### Structural Analysis

1. A load 'W T 'W' is moving from left to right support on a simply supported beam of span 'T'. The maximum bending moment at 0.4 1 from the left support is

1. 0.16 WL
2. 0.20 WL
3. 0.24 WL
4. 0.25 WL

0.24 WL

2. A pin-jointed plane frame is unstable if

1. (m + r) < 2j
2. (m + r) = 2j
3. (m + r) > 2j
4. None of the above
Where m is number of members, r is reaction components and j is number of joints

(m + r) < 2j

3. A rigid-jointed plane frame is stable and statically determinate if

1. (m + r) = 2j
2. (m + r) = 3j
3. (3m + r) = 3j
4. (m + 3r) = 3j
Where m is number of members, r is reaction components and j is number of joints

(3m + r) = 3j

4. 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?

1. 5 mm
2. 0.5 mm
3. 0.05 mm
4. 0.005 mm

5 mm

5. A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be

1. 8 kN.m
2. 15 kN.m
3. 30 kN.m
4. 60 kN.m

30 kN.m

6. Bending moment at any section in a conjugate beam gives in the actual beam

1. Slope
2. Curvature
3. Deflection
4. Bending moment

Deflection

7. Castigliano's first theorem is applicable

1. For statically determinate structures only
2. When the system behaves elastically
3. Only when principle of superposition is valid
4. None of the above

Only when principle of superposition is valid

8. Consider the following statements:
Sinking of an intermediate support of a continuous beam
1. Reduces the negative moment at support.
2. Increases the negative moment at support.
3. Reduces the positive moment at support.
4. Increases the positive moment at the centre of span.
Of these statements

1. 1 and 4 are correct
2. 1 and 3 are correct
3. 2 and 3 are correct
4. 2 and 4 are correct

1 and 4 are correct

9. Degree of kinematic indeterminacy of a pin-jointed plane frame is given by

1. 2j - r
2. j - 2r
3. 3j - r
4. 2j + r