answer.
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
Amanda [17]
2 years ago
12

The 2-Mg concrete pipe has a center of mass at point G. If it is suspended from cables AB and AC, determine the diameter of cabl

e AB so that the average normal stress in this cable is the same as in the 10-mm-diameter cable AC.
Engineering
1 answer:
Lapatulllka [165]2 years ago
8 0

Answer:

d_ab = 0.01189 m or 11.89 mm

Explanation:

Given:

- Weight of the block W = 2 Mg

- The diameter of cable AC, d_ac = 10 mm

Find:

- determine the diameter of cable AB so that the average normal stress in this cable is the same as in the cable AC.

Solution:

- We will apply equilibrium conditions on the given structure:

             Sum of forces in vertical y direction = 0

                        F_ab*cos(30) + F_ac*sin(45) - W = 0

   Where,         W = 2*10^3 * 9.81 = 19.62 KN

                       F_ab*cos(30) + F_ac*sin(45) - 19.62 = 0   .... 1

             Sum of forces in horizontal x direction = 0

                        F_ab*sin(30) - F_ac*cos(45) = 0               ..... 2

- Now solve Equation 1 and 2 simultaneously:

  From Eq 2:   F_ac*cos(45) = F_ab*sin(30)

  Input Eq 1:    F_ab * (cos(30) + sin(30)) = 19.62

                       F_ab = 19.62 /  (cos(30) + sin(30))

                       F_ab =  14.36 KN

  Input Eq 2:   F_ac = 14.36*sin(30) / cos(45)

                      F_ac = 10.16 KN

- Compute the cross-section areas of the both cables:

                       A_ac = pi*d_ac^2 / 4 = pi*(0.01)^2 / 4

                       A_ac = pi*d_ab^2 / 4 = pi*(d_ab)^2 / 4

- Compute the normal stress in both cables:

                       Q_ac = F_ac / A_ac

                       Q_ab = F_ab / A_ab

We know that: Q_ab = Q_ac

                        F_ac / A_ac = F_ab / A_ab

- Plug in the values:

                       F_ac / F_ab = A_ac / A_ab

                       10.16 / 14.36 = (pi*(0.01)^2 / 4) / (pi*(d_ab)^2 / 4)

                       d_ab = sqrt (14.355*0.01^2 / 10.16)

                       d_ab = sqrt (0.000141338)

                       d_ab = 0.01189 m or 11.89 mm

You might be interested in
Suppose we store a relation R (x,y) in a grid file. Both attributes have a range of values from 0 to 1000. The partitions of thi
leva [86]

Answer:

For (a) The total number of buckets from the given query for the relation is 25 buckets (b) the nearest neighboring query is (80, 200) (80, 150), (100, 150), (120,150) and (120, 200)

Explanation:

From the question stated, we need to define what a Grid file is

Grid File it is a structure of data that are used to divide the total space into a grid non-periodic, where set of point (small) are defined by more than one cells of the grid.

(a)Finding buckets for the query

The relation is divided into two parts which ranges from 0 to 1000, the first part is partitioned in every 20 units, at 20, 40, 60 etc; a second part is partitioned into every 50 units at 50, 100, 150 etc.

The total number of buckets from the given query for the relation is 25 buckets

(b)Finding the closest point or nearest point

The closest point discovered in the distance is little above 15

These points are are the points closer to the point target (110, 205) which can be found in five neighboring rectangles with left corners lower is stated as follows:

(80, 200) (80, 150), (100, 150), (120,150) and (120, 200)

3 0
2 years ago
A fatigue test was conducted in which the mean stress was 46.2 MPa and the stress amplitude was 219 MPa.
sleet_krkn [62]

Answer:

a)σ₁ = 265.2 MPa

b)σ₂ = -172.8 MPa

c)Stress\ ratio =-0.65

d)Range = 438 MPa

Explanation:

Given that

Mean stress ,σm= 46.2 MPa

Stress amplitude ,σa= 219 MPa

Lets take

Maximum stress level = σ₁

Minimum stress level =σ₂

The mean stress given as

\sigma_m=\dfrac{\sigma_1+\sigma_2}{2}

2\sigma_m={\sigma_1+\sigma_2}

2 x 46.2 =  σ₁ +  σ₂

 σ₁ +  σ₂ = 92.4 MPa    --------1

The amplitude stress given as

\sigma_a=\dfrac{\sigma_1-\sigma_2}{2}

2\sigma_a={\sigma_1-\sigma_2}

2 x 219 =  σ₁ -  σ₂

 σ₁ -  σ₂ = 438 MPa    --------2

By adding the above equation

2  σ₁ = 530.4

σ₁ = 265.2 MPa

-σ₂ = 438 -265.2 MPa

σ₂ = -172.8 MPa

Stress ratio

Stress\ ratio =\dfrac{\sigma_{min}}{\sigma_{max}}

Stress\ ratio =\dfrac{-172.8}{265.2}

Stress\ ratio =-0.65

Range = 265.2 MPa - ( -172.8 MPa)

Range = 438 MPa

8 0
2 years ago
Fix the code so the program will run correctly for MAXCHEESE values of 0 to 20 (inclusive). Note that the value of MAXCHEESE is
GarryVolchara [31]

Answer:

Code fixed below using Java

Explanation:

<u>Error.java </u>

import java.util.Random;

public class Error {

   public static void main(String[] args) {

       final int MAXCHEESE = 10;

       String[] names = new String[MAXCHEESE];

       double[] prices = new double[MAXCHEESE];

       double[] amounts = new double[MAXCHEESE];

       // Three Special Cheeses

       names[0] = "Humboldt Fog";

       prices[0] = 25.00;

       names[1] = "Red Hawk";

       prices[1] = 40.50;

       names[2] = "Teleme";

       prices[2] = 17.25;

       System.out.println("We sell " + MAXCHEESE + " kind of Cheese:");

       System.out.println(names[0] + ": $" + prices[0] + " per pound");

       System.out.println(names[1] + ": $" + prices[1] + " per pound");

       System.out.println(names[2] + ": $" + prices[2] + " per pound");

       Random ranGen = new Random(100);

       // error at initialising i

       // i should be from 0 to MAXCHEESE value

       for (int i = 0; i < MAXCHEESE; i++) {

           names[i] = "Cheese Type " + (char) ('A' + i);

           prices[i] = ranGen.nextInt(1000) / 100.0;

           amounts[i] = 0;

           System.out.println(names[i] + ": $" + prices[i] + " per pound");

       }        

   }

}

7 0
2 years ago
Liquid oxygen is stored in a thin-walled, spherical container 0.75 m in diameter, which is enclosed within a second thin-walled,
nadezda [96]

Answer:

Explanation:

the solution is well stated

3 0
2 years ago
3.24 Program: Drawing a half arrow (Java) This program outputs a downwards facing arrow composed of a rectangle and a right tria
eimsori [14]

Answer:

Here is the JAVA program:

import java.util.Scanner; // to get input from user

public class DrawHalfArrow{ // start of the class half arrow

public static void main(String[] args) { // starts of main() function body

    Scanner scnr = new Scanner(System.in); //reads input

int arrowBaseHeight = 0; // stores the height of arrow base

int arrowBaseWidth  = 0; // holds width of arrow base

int arrowHeadWidth = 0; // contains the width of arrow head

// prompts the user to enter arrow base height, width and arrow head width

System.out.println("Enter arrow base height: ");

arrowBaseHeight = scnr.nextInt(); // scans and reads the input as int

System.out.println("Enter arrow base width: ");

arrowBaseWidth = scnr.nextInt();

/* while loop to continue asking user for an arrow head width until the value entered is greater than the value of arrow base width */

while (arrowHeadWidth <= arrowBaseWidth) {

    System.out.println("Enter arrow head width: ");

    arrowHeadWidth = scnr.nextInt(); }

//start of the nested loop

//outer loop iterates a number of times equal to the height of the arrow base

 for (int i = 0; i < arrowBaseHeight; i++) {

//inner loop prints the stars asterisks

      for (int j = 0; j <arrowBaseWidth; j++) {

          System.out.print("*");        } //displays stars

          System.out.println();          }

//temporary variable to hold arrowhead width value

int k = arrowHeadWidth;

//outer loop to iterate no of times equal to the height of the arrow head

for (int i = 1; i <= arrowHeadWidth; i++)

{     for(int j = k; j > 0; j--)     {//inner loop to print stars

       System.out.print("*");    } //displays stars

   k = k - 1;

   System.out.println(); } } } // continues to add more asterisks for new line

Explanation:

The program asks to enter the height of the arrow base, width of the arrow base and the width of arrow head. When asking to enter the width of the arrow head, a condition is checked that the arrow head width arrowHeadWidth should be less than or equal to width of arrow base arrowBaseWidth. The while loop keeps iterating until the user enters the arrow head width larger than the value of arrow base width.

The loop is used to output an arrow base of height arrowBaseHeight. So point (1) is satisfied.

The nested loop is being used which as a whole outputs an arrow base of width arrowBaseWidth. The inner loop draws the stars and forms the base width of the arrow, and the outer loop iterates a number of times equal to the height of the arrow. So (2) is satisfied.

A temporary variable k is used to hold the original value of arrowHeadWidth so that it keeps safe when modification is done.

The last nested loop is used to output an arrow head of width arrowHeadWidth. The inner loop forms the arrow head and prints the stars needed to form an arrow head. So (3) is satisfied.

The value of temporary variable k is decreased by 1 so the next time it enters  the nested for loop it will be one asterisk lesser.

The screenshot of output is attached.

3 0
2 years ago
Other questions:
  • If a server takes precisely 15 seconds to serve a customer and customers arrive exactly every 20 seconds, what is the average wa
    7·1 answer
  • A meter stick can be read to the nearest millimeter and a travelling microscope can be read to the nearest 0.1 mm. Suppose you w
    11·1 answer
  • The in situ moist unit weight of a soil is 17.3 kN/m^3 and the moisture content is 16%. The specific gravity of soil solids is 2
    11·1 answer
  • Argon contained in a closed, rigid tank, initially at 33.7°C, 2.1 bar, and a volume of 4.2 m3, is heated to a final pressure of
    12·1 answer
  • The Gill Art Gallery wishes to maintain data on their customers, artists and paintings. They may have several paintings by each
    7·1 answer
  • The mechanical properties of some metals may be improved by incorporating fine particles of their oxides. If the moduli of elast
    12·1 answer
  • Thermal energy generated by the electrical resistance of a 5-mm-diameter and 4-m-long bare cable is dissipated to the surroundin
    12·1 answer
  • Lydia is the CEO for a large pharmaceutical manufacturer. Her company is in the final stages of FDA
    12·1 answer
  • Select the level of education that is best demonstrated in each example.
    10·2 answers
  • A surface grinding operation is used to finish a flat plate that is 5.50 in wide and 12.500 in long. The starting thickness is 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!