EBK FLUID MECHANICS
2nd Edition
ISBN: 8220106714287
Author: HIBBELER
Publisher: PEARSON
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Chapter 7, Problem 76P
To determine
The pressure and velocities for the flow at locations of
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Q1.
If the yield stress (σy) of a material is 375MPa, determine whether yield is
predicted for the stresses acting on both the elements shown below using:
(a) Tresca Criterion
(b) Von Mises Criterion
P
Element A
R
S
Element B
Note: your values for P (vertical load on Element A) should be negative (i.e.
corresponding to a compressive vertical load).
Q. After a puncture a driver is attempting to remove a wheel nut by applying a force
of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace
is a hollow steel tube (see section aa) of internal diameter r mm and external
diameter q mm.
wheel
nut
n
Position S
P
m
r
q
Section aa
Fig, 1
(a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear
force in the brace at position S due to the applied load P.
(b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress at
position S. Note that the shear force will not produce any shear stress at S.
(c) Calculate the maximum shearing stress in the brace at position S using the
Maximum Shear Stress Criterion.
2
Mechanics of Materials 2
Tutorials Portfolio: Exercise 5
(d) If the maximum permissible shear stress in the steel is 200 MPa, determine
the maximum torque that can be applied by the brace without the risk of
failure at S.
Calculate the first 5 Fourier series coefficients (A0-4 and B1-5 ) for the estimated R wave.
Chapter 7 Solutions
EBK FLUID MECHANICS
Ch. 7 - Prob. 1PCh. 7 - A flow is defined by its velocity components u =...Ch. 7 - A uniform flow at 6 m/s is directed at an angle of...Ch. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Determine the stream and potential functions for...Ch. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - The velocity profile of a liquid flowing along the...
Ch. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - The liquid confined between two moving plates has...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - A flow has velocity components u = 2(y − x) ft/s...Ch. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - If a building has a flat roof and is located 20 m...Ch. 7 - Prob. 45PCh. 7 - Combine a source of strength q with a free...Ch. 7 - Prob. 47PCh. 7 - Show that the equation that defines a sink will...Ch. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - A source q is emitted from the wall while a flow...Ch. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - The long rotating cylinder is subjected to a...Ch. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Prob. 71PCh. 7 - Prob. 72PCh. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - If the uniform velocity of the air is 15 m/s and...Ch. 7 - Prob. 80PCh. 7 - The long cylinder is rotating counterclockwise...Ch. 7 - Prob. 82PCh. 7 - Liquid is confined between a top plate having an...Ch. 7 - A horizontal velocity is defined by u = 2(x2 − y2)...Ch. 7 - The sloped open channel has steady laminar flow...Ch. 7 - Prob. 86PCh. 7 - The channel for a liquid is formed by two fixed...
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