SPPU Civil Engineering (Semester 5)
Structural Analysis 2
December 2016
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) For the structures shown, determine-
i) Static indeterminacy (indicating clearly external & internal)
ii) Kinematic indeterminacy ( neglecting axial deformation in flexural members) show clearly the joint displacement
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6 M
1(b) Compute the slope at support 'A' of the rigid joined frame shown in figure due to temperature variation as indicated.Take α =12×10-6 1°C and depth of each member = 600 mm. Consider the effect of axial deformation.
!mage
8 M
1(c) Develop the flexibility matrix OR stiffness matrix for the non- prismatic beam w.r.t coordinate 1 and 2 as indicated.
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6 M

2 Analyse the continous beam loaded as shown using Moment Distribution Method OR Clapeyron's Theorem of three moments. Also draw SFD,
BMD and deflected shape of the beam.
!mage
20 M

3 A rigid joined plane frame loaded as shown in figure . Analyse this frame using stiffness method OR slope-deflection method. Also draw BMD and deflected shape of the frame.
!mage
20 M

4 Using flexibility method, analyse the frame loaded and supported as shown in figure. Also draw BMD and deflected shape.
!mage
20 M

5(a) Define the terms. (i) shape factor
(ii) Load factor
(iii) plastic hinge OR (a) state & explain theorem of least work.
4 M
5(b) Find the shape factor for the beam of box section as shown. Assume wall thickness =50 mm throughout.
!mage
6 M
5(c) A continuous beam subjected to loading at collapse as shown. Determine the plastic moment capacity 'M' of the beam
!mage
10 M

6(a) Using Force Method, analyse the pin jointed plane frame loaded as shown in figure. Take AE= Constant for all members.
!mage
10 M
6(b) A three hinged symmetrical parabolic arch of span 30 and central rise 5 m is subjected to udl of 30 kN/m over right half portion of the arch. It also carries a point load of 40 KN at the crown position. Find support reactions and drraw BMD for the arch, indicating clearly the position & magnitude of maximum +ve and -ve bending moment.
10 M



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