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# Free Body Diagrams Mechanical Engineering Notes | EduRev

## Mechanical Engineering : Free Body Diagrams Mechanical Engineering Notes | EduRev

The document Free Body Diagrams Mechanical Engineering Notes | EduRev is a part of the Mechanical Engineering Course Engineering Mechanics - Notes, Videos, MCQs & PPTs.
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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.

∑Fx = 0  ∑Fy = 0  ∑Fz = 0
∑Mx = 0 ∑My = 0 ∑Mz = 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        Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

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