B R3905 Pages: 2

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
THIRD SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2018

Course Code: ME201
Course Name: MECHANICS OF SOLIDS (ME,MP,MA,MT,AU,PE,SF)

Max. Marks: 100 Duration: 3 Hours
PART A
Answer any three full questions, each carries 10 marks Marks
1 a) Derive an equation for deformation of a uniformly tapering circular rod (5) subjected
to an axial load
b) A rod of length 1.5 m and diameter 30 mm is centrally bored for 500 mm (5)

length, the bore diameter being 10 mm. Under a load of 30 KN, if the extension of
rod is 0.2 mm, find the modulus of elasticity

2 A brass rod 25 mm diameter is enclosed in a steel tube of 50 mm external (10) diameter
and 25 mm internal diameter. The rod and tube are both initially 1.5 m long and are
rigidly fastened at both ends. Find the stress in two materials when temperature rises
from 30°C to 100°C. Modulus of elasticity for steel and brass are 200 kN/mm? and 100
kN/mm’ respectively. Coefficient of thermal
expansion for steel =11.6 x 10°C Coefficient of thermal expansion for brass =
18.75 10°PC

3 a) Find the modulus of rigidity & Bulk modulus of a circular rod of diameter (5) 20 mm
and length 2 m, if the longitudinal strain in the rod during a tensile stress is four times
the lateral strain. Take Modulus of Elas ticity = 2.1 x 10°

N/mm?
b) Draw the true stress-strain curve for a ductile material (5)
4 A composite shaft has an aluminium tube of external diameter 50 mm and (10) internal

diameter 40 mm closely fitted to a steel rod of 40 mm. If the permissible stress is 50
N/mm? in aluminium and 120 N/mm‘? in steel , find the maximum torque carrying
capacity of the compound bar.. Take Modulus of rigidity for aluminium and steel as 27
x 10° N/mm? and 80 x 107 N/mm? respectively
PART 8
Answer any three full questions, each carries 10 marks

5 A simply supported beam of total span 10 m carries point loads of 20 kN & 40 10)
KN at a distance of 1.5 m and 2.5 m respectively from left support. Also a

uniformly distributed load of 10 KN/m is acting over a length of 2 m starting
from left end. Draw the Shear Force and Bending moment Diagram

6 a) Derive the relation between load, shear force and bending moment (5) 9) Draw the
SF and BM diagram for a simply supported beam of total span 6 m (5)

subjected to a clockwise bending moment of 24 kN-m at a point 4 m from left
support.
7 A simply supported beam of total span 8 ന carries a central concentrated load (10)

Page 1 of 2