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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
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.
Transcribed Image Text:### 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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