FORMAT OF I A TEST QUESTION PAPER (CIE)
Test/Date
and Time 
Semester/year 
Course/Course Code 
Max Marks 

Ex:
I test/6 ^{the} weak of sem 1011 Am 
I/II
SEM 
Strength
of Materials 
20 

Year: 
Course
code:15ME31T 

Name
of Course coordinator : Units:
CO’s: 

Question no 
Question 
MARKS 
CL 
CO 
PO 

1 






2 






3 






4 







Test/Date
and Time 
Semester/year 
Course/Course Code 
Max Marks 

Ex: I test/6 ^{the} weak of sem 1011 Am 
III SEM 
Strength
of Materials 
20 

Year: 201516 
Course
code:15ME31T 

Name
of Course coordinator : Note: Answer all questions 
Units:1, Co: 1,2,3.9 

Question no 
Question 
CL 
CO 
PO 

1 
Explain linear and lateral strain 3 MARKS 
U 
1 
1,2, 3,9 

2 
A bar of 30mm diameter is subjected to an axial pull of 80KN. The 
A 
1 
1,2, 


measured extension is
0.1 mm on
a gauge length
of 200mm and the change in diameter
is 0.004mm. Calculate
the poison’s ratio
and the 


3,9 


values of young’s Modulus, bulk modulus, and Modulus of rigidity. 





7 MARKS 




3 
A mild steel bar of 15mm diameter was subjected to a tensile test. The test bar was found to yield at a load of 90KN and it attains maximum 
A 
1 
1,2, 


load of 180KN and ultimately fails at a load of 67.5 KN. Determine the
following: tensile stress at the yield point, ultimate stress and stress at
the breaking point, if the diameter of the neck is 7.5mm. OR A bar of steel 1m long 50mm wide and 10mm thickness is subjected to an
axial load of 10KN in the direction of its length. Find the changes in
length, width, thickness and volume.10 MARKS 


3,9 
MODEL QUESTION PAPER (SEE)
Diploma in Mechanical Engineering III Semester
Course Title: STRENGTH OF
MATERIALS
(Answer any 6 questions from
part A and Any 7 from Part B) PARTA(Each question carries
5 marks)
1.
Define bulk Modulus and Shear Modulus
2. Explain thermal stress and
Shear Modulus
3. State Parallel and
perpendicular axis theorem
4.
Locate CG for Triangle Rectangle, Circle, Semicircle,
Trapezium, Cone with the help of
plain figure
5.
Define Shear force and Bending Moment in beams
6. Explain Point of Contra
flexure in a beam
7. List the assumptions in
theory of simple bending
8. Explain Beams of Uniform Strength
9. Explain Strain energy and Resilience
PARTB(Each questions carries
10 marks)
1.
A steel rod 30mm x 12.5mm and 500mm long is subjected
to a axial pull of 75KN. Determine the changes in length, width and thickness
and volume of bar. If young’s modulus is 200KN/mm^{2}.
2.
A bar of 30mm diameter is subjected to an axial pull
of 80KN. The measured extension is 0.1 mm on a gauge length of 200mm and the
change in diameter is 0.004mm. calculate the poisson’s ratio and the values of
young’s Modulus, bulk modulus and Modulus of
rigidity.
3.
An I section consists of top flange 100 X 30 mm,
bottom flange 200 X 40 mm and web 180 X 20 mm. Find the M.I. about an axis
passing through C.G. parallel to the base.
4.
Calculate M.I. of an angle section 100 X 80 X 10 mm
about an axis passing through the centroid and parallel to shorter leg.
5.
A cantilever of length 3 m carries a uniformly distributed load of 1.5
KN/m for entire length and a point load of 2 KN at a distance of 1 m from the
free end. Draw the shear force and the
bending moment diagrams for the beam.
6.
A simply supported beam of length 5 m carries point loads of 2 KN and 4
KN and 5 KN at a distance of 1 m, 3 m and 4 m from left support. Draw S.F. and
B.M. diagrams for the beam.
7.
A steel plate is bent into a circular arc of radius 10m.The plate is
100mm wide and 15mm thick, assuming the value of E=2X10^{5} N/mm^{2}.Find
the maximum stress induced in the plate and value of bending moment which
produced this stress.
8.
A simply supported wooden beam of span 1.3 m is carrying a central point
load of 40 KN. If the allowable bending stress in the timber is taken as 8 N/mm^{2},
find the breadth and depth of the timber. Take b=0.6d.
9.
(a).List the assumptions made in the theory of Torsion 5M
b)An
axial pull of 25KN is suddenly applied on a steel rod of 3 m long and 900mm^{2}
in crosssectional area. Calculate the strain energy stored in the rod. Take
young’s modulus is 2x10^{5} N/mm^{2}. –5M
10.
A solid circular shaft is required to transmit 80KW at 160 rpm. The
permissible shear stress in the shaft is 60 N/mm^{2}.The maximum Torque
transmitted exceeds the mean torque by 20% more than mean torque. The angle of
twist is not to exceed 10 in a length of 20 times the diameter of the
shaft. The valve of rigidity modulus is 0. 8x10^{5} N/mm2.
MODEL QUESTION BANK
Diploma in Mechanical
Engineering III Semester
Course title: STRENGTH OF
MATERIALS
LEVEL:
REMEMBER QUESTIONS
1.
Define Poisson’s ratio and Modulus of
Rigidity
2.
Define bulk Modulus and Shear Modulus
3.
Describe maximum stress and factor of
safety
LEVEL:
UNDERSTANDING QUESTIONS
4.
Explain linear and lateral strain
5.
Explain thermal stress and volumetric
strain
6. Explain Hoop’s stress and
longitudinal stress in thin cylindrical shells
7.
Explain thermal stress and Shear Modulus
LEVEL: APPLICATION
QUESTIONS
8.
Relate between elastic constants
9. Draw stress
strain diagram for Ductile materials with all parameters 10.Draw stress strain
diagram for Brittle materials with all parameters
11..A load of 5KN
is to be raised with the help of a steel wire. Find the diameter of the steel
wire, if the stress is not to exceed 100MPa.
12.A tensile test
is performed on a brass specimen 10mm in diameter using a gauge length of 50mm.
When applying axial tensile load of 25KN, it was observed that the distance
between the gauge marks increase by 0.152mm, calculate modulus of elasticity of
brass.
13.A punch with a
diameter 20mm is used to punch a hole in an aluminium plate of thickness 4mm
.If the ultimate shear stress for the aluminium is 275MPa, what force P is
required to punch through the plate.
14. The following data pertains
to a tension test conducted in laboratory:
i.
Diameter of the specimen = 15mm
ii.
Length of the specimen = 200mm
iii.
Extension under a load of 10 KN=0.035mm
iv.
Load at yield point = 110KN
v.
Maximum load = 190 KN
vi.
Length of the specimen after failure =
255mm
vii.
Neck diameter = 12.25mm
Determine: i) Young’s modulus, ii) Yield stress iii) Ultimate stress, iv)
Percentage elongation, v) percentage reduction in area, vi) safe stress
adopting factor of safety of 1.5.
15.A rod of diameter 15mm and 50mm long is subjected to tensile load of
25KN. The modulus of elasticity for steel rod may be taken as 200 KN/mm^{2}.
Find stress, strain and elongation of the bar due to applied load.
16.A rod of cross sectional area 15mm x 15mm and 1m long is subjected to
a compressive load of 22.5KN. calculate the stress and decrease in length if
young’s modulus is 200GN/m^{2}.
17.A load of 4KN is to be raised with the help of a steel wire. The
permissible tensile stress should not exceed 70N/mm^{2}. What is the
minimum diameter of wire required? What will be extension for 3.5m length of wire? Assume young’s modulus is 196.2
GN/m^{2}.
18.A mild steel bar of 15mm diameter was subjected to tensile test. The
test bar was found to yield at a load of 90KN and it attains maximum load of
180KN and ultimately fails at a load of 67.5 KN. Determine the following:
tensile stress at the yield point, ultimate stress and stress at the breaking
point, if the diameter of the neck is 7.5mm.
19. The following data pertains
to a tension test conducted in laboratory:
i.
Diameter of the specimen = 20mm
ii.
Gauge Length of the specimen = 100mm
iii.
Final length=130mm
iv.
Final diameter =11.5mm
v.
Yield Load = 92KN
vi.
Ultimate load = 165 KN
Determine: i) Yield stress ii)
Ultimate tensile stress, iii) Percentage elongation,
iv) percentage reduction in area.
20.A hallow steel column has to carry an axial load of 3MN. If the
external diameter of the column is 300mm, find the internal diameter. The
ultimate stress for steel is to be 480N/mm^{2}. Take factor of safety
as 4.
21.A short column has an internal diameter of 200mm. What should be the
minimum external diameter so that it may carry a load 1600KN with factor of
safety 7.5. Take ultimate stress of steel as 472N/mm^{2}.
22.A steel rod 30mm x 12.5mm and 500mm long is subjected to a axial pull
of 75KN. Determine the changes in length, width and thickness and volume of
bar. If young’s modulus is 200KN/mm^{2}.
23.A steel
bar 2.4 long and 30mm square is elongated by a load 400KN. If poisons ratio is
0.25 find the
increase in volume. Assume E=200KN/mm^{2}.
24.The young’s modulus for a given material is 100KN/mm^{2}and
its modulus of rigidity is 40KN/mm^{2}. Determine its bulk modulus and
also its lateral contraction if the diameter is 50mm and length 2m and
extension 2mm.
25.A bar of steel 1m long 50mm wide and 10mm thickness is subjected to an
axial load of 10KN in the direction of its length. Find the changes in length,
width, thickness and volume.
26.A
bar of 30mm diameter is subjected to an axial pull of
80KN. The measured extension is 0.1 mm on
a gauge length of 200mm and the change in diameter is 0.004mm. calculate the
poisson’s ratio and the values of young’s Modulus, bulk modulus and Modulus of rigidity.
LEVEL: REMEMBER
1.
Define centre of Gravity and Moment of
Inertia
2.
State Parallel and perpendicular axis
theorem
LEVEL:
UNDERSTANDING
3.
Locate CG for Triangle Rectangle, Circle, Semicircle,
Trapezium, Cone with the help of
plain figure
LEVEL:
APPLICATION
4.
Determine the centroid of the Tsection of a flange 100 X 10 mm. Also
find the
M.I. of the section about XX axis
through centroid.
5.
Find the centre of gravity of the Isection having top
flange of 100 X 20 mm, web 120 X 20 mm and bottom flange 150 X 20 mm. Also find
M.I. of the section about XX axis passing through C.G. of the section.
6.
Find the C.G. of Lsection of dimensions 100 X 80 X 20
mm. Also find the M.I. of the section through C.G. and parallel to shorter leg.
7.
Find the moment of Inertia about the centroidal axis
XX and YY of the Tsection 160 mm wide and 160 mm deep. The flange and web
thickness 50 mm each.
8.
Find the M.I. about the centroidal XX axis parallel to
the flange for the Tbeam. Size of the flange120 X 20 mm, size of web 120 X 20 mm.
9. An I
section consists of top flange 100 X 30 mm, bottom flange 200 X 40 mm and web
180 X 20 mm. Find the M.I. about an axis passing through C.G. parallel and
perpendicular to the base.
10. Calculate
M.I. of an angle section 100 X 80 X 10 mm about an axis passing through the
centroid and parallel to shorter leg.
11. Calculate
the C.G. and moment of inertia for a Channel section of size 100 X 100 X 20 mm
about XX and YY axis.
LEVEL: REMEMBER
1.
Define Shear force and Bending Moment in beams
2.
Name the types of loads acting on beams with illustration
LEVEL:
UNDERSTANDING
3.
Explain Sagging and Hogging bending Moment
4.
Explain Point of Contra flexure in a
beam
LEVEL:
APPLICATION
5.
A
cantilever beam of length 3m subjected to a point load of 5 KN, 8KN and 12 KN
at a distance of 1m, 1.5m and 2.5m from the free end. Draw SFD and BMD.
6.
A
cantilever beam of length 4m subjected to a point load of 3 KN, 5KN and 8 KN
and 10 KN at a distance of 1m, 1.5m and 3m and 3.5 m from the free end. Draw
SFD and BMD.
7.
A
cantilever beam of length 3 m subjected to two point loads of 10 KN acting at
the free end and 15KN at the middle of the beam. Draw SFD and BMD.
8.
A
cantilever beam 1.5 m long carries point loads of 1 KN, 2KN and 3 KN at 0.5 m,
1.0 m and 1.5 m from the fixed end respectively. Draw the SFD and BMD for the
beam.
9.
A cantilever beam of 1.4 m length carries a uniformly
distributed load of 1.5 KN/m over its entire length. Draw S.F and B.M diagrams
for the cantilever.
10. A cantilever AB 1.8 m long carries a point load of 2.5
KN at its free end and a uniformly distributed load of 1 KN/m from A to B. Draw
the shear force and the bending moment diagrams for the beam.
11. A cantilever beam of 2 m length carries a uniformly
distributed load of 1.5 KN/m over its entire length and also a point load of 3
KN at a distance of 0.5 m from the free end. Draw S.F and B.M diagrams for the cantilever.
12. A cantilever of length 2.5 m carries a uniformly
distributed load of 2 KN/m for a length of 2 m from the free end and a point
load of 2 KN at the free end. Draw
the shear force and the bending moment diagrams for the beam.
13. A cantilever of length 3 m carries a uniformly
distributed load of 1.5 KN/m for entire length and a point load of 2 KN at a
distance of 1 m from the free end. Draw
the shear force and the bending moment diagrams for the beam.
14. A cantilever 5 m long carries point loads of 30 KN and
10 KN at a distance of 1 m from the
fixed end. In addition to this the beam carries a UDL of 10 KN/m between point
loads. Draw shear force and bending moment diagrams for the cantilever.
15. A simply supported beam of length 6 m carries point
loads of 2.5 KN and 4 KN at a distance of 2 m and 4 m from left support. Draw
S.F. and B.M. diagrams for the beam.
16. A simply supported beam of length 5 m carries point
loads of 2 KN and 4 KN and 5 KN at a distance of 1 m, 3 m and 4 m from left
support. Draw S.F. and B.M. diagrams for the beam.
17. A simply supported beam of length 8m carries a UDL of
10KN/m for a distance of 6m from left support. Draw S.F and B.M diagram for the
above beam. Also calculate the maximum B.M. on
section.
18. A simply
supported beam of length 8m carries two point loads of 30KN and 40KN
respectively at a distance of 1.5m and 6.5m from the left support. Also it
carries a UDL of 10KN/m between the point loads, draw shear force and bending
moment diagram.
19. A simply
supported beam of 6m span is carrying a UDL of 20KN/m over a length of 3m from
right support. Draw S.F d and BMD. Also calculate maximum B.M.
20. Draw S.F
and B.M diagram for a simply supported beam 6m long carrying UDL of 2KN/m over
the entire length and point loads of 5 KN,4 KN and 3 KN at 3m,4m and 5m from
left support respectively.
21. A simply
supported beam of span 6m carries two point loads of 5 KN and 10 KN at 1m and
2m respectively from left support and also carries an UDL of 10KN/m over a
length of 3m from the right support. Draw SFD and BMD.
LEVEL: REMEMBER
1. List the aassumptions in
theory of simple bending
2. Describe the relation
between Bending Stress and Radius of Curvature
3. Describe the moment of
resistance and radius of Curvature in a beam
LEVEL:
UNDERSTANDING
4. Explain Beams of Uniform Strength
5. Explain modulus of Section
for Rectangular and Circular sections
LEVEL:
APPLICATION
1.
Write Bending equations with all notation
2.
A steel wire of 10mm
diameter is bent into circular shape of 5m
radius, determine the maximum stress induced in the wire. Take E=2X10^{5} N/mm^{2}.
3.
A steel plate is bent into a circular arc of radius 10m.The plate is
100mm wide and 15mm thick, assuming the value of E=2X10^{5} N/mm^{2}.Find
the maximum stress induced in the plate and value of bending moment which
produced this stress.
4.
The moment of inertia of a beam section 500mm deep is 700X10^{6}
mm^{4}.Find the longest span over which a beam of this section when
simply supported could carry a UDL of 40 KN/m. The maximum flange stress in the
material is not to exceed 110 N/mm^{2}.
5.
A cast iron pipe of external diameter 65mm and internal diameter of
45mm and of length 5m is supported at
its ends. Calculate the maximum bending stress induced in the pipe if it
carries a point load of 100N at its centre.
6.
A rectangular beam 300mm deep is simply supported over a span of 4m.
What UDL/m the beam can carry if bending stress is not to exceed 120 N/mm^{2}.
Take I=80X10^{6}mm^{4}.
7. A timber joist 150 X 250 mm
is simply supported over a span of 3m. If it carries a total UDL of 10 KN/m
inclusive of its weight, find the maximum stress induced in the joist.
8.
A rectangular beam 300 mm deep is simply supported over a span of 4 m.
What UDL the beam may carry if the bending stress is not to exceed 120 MPa.
Take I=225 X 10^{6} mm^{4}.
9. A simply supported wooden
beam of span 1.3 m is carrying a central point load of 40 KN. If the allowable
bending stress in the timber is taken as 8 N/mm^{2}, find the breadth
and depth of the timber. Take b=0.6d.
10.
A circular pipe of external diameter 70 mm and thickness 10 mm is used
as a simply supported beam over an effective span of 2.5 m. Find the maximum
point load that can be applied at the centre of span if permissible stress in
the tube is 150 N/mm^{2}.
11.
.A steel plate is bent into an arc of a circle of radius 10 m. If the
breadth of the plate is 150 mm and thickness 25 mm and E=2X10^{5} N/mm^{2},
calculate the maximum stress induced in the plate and the bending moment which
can produce this stress.
^{12.}
A timber is freely supported and has a span of 6 m. If the UDL of 10 KN/m and a
point load of 5 KN at a point 3.5 m from left support is loaded. Determine the
dimensions of the beam. Assume depth of beam as twice as its breadth. Take f=10
N/mm^{2}
13. A beam is
simply supported and carries UDL of 30 KN/m over the entire span. The section
of the beam is rectangular having depth of 400mm. If maximum stress in the
material is 120 N/mm^{2} and M.I. of the section is 7 X 10^{8},
find the span of the beam.
14.
LEVEL: UNDERSTANDING
1.
Explain Strain energy and Resilience
2.
Explain proof resilience and modulus of resilience
3.
Explain Suddenly applied and gradually applied load
4.
Explain Suddenly applied and Impact load
LEVEL: APPLICATION
5.
Calculate the strain energy stored in a bar 2.5 m long
,50mm wide and 40mm thick when it is subjected to a tensile load of 50KN.Take
young’s modulus is 2x10^{5}
N/mm^{2}
6.
An axial pull of 25KN is suddenly applied on a steel
rod of 3 m long and 900mm^{2} in crosssectional area. Calculate the
strain energy stored in the rod. Take young’s modulus is 2x10^{5} N/mm^{2}.
LEVEL: REMEMBER
1. List the assumptions made in
theory of Torsion
LEVEL: APPLICATION
2. Write the torsion equation
with all notations
3. Compare the Strength of
Hollow and Solid shaft
4.
A solid circular shaft is required to transmit 100KW
at 200 rpm. The permissible shear stress in the shaft is 70 N/mm^{2}.Find
the diameter of the shaft.
5.
A solid circular shaft is required to transmit 90KW at
180 rpm. The permissible shear stress in the shaft is 75 N/mm^{2}.The
maximum Torque transmitted exceeds the mean torque by 20% more than mean
torque. Find the suitable diameter of the shaft.
6. .A solid
circular shaft is required to transmit 120KW at 180 rpm. The permissible shear
stress in the shaft is 70 N/mm^{2}.The maximum Torque transmitted
exceeds the mean torque by 30% more than mean torque. Find the suitable
diameter of the shaft. Also find the angle of twist in a length of 2 meter. The
valve of rigidity modulus is 0. 9x10^{5} N/mm^{2}.
7.
A solid
circular shaft is required to transmit 100KW at 180 rpm. The permissible shear
stress in the shaft is 60 N/mm^{2}. Find the suitable diameter of the
shaft. The angle of twist is not to exceed 1^{0} in a length of 3 meter.
The valve of rigidity modulus is 0. 8x10^{5} N/mm^{2}.
8.
A solid shaft of diameter is 110 mm required to transmit 180KW at 120 rpm.
The angle of twist is not to exceed 1.5^{0} .Find the length of shaft.
The valve of rigidity modulus is 0. 8x10^{5} N/mm^{2}.
9.
A solid circular shaft is required to transmit 40KW at
120 rpm. The permissible shear stress in the shaft
is 40 N/mm^{2}.The maximum Torque transmitted exceeds
the mean torque by 25% more than mean torque. Find the suitable diameter
of the shaft.
10.
A solid
circular shaft is required to transmit 80KW at 160 rpm. The permissible shear
stress in the shaft is 60 N/mm^{2}.The maximum Torque transmitted
exceeds the mean torque by 20% more than mean torque. The angle of twist is not
to exceed 1^{0} in a length
of 20 times the diameter of the
shaft. The valve of rigidity modulus is 0. 8x10^{5} N/mm^{2}.Find
the diameter of the shaft.
11.
8. A solid circular shaft is required to transmit 75KW
at 200 rpm. The permissible shear stress in the shaft is 50 N/mm^{2}.The
maximum Torque transmitted exceeds the mean torque by 20% more than mean
torque. The angle of twist is not to exceed 1.2^{0} in a length of 30 times the diameter of the shaft. The valve of
rigidity modulus is 84x10^{3}N/mm^{2}.Find the diameter
of the shaft.
12.
A solid
circular shaft is required to transmit 1MW at 240 rpm. The permissible shear
stress in the shaft is 60 N/mm^{2}.The maximum Torque transmitted
exceeds the mean torque by 25% more than mean torque. The angle of twist is not
to exceed 1^{0} in a length of 2.5 meter. The valve of rigidity modulus
is 80KN/mm^{2}.Find the diameter of the shaft.
13.
A Hollow
shaft is required to transmit 300KW at 90 rpm. The permissible shear stress in
the shaft is 60 N/mm^{2}.The maximum Torque transmitted exceeds the
mean torque by 25% more than mean torque. The internal diameter is half of the
external diameter, Find the internal diameter and external, diameters of the shaft.
14.
A Hollow shaft is required to transmit 500KW at 100
rpm. The permissible shear stress in the shaft is 60 N/mm^{2}.The
maximum Torque transmitted exceeds the mean torque by 15% more than mean
torque. The internal to external diameter ratio is 3/5. The angle of twist is
not to exceed 1^{0} in a length of 3.5 meter The valve of rigidity
modulus is 80KN/mm^{2}.Find the minimum external diameter
of the shaft.
15.
A solid
circular shaft is required to transmit 40KW at 400 rpm. The Ultimate shear
stress in the shaft is 360 N/mm^{2} with a factor of safety as 8.The
maximum Torque transmitted exceeds the mean torque by 15% more than mean torque. Find the diameter of the shaft.
16.
If a Hollow shaft is to be used in place of solid
shaft, Find the internal diameter and external, diameters of the shaft with the
internal to external diameter ratio is 1/2.The material is same