What is the magnitude of the force on the structural member AB in kips? **Title: Analysis of a Truss System for Reaction Forces****Objective:** Find the reaction forces in members AB, AE, BE, BC, BF, EF, CF, CD, and FD of the truss system.**Truss Layout Description:**- **Geometry and Dimensions:** - The truss is designed horizontally with joints labeled A, B, C, D, E, and F. - The horizontal distances between joints are as follows: - AB = 9 feet - BC = 14 feet - CD = 9 feet - The vertical height from points A to E and F is 12 feet.- **Loading Conditions:** - At joint B, there is a downward force of 8K (kilonewtons). - At joint C, there is a downward force of 12K. - At joint D, a horizontal force of 4K is applied to the right. - At joint E, a force of 5K is applied at an angle of 45° downward.- **Support Reactions:** - Joint A is fixed to the ground, providing support in both horizontal and vertical directions. - Joint F is supported by a roller, allowing for vertical reactions only.**Structural Members:**- The truss consists of several members: - AB, BE, BC (top horizontal members) - AE, BF, EF, CF, CD, FD (bottom and diagonal members)**Analysis Objectives:**- Determine the internal forces in each member of the truss using methods such as the method of joints and method of sections.- Calculate the reactions at supports A and F.**Note:** The truss is statically determinate, allowing for straightforward equilibrium calculations without additional complexities.

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What is the magnitude of the force on the structural member AB in kips?

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

What is the magnitude of the force on the structural member AB in kips?

**Title: Analysis of a Truss System for Reaction Forces**

**Objective:**
Find the reaction forces in members AB, AE, BE, BC, BF, EF, CF, CD, and FD of the truss system.

**Truss Layout Description:**

- **Geometry and Dimensions:**
- The truss is designed horizontally with joints labeled A, B, C, D, E, and F.
- The horizontal distances between joints are as follows:
- AB = 9 feet
- BC = 14 feet
- CD = 9 feet
- The vertical height from points A to E and F is 12 feet.

- **Loading Conditions:**
- At joint B, there is a downward force of 8K (kilonewtons).
- At joint C, there is a downward force of 12K.
- At joint D, a horizontal force of 4K is applied to the right.
- At joint E, a force of 5K is applied at an angle of 45° downward.

- **Support Reactions:**
- Joint A is fixed to the ground, providing support in both horizontal and vertical directions.
- Joint F is supported by a roller, allowing for vertical reactions only.

**Structural Members:**
- The truss consists of several members:
- AB, BE, BC (top horizontal members)
- AE, BF, EF, CF, CD, FD (bottom and diagonal members)

**Analysis Objectives:**
- Determine the internal forces in each member of the truss using methods such as the method of joints and method of sections.
- Calculate the reactions at supports A and F.

**Note:** The truss is statically determinate, allowing for straightforward equilibrium calculations without additional complexities.

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