B B3808 Pages: 2

Reg No.: Name:

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

Course Code: CE201
Course Name: MECHANICS OF SOLIDS (CE)

Max. Marks: 100 Duration: 3 Hours
PART A
Answer any two full questions, each carries 15 marks Marks
1 93) Differentiate normal and shear stress with an example. (5)
b) Define elastic constants. Derive any one relation between them. (10)
2 9) Derive the expression for elongation of a bar due to its own weight. (5)

b) A bar of 20 mm diameter is subjected to a pull of 50 KN. The measured extension (6) on
gauge length of 250 mm is 0.12 mm and change in diameter is 0.00375 mm.
Calculate:
1) Young’s modulus 14) Poisson’s ratio 111) Bulk modulus
c) Asteel rod tapers uniformly from 20 cm diameter at one end to 5 cm diameter at (4) the
other in a length of 75 cm. How much will it stretch under an axial pull of 5 KN. Given E
=2x 10° kN/cm?.
3 a) Define strain energy and complimentary strain energy. Derive an expression for (7) strain
energy in a body subjected to axial stress.
0) A steel bar is placed between two copper bars each having the same area and (8)
length as the steel bar at 15°C. At this stage they are rigidly connected together at
both the ends. When the temperature is raised to 315°C, the length of the bars
increases by 1.50 mm. Determine the original length and the final stresses in the
bars. Take E,= 2.1 x 10° N/mm7?, Ec = 1 x 10° N/mm, as = 0.000012 per °C, ०८ =
0.0000175 per °C
PART 8
Answer any two full questions, each carries 15 marks

4 2) Establish relation between load, shear force and bending moment (5)
b) Construct shear force diagram and bending moment diagrams for a beam ABE, (10) 3L/2
m long, which is supported at A and B, ‘L’ m long. The beam carries a concentrated load
of 2W at L/4 distance from left support A, and point load W/2
at E. It also carries an upward point load of W at a distance of L/4 from support B.

5 What is pure bending? Derive an expression for bending stress in beams, stating the (15)
assumptions.
6 Determine and draw the shear stress variation along the depth of anI section beam (15)

having a uniform thickness of 10 mm, for the web and flanges. The total height of
the section is 200 mm and overall width of each flange is 100 mm. The shear force
is 250 104.

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