Punjab Technical University 2005 M.E STRENGTH OF MATERIAL - Question Paper

STRENGTH OF MATERIAL I (New) ME 201 third Sem May
Max Marks 60

Note: part A is compulsory. Attempt any 4 ques. from part B and two from part C.
part A Marks two every
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 ranging from slope and deflection.

part B Marks five every
2. Derive the subsequent relation ranging from elastic constants:E = two 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 every are applied at 0.5 m and one m from 1 end. Determine and plot the distribution of longitudinal stress across the part at mid-span.

5. Derive the torsion formula for a circular shaft from the 1st 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, compute 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 every

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 three m long has a shell thickness of one cm. If the drum is subjected to an internal pressure of 2.5 N/mm2, determine the change id diameter, length and quantity.Take E = two x 105 N/mm2, Poisson’s ratio = 0.25.

9. discuss how Rankine-Gordon’s formula is used to compute the intensity of stress in short , intermediate and long columns.

Earning:   Approval pending.