Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 9, Problem 9.55SP
A hook is suspended by two steel wires, as shown. The wires are
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4. An impeller rotating at 1150 rpm has the following data: b, = 1 ¼ in., b2 = ¾ in., d, = 7 in., d2 =
15 in., B1 = 18", B2 = 20°, cross-sectional area A = Db if vane thickness is neglected. Assuming radial inlet flow, determine the theoretical
capacity in gpm
head in ft
horsepower
5. If the impeller in Problem (4) develops an actual head of 82 ft and delivers 850 gpm at the point of maximum efficiency and requires 22 BHP. Determine
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
Please show all work step by step
Chapter 9 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 9 - Write the direct stress formula in its three forms...Ch. 9 - A 6-in-diameter concrete test cylinder is loaded...Ch. 9 - Determine the tensile stress in each segment of...Ch. 9 - Calculate the stress developed in the following...Ch. 9 - The following members are subjected to axial...Ch. 9 - Determine the stresses in the two segments of the...Ch. 9 - A bin weighing 8 tons is supported by three steel...Ch. 9 - Diameters of small commercially available steel...Ch. 9 - A No. 32 (metric designation) reinforcing bar for...Ch. 9 - In the bolted connection of Figure 9.12 , assume...
Ch. 9 - Compute the force required to punch a...Ch. 9 - The 34 — in. — diameter bolt shown is subjected to...Ch. 9 - Why is strain unitless (or dimensionless)?Ch. 9 - (a) Given =1.2in. and L=100ft calculate (b) Given...Ch. 9 - A short compression member 2 in. by 2 in. in cross...Ch. 9 - A 100-ft-long rod is suspended from one end. The...Ch. 9 - Compute the total elongation of a steel bar,...Ch. 9 - A steel rod 34 in. in diameter and 25 ft long is...Ch. 9 - An aluminum rod 25mm in diameter and 4m long is...Ch. 9 - A steel rod 10 ft long is made up of two 5 ft...Ch. 9 - A titanium alloy bar elongates 0.500 in. when...Ch. 9 - Write a program that will calculate the allowable...Ch. 9 - Write a program that will compute stress, strain,...Ch. 9 - The Viking Bin Company manufactures suspended bins...Ch. 9 - Write a computer program that will calculate the...Ch. 9 - The joint between a diagonal and a chord in a...Ch. 9 - In Problem 9.26, find the required length of the...Ch. 9 - A column is supported by a base plate, pedestal,...Ch. 9 - If the soil pressure under the footing of Problem...Ch. 9 - A hopper weighing 75 kN is supported by three...Ch. 9 - A steel bar has a rectangular cross section 25 mm...Ch. 9 - A steel wire is suspended vertically from its...Ch. 9 - A W1240 shape is subjected to a tensile load of...Ch. 9 - Calculate the required diameter of steel tie rods...Ch. 9 - A 30-ft-long steel rod of circular cross section...Ch. 9 - Consider the bolted lap joint shown in Figure...Ch. 9 - An inclined member is braced with a glued block,...Ch. 9 - Calculate the force a punch press must exert if it...Ch. 9 - A 34 - in. - diameter punch is used to punch a...Ch. 9 - A control arm is keyed to a 1-in. -diameter shaft...Ch. 9 - Calculate the required width b for the key of...Ch. 9 - A 25-mm-diameter aluminum rod, 3 m long, is...Ch. 9 - A short timber post of Douglas fir is subjected to...Ch. 9 - A 1 00-ft surveyor’s steel tape with a...Ch. 9 - An 18-in-long steel rod is subjected to a tensile...Ch. 9 - Compute the magnitude of the tensile load that...Ch. 9 - A 5-mm-diameter steel wire, 18 m in length, is...Ch. 9 - A structural steel rod 112 in. in diameter and 20...Ch. 9 - A rectangular structural steel eyebar 34 in. thick...Ch. 9 - 9.50 A
in. — diameter steel rod, 100 ft long, is...Ch. 9 - For the truss shown, compute the total deformation...Ch. 9 - A steel bar with a cross section of 12 in. by 12...Ch. 9 - Rework Problem 9.52 , changing the second load...Ch. 9 - In the structure shown, the tie-back BC is a round...Ch. 9 - A hook is suspended by two steel wires, as shown....Ch. 9 - The trolley of a small hoist is supported on a...Ch. 9 - The steel piston rod to the master cylinder has a...Ch. 9 - A stranded steel brake cable is composed of 7...Ch. 9 - The piston of a steam engine is 400 mm in diameter...
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