STUPIDSID
1(a)
Differentiate the behavior of beam and an Arch. Find the reaction components for three hinged parabolic arch loaded as shown in figure
5 M
1(b)
List out the various energy theorems and principles related to the elastic structures. Explain any one of them.
5 M
1(c)
Explain the terms :
(i) Product of inertia
(ii) Unsymmetrical bending
(iii) Shear center
(i) Product of inertia
(ii) Unsymmetrical bending
(iii) Shear center
5 M
1(d)
Explain the function of each component of a suspension bridge consisting of suspension cable and three hinged stiffening grider. A symmetrical cable of of span 40m with central dip 5m is loaded with udl of 25 kN/m. Find the maximum and minimum tension in the cable.
5 M
1(e)
Define a conjugate beam. State Mohr's theorem I and II to determine displacement in a structure related to conjugate beam. Convert the following real beams in to the conjugate beams;
5 M
1(f)
Explain ILD and state its importance in structural analysis. Draw ILD for reactions, S.F and B.M for S.s beam.
5 M
2(a)
A three hinged circular arch of span 30 m with central rise of 6 m carries a concentrated point load of 10 kN at 10 m from left hinge. Calculate; Support reactions, Maximum positive and negative bending moment (Draw neat sketch). Also find Normal thrust and radial SF at left quarter point.
10 M
2(b)
A simply supported grider AB of span 30 m is traversed by a system of wheel load as shown in figure. Calculate;
(i) Maximum BM at section 'D' 10m away from the left support.
(ii) Location and magnitude of absolute maximum BM.
10 M
3(a)
For the plane frame as shown in figure. Draw free body diagram of each member and construct AFD, SFD and BMD.
13 M
3(b)
Using conjugate beam method find the vertical deflection at C and slope at B for the simply supported beam loaded as shown in figure.
7 M
4(a)
Using Macaulay's method, determine maximum deflection and slope at the supports. Take EI=Constant.
6 M
4(b)
Define strain energy. Write the expression for strain energy stored due to shear force, bending moment and twisting moment.
4 M
4(c)
Using unit load method or castigliano's second theorem, for the rigid jointed frame shown in fig. Calculate a horizontal displacement of roller support at D. Take E=200 Gpa. I=4 × 108 mm4
10 M
5(a)
A beam of rectangular cross section 80 × 120 mm is subjected to a uniformly distributed load of 10 kN/m. The plane of loading makes an angle of 30° with respect to y-y axis. If the span of beam is 6 m, locate the neutral axis and hence find the stresses at each corners of the beam.
7 M
5(b)
Using moment area method, determine the vertical deflection and slope at free end of the beam as shown in figure.
7 M
5(c)
A column of hollow circular section with external diameter 300 mm and thickness 50 mm is 4.5 m long. It is pinned at both the ends. The column carries a load of 180 kN at an eccentricity of 40 mm. Find out the stresses produced at extreme fibre of the column section. Take E=200 kN/mm2.
6 M
6(a)
Using unit load method or any other energy method, find the vertical deflection of joint C of a pin jointed truss loaded and supported as shown in fig. Take AE = Constant for all members.
8 M
6(b)
Draw ILD for axial force in members ED and EC of a deck type bridge truss as shown in figure.
8 M
6(c)
Prove that shear force (radial shear) at any section of symmetrical three hinged arch subjected to u.d.l over the entire span is zero.
4 M
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