Static Indeterminacy Problems (Arches)

Problem Set:

Solution Set:

Problem Number	1	2	3	4	5	6	7	8
Degrees Of Freedom (f)	3	3	3	3	3	3	3	3
Number Of Joints or Nodes (j)	2	3	4	2	3	4	4	6
Number Of Loops (l)	0	0	2	0	0	0	0	0
Number Of Parts Involved (n)	1	2	1	1	2	3	3	5
Number Of Reactions (r)	6	8	5	4	6	8	10	14
External Static Degree Of Indeterminacy (Dse= r–f*n)	3	2	2	1	0	-1 (Unstable Structure)	1	-1 (Unstable Structure)
Internal  Static Degree Of Indeterminacy (Dsi= f*l)	0	0	6	0	0	0	0	0
Static Degree Of Indeterminacy (Ds=Dse+Dsi)	3	2	8	1	0 (Statically Determinate Structure)	-1	1	-1
Kinematic  Degree Of Indeterminacy (Dk= f*j-r)	0 (Kinematic  Determinate Structure)	1	7	2	3	4	2	4