EQUILIBRIUM OF A RIGID BODY (3D) • Six scalar equations are required to express the

conditions for the equilibrium of a rigid body in the

general three dimensional case.

000

000

zyx

zyx

MMM

FFF

• The scalar equations are conveniently obtained by applying the

vector forms of the conditions for equilibrium,

00 FrMF O

EQUILIBRIUM OF A RIGID BODY (3D)

Reactions at supports and connections

EQUILIBRIUM OF A RIGID BODY (3D)

Reactions at supports and connections

EQUILIBRIUM OF A RIGID BODY (3D) Example 1:

FBD

EQUILIBRIUM OF A RIGID BODY (3D) Example 1:

EQUILIBRIUM OF A RIGID BODY (3D) Example 1:

(2)

EQUILIBRIUM OF A RIGID BODY (3D) Example 2:

FBD

W =100g

Dx

Dz

Dy Az

Ay

EQUILIBRIUM OF A RIGID BODY (3D) Example 2:

EQUILIBRIUM OF A RIGID BODY (3D) Example 2:

EQUILIBRIUM OF A RIGID BODY (3D) Example 2:

EQUILIBRIUM OF A RIGID BODY (3D) Example 2:

981 N

643.9 N

-429 N

122.2 N

751.3 N 643.9 N

751.3 N

EQUILIBRIUM OF A RIGID BODY (3D) Exercise 1:

Answer: Mz = 49.05 Nm Ax = Cx = 0 N Ay = Cy = 490.5 N

x

y

z

EQUILIBRIUM OF A RIGID BODY (3D) Exercise 2:

Answer:

Contents in the slides are mostly taken from the following sources/references: 1. J. Walt Oler, Statics: Lecture Notes, Texas Tech University, USA, 2007. 2. Yunan Prawoto & Abd Rahman Musa, Statics, UTM Open Courseware, 2010. 3. R. C. Hibbeler, Engineering Mechanics-Statics, Pearson Education, NJ, USA, 2007.

EQUILIBRIUM 2D

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