### Solving for the Resultant Force in a Parallel Force SystemIn this problem, we will determine the resultant force, along with its magnitude and location, for a given parallel force system.### Problem DescriptionThe figure provided illustrates a simply supported beam with two point loads and a uniformly distributed load. The beam has supports at points \( A \) and \( B \).The forces acting on the beam are as follows:1. A concentrated load of 3 kips located 3 ft from the support at \( A \).2. A concentrated load of 10 kips located 7 ft from the support at \( A \).3. A uniformly distributed load of 2 kips/ft acting over a span of 6 ft starting 13 ft from the support at \( A \).### Force Diagram Explanation- **Support Points**: - \( A \): Pin support. - \( B \): Roller support, located 12 feet from the pin support at \( A \).- **Loads**: - **3 kips Load**: Applied vertically downward, located 3 ft from point \( A \). - **10 kips Load**: Applied vertically downward, located 7 ft from point \( A \). - **Uniform Load**: Distributed load of 2 kips/ft over a span of 6 ft, starting 13 ft from point \( A \).### Steps to Solve the Problem1. **Calculate the Resultant (Magnitude) of the Forces**: - Sum the concentrated loads. - Determine the equivalent point load for the uniformly distributed load.2. **Determine the Position (Location \( x \)) of the Resultant Force**: - Calculate the moment of each force about point \( A \). - Compute the resultant moment using the principle of moments.### Solving for the Magnitude of the Resultant Force- **Resultant Force from Concentrated Loads**: \( F_{\text{resultant}} = 3 \text{ kips} + 10 \text{ kips} = 13 \text{ kips} \)- **Resultant Force from Uniformly Distributed Load**: \( F_{\text{uniform}} = 2 \text{ kips/ft} \times 6 \text{ ft} = 12 \text{ kips} \)- **Total Resultant Force**: \(

To find:The magnitude and location of the resultant.

Answered: Solve for the Resultant (Magnitude and…

Solve for the Resultant (Magnitude and Location x) for the parallel force system below. A 3 ft 3 kips 4 ft 10 kips 5 ft -2 kips/ft m B 6 ft

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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