FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 1.2, Problem 21P
(a)
To determine
Express
(b)
To determine
Express
(c)
To determine
Express
(d)
To determine
Express
(e)
To determine
Express
Expert Solution & Answer
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Students have asked these similar questions
PROBLEM 10: A sleeve in the form of a circular tube of length L is Nut
placed around a bolt and fitted between washers at each end.
The nut is then turned until it is just snug.
Use material properties as follows:
For the sleeve, as = 21 x 106/°C and Es = 100 GPa
Washer
Bolt
·L·
Sleeve
Bolt head
For the bolt, αB = 10 × 10-6/°C and EB = 200 GPa.
1. Calculate the temperature rise that is required to produce a compressive stress of 25 MPa in the sleeve.
This problem illustrates that the factor of safety for a machine element depends on the particular point selected for
analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and
B of the member shown in the figure. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces
F = 1.100 kN, P = 8.00 kN, and T = 50.00 N·m. Given: Sy = 280 MPa.
B
-100 mm-
15-mm D.
a) What is the value of the axial stress at point A?
b)What is the value of the shear stress at point A?
c)Determine the value of the Von Mises stress at
point A.
P
F
The three steel wires, each of cross-sectional area 0.05 in2, support the weight W. Theirunstressed lengths are 74.98 ft, 74.99 ft, and 75.00 ft. Use E = 29 x 106 psi.1. Find the stress (psi) in the longest wire if W = 1500 lb.2. Determine the stress in the shortest wire if W = 500 lb
ANSWERS: 6130 psi; 6930 psi
Chapter 1 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Verify the dimensions, in both the FLT system and...Ch. 1.2 - If u is a velocity, x a length, and t a time, what...Ch. 1.2 - Verify the dimensions, in both the FLT system and...Ch. 1.2 - If p is a pressure, V a velocity, and ρ a fluid...Ch. 1.2 - If P is a force and x a length, what are the...Ch. 1.2 - If V is a velocity, ℓ a length, and ν a fluid...
Ch. 1.2 - The momentum flux (discussed in Chapter 5) is...Ch. 1.2 - An equation for the frictional pressure loss Δ p...Ch. 1.2 - The volume rate of flow, Q, through a pipe...Ch. 1.2 - Show that each term in the following equation has...Ch. 1.2 - The pressure difference, Δp, across a partial...Ch. 1.2 - Assume that the speed of sound, c, in a fluid...Ch. 1.2 - A formula to estimate the volume rate of flow, Q,...Ch. 1.2 - A commercial advertisement shows a pearl falling...Ch. 1.2 - Express the following quantities in SI units: (a)...Ch. 1.2 - Express the following quantities in BG units: (a)...Ch. 1.2 - Express the following quantities in SI units: (a)...Ch. 1.2 - Water flows from a large drainage pipe at a rate...Ch. 1.2 - The universal gas constant R0 is equal to 49,700...Ch. 1.2 - Dimensionless combinations of quantities (commonly...Ch. 1.2 - An important dimensionless parameter in certain...Ch. 1.4 - Obtain a photograph/image of a situation in which...Ch. 1.4 - A tank contains 500 kg of a liquid whose specific...Ch. 1.4 - A stick of butter at 35 °F measures 1.25 in. ×...Ch. 1.4 - Clouds can weigh thousands of pounds due to their...Ch. 1.4 - A tank of oil has a mass of 25 slugs, (a)...Ch. 1.4 - A certain object weighs 300 N at the Earth’s...Ch. 1.4 - The density of a certain type of jet fuel is 775...Ch. 1.4 - At 4 °C a mixture of automobile antifreeze (50%...Ch. 1.4 - A hydrometer is used to measure the specific...Ch. 1.4 - An open, rigid-walled, cylindrical tank contains 4...Ch. 1.4 - Estimate the number of pounds of mercury it would...Ch. 1.4 - A mountain climber’s oxygen tank contains 1 lb of...Ch. 1.4 - The information on a can of pop indicates that the...Ch. 1.4 -
The variation in the density of water, ρ, with...Ch. 1.4 - If 1 cup of cream having a density of 1005 kg/m3...Ch. 1.4 - With the exception of the 410 bore, the gauge of a...Ch. 1.4 - The presence of raindrops in the air during a...Ch. 1.5 - A regulation basketball is initially flat and is...Ch. 1.5 - Nitrogen is compressed to a density of 4 kg/m3...Ch. 1.5 - The temperature and pressure at the surface of...Ch. 1.5 - A closed tank having a volume of 2 ft3 is filled...Ch. 1.5 - Assume that the air volume in a small automobile...Ch. 1.5 - A compressed air tank contains 5 kg of air at a...Ch. 1.5 - A rigid tank contains air at a pressure of 90 psia...Ch. 1.5 - The density of oxygen contained in a tank is 2.0...Ch. 1.5 - The helium-filled blimp shown in Fig. P1.52 is...Ch. 1.5 - Develop a computer program for calculating the...Ch. 1.6 - Obtain a photograph/image of a situation in which...Ch. 1.6 - For flowing water, what is the magnitude of the...Ch. 1.6 - Make use of the data in Appendix B to determine...Ch. 1.6 - One type of capillary-tube viscometer is shown in...Ch. 1.6 - The viscosity of a soft drink was determined by...Ch. 1.6 - The viscosity of a certain fluid is 5 × 10−4...Ch. 1.6 - The kinematic viscosity and specific gravity of a...Ch. 1.6 - A liquid has a specific weight of 59 lb/ft3 and a...Ch. 1.6 - The kinematic viscosity of oxygen at 20 °C and a...Ch. 1.6 - Fluids for which the shearing stress, τ, is not...Ch. 1.6 - Water flows near a flat surface and some...Ch. 1.6 - Calculate the Reynolds numbers for the flow of...Ch. 1.6 - Prob. 66PCh. 1.6 - For air at standard atmospheric pressure the...Ch. 1.6 - Use the values of viscosity of air given in Table...Ch. 1.6 - The viscosity of a fluid plays a very important...Ch. 1.6 - Prob. 70PCh. 1.6 - For a certain liquid μ = 7.1 × 10−5 lb • s/ft2 at...Ch. 1.6 - For a parallel plate arrangement of the type shown...Ch. 1.6 - Prob. 73PCh. 1.6 - Three large plates are separated by thin layers of...Ch. 1.6 - There are many fluids that exhibit non-Newtonian...Ch. 1.6 - The sled shown in Fig. P1.76 slides along on a...Ch. 1.6 - A 25-mm-diameter shaft is pulled through a...Ch. 1.6 - A hydraulic lift in a service station has a...Ch. 1.6 - A piston having a diameter of 5.48 in. and a...Ch. 1.6 - A 10-kg block slides down a smooth inclined...Ch. 1.6 - A layer of water flows down an inclined fixed...Ch. 1.6 - Oil (absolute viscosity = 0.0003 lb · s /ft2,...Ch. 1.6 - Standard air flows past a flat surface, and...Ch. 1.6 - A new computer drive is proposed to have a disc,...Ch. 1.6 - The space between two 6-in.-long concentric...Ch. 1.6 - Prob. 86PCh. 1.6 - The viscosity of liquids can be measured through...Ch. 1.6 - Prob. 88PCh. 1.6 - Prob. 89PCh. 1.6 - Prob. 90PCh. 1.6 - Some measurements on a blood sample at 37 °C (98.6...Ch. 1.7 - Obtain a photograph/image of a situation in which...Ch. 1.7 - A sound wave is observed to travel through a...Ch. 1.7 - Prob. 94PCh. 1.7 - Estimate the increase in pressure (in psi)...Ch. 1.7 - A 1-m3 volume of water is contained in a rigid...Ch. 1.7 - Determine the speed of sound at 20 °C in (a) air,...Ch. 1.7 - Prob. 98PCh. 1.7 - Prob. 99PCh. 1.7 - Prob. 100PCh. 1.7 - Prob. 101PCh. 1.7 - Prob. 102PCh. 1.7 - Oxygen at 30 °C and 300 kPa absolute pressure...Ch. 1.7 - Compare the isentropic bulk modulus of air at 101...Ch. 1.7 - Prob. 105PCh. 1.7 - Often the assumption is made that the flow of a...Ch. 1.7 - Prob. 107PCh. 1.7 - Prob. 108PCh. 1.7 - Prob. 109PCh. 1.7 - Prob. 110PCh. 1.8 - During a mountain climbing trip it is observed...Ch. 1.8 - Prob. 112PCh. 1.8 - A partially filled closed tank contains ethyl...Ch. 1.8 - Prob. 114PCh. 1.8 - When water at 70 °C flows through a converging...Ch. 1.8 - At what atmospheric pressure will water boil at 35...Ch. 1.9 - Obtain a photograph/image of a situation in which...Ch. 1.9 - When a 2-mm-diameter tube is inserted into a...Ch. 1.9 - A soda straw with an inside diameter of 0.125 in....Ch. 1.9 - Small droplets of carbon tetrachloride at 68 °F...Ch. 1.9 - A 12-mm-diameter jet of water discharges...Ch. 1.9 - A method used to determine the surface tension of...Ch. 1.9 - Calculate the pressure difference between the...Ch. 1.9 - As shown in Video V1.9, surface tension forces can...Ch. 1.9 - Prob. 125PCh. 1.9 - Under the right conditions, it is possible, due to...Ch. 1.9 - An open, clean glass tube, having a diameter of 3...Ch. 1.9 - Prob. 128PCh. 1.9 - Determine the height that water at 60 °F will rise...Ch. 1.9 - Two vertical, parallel, clean glass plates are...Ch. 1.9 - (See The Wide World of Fluids article titled...
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