**Beam Analysis: Internal Shear and Moment**The image describes the setup for analyzing the internal shear and moment distribution along a beam. It provides the following details:- **Beam Configuration:** - A horizontal beam is labeled as AB. - The beam is subjected to two downward forces, each denoted as \(P\).- **Support Conditions:** - Point A is supported by a pin, represented as a triangle, indicating a pin boundary condition. This allows rotation but not translation. - Point B is supported by a roller, which is depicted as a circle. This allows horizontal displacement but prevents vertical movement.- **Geometry:** - The total length of the beam is \(L\). - Each force \(P\) is located at a distance \(a\) from the nearest support, where \(a = L/4\).- **Diagram Annotations:** - The left support, at A, exerts an upward reaction force \(R_A\). - The right support, at B, provides another reaction force \(R_B\). - Segment AC, from point A to the first load, is \(a\) in length. - Segment CB is \(L-a-a\) or \(L/2\) as loads divide beam symmetrically.This setup is typically used to determine the internal shear force and bending moment distributions along the beam as functions of the distance from the left support A.

Answered: Image /qna-images/answer/1e92b550-a04a-4f5a-9d88-42adf01e43c4.jpg

Answered: Sketch the internal shear and moment as…

Sketch the internal shear and moment as a function of the beam length (triangle denotes a pin boundary condition): a = L/4 Pl PL R A A a L B R₂ B

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**Beam Analysis: Internal Shear and Moment**

The image describes the setup for analyzing the internal shear and moment distribution along a beam. It provides the following details:

- **Beam Configuration:**
- A horizontal beam is labeled as AB.
- The beam is subjected to two downward forces, each denoted as \(P\).

- **Support Conditions:**
- Point A is supported by a pin, represented as a triangle, indicating a pin boundary condition. This allows rotation but not translation.
- Point B is supported by a roller, which is depicted as a circle. This allows horizontal displacement but prevents vertical movement.

- **Geometry:**
- The total length of the beam is \(L\).
- Each force \(P\) is located at a distance \(a\) from the nearest support, where \(a = L/4\).

- **Diagram Annotations:**
- The left support, at A, exerts an upward reaction force \(R_A\).
- The right support, at B, provides another reaction force \(R_B\).
- Segment AC, from point A to the first load, is \(a\) in length.
- Segment CB is \(L-a-a\) or \(L/2\) as loads divide beam symmetrically.

This setup is typically used to determine the internal shear force and bending moment distributions along the beam as functions of the distance from the left support A.

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