7-91. The beam consists of two segments pin connected at B. Draw the shear and moment diagrams for the beam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 7-91 Explanation on Educational Website**

**Description and Setup:**
The problem involves a beam structure that consists of two segments connected by a pin at point B. The beam is subject to various forces and a moment, and the task is to draw the shear and moment diagrams for the beam.

**Diagram Details:**

- **Beam Segments:**
  - The beam segment AB is 12 feet long (8 ft from A to the pin B, and 4 ft from the pin B to the start of distributed load).
  - The beam segment BC is 6 feet long from the pin B to point C.

- **External Loads:**
  - A concentrated load of 700 lb acts downward at the 8 ft mark, right at the pin connection point B.
  - A distributed load of 150 lb/ft extends over the 6 ft length of beam segment BC, starting from point B.
  - A moment of 800 lb·ft is applied at the end of the beam at point C in the clockwise direction.

- **Supports:**
  - The beam is fixed at point A, indicating it cannot move, providing vertical and horizontal support as well as a resistance to rotation.
  - There is a roller support at point C, allowing for vertical force resistance while permitting horizontal movement.

**Analysis Objective:**
To determine the shear force and bending moment at any point along the beam, and visually represent this information in shear and moment diagrams.

These diagrams help visualize how the internal forces (shear forces and bending moments) vary along the length of the beam, influenced by the applied loads and the type of supports. Drawing these diagrams involves calculating the reactions at the supports and integrating the load distribution along the beam.
Transcribed Image Text:**Problem 7-91 Explanation on Educational Website** **Description and Setup:** The problem involves a beam structure that consists of two segments connected by a pin at point B. The beam is subject to various forces and a moment, and the task is to draw the shear and moment diagrams for the beam. **Diagram Details:** - **Beam Segments:** - The beam segment AB is 12 feet long (8 ft from A to the pin B, and 4 ft from the pin B to the start of distributed load). - The beam segment BC is 6 feet long from the pin B to point C. - **External Loads:** - A concentrated load of 700 lb acts downward at the 8 ft mark, right at the pin connection point B. - A distributed load of 150 lb/ft extends over the 6 ft length of beam segment BC, starting from point B. - A moment of 800 lb·ft is applied at the end of the beam at point C in the clockwise direction. - **Supports:** - The beam is fixed at point A, indicating it cannot move, providing vertical and horizontal support as well as a resistance to rotation. - There is a roller support at point C, allowing for vertical force resistance while permitting horizontal movement. **Analysis Objective:** To determine the shear force and bending moment at any point along the beam, and visually represent this information in shear and moment diagrams. These diagrams help visualize how the internal forces (shear forces and bending moments) vary along the length of the beam, influenced by the applied loads and the type of supports. Drawing these diagrams involves calculating the reactions at the supports and integrating the load distribution along the beam.
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