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Draw the shear-force and bending-moment diagrams for a simple beam AB supporting two equal con- centrated loads P (see figure). Repeat if the left-hand load is upward and the right-hand load is downward. A L PL a B 4118

Draw the shear-force and bending-moment diagrams for a simple beam AB supporting two equal con- centrated loads P (see figure). Repeat if the left-hand load is upward and the right-hand load is downward. A L PL a B 4118

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Shear Force and Bending Moment Diagrams for a Simple Beam** The task involves drawing shear-force and bending-moment diagrams for a simple beam AB. The beam supports two equal concentrated loads, P, as depicted in the figure. Additionally, consider the scenario where the left-hand load is directed upward and the right-hand load is directed downward. **Diagram Explanation:** - **Beam AB**: The horizontal beam labeled as AB supports two equal loads. - **Concentrated Loads (P)**: Two red arrows pointing downward on the beam represent the concentrated loads, each with a magnitude of P. Each load is located at a distance 'a' from the ends A and B, respectively. In the secondary scenario, the left load is upward, and the right is downward. - **Supports**: - Point A: A triangular support illustrates a simple support or pin connection, providing vertical support only. - Point B: A roller support is shown, allowing vertical movements but restricting horizontal movements. - **Dimensions**: - The total length of the beam is denoted by L. - The distance from each end of the beam to the load is denoted by 'a'. This visualization is crucial for understanding the distribution of internal forces and moments within the beam, which are essential to ensure structural stability and safety.
Transcribed Image Text:**Shear Force and Bending Moment Diagrams for a Simple Beam** The task involves drawing shear-force and bending-moment diagrams for a simple beam AB. The beam supports two equal concentrated loads, P, as depicted in the figure. Additionally, consider the scenario where the left-hand load is directed upward and the right-hand load is directed downward. **Diagram Explanation:** - **Beam AB**: The horizontal beam labeled as AB supports two equal loads. - **Concentrated Loads (P)**: Two red arrows pointing downward on the beam represent the concentrated loads, each with a magnitude of P. Each load is located at a distance 'a' from the ends A and B, respectively. In the secondary scenario, the left load is upward, and the right is downward. - **Supports**: - Point A: A triangular support illustrates a simple support or pin connection, providing vertical support only. - Point B: A roller support is shown, allowing vertical movements but restricting horizontal movements. - **Dimensions**: - The total length of the beam is denoted by L. - The distance from each end of the beam to the load is denoted by 'a'. This visualization is crucial for understanding the distribution of internal forces and moments within the beam, which are essential to ensure structural stability and safety.
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