Design a timber beam (S4S) made from Douglas Fir for the following:

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Design a timber beam (S4S) made from Douglas Fir for the following:

This image depicts a beam under a uniformly distributed load, a common topic in structural engineering and physics. 

### Description:

- **Beam**: The blue horizontal rectangle represents the beam.
- **Length**: The beam has a length of 18 feet, indicated by "18’" below the beam.
- **Load**: There is a uniformly distributed load over the entire length of the beam. The load is specified as "950 lbs/ft," meaning each foot of the beam is subjected to a load of 950 pounds.
- **Supports**: The beam is supported at two points:
  - The left support is a triangular shape, indicating a pin support. This allows the beam to rotate but not translate.
  - The right support is a circular shape, indicating a roller support. This allows the beam to rotate and translate horizontally but not vertically.

### Analysis:

- **Purpose**: Such diagrams are used to analyze the effects of loads on beams, determining reactions at the supports and the internal forces (shear forces and bending moments) within the beam.
- **Applications**: This concept is crucial in designing structures like bridges, buildings, and other frameworks where load distribution and support are critical for stability and safety.

These principles are typically covered in courses related to structural engineering, mechanics of materials, or physics.
Transcribed Image Text:This image depicts a beam under a uniformly distributed load, a common topic in structural engineering and physics. ### Description: - **Beam**: The blue horizontal rectangle represents the beam. - **Length**: The beam has a length of 18 feet, indicated by "18’" below the beam. - **Load**: There is a uniformly distributed load over the entire length of the beam. The load is specified as "950 lbs/ft," meaning each foot of the beam is subjected to a load of 950 pounds. - **Supports**: The beam is supported at two points: - The left support is a triangular shape, indicating a pin support. This allows the beam to rotate but not translate. - The right support is a circular shape, indicating a roller support. This allows the beam to rotate and translate horizontally but not vertically. ### Analysis: - **Purpose**: Such diagrams are used to analyze the effects of loads on beams, determining reactions at the supports and the internal forces (shear forces and bending moments) within the beam. - **Applications**: This concept is crucial in designing structures like bridges, buildings, and other frameworks where load distribution and support are critical for stability and safety. These principles are typically covered in courses related to structural engineering, mechanics of materials, or physics.
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