UNIT IV

1. Distinguish between Sway and Non – sway type problems?[M/J-15]

Because of sway, there will be rotations in the vertical members of a frame. This causes

moments in the vertical members. To account for this, besides the equilibrium, one more equation

namely shear equation connecting the joint-moments is used.

2. Write the advantages of slope deflection method. [M/J-15]

a. It can be used to analyze statically determinate and indeterminate beams and frames.

b. In this method it is assumed that all deformations are due to bending only.

c. In other words deformations due to axial forces are neglected.

d. The slope-deflection equations are not that lengthy in comparison.

3. State the assumptions made in slope deflection method for the analysis of

indeterminate structures. [ A/M -12, Nov/D -13 ] [M/J-16]

e. Between each pair of the supports the beam section is constant.

f. The joint in structure may rotate or deflect as a whole, but the angles between

the members meeting at that joint remain the same.

4. Write the support reactions induced in a fixed beam when one of its supports sinks. [M/J-16]

5. Write the generalized form of slope – deflection equation with necessary

explanation.[N/D-16]

Where, MAB, MBA = fixed end moments at A and B due to given loading.

θA, θB = slopes at A and B.

= Sinking of support A with respect to B.

6. A propped cantilever of span 6 m is subjected to a uniformly distributed load of 6 kN/m over the entire span. Using slope deflection method, determine the slope at B. Take the flexural rigidity EI as 9000 kN/m2. [N/D-16]

Unknowns are A, B and C

Equilibrium equations used:

(i) MAB = 0

(ii) MBA + MBC = 0

(iii) MCB = 0

7. What are the assumptions made in slope-deflection method?

[A/M- 12, N/D – 13]

i) Between each pair of the supports the beam section is constant.

ii) The joint in structure may rotate or deflect as a whole, but the angles between the

members meeting at that joint remain the same.

8. What is the limitation of slope-deflection equations applied in structural analysis? [A/M – 12]

5. It is not easy to account for varying member sections.

6. It becomes very cumbersome when the unknown displacements are large in number.

9. Mention the causes for sway in portal frames. [N/D - 2012, M/J – 14]

Because of sway, there will be rotations in the vertical members of a frame. This causes

moments in the vertical members. To account for this, besides the equilibrium, one more

equation namely shear equation connecting the joint-moments is used.

10. Explain the use of slope deflection method. [N/D – 12]

i) It can be used to analyze statically determinate and indeterminate beams and frames.

ii) In this method it is assumed that all deformations are due to bending only.

iii) In other words deformations due to axial forces are neglected.

iv) The slope-deflection equations are not that lengthy in comparison.

1. (a) A continuous beam ABCD consists of three span and is loaded as shown in Fig. Q. No. 14(a). Analyze the beam by using slope deflection method.

[M/J-15,M/J-10,N/D-13]

2. (b)Analyze the structures shown in Fig. Q. No. 14(b) by the slope deflection method. Sketch the

bending moment aba shear force diagrams.

[M/J-15]

3. (a)A continuous beam ABC is fixed at A and simply supported at B and C. The span AB is 5 m and carries a concentrated load of 80 kN at its mid-span and the span BC is 8 m and carries a uniformly distributed load of 12 kN/m. Take the flexural rigidity for portion AB as EI and that for portion BC as 2EI. Analyze the beam by slope deflection method and draw the shearing force and bending moment diagrams. [M/J-16,N/D-12,A/M-10]

4. (b)Analyze the portal frame shown in fig Q.14(b) slope deflection method and draw the bending moment diagram.

[M/J-16,N/D-13,A/M-14]

5. (a) A continuous beam ABC is simply supported at A, fixed at C and continuous over support B. The span AB is 6 m and carries a concentrated load of 60 kN at its mid-span and the span BC is 8 m and carries a uniformly-distributed load of 10 kN/m. Take the flexural rigidity for portion AB as 2EI and that for portion BV as EI. Analyze the beam by slope deflection method and draw the shearing force and bending moment diagrams. [N/D-16]

6. (b)Analyze the portal frame shown in Fig. Q.14 (b) by slope deflection method and draw the bending moment diagram.

[N/D-16,A/M-14]

7.Analyze the continuous beam ABC shown in figure by slope deflection method and

sketchthe bending moment diagram. Take EI = constant. (AUC Apr/May 2012)