**Understanding Support Reactions in Beams**The support at point C is designated as a rocker. This type of support is characterized by its ability to prevent vertical translation while allowing for horizontal movement and rotation.**Objective:** Create a Free Body Diagram (FBD) that determines the support reactions at:- The rocker at point C- The roller at point B (which functions similarly to a rocker)- The smooth contact at point A**Diagram Explanation:**In the diagram provided, a beam is placed horizontally with three distinct support points: A, B, and C. 1. **Support Point A:** - Positioned at the left end of the beam. - The ground at A makes an angle of 3:4 with the horizontal.2. **Support Point B:** - Located 4 meters from point A. - Acts as a roller, which typically permits horizontal displacement but resists vertical forces.3. **Support Point C:** - Situated 6 meters from point B and at the right end of the beam. - A rocker support here allows for rotation and horizontal movement, preventing only vertical displacement.**Forces Acting on the Beam:**- A vertical downward force of 500 N is applied at a distance of 4 meters from point A, directly above point B.- An inclined force of 800 N acts downward at an angle of 60 degrees from the horizontal. This force is applied 8 meters from point A, within the span between points B and C.**Dimensions:**- The total length of the beam is 12 meters, with the distance between point A and B measuring 4 meters, and B to C measuring 6 meters.By understanding these components and applying principles of static equilibrium, the reactions at the supports can be accurately determined.

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The support at C is a rocker, which implies that it will prevent translation in the vertical direction, but allows for horizontal translation and also allows for rotation. Drawing a neat labelled FBD, determine the support reactions at the rocker C, the roller at B (which behaves just like a rocker), and the smooth contact at A. 800 N 500 N 60° В - 4 m - -2 m- 6 m

The support at C is a rocker, which implies that it will prevent translation in the vertical direction, but allows for horizontal translation and also allows for rotation. Drawing a neat labelled FBD, determine the support reactions at the rocker C, the roller at B (which behaves just like a rocker), and the smooth contact at A. 800 N 500 N 60° В - 4 m - -2 m- 6 m

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

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

**Understanding Support Reactions in Beams**

The support at point C is designated as a rocker. This type of support is characterized by its ability to prevent vertical translation while allowing for horizontal movement and rotation.

**Objective:**
Create a Free Body Diagram (FBD) that determines the support reactions at:
- The rocker at point C
- The roller at point B (which functions similarly to a rocker)
- The smooth contact at point A

**Diagram Explanation:**

In the diagram provided, a beam is placed horizontally with three distinct support points: A, B, and C.

1. **Support Point A:**
- Positioned at the left end of the beam.
- The ground at A makes an angle of 3:4 with the horizontal.

2. **Support Point B:**
- Located 4 meters from point A.
- Acts as a roller, which typically permits horizontal displacement but resists vertical forces.

3. **Support Point C:**
- Situated 6 meters from point B and at the right end of the beam.
- A rocker support here allows for rotation and horizontal movement, preventing only vertical displacement.

**Forces Acting on the Beam:**

- A vertical downward force of 500 N is applied at a distance of 4 meters from point A, directly above point B.
- An inclined force of 800 N acts downward at an angle of 60 degrees from the horizontal. This force is applied 8 meters from point A, within the span between points B and C.

**Dimensions:**

- The total length of the beam is 12 meters, with the distance between point A and B measuring 4 meters, and B to C measuring 6 meters.

By understanding these components and applying principles of static equilibrium, the reactions at the supports can be accurately determined.

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