GTU Civil Engineering (Semester 4)
Structural Analysis - 2
December 2014
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Explain following terms in respect of moment distribution (i) Distribution factor (ii) Carry over factor.
7 M
1 (b) Determine end moments for frame loaded as shown in fig. (i) using moment distribution method. Take EI = constant for all members.

7 M

2 (a) Determine fixed end moments for the fixed beam loaded as shown in fig. (ii). Take EI = constant.

7 M
2 (b) Determine horizontal and vertical displacements of point C for the frame loaded as shown in fig. (iii) using unit load method. Take EI = Constant

7 M
2 (c) Find deflection and slope at the free end C for the frame loaded as shown in fig. (iii). Take EI = Constant.

7 M

3 (a) Determine support reactions and plot SFD and BMD for the continuous beam ABC loaded as shown in fig. (iv), using theorem of three moments.

7 M
3 (b) Determine end moments for the beam ABC loaded as shown in fig. (v) using slope deflection method. Take EI = Constant.

7 M
3 (c) Determine support reaction s for the propped cantilever beam loaded as shown in fig. (vi), using consistent deformation method.

7 M
3 (d) Determine end moments for the beam ABC loaded as shown in fig. (v) using moment distribution method.

7 M

4 (a) Determine rotation factors at joints B and C for the frame shown in fig. (i)

7 M
4 (b) Analyze and draw BMD for the frame ABC loaded as shown in fig. (vii) using theorem of least work.

7 M
4 (c) Formulate only slope deflection equations in terms of fixed end moments, unknown rotations and unknown displacements for the beam ABC shown in fig. (iv)

7 M
4 (d) Determine final end moments for the frame loaded as shown in fig. (viii) using Kani's method. Take EI = constant for all members.

7 M

5 (a) Discuss the advantages and disadvantages of post tensioning as compare to pre tensioning for pre-stressed concrete members.
7 M
5 (b) A concrete beam pre-stressed with a parabolic tendon loaded as shown in fig (ix). The pre-stresing force in steel is 1500 kN. The beam is loaded with uniformly distributed load including self weight of 30 kN/m. Compute the extreme fiber stresses at the mid span of the beam at transfer and after application of live load. Also plot stress distribution diagram at mid span of beam.

7 M
5 (c) Justify the need of high strength steel and concrete in pre-stressed concrete members.
7 M
5 (d) Plot influence line for vertical reaction at support A for the two span continuous beam shown in fig.(x) Compute ordinate at every 1 m interval. Also plot qualitative ILD for reaction at B and C.

7 M



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