Past Year Questions: Determinacy and Indeterminacy

# Past Year Questions: Determinacy and Indeterminacy | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) PDF Download

Q.1. The degree of static indeterminacy of the plane frame as shown in the figure is______
[2019: 1 Mark, Set-II]

Solution.
Dse = 7-3 = 4
Dsi = (3 x 4)-(2--1)= 11
Ds = 15

Q.2.  Consider the frame shown in the figure

If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematic indeterminacy would be equal to    [2017: 1 Mark, Set-II]
(a) 5
(b) 6
(c) 7
(d) 8
Ans.
(b)
Solution.
DOF of Joints:

When all members are extensible,

Dk (when extensible) = 14
Dk(when inextensible) = Dk (when extensible) - No. of axially rigid member
= 14 - 6 = 8
So, reduction in

Note : Shear deformation is not considered in calculation of DK.

Q.3. A planar truss tower structure is shown in the figure.

Consider the following statements about the external and internal determinacies of the truss.
P. Externally Determinate
Q. External Static indeterminacy = 1
R. External Static Indeterminacy = 2
S. Internally Determinate
T. Internal Static Indeterminacy = 1
U. Internal Static Indeterminacy = 2
Which one of the following options is correct?    [2017: 2 Marks, Set-I]
(a) P-False; Q-True; R-False; S-False; T-False; U-True
(b) P-False; Q-True; R-False; S-False; T-True; U-False
(c) P-False; Q-False; R-True; S-False; T-False; U-True
(d) P-True; Q-True; R-False; S-True; T-False; U-True
Ans.
(a)
Solution. Dse= re - 3 - s = 4 - 3 = 1
Dsi = m -(2j - 3) = 15 - (2 x 8 - 3)
= 2
Trick : For a truss formed due to combination of simple triangles.
Dsi = No. of double diagonal panels = 2
Dse = R - 3 = 4 - 3 = 1

Question for Past Year Questions: Determinacy and Indeterminacy
Try yourself:The kinematic indeterminacy of the plane truss shown in the figure is
[2016: 1 Mark, Set-II]

Question for Past Year Questions: Determinacy and Indeterminacy
Try yourself:A guided support, as shown in the figure below, is represented by three springs (horizontal, vertical and rotational) with stiffness kx, ky and ke respectively. The limiting values of kx, ky and ke are   [2015: 1 Mark, Set-II]

Question for Past Year Questions: Determinacy and Indeterminacy
Try yourself:The static in determinacy of the two-span continuous beam with an internal hinge, shown below, is ____________.    [2014: 1 Mark, Set-II]

Question for Past Year Questions: Determinacy and Indeterminacy
Try yourself:The degree of static indeterminacy of a rigid jointed frame PQR supported as shown in figure is    [2014: 1 Mark, Set-I]

The document Past Year Questions: Determinacy and Indeterminacy | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Topic wise GATE Past Year Papers for Civil Engineering.
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## FAQs on Past Year Questions: Determinacy and Indeterminacy - Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)

 1. What is determinacy and indeterminacy?
Determinacy refers to the state of being able to determine or predict the outcome of a situation with certainty. Indeterminacy, on the other hand, refers to the state of being uncertain or unpredictable.
 2. How does determinacy and indeterminacy relate to decision-making?
Determinacy and indeterminacy play a crucial role in decision-making. When a situation is determined, it means that the outcome can be accurately predicted, allowing for more informed decision-making. On the other hand, when a situation is indeterminate, it becomes more challenging to make decisions as the outcome is uncertain.
 3. Can determinacy and indeterminacy coexist in a single situation?
Yes, determinacy and indeterminacy can coexist in a single situation. Some aspects of a situation may be determined, while others may be indeterminate. For example, in financial markets, certain factors such as interest rates may be determined, while the behavior of individual investors may be indeterminate.
 4. What factors can contribute to indeterminacy in a situation?
Several factors can contribute to indeterminacy in a situation. These include complex and chaotic systems, incomplete or unreliable information, the influence of human behavior and emotions, and the presence of random or unpredictable events.
 5. How can one cope with indeterminacy in decision-making?
Coping with indeterminacy in decision-making requires adopting certain strategies. These may include gathering as much relevant information as possible, considering multiple scenarios and potential outcomes, using probabilistic models or statistical analysis to assess risks, seeking expert opinions, and being adaptable and flexible in the decision-making process.

## Topic wise GATE Past Year Papers for Civil Engineering

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