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kiruha [24]
3 years ago
10

Consider a cubic workpiece of rigid perfect plastic material with side length lo. The cube is deformed plastically to the shape

of a rectangular parallelepiped of dimensions l1,l2, and l3. Show that the volume constancy requires that the following expression be satisfied: e1+e2+e3 = 0

Engineering
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:  ε₁+ε₂+ε₃ = 0

Explanation: Considering the initial and final volume to be constant which gives rise to the relation:-

                         l₀l₀l₀=l₁l₂l₃

                        \frac{lo*lo*lo}{l1*l2*l3}=1.0

                      taking natural log on both sides

                              ln(\frac{(lo*lo*lo)}{l1*l2*l3})=ln(1)

Considering the logarithmic Laws of division and multiplication :

                                ln(AB) = ln(A)+ln(B)

                                ln(A/B) = ln(A)-ln(B)

                           ln(\frac{(l1)}{lo})*ln(\frac{(l2)}{lo})*ln(\frac{(l3)}{lo}) = 0

Use the image attached to see the definition of true strain defined as

                         ln(l1/1o)= ε₁

which then proves that ε₁+ε₂+ε₃ = 0

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a vertical cylindrical container is being cooled in ambient air at 25 °C with no air circulation. if the initial temperature of
Sloan [31]

Answer:

the surface heat-transfer coefficient due to natural convection during the initial cooling period.  = 4.93 w/m²k

Explanation:

check attachement for answer explanation

7 0
3 years ago
Read 2 more answers
In a river reach, the rate of inflow at any time is 350 cfs and the rate of outflow is 285 cfs. After 90 min, the inflow and out
Semenov [28]

Answer:

change in storage =  -310,500 ft^3

intital storage= 3.67 acre ft

Explanation:

Given data:

Rate of inflow = 350 cfs

Rate of outflow = 285 cfs

After 90 min,  rate of inflow = 250 cfs

Rate of outflow = 200 cfs

final storage = 10.8 acre-ft

calculating the average inflow and outflow

average inflow  = \frac{(350+250)}{2} = 300 cfs

average outlow  = \frac{(285+200)}{2} = 242.5 cfs

total amount of water drain during the period of one hour

= (average outflow - average inflow) *60*90

= (242.5 - 300)*60*90 = -310,500

change in storage is calculate as

= -310,500 ft^3

in cubic meter

= -310500/35.315 = 8792.30 cm^3

in acre-ft

= -310,500/43560 = 7.13 acre ft

initial storage = 10.8 - 7.13 = 3.67 acre ft

3 0
3 years ago
Write code (ReverseNames.java) that prompts the user to enter his or her full name, then prints the name in reverse order (i.e.,
yan [13]

Answer:

import java.util.Scanner;

import java.io.*;

public class Main{

    public static void main(String []args){

       

       StringBuilder reversedName = new StringBuilder();

       StringBuilder subName = new StringBuilder();

       

       Scanner myObj = new Scanner(System.in);  // Create a Scanner object

       System.out.println("Enter your full name (last name + first name)");

   

       String name = myObj.nextLine();  // Read user input

       

       for (int i = 0; i < name.length(); i++) {

           

           char currentChar = name.charAt(i);

           

           if (currentChar != ' ') {

               subName.append(currentChar);

           } else {

               reversedName.insert(0, currentChar + subName.toString());

               subName.setLength(0);

           }

       }

       String Resul = reversedName.insert(0, subName.toString()).toString();

       System.out.println("Reverse full name: " + Resul);

    }

}

Explanation:

To solve the problem we used StringBuilder, that allow us to build a string letter by letter, we are using two, one to store temporary information (subName) and the other to store the surname plus name (reversedName). After defining the variables, the program asks for the user fullname using Scanner class and it's method .nextLine (the variable 'name' will save the user input). A while loop is also used to iterate over the name, taking character by character with the method .charAt, the program will append letters in subName until it finds a space only then the content of subName will be transfer to reversedName and the content of subName will be deleted, then the program continues with the process until the end of the for loop; finally, the program places the content of subName at the beginning of reversedName, and print the result transforming the StringBuilder to a normal string.

5 0
3 years ago
1) Find the time in seconds to reach full charge in an RL circuit with L = 5 H and R = 100 ohms
pav-90 [236]

The time constant to reach full charge in an RL circuit is 0.05 ms.

Explanation:

To find the time constant,

The time constant for an RL circuit is defined by τ = L/R.

The given data is

L= 5 H

R= 100 ohms

by using the formula,

τ = L/R

  = 5/100

  = 0.05 ms

τ = 0.05 ms

Thus, the time constant to reach full charge in an RL circuit is 0.05 ms.

8 0
3 years ago
What similarities do wind and solar energy share?
Viefleur [7K]

Answer:

Both come from the sun

Both are reusable sources

and both don't cause pollution

Explanation:

3 0
2 years ago
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