STUPIDSID
1 (a)
Define plastic hinge and discuss assumptions made in plastic analysis of structure.
7 M
1 (b) i
Write stiffness matrix for the frame shown in fig. 1 considering axial deformation.
4 M
1 (b) ii
Write the stiffness matrix for the beam shown in fig. 2.
3 M
2 (a)
Determine shape factor for a T-section, having web 10 × 90 mm and flange 100 × 10mm
7 M
2 (b)
A semicircular beam fixed at both ends of 10 m radius is subjected to concentrated load of 100 kN at its center. Determine shear force, bending moment and torsional moment
at θ = 30° , 60° and 120°
7 M
2 (c)
A beam circular in plan has radius of 6 m is supported on 8 columns, spaced equally on the circumference. It is loaded by uniformly distributed load of 25 kN/m, calculate
twisting moment and bending moment at support and mid span. Also find maximum
twisting moment.
7 M
3 (a)
Analyse the frame shown in fig. 3 using flexibility method. Draw shear force and bending moment diagram.
14 M
3 (b)
Analyse the beam shown in fig. 4 using stiffness method. Draw shear force and bending moment diagram.
14 M
4 (a)
Determine the collapse load for the fixed beam shown in fig. 5 in which plastic moment capacity is 2Mp in half length and Mp in other half length of beam.
7 M
4 (b)
Derive an expression of shear force and bending moment at support for a circular beam
supported symmetrically.
7 M
4 (c)
Define Dome. Derive an expression for meridional thrust and hoop stress for spherical
dome subjected to uniformly distributed load.
14 M
5 (a)
A conical dome of 12 m diameter with a central rise of 3.5 m supports total uniformly distributed load of 5 kN/m2 , over the surface inclusive of self weight, calculate meridional thrust and hoop stress and ring beam level. Consider thickness of dome 120 mm.
7 M
5 (b)
A quarter circular beam of radius R curved in plan is fixed at one end and free at other
end. It carries vertical load P at its free end. Determine the deflection at free end and
sketch shear force, bending moment and twisting moment diagrams. Take EI = GJ.
7 M
5 (c)
Draw different released structures, for the structures shown in fig. 6 (i to iii) and give the redundant
(i)
(ii)
(iii)
7 M
5 (d)
Find the plastic modulus of triangular section of height 'h' and base width 'b'.
7 M
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