Determine the reactions at supports A and B due to the applied loads shown **Problem: Determine the reactions at supports A and B****Diagram Description:**The diagram depicts a structural L-shaped beam supported at two points, A and B. The beam is subjected to external forces as follows:- A vertical force of 600 lb acts downward on the horizontal segment of the beam, located 4 feet from support A.- Another force of 400 lb is applied at the vertical segment of the beam, directed at a 30-degree angle from the horizontal.- The beam is supported at: - Point A, which is 4 feet from the 600 lb force application point. - Point B, located at the right end of the horizontal segment, 2 feet from the corner connecting to the vertical segment.**Additional Details:**- The horizontal segment of the beam is a total of 8 feet long.- The vertical segment is 3 feet long.- Illustrations include symbolized supports under A (a pin support) and B (a roller support).**Objective:**Calculate the reaction forces at supports A and B due to the applied loads. Use principles of static equilibrium, considering both horizontal and vertical equilibrium, as well as taking moments about one of the supports to solve the problem.

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Engineering

Civil Engineering

Determine the reactions at supports A and B due to the applied loads shown

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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Determine the reactions at supports A and B due to the applied loads shown

**Problem: Determine the reactions at supports A and B**

**Diagram Description:**

The diagram depicts a structural L-shaped beam supported at two points, A and B. The beam is subjected to external forces as follows:

- A vertical force of 600 lb acts downward on the horizontal segment of the beam, located 4 feet from support A.
- Another force of 400 lb is applied at the vertical segment of the beam, directed at a 30-degree angle from the horizontal.
- The beam is supported at:
- Point A, which is 4 feet from the 600 lb force application point.
- Point B, located at the right end of the horizontal segment, 2 feet from the corner connecting to the vertical segment.

**Additional Details:**

- The horizontal segment of the beam is a total of 8 feet long.
- The vertical segment is 3 feet long.
- Illustrations include symbolized supports under A (a pin support) and B (a roller support).

**Objective:**

Calculate the reaction forces at supports A and B due to the applied loads. Use principles of static equilibrium, considering both horizontal and vertical equilibrium, as well as taking moments about one of the supports to solve the problem.

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