HBW stands for Home based work ### Balancing HBW Trip Production and Attraction TablesA zone's Home-Based Work (HBW) trip production and attraction tables have been determined as shown below. The total production is not equal to the total attraction. The objective is to balance the trip productions and attractions accordingly.#### HBW Trip Production Table| Zone \(i\) | \(P_i\) ||------------|---------|| 1 | 300 || 2 | 100 || 3 | 200 || **Total** | **600** |#### HBW Trip Attraction Table| Zone \(j\) | \(A_j\) ||------------|---------|| 1 | 150 || 2 | 300 || 3 | 350 || **Total** | **800** |The production table (left) shows the total number of trips produced in each zone \(i\), while the attraction table (right) shows the total number of trips attracted to each zone \(j\).### Explanation- **Zone \(i\)** and **Zone \(j\)** represent different zones.- **\(P_i\)** refers to the number of trips produced in zone \(i\).- **\(A_j\)** refers to the number of trips attracted to zone \(j\).- The total production (\(600\) trips) is less than the total attraction (\(800\) trips).#### Balancing the TablesTo balance the tables, the following must be achieved:1. **Adjustment of Productions or Attractions:** - The total amount of trips produced should match the total amount of trips attracted.##### Methods to Balance1. **Scale Productions to Match Attractions:** - Adjust the production values proportionally to match the attraction totals. For example, increasing each production value so that their sum matches 800. 2. **Scale Attractions to Match Productions:** - Adjust the attraction values proportionally to match the production total. For example, decreasing each attraction value so that their sum matches 600.Either method involves applying scaling factors to adjust the values, ensuring the new totals for production and attraction are equal, thus achieving balance.

The unbalanced trip production and attraction tables are given:-Zone (i)PiZone (j)…

2. A zone's HBW trip production and attraction tables have been determined as shown below. The total production is not equal to the total attraction. Balance the trip productions and attractions. HBW trips HBW trips Zone i 1 2 3 Total P₁ 300 100 200 600 Zone j 1 2 3 Total Aj 150 300 350 800

2. A zone's HBW trip production and attraction tables have been determined as shown below. The total production is not equal to the total attraction. Balance the trip productions and attractions. HBW trips HBW trips Zone i 1 2 3 Total P₁ 300 100 200 600 Zone j 1 2 3 Total Aj 150 300 350 800

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Quantity takeoff

Quantity takeoffs (QTO) are precise estimates of the materials and labor costs required to finish a construction project. During the pre-construction phase, an estimator prepares them, breaking down the project into smaller, more manageable parts that are easier to evaluate. These measurements are used to prepare a construction scope bid. Estimators examine the drawings, specifications, and models to figure out different quantities and their costs. Since, the components, their quantity, and price are all included in the model, quantity take-off can be done automatically using Building Information Modelling (BIM). The time taken for completing a construction project can be reduced by the use of quantity takeoff. These takeoffs are also called material takeoffs and construction takeoffs.

Question

HBW stands for Home based work

### Balancing HBW Trip Production and Attraction Tables

A zone's Home-Based Work (HBW) trip production and attraction tables have been determined as shown below. The total production is not equal to the total attraction. The objective is to balance the trip productions and attractions accordingly.

#### HBW Trip Production Table
| Zone \(i\) | \(P_i\) |
|------------|---------|
| 1 | 300 |
| 2 | 100 |
| 3 | 200 |
| **Total** | **600** |

#### HBW Trip Attraction Table
| Zone \(j\) | \(A_j\) |
|------------|---------|
| 1 | 150 |
| 2 | 300 |
| 3 | 350 |
| **Total** | **800** |

The production table (left) shows the total number of trips produced in each zone \(i\), while the attraction table (right) shows the total number of trips attracted to each zone \(j\).

### Explanation
- **Zone \(i\)** and **Zone \(j\)** represent different zones.
- **\(P_i\)** refers to the number of trips produced in zone \(i\).
- **\(A_j\)** refers to the number of trips attracted to zone \(j\).
- The total production (\(600\) trips) is less than the total attraction (\(800\) trips).

#### Balancing the Tables
To balance the tables, the following must be achieved:

1. **Adjustment of Productions or Attractions:**
- The total amount of trips produced should match the total amount of trips attracted.

##### Methods to Balance
1. **Scale Productions to Match Attractions:**
- Adjust the production values proportionally to match the attraction totals. For example, increasing each production value so that their sum matches 800.

2. **Scale Attractions to Match Productions:**
- Adjust the attraction values proportionally to match the production total. For example, decreasing each attraction value so that their sum matches 600.

Either method involves applying scaling factors to adjust the values, ensuring the new totals for production and attraction are equal, thus achieving balance.

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