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kakasveta [241]
4 years ago
13

Electrical strain gauges were applied to a notched specimen to determine the stresses in the notch. The results were εx=0.0019 a

nd εy=0.00072. Find σx and σy if the material is made of carbon steel where E=200GPa, Sy=360 MPa.
Engineering
1 answer:
pickupchik [31]4 years ago
6 0

Answer:

\sigma_x=451.8MPa

\sigma_y=265.99MPa

Explanation:

\varepsilon _x=0.0019

\varepsilon _y=0.00072

Poission's ratio for steel =0.28

We know that

\varepsilon _x=\dfrac{\sigma _x}{E}-\mu\dfrac{\sigma _x}{E}

\varepsilon _y=\dfrac{\sigma _y}{E}-\mu\dfrac{\sigma _x}{E}

Now by putting the values

0.0019=\dfrac{\sigma _x}{200\times 1000}-0.28\dfrac{\sigma _y}{200\times 1000}

0.00072=\dfrac{\sigma _y}{200\times 1000}-0.28\dfrac{\sigma _x}{200\times 1000}

So \sigma_x=451.8MPa

\sigma_y=265.99MPa

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Answer:

The solution code is written in Python.

  1. def largest3(num1, num2, num3):
  2.    largest = num1
  3.    if(largest < num2):
  4.        largest = num2
  5.    
  6.    if(largest < num3):
  7.        largest = num3
  8.    
  9.    return largest
  10. first_num = int(input("Enter first number: "))
  11. second_num = int(input("Enter second number: "))
  12. third_num = int(input("Enter third number: "))
  13. largest_number = largest3(first_num, second_num, third_num)
  14. print("The largest number is " + str(largest_number))

Explanation:

<u>Create function largest3</u>

  • Firstly, we can create a function <em>largest3 </em>which take 3 numbers (<em>num1, num2, num3</em>) as input. (Line 1).
  • Please note Python uses keyword <em>def </em>to denote a function. The code from Line 2 - 10 are function body of <em>largest3</em>.
  • Within the function body, create a variable,<em> largest</em>, to store the largest number. In the first beginning, just tentatively assign<em> num1 </em>to<em> largest</em>. (Line 2)
  • Next, proceed to check if the current "<em>largest</em>" value smaller than the<em> num2 </em>(Line 4). If so, replace the original value of largest variable with <em>num2</em> (Line 5).
  • Repeat the similar comparison procedure to<em> </em><em>num3</em> (Line 7-8)
  • At the end, return the final value of "<em>largest</em>" as output

<u>Get User Input</u>

  • Prompt use input for three numbers (Line 13 -15) using Python built-in <em>input</em> function.
  • Please note the input parts of codes is done outside of the function <em>largest3</em>.

<u>Call function to get largest number and display</u>

  • We can simply call the function<em> largest </em>by writing the function name <em>largest</em> and passing the three user input into the parenthesis as arguments. (Line 17)
  • The function <em>largest </em>will operate on the three arguments and return the output to the variable <em>largest_number</em>.
  • Lastly, print the output using Python built-in <em>print</em> function. (Line 18)
  • Please note the output parts of codes is also done outside of the function<em> largest3</em>.
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