In engineering, the modulus of elasticity is a way to measure how much an object deforms along an axis when opposing forces are applied among that axis. The formula can be expressed as E=(F2−F1)L0(δ2−δ1)A , where E is the modulus of elasticity, F is the axial force, δ is a deformation measure, L0 is the original length of the object, and A is the cross-sectional area.

Answers

Answer 1

Step-by-step explanation:

Consider an engineering material of initial length Lo, Area (A), Modulus of elasticity (E) and applied a force P due to which change in the length of the material is δ2 from it’s original length (Lo)

Initial length of the material is Lo. Hence, at time t = 0 when no force applied on the material the length of the material will not change (i.e., at time t=0, δ1 = 0)

Modulus of elasticity of the material:

[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

Area of the material:

[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

[tex]A=\frac{P \cdot L_{o}}{E\left[\delta_{2}-\delta_{1}\right]}[/tex]

Length of the material:

[tex]E=\frac{P \cdot L_{0}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

[tex]L_{0}=\frac{E \cdot A\left[\delta_{2}-\delta_{1}\right]}{P}[/tex]


Related Questions

SLOPPPPPPPPPPEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

total distance

should be right

please be right

hey if right can i be brainliest

Step-by-step explanation:

Graph the function f(x) = x3 – 10x2 + 28x – 24 Then, write a
written description of the graph that includes all key characteristics below.
- Type of polynomial function and degree
- Domain & Range
- End behavior
- Intervals of Increasing/Decreasing
- Intervals of Positive/Negative
- Turning points (including whether it's a relative max or relative min)
- Zeros and their multiplicity (and the effect of the multiplicity on the graph)

Answers

- Cubic Function | 3-degree

- Domain & Range | Domain and Range both are all set of Real Numbers.

- End Behavior | When x approaches positive infinity, f(x) approaches positive infinity as well. When x approaches negative infinity, f(x) approaches negative infinity too.

- Intervals of Increasing/Decreasing | Increases at (-∞, 2) U (6,∞) and Decreases at (2,14/3) aka 2 < x < 14/3

- Intervals of Positive/Negative

Positive when x > 6 or (6,+∞)

Negative when 2 < x < 6 and x < 2 or (2,6) U (-∞,2)

- Turning Points are (2,0) and (14/3, -256/27)

- Zeros and Multiplicity | Factoring the polynomial as we get (x-2)(x-2)(x-6). Therefore, the zeros are multiplication of 2 and 6.

Multiplicity will affect the graph for x-axis. When the multiplicity kicks in, the graph will turn either decreasing on increasing on x-axis immediately.

Also I was plotting the graph so It might take too long.

Could anybody help me with this i will cashapp you if you get it right

Answers

Answer:

i believe it is the second one id have money apps

Step-by-step explanation:

:)

The tiles below represent the polynomial 2x+ 5x+ 3.
X
X 11 1
XX***
X
X
X
111
X
x
What is the factorization of 2x + 5x + 3?

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

A P E X

The factorization of the polynomial 2x² + 5x + 3 is (2x + 3)(x + 1).

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To factorize 2x² + 5x + 3, we need to find two binomials in the form of (ax + b) and (cx + d) such that their product equals the given expression.

Firstly Multiply the coefficient of the first term (2) by the constant term (3) to get 6.

The two factors of 6 that add up to the coefficient of the middle term (5). In this case, the factors are 2 and 3.

Now Rewrite the middle term using the two factors found in the previous step. We have:

2x² + 2x + 3x + 3

We can factorize the first two terms by taking out 2x as a common factor and the last two terms by taking out 3 as a common factor. We get:

2x(x + 1) + 3(x + 1)

(2x + 3)(x + 1)

Therefore, the factorization of 2x² + 5x + 3 is (2x + 3)(x + 1).

To learn more on Polynomials click:

https://brainly.com/question/11536910

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I need help solving this

Answers

Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

At the shorter waterfall, water falls uninterrupted for 1552 feet before entering the river below. The height h above the river in feet of water going over the edge of the waterfall is modeled by h\left(t\right)=-16t^2+1552h(t)=−16t^2+1552, where is the time in seconds after the initial fall. Estimate the time it takes for the water to reach the river. Round your answer to the nearest tenth.

Answers

Answer:

9.9s

Step-by-step explanation:

First note that the river is on the ground level. The height of the river at the ground level is 0

Given the the height h above the river in feet of water going over the edge of the waterfall is modeled by h(t)=-16t^2+1552

When h = 0

0 = -16t^2+1552

16t^2 = 1552

t² = 1552/16

t² = 97

t = √97

t = 9.9secs

Hence the time it takes is 9.9secs to the nearest tenth

Given m|n, find the value of x.
kt
(x-17)
(5x-1)
>m
please help me

Answers

Answer:  33

=======================================================

Explanation:

The information that m || n is not needed or used, so I'm not sure why your teacher put that in there.

The angles shown are a linear pair. They are adjacent and they are supplementary. They form a straight angle.

Supplementary angles add to 180.

(x-17)+(5x-1) = 180

x-17+5x-1 = 180

(x+5x)+(-17-1) = 180

6x-18 = 180

6x = 180+18

6x = 198

x = 198/6

x = 33

---------

Extra info:

if x = 33, then,

x-17 = 33-17 = 165x-1 = 5*33-1 = 165-1 = 164

Adding the angles gives 16+164 = 180 which helps confirm our answer.

Howie wants to get a $250 loan with a simple interest rate of 4%.

Which expression can be used to find the TOTAL amount that must be repaid on this loan?



1Points
A
250 + 4%

B
250 x 0.04

C
(.04 x 250) + 250

Answers

Answer:

w

Step-by-step explanation:

a

Question down below...

Answers

Answer:

14,500*0.8= 11,600

14,500-11,600= 2,900 it decreased in the first year

Step-by-step explanation:

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Step-by-step explanation:

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpoint

Complete the proof that XY - UZ.
Z
Y
Х
V
U
W

Answers

Yuv I think I am right

Help it’s due 10:20 pls anyone help $!!!

Answers

Answer:

4.3 hours

Step-by-step explanation:

Add all of the fractions to get

7.7

and then simply do

12 - 7.7

Answer:

4.3 hours

Step-by-step explanation:

Plsssssss helpppp meeeee

Answers

Answer:

a

Step-by-step explanation:

Answer:

(give help)

Step-by-step explanation:

(help) ........................

carley beat the school record for the 400 meter race by 1.3 seconds, if she ran the race in 55.7 seconds, what is the record

Answers

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57 seconds

Answer:

57 seconds

Step-by-step explanation:

Simple math

what is 6÷319 step by step​

Answers

6/319 = 0.0188087774

I used a calculator

or, just use long division

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Which expression has a value of −9?

(−12)−3

12−(−3)

(−12)−(−3)

3−(−6)

Answers

The answer is (-12)-(-3)

Sebastian's friend gives him 4 special edition baseball cards to start his own collection.Sebastian then buys 6 new baseball cards for his collection every month.If x is the number of months, what is the linear function, f(x) that represents the total number of baseball cards in sebastians collection as a function of the number of months?

Answers

Answer:

D

Step-by-step explanation:

its 6x + the 4 he gave him

Step-by-step explanation:

find the new balance ​

Answers

Answer:

the answer you have in the box is correct.

Maggie filled the glasses shown below completely with water. The total amount of water that Maggie poured into the glasses is 120 cubic centimeters. What is the height of glass 1? Round your answer to the nearest hundredths. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale. (1 point)

A cylinder with width 5.5 and height unknown is labeled glass 1, and a cone with height 6.8 and width 5.2 is labeled glass 2.
Group of answer choices

4.82 centimeters

3.03 centimeters

7.47 centimeters

5.64 centimeters

Answers

I think the answer is 7.47

the correct answer is 3.03 cm !!!!!!

a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a?

Answers

The area of the second paper sheet of paper is 1/4 less than the other area

Information about the problem:

Sheet of paper figure = rectangleLength = 1/2* L₁Width = 1/2 * W₁

The formula and procedure to solve this geometry exercise is:

A(rectangle) = length * width

A(rectangle) = 1/2 L₁ * 1/2 W₁

A(rectangle) = 1/4 (L₁*W₁)

Hence, the factor of the second sheet of paper less than the first area is 1/4

What is the area?

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

Learn more about area at: brainly.com/question/11957651

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This week, the art museum gave away 1,200 tickets to the Greco exhibit, which was 150 percent as many tickets as it gave away last week. Martin is trying to figure out how many tickets the museum gave away last week. His work is shown below.

Step 1: StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction = StartFraction question mark Over 1200 EndFraction
Step 2: 100 times 12 = 1200
Step 3: 150 times 12 = 1800

In what step did Martin make a mistake, if any?
Step 1: Martin should have written his ratio as StartFraction 1200 Over question mark EndFraction.
Step 2: Martin should have divided 1200 by 8.
Step 3: Martin should have added 1200 and 150.
Martin did not make any mistakes.

Answers

Answer:

Step 1  1200/ i am pretty sure

Step-by-step explanation:

Hope it helpssss :DDD ;)

Answer:

A.)

Step-by-step explanation:

I got it right on the quiz.

7 apples cost $5. How many apples can i buy with $8?

Answers

Answer:

7 Bc ur gonna b to broke to buy some more

Step-by-step explanation:

8-5

Write in standard form.
4.57 x 106

Answers

Answer:

485.42

Step-by-step explanation:

multiply by using` long multiplication

help me fast ..................​

Answers

If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).

in figure

consider triangle ABD and ACDAngle BAD = angle CADAB = ACAngle B = angle Ctriangle ABD congruent to Triangle ACD ( by ASA rule)

I’ll give brainlest to the first person who answers my question correctly.

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

The first one. Y=3/4

Help me pls and explain

Answers

Answer:

A

Step-by-step explanation:

I believe it is A because there is not any repeating X's. There is a repeating y which is 1. Therefore it is A.

Solve for x


(4x - 1) °



(3x - 8)°

Answers

(3x-8) + (4x-1) = 180

7x-9=180

7x=189

x=189/7

x = 27

(3(27)-8) = 73

(4(27)-1) = 107

CHECK

73+107=180, which proves that my answer is correct.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Please help me on this test I’m going to fail I need your help.

Answers

Answer:

No she should not purchase it.

Step-by-step explanation:

because the width that comes out to be is equal to area divided by length

[tex] \frac{46 \times 7}{8} \times \frac{2}{7} = 11.5[/tex]

which comes out to be 11.5 which is greater than 6.

So she should not purchase it

please mark me brainliest and 5 star

Brainliest to the correct answer

Answers

No, x and y do not have a proportional relationship because if we do cross multiplication they are not equal to each other.

SOMEONE PLEASE PLEASE HELP ME WITH THIS I HAVE TO PASS PLEASE PLEASE PLEASEE!!!!

Answers

Answer:

D

Step-by-step explanation:

number of games won over tickets

6 tickets for every game won

Answer:

D

Step-by-step explanation:

If the x-axis has 1 and the y-axis has 6, and it proceeds to go upward 6 on the y-axis each game she's won, so that's saying that she receives 6 tickets for every game she wins.

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