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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Test  >  GATE 2027 Mock Test Series  >  Test: Determinacy & Indeterminacy -1 - Civil Engineering (CE) MCQ

GATE Civil Engineering (CE) 2027 Test: Determinacy & Indeterminacy -1 Free


MCQ Practice Test & Solutions: Test: Determinacy & Indeterminacy -1 (10 Questions)

You can prepare effectively for Civil Engineering (CE) GATE Civil Engineering (CE) 2027 Mock Test Series with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Determinacy & Indeterminacy -1". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Determinacy & Indeterminacy -1 - Question 1
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Total degree of indeterminacy (both internal and external) of the plane frame shown in the given figure is

Detailed Solution: Question 1

The degree of indeterminacy,

Number of external reactions = re
= 3 + 3 + 3 + 3 = 12
Number of rigid joints,
j= 10
Number of joints at which releases are located, 
j= 1
Number of members, 
m = 12
As the hinge is located at a point where 4 members meet. Hence it is equivalent to three hinges.
Therefore number of releases, rr = 3.

Test: Determinacy & Indeterminacy -1 - Question 2
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If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by​

Detailed Solution: Question 2

Ds for a pin jointed frame = m+r-2j
Ds for a rigid jointed frame = 3m+r -3j
m- No. of members, r- no. of reactions, j- no. of joints

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Test: Determinacy & Indeterminacy -1 - Question 3
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Degree of kinematic indeterminacy of a pin jointed plane frame is given by where j is number of joints and r is reaction components.

Detailed Solution: Question 3

Dk = 2j –r for a pin jointed frame
Dk = 3j –r for a rigid jointed frame
j number of joints and r number of reactions.

Test: Determinacy & Indeterminacy -1 - Question 4
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A pin-jointed plane frame is unstable if where m is number of members r is reaction components and j is number of joints

Test: Determinacy & Indeterminacy -1 - Question 5
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The degree of static indeterminacy of a pin- jointed space frame is given by

Test: Determinacy & Indeterminacy -1 - Question 6
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The degree of kinematic indeterminacy of a pin-jointed space frame is given by

Detailed Solution: Question 6

- Kinematic indeterminacy refers to the number of possible independent movements of a structure.
- For a pin-jointed space frame, each joint has 3 degrees of freedom (translations in x, y, and z directions).
- Formula: (3j - r), where (j) is the number of joints and (r) is the number of reaction components or constraints.
- This formula accounts for the three-dimensional nature of space frames, unlike planar frames, which have 2 degrees of freedom per joint.

Test: Determinacy & Indeterminacy -1 - Question 7
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The degree of static indeterminacy of the pin- jointed plane frame shown in figure is

Detailed Solution: Question 7

External indeterminacy,

Internal indeterminacy,

No, of members, m = 21
Number of joints, j = 11

Test: Determinacy & Indeterminacy -1 - Question 8
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The portal frame as shown in the given frame is statically indeterminate to the

Detailed Solution: Question 8

m=3; r= 3+3 =6 ; j=4
Ds = 3m+r-3j = 3(3) + 6 -3(4) = 3

Test: Determinacy & Indeterminacy -1 - Question 9
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A perfect plane frame having n number of members and j number of joints should satisfy the relation​

Detailed Solution: Question 9

A perfect plane frame means a determinate structure, so

Test: Determinacy & Indeterminacy -1 - Question 10
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Neglecting axial deformation, the kinematic indeterminacy of the structure shown in the figure below is

Detailed Solution: Question 10

j = 11; r=8; m=11
Dk = 3j-r-no. of inextensible members = 3(11) – 8 -11 = 14

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About this Civil Engineering (CE) Practice Test

This test contains 10 MCQs on Determinacy & Indeterminacy -1 with detailed solutions for each question. It is part of the GATE Civil Engineering (CE) 2027 Mock Test Series course on EduRev, designed to align with the current Civil Engineering (CE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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