Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 2CC
The mass of the human brain is 1360 grams [g]. State the weight of the human brain in units of newtons (N) on the Earth.
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
Chapter 8 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 8.1 - The engine on a spacecraft nearing Mars can...Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.3 - Convert 50 grams per cubic centimeter [g/cm3] into...Ch. 8.3 - A 75-gram [g] cylindrical rod is measured to be 10...Ch. 8.4 - Determine the mass in units of grams of 0.025...Ch. 8.4 - Determine the amount in units of moles [mol] of 5...Ch. 8.5 - The temperature of dry ice is 109.3 degrees...Ch. 8.5 - The specific heat capacity of copper is 0.09...Ch. 8.6 - If the pressure is 250 feet of water [ft H2O],...
Ch. 8.6 - A car tire is inflated to a gauge pressure of 35...Ch. 8.6 - An object is completely submerged in a liquid with...Ch. 8.7 - A 5-gallon [gal] container holds 35 grams [g] of...Ch. 8.7 - An 8-liter [L] container holds nitrogen (formula:...Ch. 8.8 - You push an automobile with a constant force of 20...Ch. 8.8 - One gram of material A is heated until the...Ch. 8.9 - A motor with a power of 100 watts [W] is connected...Ch. 8.10 - A motor with an input power of 100 watts [W] is...Ch. 8.10 - If a 50-kilogram [kg] load was raised 5 meters [m]...Ch. 8.11 - The current through a 12 kilo-ohms [k] resistor is...Ch. 8.11 - A device contains a 1000-ohm [] resistor with 120...Ch. 8.11 - A constant current transfers 12 1014 electrons...Ch. 8.11 - A 100-millihenry [mH] inductor has a current...Ch. 8.11 - Express 1LC in terms of base SI units, where L is...Ch. 8 - The space shuttle fleet was designed with two...Ch. 8 - Complete the following table assuming the object...Ch. 8 - Rank the following from largest mass to smallest...Ch. 8 - A typical American football weighs 14.5 ounces...Ch. 8 - The weight of the Hubble Space Telescope (HST) on...Ch. 8 - The value of gravitational acceleration on Earth,...Ch. 8 - Complete the following table: Density Compound...Ch. 8 - If the density of sodium is 98 kilograms per cubic...Ch. 8 - The specific gravity of iodine is 4.927. State the...Ch. 8 - Complete the following table. Assume you have a...Ch. 8 - Complete the following table. Assume you have a...Ch. 8 - Fluid A fills a one-gallon [gal] container and...Ch. 8 - A golden bar of metal (5 centimeters [cm] by 18...Ch. 8 - A lab reports the density of a new element is X...Ch. 8 - You have been hired as an intern for a plastics...Ch. 8 - A submersible robot is exploring one of the...Ch. 8 - Several students calculate the density of a gas,...Ch. 8 - You have been working to develop a new fictitious...Ch. 8 - Determine the mass in units of grams [g] of 0.35...Ch. 8 - A eutectic alloy of two metals contains the...Ch. 8 - Which of the following plastic has the highest...Ch. 8 - The outside air temperature of an airplane...Ch. 8 - The inside of an airplane is kept at 75 degrees...Ch. 8 - The Newton [N] temperature scale was devised by...Ch. 8 - In the Spring of 2004, NASA discovered a new...Ch. 8 - Is there a physical condition at which a...Ch. 8 - Complete the table: atmosphere pascal Inches of...Ch. 8 - If the pressure is 250 feet of water [ft H2O],...Ch. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - Prob. 30ICACh. 8 - If a force of 15 newtons [N] is applied to a...Ch. 8 - You wish to submerge an object in a liquid at sea...Ch. 8 - (a) Determine the maximum volume in gallons [gal]...Ch. 8 - A sensor is submerged in a silo to detect any...Ch. 8 - Complete the table, using the ideal gas law:...Ch. 8 - A 10-liter [L] flask contains 1.3 moles [mol] of...Ch. 8 - An ideal gas in a 1.25-gailon [gal] container is...Ch. 8 - An ideal gas is kept in a 10-liter [L] container...Ch. 8 - Football A is filled with 50 grams [g] of Gas X,...Ch. 8 - Determine the specific gravity of chlorine (Cl2)...Ch. 8 - Complete the table for specific heat conversions:...Ch. 8 - Which of the following requires the expenditure of...Ch. 8 - Which objectA, B, or Chas the most potential...Ch. 8 - Measurements indicate that boat A has twice the...Ch. 8 - A 10-gram [g] rubber ball is released from a...Ch. 8 - If a ball is dropped from a height (H) its...Ch. 8 - Eight hundred kilograms [kg] of paint solvent will...Ch. 8 - We go out to sunbathe on a warm summer day. If we...Ch. 8 - The specific heats of aluminum and iron are 0.214...Ch. 8 - Complete the table for thermal conductivity...Ch. 8 - The thermal conductivity of a plastic is 0.325...Ch. 8 - The heat transfer coefficient of steel is 25 watts...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - When we drive our car at 100 feet per second...Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - A 100-watt [W] motor (60% efficient) is available...Ch. 8 - When boiling water, a hot plate takes an average...Ch. 8 - One problem with solar energy is that any given...Ch. 8 - Prob. 60ICACh. 8 - A resistor is dissipating 125 milliwatts [mW] of...Ch. 8 - An average cloud-to-ground lightning strike...Ch. 8 - Most electric stoves in the United States operate...Ch. 8 - A 3-volt [V] battery delivers a constant current...Ch. 8 - Prob. 65ICACh. 8 - A constant current charges a 20-nanofarad [nF]...Ch. 8 - Prob. 67ICACh. 8 - a. What is the average power, in units of watts...Ch. 8 - The National Football League specifies that all...Ch. 8 - A space probe is built with a mass of 1700...Ch. 8 - A person who has a weight of 165 pound-force [lbf]...Ch. 8 - A person who has a weight of 165 pound-force [lbf]...Ch. 8 - A person who has a weight of 165 pound-force [lbf]...Ch. 8 - The European Space Agency launched a probe called...Ch. 8 - The European Space Agency launched a probe called...Ch. 8 - The European Space Agency launched a probe called...Ch. 8 - The European Space Agency launched a probe called...Ch. 8 - A basketball has a mass of approximately 624 grams...Ch. 8 - A website you discover lists the density of a...Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - A cube of material X, 1 inch [in] on all sides,...Ch. 8 - The density of gasoline is 0.72 grams per cubic...Ch. 8 - The Eco-Marathon is an annual competition...Ch. 8 - Prob. 17RQCh. 8 - Soccer is also called association football. A...Ch. 8 - A rod on the surface of Jupiters moon Callisto has...Ch. 8 - Prob. 20RQCh. 8 - Prob. 21RQCh. 8 - When an object is made of the plastic polyester...Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - We are making a cup of coffee and want the...Ch. 8 - We want to construct a thermometer using mercury....Ch. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - The force on the inside of a cork in a champagne...Ch. 8 - One of the National Academy of Engineering Grand...Ch. 8 - A new gel is being developed to use inside padding...Ch. 8 - A 2-liter [L] soda bottle, made of PET, will fail...Ch. 8 - A storage tank is being designed for iodine. The...Ch. 8 - The specific gravity of honey is 1.43. A...Ch. 8 - NASA is designing a mission to explore Titan, the...Ch. 8 - Airspeed (v) is related to dynamic pressure using...Ch. 8 - When a flowing fluid is stopped, its pressure...Ch. 8 - A 10-liter [L] flask contains 5 moles [mol] of gas...Ch. 8 - A company that produces footballs uses a...Ch. 8 - A 5-liter [L] container holds nitrogen (formula:...Ch. 8 - A typical hot air balloon has a volume of 100,000...Ch. 8 - An ideal gas, kept in a 5-liter [L] container at...Ch. 8 - A container holding 1.5 moles [mol] of oxygen...Ch. 8 - A spacecraft is equipped with nine sensors,...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - On February 15, 2013, Asteroid 2012 DA14 passed...Ch. 8 - If a 10-kilogram [kg] rotating solid cylinder...Ch. 8 - If a ball is dropped from a height its velocity...Ch. 8 - A bail is thrown vertically into the air with an...Ch. 8 - The maximum radius (R) a falling liquid drop can...Ch. 8 - A heat recovery system (HRS) is used to conserve...Ch. 8 - At noon on a clear day in midsummer, a cylindrical...Ch. 8 - In a factory, various metal cylinders are forged...Ch. 8 - A 3-kilogram [kg] projectile traveling at 100...Ch. 8 - Plutonium isotopes undergo decay, producing heat....Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - When gasoline is burned in the cylinder of an...Ch. 8 - A spacecraft utilized Earths gravity and...Ch. 8 - A spacecraft is fueled using hydrazine (N2H4;...Ch. 8 - A 100-watt [W] motor (60% efficient) is used to...Ch. 8 - You need to purchase a motor to supply 400 joules...Ch. 8 - The Curiosity rover landed oil Mars on August 6,...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Consider the following strange, but true, unit: 1...Ch. 8 - When boiling water a hot plate takes an average of...Ch. 8 - Prob. 65RQCh. 8 - The power available from a wind turbine is...Ch. 8 - The computer system on the Indian Mars Orbiter...Ch. 8 - Prob. 68RQCh. 8 - Prob. 69RQCh. 8 - A 10,000-microfarad [F] capacitor is charged to 25...Ch. 8 - A 250,000-microfarad [F] capacitor is used to keep...Ch. 8 - A 250-kilo-ohm [k] resistor and a 0.2-microfarad...Ch. 8 - A 0.05-microfarad [F] capacitor discharges through...Ch. 8 - A variable capacitor has a range from 100...Ch. 8 - A constant voltage of 5 volts [V] is applied...Ch. 8 - A 20-millihenry [mH] inductor, a 0.5-mtcrofarad...
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