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**Equilibrium of Bodies in 3D space**

- Draw the FBD
- Equations of equilibrium are given by

- 6 scalar equations are required to express the conditions for the equilibrium of a rigid body in the general three dimensional case.

âˆ‘F_{x} = 0 âˆ‘F_{y} = 0 âˆ‘F_{z} = 0

âˆ‘M_{x} = 0 âˆ‘M_{y} = 0 âˆ‘M_{z} = 0

- 6 unknown reactions can be solved for.

**Some unknown reactions in 3D: **

**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

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30 videos|72 docs|65 tests

### Test: Conditions For A Rigid-Body Equilibrium

- Test | 30 ques | 60 min
### Equilibrium in 2D and Free Body Diagrams

- Video | 07:42 min
### Test: Two And Three Force Members

- Test | 15 ques | 30 min
### Constraints for a Rigid Body

- Doc | 4 pages
### Test: Constraints And Statical Determinacy

- Test | 15 ques | 30 min

- Equilibrium in 3D
- Video | 17:50 min
- Test: Different Free Body Diagrams
- Test | 15 ques | 30 min