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Free Body Diagrams | Engineering Mechanics - Civil Engineering (CE) PDF Download
Equilibrium of Bodies in 3D space
- Draw the FBD
- Equations of equilibrium are given by
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- 6 scalar equations are required to express the conditions for the equilibrium of a rigid body in the general three dimensional case.
∑Fx = 0 ∑Fy = 0 ∑Fz = 0
∑Mx = 0 ∑My = 0 ∑Mz = 0
- 6 unknown reactions can be solved for.
Some unknown reactions in 3D:
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Examples 4.7
Given W = Ladder + Person
= 100 * 9.81 = 981 N
The wheels at A & B are flanged while the wheel at C is unflanged.
Determine reactions at A, B and C
Example 4.8
Given W = 270 lbs
Determine
- Tensions in AE and BD.
- Reactions at A.
Example 4.9
Given mass of the cover: 30 kg Assume no axial reaction at B.
Find Tension in CD and reactions at A & B.
Example 4.10
Given W = 450 lb.
Find
- Location of G so that the tension EG is minimum
- This minimum value of tension
The document Free Body Diagrams | Engineering Mechanics - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Engineering Mechanics.
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FAQs on Free Body Diagrams - Engineering Mechanics - Civil Engineering (CE)
| 1. What is a free body diagram? |  |
| 2. What are the key components of a free body diagram? | |
The key components of a free body diagram include:
- The object being analyzed, represented by a dot or a box
- Arrows indicating the direction of each force acting on the object
- Labels or symbols to represent the magnitude of each force
| 3. How do you draw a free body diagram? | |
To draw a free body diagram, follow these steps:
1. Identify the object you want to analyze.
2. Isolate the object and remove any unnecessary elements.
3. Identify all the forces acting on the object, including gravitational force, normal force, frictional force, applied force, etc.
4. Draw a dot or a box to represent the object.
5. Draw arrows to represent the direction of each force, making sure to label each arrow with the corresponding force's magnitude.
| 4. What is the purpose of using free body diagrams? | |
The purpose of using free body diagrams is to visually represent the forces acting on an object, making it easier to analyze and understand the forces involved in a given situation. It helps in solving problems related to motion, equilibrium, and determining the net force on an object.
| 5. Can free body diagrams be used for all types of objects or only for specific situations? | |
Free body diagrams can be used for all types of objects, whether they are stationary, in motion, or in equilibrium. They provide a clear representation of the forces acting on the object, regardless of the specific situation. Whether it's a simple object on a flat surface or a complex system of objects interacting with each other, free body diagrams can be utilized to analyze the forces involved.
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