MU Civil Engineering (Semester 4)
Structural Analysis - 1
May 2015
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) In three hinged parabolic arch subjected to UDL over entire span, shown that bending moment & radial shear any section is zero.
5 M
1 (b) Find the strain energy stored due to bending in cantilever beam subjected to UDL of intensity w kN/m over entire span.
5 M
1 (c) Define influence line diagram and give its application in civil engineering. Draw ILD for Reaction , S.F and B.M for simply supported beam.
5 M
1 (d) A symmetrical cable of span 50 m and central dip of 5 m subjected to udl of intensity 20kN/m. Find maximum and minimum tension in the cable.
5 M
1 (e) Use Macaulay's method determine maximum deflection and slope at supports for the beam loaded as shown in fig

5 M

2 (a) An unsymmetrical three hinged parabolic arch is loaded as shown in fig. Determine :support reaction, BM,NT and RSF at 5m from left support. Also find maximum bending moment in left part and right part.

13 M
2 (b) State and explain Maxwell's Reciprocal theorem and Betti's theorem.
4 M
2 (c) State Moment Area Ist and IInd theorem.
3 M

3 (a) Draw neat sketch of cable and suspension bridge. Show all the component of suspension bridge and explain what types of internal force developed in each component. Also explain different types of cable supports.
8 M
3 (b) Draw AFD, SFD and BMD for the frame loaded as shown in fig

12 M

4 (a) A simply supported girder of span 50m is traversed by a series of wheel loads 160kN,200kN, 180kN and 140kN spaced at distance 2m, 1.5m and 1m respectively. The load system moves from left to right with 140kN load leading. Find the location and magnitude of absolute maximum bending moment anywhere in the girder.
8 M
4 (b) Determine principle moment of interia for the section as shown in fig. Also locate principle axes.

6 M
4 (c) Draw I.L.D for members 4,5 and 6 of the truss as shown in fig. Assume that load moves along the bottom chord.

6 M

5 (a) Find the maximum and minimum stresses developed at the base of a column loaded as shown in fig. Also draw stress distribution. Take E=2×105N/mm2

7 M
5 (b) Determine the maximum deflection of the cantilever beam by Moment area method in terms of EI.

6 M
5 (c) Using Conjugate beam method, find the vertical deflection at D and slope at A for the S.S beam loaded as shown in fig in terms of EI..

7 M

Attempt any ONE of the following
6 (a) (i) Find the vertical deflection in the frame as shown in fig by Unit Load Method or any other Energy Method at point C.(EI=Constant)

8 M
6 (a) (ii) Using Unit Load Method or Castiglianos second theorem, for the rigid jointed frame shown in fig. Find horizontal displacement of roller support.
Take E=210×103N/mm2, I=2×108mm4

8 M
6 (b) Explain Concept of shear centre in brief. Determine shear center for a C section as shown in Fig.

6 M
6 (c) A simply supported beam of triangular section, 150mm base width and 200 mm height, supports a concentrated load of 5kN at centre of span of 3m. The plane of loading is inclined at an angle of 30° to the vertical plane of symmetry. Find out the bending stress at each of the corner points of the cross section.
6 M



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