A cylindrical bar of metal having a diameter of 20.5 mm and a length of 201 mm is deformed elastically in tension with a force of 46300 N. Given that the elastic modulus and Poisson's ratio of the metal are 60.5 GPa and 0.33, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.

Answers

Answer 1

Answer:

a) The amount by which this specimen will elongate in the direction of the applied stress is 0.466 mm

b) The change in diameter of the specimen is  - 0.015 mm

Explanation:

Given the data  in the question;

(a) The amount by which this specimen will elongate in the direction of the applied stress.

First we find the area of the cross section of the specimen

A = [tex]\frac{\pi }{4}[/tex] d²

our given diameter is 20.5 mm so we substitute

A = [tex]\frac{\pi }{4}[/tex] ( 20.5 mm )²

A = 330.06 mm²

Next, we find the change in length of the specimen using young's modulus formula

E = σ/∈

E = P/A × L/ΔL

ΔL = PL/AE

P is force ( 46300 N), L is length ( 201 mm ), A is area ( 330.06 mm² ) and E is  elastic modulus (60.5 GPa) = 60.5 × 10⁹ N/m² = 60500 N/mm²

so we substitute

ΔL = (46300 N × 201 mm) / ( 330.06 mm² × 60500 N/mm² )

ΔL =  0.466 mm

Therefore, The amount by which this specimen will elongate in the direction of the applied stress is 0.466 mm

(b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.

Using the following relation for Poisson ratio

μ = -  Δd/d / ΔL/L

given that Poisson's ratio of the metal is 0.33

so we substitute

0.33 = -  Δd/20.5 / 0.466/201

0.33 = -  Δd201 / 20.5 × 0.466

0.33 = - Δd201  / 9.143

0.33 × 9.143 =  - Δd201

3.01719 = -Δd201

Δd = 3.01719 / - 201

Δd  = - 0.015 mm

Therefore, The change in diameter of the specimen is  - 0.015 mm


Related Questions

The first order, reversible reaction A<--> B + 2C is taking place in the membrane reactor. Pure A enters and B diffuses through the reactor. Unfortunately, some of the reactant A also diffuses through the membrane.

A. Plot and analyze the flow rates of A, B and C down the reactor, as well as the flow rates of A and B through the membrane.

B. Compare the conversion profiles of a conventional PFR with those of a membrane reactor. What generalizations can you make?

C. Would the conversion of A be greater or smaller if C were diffusing instead of B?

D. Discuss qualitatively how your curves would change if the temperature were increased significantly or decreased significantly for an exothermic reaction. Repeat for an endothermic reaction.

Additional Info:

k= 10min-1

KC=0.01mol2/dm6

kCA=1min-1

kCB=40min-1

FA0=100mol/min

v0 = 100dm3/min

VReactor=20dm3

Please note that this problem only needs you to set up the system of equations, supporting equations, parameters and B.C's for ODE or equivalent solver.

Answers

The answer is I need the points sorry

Outline the course of study Brent might follow in high school if he is interested in earning an engineering degree in college.

Answers

Answer:

Science, Technology, Engineering and Mathematics courses

Explanation:

The background and foundational prerequisite and knowledge required to traverse through college education is being acquired at high school. Most of the what is going to be needed based on one's aspiring career or course of choice would have been introduced to students. This is why it is important to prepare ahead in other to keep focus.

For the pursuit of an engineering degree in college, this falls under the Science, Technology, Engineering and Mathematics curriculum. Hence, courses relating to science, technology and engineering and mathematics curriculum.

What is manufacturing machining ?

Answers

Machining is a process in which a metal is cut into a desired final shape and size by a controlled material-removal process. Machining is a part of the manufacture of many metal products, but it can also be used on materials such as wood, plastic, ceramic, and composites.

Answer:

Machining is a process in which a metal is cut into a desired final shape and size by a controlled material-removal

13
Select the correct answer.
What is it called when you have another person with you for safety?
ОА. .
Friend
ОВ.
Buddy System
OC. Shadow System
OD. Chaperone
Reset
Next

Answers

Answer:

Chaperone

and what's reset and next for?

Answer:

That would be a chaperone.

Design a column to support a factored axial load of 1950kN. The column has an effective length of 6m
with respect to y-axis and 4m with respect to x-axis?

Answers

Answer: eccentricity of loading with respect to the centroid. - Member out-of ... columns. Figure 1. Buckling of axially loaded compression members. • The critical ... Effective length for minor (y) axis buckling = Ky Ly = 1.0 x 20 = 20 ft. = 240 in. Step III. ... Column AB has a design factor load Pu = 450 kips

Explanation:

Do not hoist employees if weather conditions are bad

Answers

Yeah I think but I hope this helps
Shutup give me points

The basic dc-dc converter of Fig. 6-2a has a source of 100 V and a load resistance of 10 ⦠The duty ratio of the switch is D = 0.6, and the switching frequency is 1 kHz. Determine (a) the average voltage across the load, (b) the rms voltage across the load, and (c) the average power absorbed by the load. (d) What would happen if the switching frequency were increased to 2 kHz?

Answers

Answer:

a. 60V

b. 77.46V

c. 600 W

d. there would be no effect when this is done

Explanation:

a.

to get value of average output

Vo = VsD

Vs = 100V

D = 0.6

Vo = 100 V * 0.6

Vo = 60V

Therefore 60V is the value of average voltage

b.

The rms voltage:

= Vs√D

= 100 x √0.6

= 100 x 0.7746

= 77.46V

the rms voltage is Therefore 77.46V

c.

value of average power:

= (RMS)²/R

R = 10

when we put into formula above,

= (77.46)²/10

= 6000.05/10

= 600.005 W

= 600W

d.

If switching frequency is changes to be 2khz it would actually have no effect on the average voltage, average power or rms voltage.

design process 8 steps with definition​

Answers

Answer:

Step 1: Define the Problem.  

Step 2: Do Background Research. .

Step 3: Specify Requirements. .

Step 4: Brainstorm, Evaluate and Choose Solution.  

Step 5: Develop and Prototype Solution.  

Step 6: Test Solution.

Step 7: Does Your Solution Meet the Requirements?  

Step 8: Communicate Results.

can u tell me the definition tho?

palled correctly as “though” which is an alternate form of “although”) at the end is informal usage. It's better placed before “she seems better today

Recourses needs to provide goods or services are called?

Answers

Factors of Production.

Answer:

Resources needed to provide goods or services are called factors of production

Explanation:

Further Explanation:

Factors of reproduction  

Factors of reproduction are inputs or resources that are used in the generation of goods and services with an aim of making profit.

There are four main factors of production which include;

Land  

Labor  

Capital  

Entrepreneurship  

Land  

This refers to all the natural resources that are available to be used in the production of goods.

These natural resources includes raw materials from the ground, non-renewable resources such as petroleum and renewable resources such as timber.

The income or reward earned from land as a factor of production is rent.

Labor  

This refers to the manpower or work done by human beings.

The value of labor depends on the skills, education and motivation of workers.  

The reward for labor as a factor of production is wages and salaries.

Capital  

This refers to the capital goods, that is, man-made objects that are used for production of goods and services such as machinery, equipment and chemicals.

They also include industries and commercial buildings.

The reward or income earned from capital goods is interest  

Entrepreneurship  

It involves coming up with an idea and developing it into profitable business.

An entrepreneur is therefore an individual who combines the other factors of production to build a business and add the supply in the economy.

The reward or income earned by entrepreneurs is profit.

Keywords: Factors of production, labor, land, capital  

Learn more about

Factors of reproduction: brainly.com/question/4335697

Reward for factors of reproduction: brainly.com/question/3884238

Capital goods: brainly.com/question/11672036

Consumer goods: brainly.com/question/3227054

Level: High school  

Subject: Business  

Topic: Factors of reproduction  

The in-situ dry density of a sand is 1.72Mg/m3. The maximum and minimum drydensities, determined by standard laboratory tests, are 1.81 and 1.54 Mg/m3,respectively. Determine the relative density of the sand and soil description based on its density.

Answers

Answer:

Relative density = 0.7 or 70%

Explanation:

The following information was provided by this question

Pd = 1.72mg/mg³

Pd max = 1.81 mg/mg³

Pd min = 1.54 mg/mg³

We substitute into the formula. This formula is contained in the attachment.

[(1/1.54)-(1/1.72)]/[1/1.54 - 1/1.81]

= 0.649350 - 0.581395 / 0.649350 - 0.552486

= 0.067955/0.096864

= 0.7015

= 0.7

The relative density is Therefore 0.7 or 70% when converted to percentage

In manufacturing a particular set of motor shafts, only shaft diameters of between 38.20 and 37.50 mm are usable. If the process mean is found to be 37.80 mm with a standard deviation of 0.20 mm, what percentage of the population of manufactured shafts are usable?

Answers

Answer:

we can conclude that  91.04% population of shafts are usable

Explanation:

Given that;

X[tex]_{min}[/tex] = 37.50 mm

X[tex]_{max}[/tex] = 38.20 mm

mean μ = 37.80

standard deviation σ = 0.20 mm

This problem is based on normal probability distribution so, to get the probability, we must calculate; z = x-μ / σ

so;

Z[tex]_{min}[/tex] = (X[tex]_{min}[/tex] - μ) / μ = (37.50 - 37.80) / 0.20 =  -1.5

Z[tex]_{max}[/tex] = (X[tex]_{max}[/tex] - μ) / μ = (38.20 - 37.80) / 0.20 =  2

Hence;

P( 37.50 < X < 38.20 ) = P( -1.5 < Z < 2 )

P( 37.50 < X < 38.20 ) = P( 0 < Z < 1.5 ) + P( 0 < Z < 2 )

from the standard normal table table;

P( 37.50 < X < 38.20 ) = 0.4332 + 0.4772

P( 37.50 < X < 38.20 ) = 0.9104 = 91.40%

Hence, we can conclude that  91.04% population of shafts are usable

Select three types of variables scientists use in experiments.

control
dependent
evaluative
functional
independent
analytical

Answers

Evaluative, functional. Analytical (sorry if this us wrong)

Answer:

dependent    functional     analytical

Explanation:

2. Why is pitch important to passenger comfort?​

Answers

One of the most important factors influencing aircraft seating comfort in economy class, is legroom. In an airline interior mock up, with the ability to adjust the seat pitch in a range of 28 inches to 43 inches, a study to investigate the influence of seat pitch on passengers’ well-being was conducted.

What type of system is used by a steam engine?
A steam engine uses fuel to heat water into steam which drives a turbine, thus converting heat into mechanical energy. The steam engine is a type of ______
system.

Answers

Answer:

Steampunk Mechanical

Explanation:

Your welcome

Define the term 'Computer​

Answers

Answer:

An electronic devices for storing and processing data, typically and binary form according to the instructions given.

Computer's “brain” is the (CPU), often known as the processor. When your computer runs programs or applications, the CPU handles all the complex algorithms and programming.

What best define about term Computer?

A computer is a device that processes data that has been digitally altered in accordance with a set of guidelines laid out in a program, piece of software, or set of instructions.

In businesses, computers are typically used to run projects, check inventory levels, manage and maintain accounts and personal data, and generate presentations. In addition, computers are more accurate and speedier than people, making them better suited for transaction processing.

Therefore, An electronic device that stores and processes data, typically in binary form and in accordance with commands.

Learn more about Computer here:

https://brainly.com/question/21080395

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Which statement about the seal between the respirator and the wearer's face is true?
POSSIBLE ANSWERS:
Negative pressure respirators prevent ambient air from entering the mask.
Cosmetic surgery can be completed without a re-evaluation of respirator fit.
Positive pressure respirators tighten the face mask when the wearer inhales.
Facial hair can prevent a respirator from properly sealing to the wearer’s face.

Answers

A true statement about the seal between the respirator and the wearer's face is: D. facial hair can prevent a respirator from properly sealing to the wearer’s face.

What is a respirator?

A respirator can be defined as a personal protective equipment that is typically worn over the face to protect the mouth and nose, while protecting the wearer from inhaling smoke, dust, or other toxic chemical substances.

In this context, a true statement about the seal between the respirator and the wearer's face is that facial hair has the ability to prevent a respirator from properly sealing to the wearer’s face.

Read more on protective equipment here: https://brainly.com/question/19131588

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Into which of the six kingdoms should the organism be placed? Construct a response to state your claim, use evidence, and support with reasoning. Include the list of common characteristics of the kingdom and why it does not belong in the other kingdoms in your justification.

Answers

Answer: The organism is an amoeba belonging to the protist kingdom.

Explanation: The organism cannot be placed in the plantae kingdom because the organism does not contain a cell wall or chloroplasts. The organism also cannot be bacteria or Archaebacteria because it has a nucleus. The organism cannot belong to the fungi or animalia kingdom because it contains psedupodium.

A___ remote control can be an advantage to an
operator who is welding close to the power source.

•wireless
•corded
•cable technology
•none of these

Answers

Answer:

Wireless

Explanation:

A wireless remote control can be an advantage to an operator who is welding close to the power source. Hence, option A is correct.

What is wireless remote control?

An electrical device used to wirelessly and remotely operate another device is a remote control, often known as a remote or clicker. Consumer gadgets, such as television sets, DVD players, and other home appliances, can be controlled by a remote control.

In the current electronic market, remote control systems fall into three primary categories: IR-based systems, RD-based systems, and BT-based systems. the receiver and the remote must be lined up exactly for infrared, also known as IR.

IR, on the other hand, is unable to pass through a number of materials but can operate over a much wider spectrum. This allows the user far greater freedom and control in environments with challenging terrain and obstacles.

Thus, option A is correct.

For more information about wireless remote control, click here:

https://brainly.com/question/29106857

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Can we live without software?

Answers

No, because you are using it right now.

Yes, because software is not the most improtant thing in our life.

Please help ASAP!! I’m taking the test right now!!!

Ronny wants to produce a metal sheet through which a shaft can pass. Which process will he use?

A) grinding
B) reaming
C) turning
D) milling
E) chipping

Answers

Answer:

B) reaming | yes it is B) reaming



Ronny wants to produce a metal sheet through which a shaft can pass. Which process will he use?


B) reaming

Hallucinogens, or psychedelics, are drugs that alter the senses.
True
False

Answers

Answer:

True

Explanation:

a example of a psychedelic drug is acid  

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