1 (a)
Explain following terms in respect of moment distribution (i) Distribution factor (ii) Carry over factor.
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1 (b)
Determine end moments for frame loaded as shown in fig. (i) using moment distribution method. Take EI = constant for all members.
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2 (a)
Determine fixed end moments for the fixed beam loaded as shown in fig. (ii). Take EI = constant.
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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
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2 (c)
Find deflection and slope at the free end C for the frame loaded as shown in fig.
(iii). Take EI = Constant.
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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.
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3 (b)
Determine end moments for the beam ABC loaded as shown in fig. (v) using slope deflection method. Take EI = Constant.
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3 (c)
Determine support reaction s for the propped cantilever beam loaded as shown in fig. (vi), using consistent deformation method.
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3 (d)
Determine end moments for the beam ABC loaded as shown in fig. (v) using
moment distribution method.
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4 (a)
Determine rotation factors at joints B and C for the frame shown in fig. (i)
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4 (b)
Analyze and draw BMD for the frame ABC loaded as shown in fig. (vii) using theorem of least work.
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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)
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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.
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5 (a)
Discuss the advantages and disadvantages of post tensioning as compare to pre
tensioning for pre-stressed concrete members.
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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.
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5 (c)
Justify the need of high strength steel and concrete in pre-stressed concrete members.
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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.
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