## For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal________________?

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

A. (i) and (iii)
B. (ii) and (iii)
C. (i) and (iv)
D. (ii) and (iv)

## To generate the j the column of the flexibility matrix________________?

To generate the j the column of the flexibility matrix________________?

A. a unit force is applied at coordinate j and the displacements are calculated at all coordinates
B. a unit displacement is applied at co-ordinate j and the forces are calculated at all coordinates
C. a unit force is applied at coordinate j and the forces are calculated at all coordinates
D. a unit displacement is applied at co-ordinate j and the displacements are calculated at all co-ordinates

## In the slope deflection equations, the deformations are considered to be caused by________________?

In the slope deflection equations, the deformations are considered to be caused by________________?

i) bending moment
ii) shear force
iii) axial force

A. only (i)
B. (i)and(ii)
C. (ii) and (iii)
D. (i), (ii) and (iii)

## The number of independent equations to be satisfied for static equilibrium of a plane structure is__________________?

The number of independent equations to be satisfied for static equilibrium of a plane structure is__________________?

A. 1
B. 2
C. 3
D. 6

## 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__________________?

If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a -jointed plane frame is given by__________________?

A. m + r + 2j
B. m – r + 2j
C. m + r – 2j
D. m + r – 3j

## Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is__________________?

Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is__________________?

A. 2
B. 3
C. 6
D. 8

## Independent displacement components at each joint of a rigid-jointed plane frame are_________________?

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

A. three linear movements
B. two linear movements and one rotation
C. one linear movement and two rotations
D. three rotations

## A pin-jointed plane frame is unstable if________________?

A -jointed plane frame is unstable if________________?

A. (m + r)<2j
B. m + r = 2j
C. (m + r)>2j
D. none of the above
where m is number of members, r is reaction components and j is number of joints

## The number of independent equations to be satisfied for static equilibrium in a space structure is___________________?

The number of independent equations to be satisfied for static equilibrium in a space structure is___________________?

A. 2
B. 3
C. 4
D. 6

## The degree of static indeterminacy of a rigid-jointed space frame is_________________?

The degree of static indeterminacy of a rigid-jointed space frame is_________________?

A. m + r – 2j
B. m + r – 3j
C. 3m + r – 3j
D. 6m + r – 6j
where m, r and j have their usual meanings