STUPIDSID
Attempt any FOUR of the following
1 (a)
Enlist various methods for finding deflection in structures. Also state the suitability of each method.
5 M
1 (b)
State and explain Maxwell's Reciprocal theorem and Betti's theorem.
5 M
1 (c)
Explain unsymmetrical bending and the concept of shear center in brief.
5 M
1 (d)
A symmetrical cable of span 80m with central dip 12m is loaded with udl of 20kN/m. Find the maximum and minimum tension in the cable.
5 M
1 (e)
Define strain energy. Write the expression of strain energy stored due to shear force, bending moment and twisting moment.
5 M
2 (a)
Using Conjugate beam method, find the vertical deflection at C and slope at B for the simply supported beam as shown in figure.
8 M
2 (b)
A three hinged symmetrical parabolic arch is loaded as shown in figure. Calculate:
i) Support reaction
ii) Maximum bending moment in the portion AC and BC (Draw neat sketch)
iii) Normal thrust and radial SF at D.
i) Support reaction
ii) Maximum bending moment in the portion AC and BC (Draw neat sketch)
iii) Normal thrust and radial SF at D.
12 M
3 (a)
Analyse the frame as shown in fig. Draw free body diagram of each member and construct AFD,SFD and BMD
13 M
3 (b)
A column of hollow circular section with external diameter 300 mm and thickness 40mm is 4m long. It is pinned at both the ends. The columns carries a load of 100kN at an eccentricity of 40 mm, find out the stresses produced at extreme fibre of the column section. Take E=200GPa.
7 M
4 (a)
The cables of suspension bride have span of 60 m and a central dip of 7.5m. Each cable is stiffened by a girder hinged at the ends and also at the middle so as to retain a parabolic shape of the cables. The girder is subjected to a load of 10kN/m and live load of 20kN/m, 15m long. Find the maximum tension in the cable when the leading edge of the live load (udl) is just at the center of the girder. Also draw S.F and B.M diagram for the girder.
12 M
4 (b)
A series of concentrated load traverses on a simply supported beam as shown in fig. Calculate absolute maximum bending moment in the beam.
8 M
5 (a)
Using unit load method or Castiglianos second theorem, for the rigid jointed frame shown in fig. Calculate a horizontal displacement of roller support at D. Take E=200GPa, I=4×108mm4
10 M
5 (b)
Using unit load method or any other energy method, find the vertical deflection of joint C of a pin jointed loaded and supported as shown in fig. Take AE=Constant all members.
10 M
6 (a)
Using Macaulay's method determine maximum deflection and slope at A and B. Take EI=Constant.
6 M
6 (b)
A beam of rectangular cross section 100mm wide and 150 mm deep is subjected to bending moment of 15kN.m in the plane as shown in fig. Find the stresses at each corners of the beam.
7 M
6 (c)
Using moment area method. Determine the vertical deflection and slope at free end of the beam as a shown in figure.
7 M
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