Problem set (Beams):
Find out all degree of indeterminacy of for following cases of beams.
Find out all degree of indeterminacy of for following cases of beams.
Beam Problems
Solutions:
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
|
2
|
2
|
6
|
2
|
7
|
3
|
6
|
Number Of
Loops
(l)
|
0
|
0
|
0
|
1
|
0
|
2
|
0
|
0
|
Number Of
Parts Involved
(n)
|
1
|
1
|
1
|
1
|
1
|
1
|
2
|
5
|
Number Of
Reactions
(r)
|
0
|
2
|
3
|
3
|
3
|
3
|
7
|
14
|
External
Static Degree Of Indeterminacy
(Dse= r–f*n)
|
-3
(Unstable
Structure)
|
-1
(Unstable
Structure)
|
0
|
0
|
0
|
0
|
1
|
-1
(Unstable
Structure)
|
Internal Static Degree Of Indeterminacy
(Dsi= f*l)
|
0
|
0
|
0
|
3
|
0
|
6
|
0
|
0
|
Static
Degree Of Indeterminacy
(Ds=Dse+Dsi)
|
-3
|
-1
|
0
(Statically
Determinate Structure)
|
3
|
0
(Statically
Determinate Structure)
|
6
(Statically
Indeterminate Structure)
|
1
(Statically
Indeterminate Structure)
|
-1
|
Kinematic
Degree Of Indeterminacy
(Dk= f*j-r)
|
6
|
4
|
3
|
15
|
3
|
18
|
2
|
4
|
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