08000CE201122001 Pages: 2

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Max. Marks: 100

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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
Third Semester B.Tech Degree (S,FE) Examination January 2022 (2015 Scheme)

Course Code: CE201
Course Name: MECHANICS OF SOLIDS

PARTA
Answer any two full questions, each carries 15 marks.
Define and explain 1) axial stress ii) shear stress with neat diagrams.

Define Bulk modulus. Calculate the change in volume of a cubical block of side
150 mm subjected to a hydrostatic pressure of 80 MPa. Take Poisson’s ratio 0.31
and Young’s modulus 200 GPa. Also compute Rigidity modulus of the material.
Derive the expression for elongation of a tapering rod with circular cross section
subjected to an axial load, using appropriate symbols.
The maximum instantaneous extension, produced by an unknown weight falling
through a height of 4 cm before striking the collar rigidly fixed to the lower end
of a vertical bar of length 3 m and of cross-sectional area 5 cm’, is 2.1 mm.
Determine (a) the instantaneous stress induced in the vertical bar, and (b)the
value of unknown weight. Take E=2x10°N/mm?
A steel bar ABCD consists of three sections: AB is of 20 mm diameter and
200mm long, BC is square with 25 mm side and 400 mm long and CD is of 12
mm diameter and 200 mm long. The bar is subjected to an axial compressive
load which induces a stress of 30 MN/m’ on the largest cross section. Determine
total decrease in length of the bar when this compressive load is applied. Assume
E=210GPa
A compound bar is made of a central steel plate 60 mm wide and 10 mm thick to
which copper plates 40 mm wide and 5mm thick are rigidly connected on each
side. The length of the bar at normal temperature is | m. If the temperature is
raised by 80°C, determine the stress in each metal and the change in length. Es =
2x10° N/mm”, ‏وہ‎ =12x10° °C, Ec = 1.05x10° N/mm” and ac = 17.5x10° °C.
PART ‏تا‎

Answer any two full questions, each carries 15 marks.
Obtain the relationship between bending moment, shear force and load intensity
at any section of a beam.
A simply supported beam of span L carries a clockwise moment M at its centre.
Draw the SFD and BMD
List out the assumptions in theory of simple bending

A beam of I section 200 mm wide and 300 mm deep with flange and web
thickness 20 mm is used as a simply supported beam over a span of 7 m. The
beam carries a distributed load of 5 kN/m over the whole span and a

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Duration: 3 Hours

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