## Answer & Solution

**Option A**

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

(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

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

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

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

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

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

i) bending moment

ii) shear force

iii) axial force

The correct answer is

15.

Select the correct statement

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 ?

17.

The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in

18.

Independent displacement components at each joint of a rigid-jointed plane frame are

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

$${\text{t}} = \sqrt {\frac{{9{\text{W}}}}{{16{{\text{f}}_{{\text{bct}}}}}} \times \frac{{\text{D}}}{{{\text{D}} - {\text{d}}}}} $$ where 'd' is

20.

While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of