1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weeeeeb [17]
3 years ago
13

Practice Problem: True Stress and Strain A cylindrical specimen of a metal alloy 49.9 mm long and 9.72 mm in diameter is stresse

d in tension. A true stress of 376 MPa causes the specimen to plastically elongate to a length of 53.5 mm. If it is known that the strain-hardening exponent for this alloy is 0.1, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 49.9 mm to a length of 58.2 mm.
Engineering
1 answer:
Valentin [98]3 years ago
5 0

Answer:

The true stress required = 407 MPa

Explanation:

True Stress is the ratio of the internal resistive force to the instantaneous cross-sectional area of the specimen. True Strain is the natural log to the extended length after which load applied to the original length. The cold working stress – strain curve relation is as follows,

σ(t) = K (ε(t))ⁿ, σ(t) is the true stress, ε(t) is the true strain, K is the strength coefficient and n is the strain hardening exponent

True strain is given  by

Epsilon t =㏑ (l/l₀)

Substitute㏑(l/l₀) for ε(t)

σ(t) = K(㏑(l/l₀))ⁿ

Given values l₀ = 49.9mm, l =53.5mm , n =0.1 , σ(t) =376Mpa

376 x 10⁶ = K (㏑(53.5/49.9))^0.1

K = 376 x 10⁶/(㏑(53.5/49.9))^0.1

K = 490.78 MPa

Knowing the constant value would be same as the same material is being used in the second test, we can find out the true stress using the above formula replacing the value of the constant.

σ(t) = K(㏑(l/l₀))ⁿ

l₀ = 49.9mm, l = 58.2mm, n = 0.1, K = 490.78Mpa

σ(t) = 490.78 x 10⁶ x (㏑(58.2/49.9))^0.1

σ(t) = 407 MPa

The true stress necessary to plastically elongate the specimen is 407 MPa.

You might be interested in
Write a program that uses a function called Output_Array_Info. Output_Array_Info Properties: Input Parameters: 1. A pointer to a
Artyom0805 [142]

Answer:

C++ code explained below

Explanation:

Please note the below program has been tested on ubuntu 16.04 system and compiled using g++ compiler. This code will also work on other IDE's

-----------------------------------------------------------------------------------------------------------------------------------

Program:

-----------------------------------------------------------------------------------------------------------------------------------

//header files

#include<iostream>

//namespace

using namespace std;

//function defintion

void Output_Array_Info(int *array_ptr, int size)

{

//display all array elements

cout<<"Array elements are: "<<endl;

for(int i =0; i<size; i++)

{

cout<<*(array_ptr+i)<<endl;

}

//display address of each element

cout<<endl<<"memory address of each array elemnt is: "<<endl;

for(int i =0; i<size; i++)

{

cout<<array_ptr+i<<endl;

}

}

//start of main function

int main()

{

//pointer variables

int *pointer;

//an array

int numbers[] = { 5, 7, 9, 10, 12};

//pointer pointing to array

pointer = numbers;

//calculate the size of the array

int size = sizeof(numbers)/sizeof(int);

//call to function

Output_Array_Info(numbers, size);

return 0;

}

//end of the main program

8 0
3 years ago
What oil specification is used to express the thickness (viscosity) of the oil?​
Marianna [84]

Answer:

Viscosity is notated using the common classification “XW-XX”. The number preceding the “W” (winter) rates the oil's flow (viscosity) at zero degrees Fahrenheit (-17.8 degrees Celsius). The lower the number, the less the oil thickens in cold weather.

7 0
3 years ago
I'm supposed to make an accurate 1/4"=1' floor plan. How do you do that?
seropon [69]
Using the measuring tool
8 0
3 years ago
Read 2 more answers
Based on experimental observations, the acceleration of a particle is defined by the relationa = -( 0.1 + sin(x/b) ),where a and
yKpoI14uk [10]

Answer:

a) v = +/- 0.323 m/s

b) x = -0.080134 m

c) v = +/- 1.004 m/s

Explanation:

Given:

                             a = - (0.1 + sin(x/b))

b = 0.8

v = 1 m/s @ x = 0

Find:

(a) the velocity of the particle when x = -1 m

(b) the position where the velocity is maximum

(c) the maximum velocity.

Solution:

- We will compute the velocity by integrating a by dt.

                           a = v*dv / dx =  - (0.1 + sin(x/0.8))

- Separate variables:

                           v*dv = - (0.1 + sin(x/0.8)) . dx

-Integrate from v = 1 m/s @ x = 0:

                          0.5(v^2) = - (0.1x - 0.8cos(x/0.8)) - 0.8 + 0.5

                          0.5v^2 =  0.8cos(x/0.8) - 0.1x - 0.3

- Evaluate @ x = -1

                          0.5v^2 = 0.8 cos(-1/0.8) + 0.1 -0.3

                          v = sqrt (0.104516)

                          v = +/- 0.323 m/s

- v = v_max when a = 0:

                           -0.1 = sin(x/0.8)

                             x = -0.8*0.1002

                             x = -0.080134 m

- Hence,

                            v^2 = 1.6 cos(-0.080134/0.8) -0.6 -0.2*-0.080134

                            v = sqrt (0.504)

                            v = +/- 1.004 m/s

4 0
3 years ago
Find the True statement
dmitriy555 [2]

Answer:

Option A is correct ( Stress relaxation is time- and temperature-dependent).

Explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Which type of door consists of thin pieces of wood, glass, or louvers placed within a framed rectangular area?
    7·2 answers
  • Magnesium sulfate has a number of uses, some of which are related to the ability of the anhydrate form to remove water from air
    15·1 answer
  • Three tool materials (high-speed steel, cemented carbide, and ceramic) are to be compared for the same turning operation on a ba
    10·1 answer
  • Local technology is foundation for modern technology? justufy this statement with example.​
    12·1 answer
  • Write a program that asks the user for the name of a file. The program should display the number of words that the file contains
    7·1 answer
  • All welding processes that take place without melting of the work pieces. a)- True b)-False
    15·1 answer
  • Quinn’s relatives relayed a story about putting on a headset and seeing a digital world that they could walk around in and explo
    8·2 answers
  • Need help please????????!!!!!!
    5·1 answer
  • What is the focus of 7th grade civics
    8·2 answers
  • thanh thẳng AD có kích thước và chịu lực như hình.biết P1 = 10kn, p2=5kn,M=15kn*m,a=2m.Hãy xách định phản lực liên kết tại A,b
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!