Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 32P
A water column stands 50 mm high in a 2.5-mm diameter glass tube. What would be the column height if the surface tension were zero? What would be the column height in a 1.0-mm diameter tube?
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Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1
(b)
A steel 'hot rolled structural hollow section' column of length 5.75 m, has
the cross-section shown in Figure Q.5(b) and supports a load of 750 kN.
During service, it is subjected to axial compression loading where one end
of the column is effectively restrained in position and direction (fixed) and
the other is effectively held in position but not in direction (pinned).
i)
Given that the steel has a design strength of 275 MN/m², determine
the load factor for the structural member based upon the BS5950
design approach using Datasheet Q.5(b).
[11]
ii)
Determine the axial load that can be supported by the column
using the Rankine-Gordon formula, given that the yield strength of
the material is 280 MN/m² and the constant *a* is 1/30000.
[6]
300
600
2-300 mm
wide x 5 mm
thick plates.
Figure Q.5(b)
L=5.75m
Pinned
Fixed
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Chapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 3 - Because the pressure falls, water boils at a lower...Ch. 3 - Ear popping is an unpleasant phenomenon sometimes...Ch. 3 - When you are on a mountain face and boil water,...Ch. 3 - Your pressure gauge indicates that the pressure in...Ch. 3 - A 125-mL cube of solid oak is held submerged by a...Ch. 3 - The tube shown is filled with mercury at 20C....Ch. 3 - Calculate the absolute and gage pressure in an...Ch. 3 - An open vessel contains carbon tetrachloride to a...Ch. 3 - A hollow metal cube with sides 100 mm floats at...Ch. 3 - Compressed nitrogen (140 lbm) is stored in a...
Ch. 3 - If at the surface of a liquid the specific weight...Ch. 3 - In the deep ocean the compressibility of seawater...Ch. 3 - Assuming the bulk modulus is constant for sea...Ch. 3 - An inverted cylindrical container is lowered...Ch. 3 - A water tank filled with water to a depth of 16 ft...Ch. 3 - A partitioned tank as shown contains water and...Ch. 3 - Consider the two-fluid manometer shown. Calculate...Ch. 3 - The manometer shown contains water and kerosene....Ch. 3 - Determine the gage pressure in kPa at point a, if...Ch. 3 - With the manometer reading as shown, calculate px....Ch. 3 - Calculate px py for this inverted U-tube...Ch. 3 - An inclined gauge having a tube of 3-mm bore, laid...Ch. 3 - Water flows downward along a pipe that is inclined...Ch. 3 - A reservoir manometer has vertical tubes of...Ch. 3 - A rectangular tank, open to the atmosphere, is...Ch. 3 - The sketch shows a sectional view through a...Ch. 3 - The manometer reading is 6 in. when the funnel is...Ch. 3 - A reservoir manometer is calibrated for use with a...Ch. 3 - The inclined-tube manometer shown has D = 96 mm...Ch. 3 - The inclined-tube manometer shown has D = 76 mm...Ch. 3 - A barometer accidentally contains 6.5 inches of...Ch. 3 - A water column stands 50 mm high in a 2.5-mm...Ch. 3 - Consider a small-diameter open-ended tube inserted...Ch. 3 - Compare the height due to capillary action of...Ch. 3 - If atmospheric pressure at the ground is 101.3 kPa...Ch. 3 - If the temperature in the atmosphere is assumed to...Ch. 3 - A hydropneumatic elevator consists of a...Ch. 3 - Semicircular plane gate AB is hinged along B and...Ch. 3 - A circular gate 3 m in diameter has its center 2.5...Ch. 3 - For the situation shown, find the air pressure in...Ch. 3 - What is the pressure at A? Draw a free body...Ch. 3 - A plane gate of uniform thickness holds back a...Ch. 3 - A rectangular gate (width w = 2 m) is hinged as...Ch. 3 - Gates in the Poe Lock at Sault Ste. Marie,...Ch. 3 - Calculate the minimum force P necessary to hold a...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - A window in the shape of an isosceles triangle and...Ch. 3 - A large open tank contains water and is connected...Ch. 3 - The circular access port in the side of a water...Ch. 3 - The gate AOC shown is 6 ft wide and is hinged...Ch. 3 - The gate shown is hinged at H. The gate is 3 m...Ch. 3 - For the dam shown, what is the vertical force of...Ch. 3 - The parabolic gate shown is 2 m wide and pivoted...Ch. 3 - An open tank is filled with water to the depth...Ch. 3 - A dam is to be constructed using the cross-section...Ch. 3 - The quarter cylinder AB is 10 ft long. Calculate...Ch. 3 - Calculate the magnitude, direction (horizontal and...Ch. 3 - A hemispherical shell 1.2 m in diameter is...Ch. 3 - A cylindrical weir has a diameter of 3 m and a...Ch. 3 - If you throw an anchor out of your canoe but the...Ch. 3 - A hydrometer is a specific gravity indicator, the...Ch. 3 - A cylindrical can 76 mm in diameter and 152 mm...Ch. 3 - If the 10-ft-long box is floating on the oil-water...Ch. 3 - The timber weighs 40 lb/ft3 and is held in a...Ch. 3 - Find the specific weight of the sphere shown if...Ch. 3 - The fat-to-muscle ratio of a person may be...Ch. 3 - An open tank is filled to the top with water. A...Ch. 3 - If the timber weighs 670 N, calculate its angle of...Ch. 3 - The barge shown weighs 40 tons and carries a cargo...Ch. 3 - Quantify the experiment performed by Archimedes to...Ch. 3 - Hot-air ballooning is a popular sport. According...Ch. 3 - It is desired to use a hot air balloon with a...Ch. 3 - The opening in the bottom of the tank is square...Ch. 3 - A balloon has a weight (including crew but not...Ch. 3 - A helium balloon is to lift a payload to an...Ch. 3 - The stem of a glass hydrometer used to measure...Ch. 3 - A sphere of radius R is partially immersed to...Ch. 3 - A sphere of 1-in.-radius made from material of...Ch. 3 - You are in the Bermuda Triangle when you see a...Ch. 3 - Three steel balls (each about half an inch in...Ch. 3 - A proposed ocean salvage scheme involves pumping...
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