.26 A certain jet fuel has a kinematic viscosity...Ch. 8 - Crude oil is flowing vertically downward through...Ch. 8 - Water at 75 C is flowing in a standard hydraulic...Ch. 8 - Fuel oil is flowing in a 4 -in Schedule 40 steel...Ch. 8 - A 3-in Schedule 40 steel pipe is 5000 ft long and...Ch. 8 - Benzene at 60 C is flowing in a DN 25 Schedule 80...Ch. 8 - As a test to determine the effective wall...Ch. 8 - Water at F flows from a storage tank through ft...Ch. 8 - A water main is an 18 -in-diameter concrete...Ch. 8 - Figure 8.12shows a portion of a fire protection...Ch. 8 - A submersible deep-well pump delivers 745 gal/h of...Ch. 8 - On a farm, water at 60 F is delivered from a...Ch. 8 - Figure 8.15 shows a system for delivering lawn...Ch. 8 - A pipeline transporting crude oil (sg = 0.93 ) at...Ch. 8 - For the pipeline described in Problem 8.39,...Ch. 8 - Water at 10 C flows at the rate of 900 L/min from...Ch. 8 - For the system shown in Fig. 8.17, compute the...Ch. 8 - Fuel oil (sg = 0.94 ) is being delivered to a...Ch. 8 - Figure 8.18 shows a system used to spray polluted...Ch. 8 - In a chemical processing system, the flow of...Ch. 8 - Water at 60 F is being pumped from a stream to a...Ch. 8 - For the pump described in Problem 8.46, if the...Ch. 8 - Gasoline at 50 F flows from point A to point B...Ch. 8 - Figure 8.20 shows a pump recirculating 300 gal/min...Ch. 8 - Linseed oil at 25 C flows at 3.65 in a standard...Ch. 8 - Glycerin at 25 C flows through a straight...Ch. 8 - Water at 75 C flows in a standard hydraulic copper...Ch. 8 - Benzene (sg = 0.88 ) at 60 C, flows in a DN 25...Ch. 8 - Water at 80 F flows in a 6 -in coated ductile iron...Ch. 8 - Water at 50 F flows at 15.0 ft3/s in a concrete...Ch. 8 - Water at 60 F flows at 1500 gal/min in a 10 -in...Ch. 8 - ]8.57 A liquid fertilizer solution (sg = 1.10 )...Ch. 8 - Crude oil (sg = 0.93 ) at 100 C flows at a rate of...Ch. 8 - Water at 65 C flows in a DN 40 Schedule 40 steel...Ch. 8 - Propyl alcohol flows in a standard hydraulic...Ch. 8 - ]3.61 Water at 70 F flows in a 12 -in-diameter...Ch. 8 - Heavy fuel oil at 77 F flows in a 6 -in Schedule...Ch. 8 - Water flows at a rate of 1.50ft3/s through 550 ft...Ch. 8 - Compute the energy loss as water flows in a...Ch. 8 - ]8.65 A water main is an 18 -in-diameter concrete...Ch. 8 - A fire protection system includes 1500 ft of 10...Ch. 8 - ]8.67 A standard hydraulic copper tube, 120 mm...Ch. 8 - Compute the energy loss as 2.0ft3/s of water flows...Ch. 8 - It is desired to flow 2.0ft3/s of water through...Ch. 8 - Specify a suitable size of new, clean Schedule 40...Ch. 8 - For the pipe selected in Problem 8.70, compute the...Ch. 8 - Compare the head loss that would result from the...Ch. 8 - In Problem 6.107, a theoretical flow rate of water...Ch. 8 - A pipeline is needed to transport medium fuel oil...Ch. 8 - Medium fuel oil at 25 C is to be pumped at a flow...Ch. 8 - A tremendous amount of study has gone into the...Ch. 8 - In a given installation, it is determined that the...Ch. 8 - "Laminar" fountains have become quite popular due...Ch. 8 - Use PIPE-FLO to model a straight horizontal run of...
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