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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Textbook Question
Chapter 9, Problem 9.17P
Compute the total elongation of a steel bar, originally 25 in. long, if the induced tensile stress is 15,000 psi.
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Students have asked these similar questions
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
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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