F.Y. M. Tech. Mechanical (Design Engineering) (Semester
(New CBCS) Examination, 2018
advanced structural analysis
Day and Date Tuesday, 4-12-2018 Max. Marks 70
Time 10.00 a.m. to 1.00 p.m.
Instructions Solve any two questions from each Section.
Figures to the right indicate full marks.
Assume necessary suitable data, if required.
SECTION I
1. Explain the components of stress and strain with usual notations. 5
Derive equation of equilibrium in Cartesian coordinates for a plane stress
problem. 12
2. State and explain the Saint Venant's principle. 5
Investigate what problem is solved by the stress function φ. Where,
− applied to the region included by y 0 to y d and
x 0 to x l. 12
3. Write short note on the following (any three) 18
Shrink fit compound cylinders.
ii) Rayleigh Ritz method.
iii) Stresses induced in the rotating flat disk.
iv) Airy's stress function.
SECTION II
4. Explain soap film analogy. 5
Derive the expression for torque and angle of twist of prismatic bar of elliptical
cross section. 12
5. Explain the significance of shear center. 5
Locate a shear centre for a structural cross section as shown in Fig. I of
uniform thickness of 5 mm. 12
6. Write short note on the following (any three) 18
Contact stresses in ball bearing.
ii) Energy methods for analysis of stress.
iii) Castigliano's theorem.
iv) Membrane analogy.