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11
For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal
(i) Of a stiffness matrix must be positive
(ii) Of a stiffness matrix must be negative
(iii) Of a flexibility matrix must be positive
(iv) Of a flexibility matrix must be negative
The correct answer is
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Answer & Solution
Answer: Option A
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12
Study the following statements.
i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.
ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.
iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.
iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.
The correct answer is
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Answer & Solution
Answer: Option D
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13
Muller Breslau’s principle for obtaining influence lines is applicable to
i) trusses
ii) statically determinate beams and frames
iii) statically indeterminate structures, the material of which is elastic and follows Hooke’s law
iv) any statically indeterminate structure
The correct answer is
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Answer & Solution
Answer: Option A
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14
In the slope deflection equations, the deformations are considered to be caused by
i) bending moment
ii) shear force
iii) axial force
The correct answer is
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Answer & Solution
Answer: Option A
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15
Select the correct statement
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Answer & Solution
Answer: Option C
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16
A simply supported beam deflects by 5 mm when it is subjected to a concentrated load of 10 kN at its centre. What will be deflection in a 1/10 model of the beam if the model is subjected to a 1 kN load at its centre ?
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Answer & Solution
Answer: Option A
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17
The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in
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Answer & Solution
Answer: Option D
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18
Independent displacement components at each joint of a rigid-jointed plane frame are
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Answer & Solution
Answer: Option B
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19
The thickness of the rectangular plate for the cap or base of a solid round steel columns, is calculated from the formula
$${\text{t}} = \sqrt {\frac{{9{\text{W}}}}{{16{{\text{f}}_{{\text{bct}}}}}} \times \frac{{\text{D}}}{{{\text{D}} - {\text{d}}}}} $$     where 'd' is
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Answer & Solution
Answer: Option A
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20
While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of
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Answer & Solution
Answer: Option A
Solution:
The three-moment equation is used for the analysis of continuous beams. When one end of a continuous beam is fixed, an imaginary or fictitious span is introduced beyond the fixed end so that the three-moment equation can be applied.

For a fixed end, this additional imaginary span is assumed to have zero length. This allows the fixed-end condition of zero rotation (zero slope) to be incorporated into the three-moment equation.

Option A: Zero length
Correct. A fixed end is represented by an imaginary span of zero length when applying the three-moment equation.

Option B: Infinite length
Incorrect. An infinite-length span is not used to represent a fixed end in the three-moment equation.

Option C: Zero moment of inertia
Incorrect. Zero moment of inertia would imply zero flexural stiffness and does not represent a fixed-end condition.

Option D: None of the above
Incorrect because Option A correctly represents the fixed end.

Hence, Option A — Zero length is the correct answer.