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STRENGTH OF MATERIAL I (New) ME 201 3rd Sem May 2k5
Max Marks 60
Note: Section A is compulsory. Attempt any Four questions from Section B and 2 from Section C.
Section A Marks 2 each
1. (a) What is complementary shear stress?
(b) What is a compound bar?
(c) What is a principal stress?
(d) What is point of contraflexure?
(e) What do you understand by the term equivalent moment of inertia?
(f) Why do we prefer hollow shafts to solid shafts for power transmission?
(g) Why is the determination of deflection important?
(h) What is a thin cylinder?
(i) What do you understand by slenderness ratio?
(j) Differentiate between slope and deflection.
Section B Marks 5 each
2. Derive the following relation between elastic constants:E = 2 C (1 + v)
3. Write a note on Mohr’s circle of stresses.
4. A rectangular beam 100 mm deep,50 mm wide and 1.5 m long is simply supported at its ends. Vertical loads of k kN each are applied at 0.5 m and 1 m from one end. Determine and plot the distribution of longitudinal stress across the section at mid-span.
5. Derive the torsion equation for a circular shaft from the first principle. State te assumptions made.
6. a steel column 50 mm diameter is pin jointed at both ends. If E = 200 GPa and yield stress sigmao = 3-- <{a for steel, calculate the length of the column for which the failure by yielding and buckling by Euler’s formula is equally likely, when the column is subjected to axial compression.Section C Marks 10 each
7. Draw the S.F. and B.M. diagram for a cantilever of length L carrying a uniformly distributed load of W per m length over its entire length.
8. A cylindrical thin drum 80 cm in diameter and 3 m long has a shell thickness of 1 cm. If the drum is subjected to an internal pressure of 2.5 N/mm2, determine the change id diameter, length and volume.Take E = 2 x 105 N/mm2, Poisson’s ratio = 0.25.
9. Explain how Rankine-Gordon’s formula is used to calculate the intensity of stress in short , intermediate and long columns.
Tuesday, January 8, 2008
STRENGTH OF MATERIAL PAPER
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