Download JNTUA (JNTU Anantapur) M.Tech ( Master of Technology) 1st Semester 2016 Aug Supply 9D15103 Advanced Mechanics of Solids Previous Question Paper
M.Tech I Semester Supplementary Examinations August 2016
ADVANCED MECHANICS OF SOLIDS
(Machine Design)
(For students admitted in 2012, 2013, 2014 & 2015 only)
Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
*****
1 (a) What is shear centre and bending axis?
(b) Locate shear centre for the beam cross section shown in figure below:
2 (a) What are the equations of equilibrium bending stresses for a beams subjected to nonsymmetrical
bending? Explain.
(b) A channel section beam length of 80 m loaded as a simple beam with a concentrated load
P = 35 kN acting at the center of the beam as shown in figure below. Determine the maximum
tensile and compressive stresses in the beam if ? = 5 ?/9. If the beam made of is an aluminum alloy
(E = 72 GPa), determine the maximum deflection of the beam.
3 (a) The curved beam in figure has a triangular cross section as shown in figure below. Determine the
stress at B and C for P = 40 kN.
(b) What are the stresses in chain links? Explain with example.
Contd. in page 2
Page 1 of 2
14.5 mm
200 mm
23.2 mm
96.8 mm
104 mm
13.5 mm
C
e
x
20 mm
140 mm
20 mm
200 mm
20 mm
A
?
?
Plane of the load
y 0
45 mm
120 mm 60 mm B
90 mm
C
P
B
C
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Code: 9D15103
M.Tech I Semester Supplementary Examinations August 2016
ADVANCED MECHANICS OF SOLIDS
(Machine Design)
(For students admitted in 2012, 2013, 2014 & 2015 only)
Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
*****
1 (a) What is shear centre and bending axis?
(b) Locate shear centre for the beam cross section shown in figure below:
2 (a) What are the equations of equilibrium bending stresses for a beams subjected to nonsymmetrical
bending? Explain.
(b) A channel section beam length of 80 m loaded as a simple beam with a concentrated load
P = 35 kN acting at the center of the beam as shown in figure below. Determine the maximum
tensile and compressive stresses in the beam if ? = 5 ?/9. If the beam made of is an aluminum alloy
(E = 72 GPa), determine the maximum deflection of the beam.
3 (a) The curved beam in figure has a triangular cross section as shown in figure below. Determine the
stress at B and C for P = 40 kN.
(b) What are the stresses in chain links? Explain with example.
Contd. in page 2
Page 1 of 2
14.5 mm
200 mm
23.2 mm
96.8 mm
104 mm
13.5 mm
C
e
x
20 mm
140 mm
20 mm
200 mm
20 mm
A
?
?
Plane of the load
y 0
45 mm
120 mm 60 mm B
90 mm
C
P
B
C
Code: 9D15103
4 (a) What are the stresses developed when the disc is rotating? Derive the formulas for when disc is
subjected to uniform strength.
(b) A hollow thin-wall torsion member sectional dimensions as indicated in figure. The material is an
aluminum alloy for which G = 26 GPa. Determine the torque and unit angle of twist if the maximum
shear stress, at locations away from stress concentrations, is 40 MPa.
5 (a) Derive an expression for the stress concentration at the tip of a elliptical hole introduced in a plate
subjected to far field stress of ?.
(b) Determine the expression for the contact stress developed in a single row ball bearing.
6 (a) Explain a plane stress and plane strain problem in rectangular coordinates with suitable example.
(b) What is the effect the of the shear force on deflection of beam with UDL.
7 (a) Discuss the general yielding mode of failure. Explain: elastic perfectly plastic; nonlinear; lower
bound load; and upper bound for the general yielding mode of failure. Distinguish fully plastic load
for an axial member and the plastic moment for a beam subjected to pure bending.
(b) Derive expression for the stresses in a circular disc.
8 (a) A beam as shown in figure is subjected to pure bending. The material has a yield point ?
y
.
Determine the ratio of the plastic moment and the maximum elastic moment.
(b) Explain about pure bending of three dimensional plates with suitable example.
*****
Page 2 of 2
60 mm
t 3=1.5 mm
t 2=1.5 mm
t 1=4.5 mm
60 mm
30 mm
1 2
q
1
q
2
50 mm
40 mm
30 mm
10 mm
10 mm
10 mm
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This post was last modified on 30 July 2020