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Categories of Equilibrium in Two Dimensions 
Prof. P. Rajayogan M. Tech., MISTE., MASCE., FACCE, FIE., +91 9486026085 Email Id 
rajayoganp@gmail.com 
P 
Rajayog 
an 
Digitally signed by P 
Rajayogan 
DN: cn=P Rajayogan, 
o, ou, 
email=rajayopganp@ 
gmail.com, c=IN 
Date: 2014.09.22 
19:55:45 +05'30'
Collinear Force System 
Free-body Diagram 
Fx  0 
x 
F1 
F2 
F3 
Independent Equations
Concurrent (at a point) Force System 
Free-body Diagram 
Fx  0 
F1 
F2 F3 
F4 
x 
y 
Independent Equations 
Fy  0
Parallel Force System 
Free-body Diagram 
Fx  0 
F1 
F2 
F3 
F4 
Independent Equations 
0 
z 
M 
Parallel Force System 
Free-body Diagram 
Fy  0 F4 
F1 
F2 
F3 
Independent Equations 
Mz  0
General Force System 
Free-body Diagram 
F1 
F2 
F3 
F4 
x 
y 
M 
Independent Equations Fx  0 Fy  0 
0 
z 
M 

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Engineering Mechanics categories of equilibrium in two dimensions

  • 1. Categories of Equilibrium in Two Dimensions Prof. P. Rajayogan M. Tech., MISTE., MASCE., FACCE, FIE., +91 9486026085 Email Id rajayoganp@gmail.com P Rajayog an Digitally signed by P Rajayogan DN: cn=P Rajayogan, o, ou, email=rajayopganp@ gmail.com, c=IN Date: 2014.09.22 19:55:45 +05'30'
  • 2. Collinear Force System Free-body Diagram Fx  0 x F1 F2 F3 Independent Equations
  • 3. Concurrent (at a point) Force System Free-body Diagram Fx  0 F1 F2 F3 F4 x y Independent Equations Fy  0
  • 4. Parallel Force System Free-body Diagram Fx  0 F1 F2 F3 F4 Independent Equations 0 z M 
  • 5. Parallel Force System Free-body Diagram Fy  0 F4 F1 F2 F3 Independent Equations Mz  0
  • 6. General Force System Free-body Diagram F1 F2 F3 F4 x y M Independent Equations Fx  0 Fy  0 0 z M 