### Problem Description:A trailer weighing 2400 lb is attached to a 2900-lb pickup truck using a ball-and-socket hitch at point \( D \). ### Diagram Details:- **Diagram Overview:** The illustration shows a side view of a trailer connected to a pickup truck. The trailer's weight \((P)\) and the truck's weight distribution \((Q)\) are marked. - **Trailer:** - Weight: 2400 lb - Length from front to attachment: 9 ft - Rear wheel location (A): 2 ft from the start of the trailer- **Pickup Truck:** - Weight: 2900 lb - Distance between the hitch (D) to the rear wheel (B): 3 ft - Distance between the rear wheel (B) and the front wheel (C): 5 ft - Distance from front wheel (C) to end is 4 ft.### Objective:Determine the additional load on each of the truck wheels (B and C) due to the trailer.### Additional Loads:- The additional load on wheel \( B \) is \( \Delta B = \_\_\_ \) lb.- The additional load on wheel \( C \) is \( \Delta C = -\_\_\_ \) lb.### Analysis Approach:To solve this problem, one must calculate how the trailer's weight is distributed onto the truck's wheels using the principles of static equilibrium and moments.1. **Establish Equilibrium Equations:** - Use the sum of moments around one wheel to find the reaction at the other. - Ensure that the total vertical forces sum to zero.2. **Calculate Increased Load:** - \( \Delta B \) and \( \Delta C \) can be calculated by considering the lever arms and total forces.These calculations will help in understanding how a trailer affects the load distribution on a truck, which is essential for safe vehicle operation.

A trailer weighing 2400 lb is attached to a 2900-lb pickup truck by a ball-and-socket truck hitch at D. P D B C - 9 ft -3 ft- 5 ft 4 ft 2 ft Determine the additional load on each of the truck wheels due to the trailer. The additional load on wheel Bis AB=| The additional load on wheel Cis AC== Ib. ] lb.

A trailer weighing 2400 lb is attached to a 2900-lb pickup truck by a ball-and-socket truck hitch at D. P D B C - 9 ft -3 ft- 5 ft 4 ft 2 ft Determine the additional load on each of the truck wheels due to the trailer. The additional load on wheel Bis AB=| The additional load on wheel Cis AC== Ib. ] lb.

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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### Problem Description:

A trailer weighing 2400 lb is attached to a 2900-lb pickup truck using a ball-and-socket hitch at point \( D \).

### Diagram Details:

- **Diagram Overview:** The illustration shows a side view of a trailer connected to a pickup truck. The trailer's weight \((P)\) and the truck's weight distribution \((Q)\) are marked.

- **Trailer:**
- Weight: 2400 lb
- Length from front to attachment: 9 ft
- Rear wheel location (A): 2 ft from the start of the trailer

- **Pickup Truck:**
- Weight: 2900 lb
- Distance between the hitch (D) to the rear wheel (B): 3 ft
- Distance between the rear wheel (B) and the front wheel (C): 5 ft
- Distance from front wheel (C) to end is 4 ft.

### Objective:

Determine the additional load on each of the truck wheels (B and C) due to the trailer.

### Additional Loads:

- The additional load on wheel \( B \) is \( \Delta B = \_\_\_ \) lb.
- The additional load on wheel \( C \) is \( \Delta C = -\_\_\_ \) lb.

### Analysis Approach:

To solve this problem, one must calculate how the trailer's weight is distributed onto the truck's wheels using the principles of static equilibrium and moments.

1. **Establish Equilibrium Equations:**
- Use the sum of moments around one wheel to find the reaction at the other.
- Ensure that the total vertical forces sum to zero.

2. **Calculate Increased Load:**
- \( \Delta B \) and \( \Delta C \) can be calculated by considering the lever arms and total forces.

These calculations will help in understanding how a trailer affects the load distribution on a truck, which is essential for safe vehicle operation.

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