Six scalar equations are required to express the ...arahim/SEMM 1203 equilibrium 3D rigid...
Transcript of Six scalar equations are required to express the ...arahim/SEMM 1203 equilibrium 3D rigid...
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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REMINDER: PASSING MARK = 50%