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Reg. No. Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER B.TECH DEGREE EXAMINATION, JANUARY 2017 Course

Code: CE201
Course Name: MECHANICS OF SOLIDS (CE)
Max. Marks: 100 Duration: 3 Hours

PART A

(Answer any two questions)

1. (a) Draw and explain the stress strain diagram for mild steel (7.5)
(b) Derive the expression for elongation of a tapering circular section subjected to
axial load (7.5)

2. Derive all the relations between elastic constants (15)

3. (a) A copper rod 25 mm in diameter is encased in a steel tube 30 mm internal
diameter and 35 mm external diameter. The ends are rigidly attached. The composite
bar is 500 mm long and is subjected to an axial pull of 30 KN. Find the stresses
induced in the rod and the tube. Take E for steel as 2x 10 ¬ N/mm? and E for copper
as 1 x 10° N/mm’. (10)

(b) The rails of a railway line is laid so that there is no stress in the rails at 10 °C,
Calculate the stress in the rails at 60 °C if there is an expansion allowance of 10 mm

per rail. (5)

PART 8
(Answer any two questions)

4. (a) Draw the BMD and SFD for a cantilever beam subjected to central concentrated
load. (7.5)

(0) Draw the BMD and SFD for a simply supported beam with udl over entire span.
(7.5)

(a)
A rectangular timber joist of 6 m span has to carry a load of 15 kN/m. Find the dimensions of the
joist if the maximum permissible stress is limited to 8 N/mm?. The

depth of the joist has to be twice the width. (7.5)

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