JNTU Kakinada B-Tech 2-1 R1621032 MECHANICS OF SOLIDS R16 May 2018 Question Paper

Code No: R1621032
II B. Tech I Semester Supplementary Examinations, May – 2018
MECHANICS OF SOLIDS (Com to ME, AE & AME)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer ALL the question in Part-A
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART ?A
1. a)Draw the Stress- Strain diagram for Cast Iron and mention the Salient points? (2M)
b) What are the effects of inclined load on the Beam? (2M)
c) What is the section modulus and how it will affect the strength of the beam? (2M)
d) State the Mohr?s theorem I & II to determine the Deflection of the beam? (3M)
e) A vessel in the shape of spherical shell of 1.20 m internal diameter and 12 mm
shell thickness is subjected to pressure of 1.6 N/mm
2
. Determine the stresses
induced in the material of shell? (3M)
f)Define the torsional rigidity of the shaft? What does it represent? (2M)
PART -B
2. a) A weight of 10 KN falls by 30 mm on a collar rigidly attached to a vertical bar
4 m long and 1000 mm
2
in section. Find the instantaneous expansion of bar.
Take E= 210 Gpa. (7M)
b) An elemental cube is subjected to tensile stresses of 30 N/mm
2
and 10 30
N/mm
2
acting on two mutually perpendicular planes and a shear stress of 10 30
N/mm
2
on these planes. Draw the Mohr?s circle of stresses and hence or
otherwise determine the magnitudes and directions of principal stresses and
also greatest shear stress. (7M)
3. A simple supported beam of length 8m rests on supports 6m apart, the right
hand end is overhanging by 2 m. The beam carries a uniformly distributed load
of 1500 N/m over the entire length. Draw the shear force and bending moment
diagrams and find the point of contra flexure, if any? (14M)

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SET – 1
R16

Code No: R1621032
II B. Tech I Semester Supplementary Examinations, May – 2018
MECHANICS OF SOLIDS (Com to ME, AE & AME)Time: 3 hours Max. Marks: 70
Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answer ALL the question in Part-A
3. Answer any FOUR Questions from Part-B
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART ?A
1. a)Draw the Stress- Strain diagram for Cast Iron and mention the Salient points? (2M)
b) What are the effects of inclined load on the Beam? (2M)
c) What is the section modulus and how it will affect the strength of the beam? (2M)
d) State the Mohr?s theorem I & II to determine the Deflection of the beam? (3M)
e) A vessel in the shape of spherical shell of 1.20 m internal diameter and 12 mm
shell thickness is subjected to pressure of 1.6 N/mm
2
. Determine the stresses
induced in the material of shell? (3M)
f)Define the torsional rigidity of the shaft? What does it represent? (2M)
PART -B
2. a) A weight of 10 KN falls by 30 mm on a collar rigidly attached to a vertical bar
4 m long and 1000 mm
2
in section. Find the instantaneous expansion of bar.
Take E= 210 Gpa. (7M)
b) An elemental cube is subjected to tensile stresses of 30 N/mm
2
and 10 30
N/mm
2
acting on two mutually perpendicular planes and a shear stress of 10 30
N/mm
2
on these planes. Draw the Mohr?s circle of stresses and hence or
otherwise determine the magnitudes and directions of principal stresses and
also greatest shear stress. (7M)
3. A simple supported beam of length 8m rests on supports 6m apart, the right
hand end is overhanging by 2 m. The beam carries a uniformly distributed load
of 1500 N/m over the entire length. Draw the shear force and bending moment
diagrams and find the point of contra flexure, if any? (14M)

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Code No: R1621032

4. The Shear force acting on a section of a beam is 50 KN. The section of the
beam is T shaped of dimensions 100 mm x 100 mm x 20 mm as shown in the
fig. The moment of inertia about the horizontal neutral axis is 314.221 x 10
4
mm
4
. Calculate the shear stress at the neutral axis and at the junction of the
web and flange? (14M)
5. A cantilever of length 2m carries a point load of 20 kN at the free end and
another load of 20 kN at its center. If E = 10
5
N/mm
2
and I=10
8
mm
4
for the
cantilever then determine by moment area method, the slope and deflection of
the cantilever at the free end. (14M)
6. Determine the maximum and minimum hoop stress across the section of a pipe
of 400 mm internal diameter and 100 mm thick, when the pipe contains a fluid
at a pressure of 8 N/mm
2
. Also sketch the radial pressure distribution and hoop
stress distribution across the section? (14M)
7. a) A simply supported beam of length 4m is subjected to a uniformly distributed
load of 30 kN/m over the whole span and deflects 15 mm at the center.
Determine the crippling load when the beam is used as column with both the
ends pin jointed? (7M)
b) Derive the relation for a circular shaft when subjected to torsion as T/J = t/R =
G?/L
Where T is torque transmitted, J = polar moment of inertia, t = Max. Shear
stress, R = radius of shaft, G= modulus of rigidity, ? = angle of twist, L=
length of shaft. (7M)

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