Subject Title : Engineering Mechanics & Strength
of Materials.
Subject Code :
Hours Per Week : 04
Hours Per Semester : 64
TOPIC ANALYSIS
SL.No
|
Major Topics
|
Hours Allotted
|
Weightage of Marks
|
SECTION-I
|
|||
1
|
Introduction to Engineering
Mechanics
|
01
|
02
|
2
|
Force Analysis
|
08
|
18
|
3
|
Centre of Gravity
& Moment of Inertia
|
10
|
30
|
SECTION-II
|
|||
4
|
Simple stresses
& Strains
|
08
|
20
|
5
|
Bending moment & Shear forces |
10
|
30
|
SECTION-III
|
|||
6
|
Strain energy &
Impact loading
|
02
|
05
|
7
|
Theory of simple
bending & Theory of torsion
|
08
|
20
|
8
|
Thick & Thin
cylinders
|
08
|
20
|
9
|
Industry Institute
Interaction
|
05
|
-
|
10
|
Tests
& Revisions
|
04
|
|
Total
|
64
|
145
|
|
OBJECTIVES
On completion of the
course the students should be able to…
1. Understand the Basics of Engineering
Mechanics.
2. Understand the force analysis.
3. Understand the concept of centre
of gravity & moment of inertia.
4. Understand the concept of simple
stresses & strains.
5.
Understand the concept of bending moment & shear force diagrams.
6.
Understand strain energy & impact loading.
7.
Understand the concept of bending & torsion.
8.
Understand the concept of thick & thin cylinders.
COURSE CONTENTS
1.0
INTRODUCTION TO ENGINEERING
MECHANICS
1.1 Introduction to
Engineering Mechanics.
1.2 Statics,
Dynamics, Kinetics & Kinematics.
1.3 Scalar
& Vector quantities.
2.0 FORCE ANALYSIS
2.1 Composition &
Resolution of forces – Force,effect,characteristics of a force, system of
forces, resultant force, methods for the resultant force and simple problems.
2.2 Parallelogram law of forces and simple
problems.
2.3 Triangle law of forces
2.4 Polygon law of forces
2.5 Moments & their applications –
Moments of a force, types of moments, law of moments,
applications of moments - levers,
types of levers.
2.6 Parallel force & couples –
Classification of parallel forces, analytical method for the resultant of
parallel forces and simple
problems.
2.7 Couple – Moment of a couple and classification
of couples.
2.8 Equilibrium of forces – Introduction,
principles of equilibrium, lami’s theorem, types of
equilibrium.
3.0 CENTRE OF GRAVITY & MOMENT OF INERTIA
3.1 Centre
of gravity, methods of finding centre of gravity and axis of reference.
3.2 Centre of gravity of symmetrical &
unsymmetrical plane figures.
3.3 Simple problems.
3.4 Moment of inertia, units
of moment of inertia.
3.5 Moment of inertia of a plane area.
3.6 Methods for moment of inertia.
3.7 Moment of inertia of triangular,
rectangular, circular & hollow circular sections.
3.8 Simple problems.
3.8 Theorem of parallel axis and Theorem of
perpendicular axis.
3.9 Moment of inertia of L, I, T sections.
3.10 Simple problems.
4.0 SIMPLE STRESSES & STRAINS
4.1 Elasticity, stress, types of stress,
strain.
4.2 Elastic limit, Hooke’s law & modulus
of elasticity.
4.3 Deformation of a body due to force acting
on it.
4.4 Simple problems.
4.5 Temperature stresses in simple bars.
4.6 Elastic constants, linear strain, lateral
strain, volumetric strain & Poisson’s ratio.
4.7 Bulk modulus, relation between bulk
modulus & young’s modulus (without proof).
4.8 Shear stress, shear strain & modulus
of rigidity.
4.9 Relation between modulus of elasticity
& modulus of rigidity (without proof).
4.10 Simple problems.
5.0 BENDING
MOMENT AND SHEAR FORCES
5.1 Introduction,
types of loading.
5.2 Shear
force and bending moment.
5.3 Sign
conventions.
5.4 Shear
force and bending moment diagrams.
5.5
Shear force and bending moment
diagrams for cantilever, simply supported beams subjected to
point load & uniformly
distributed load.
6.0 STRAIN
ENERGY & IMPACT LOADING
6.1 Introduction,
resilience, proof resilience and modulus of resilience.
6.2 Types
of loading.
6.3 Equation
for strain energy stored in a body when the load is gradually applied.
6.4 Simple
problems.
6.5
Equation for strain energy
stored in a body when the load is suddenly applied.
6.6 Simple
problems.
7.0 THEORY
OF SIMPLE BENDING & THEORY OF TORSION
7.1 Introduction,
assumptions in theory of simple bending.
7.2 Bending stress, relation between bending
stress & radius of curvature (without proof).
7.3 Position
of neutral axis, moment of resistance.
7.4 Bending
equation (without proof).
7.5
Modulus of section for
rectangular, hollow rectangular and hollow circular sections.
7.6 Simple
problems.
7.7 Theory of torsion, assumptions and polar
moment of inertia.
7.8 Power transmitted by a shaft.
7.9 Torsional rigidity equation (without
proof).
7.10 Simple problems.
8.0 THICK AND THIN CYLINDERS
8.1 Introduction
to thin cylinders, stresses in thin cylindrical shells.
8.2 Expression
for circumferential stress & longitudinal stresses (without proof).
8.3 Simple
problems.
8.4 Design of thin cylinders with simple
problems.
8.5 Thick cylinders, assumptions Lame’s
theory.
8.6 Equation of Lame’s theory (without
proof).
8.7 Simple problems.
SPECIFIC INSTRUCTIONAL OBJECTIVES
1.0 Introduction to engineering mechanics
1.1 Explain
the importance of engineering mechanics.
1.2 Define
the various branches of engineering mechanics.
1.3 Define
statics, dynamics, kinetics and kinematics.
1.4 Explain
scalar and vector quantities with examples.
2.0 Force analysis
2.1 Define
force
2.2 List
effects of a force
2.3 List characteristics of a force.
2.4 Explain
the system of forces
2.5 Define resultant force.
2.6 State
the methods for the resultant force.
2.8 State
the principle of resolution
2.9 Explain
the method of resolution for the resultant force and solve simple problems.
2.10 State
triangle law of forces and polygon law of forces.
2.11 Define
moment of a force.
2.12 State
types of moments – clockwise and anticlockwise moments.
2.13 State
law of moments
2.14 Define
a lever.
2.15 List
the types of levers.
2.16 Explain
the concept of parallel forces and give classification of parallel forces –
like and unlike
parallel forces.
2.17 Analytical
method for the resultant of parallel forces and simple problems.
2.18 Define
a couple, Explain moment of a couple, and classify couple – clockwise and
anticlockwise
moments.
2.19 Explain
equilibrium of forces.
2.20 State
principles of equilibrium.
2.21 State
Lami’s theorem (without proof).
2.22 Explain
types of equilibrium – stable, unstable and neutral equilibrium.
3.0 Centre
of gravity & moment of inertia
3.1 Define
centroid and list methods for finding centroid.
3.2 Explain
axis of reference.
3.3 Explain centre of gravity of plane
figures and solve simple problems on finding centre of gravity of symmetrical
& unsymmetrical sections.
3.4 Define moment of inertia and mention the
units of moment of inertia.
3.5 Explain the moment of inertia of a plane
area.
3.6 State methods for moment of inertia – Routh’s
rule & Integration method.
3.7 Explain the moment of inertia by Integration
method.
3.8 Mention the equation of moment of inertia
of triangular, rectangular, circular and hollow circular sections and solve
simple problems.
3.9 State theorem of parallel axes and theorem
of perpendicular axes (without proof).
3.10 Solve simple problems on finding moment of
inertia of L, I & T sections.
4.0 Simple stresses & strains
4.1 Define elasticity, stress, and strain.
4.2 Explain types of stresses – tensile,
compressive stress.
4.3 Define
elastic limit, state Hooke’s law and explain modulus of elasticity.
4.4 State
the equation for deformation of a body due to force acting on it.
4.5 Solve
simple problems on finding deformation, modulus of elasticity and diameter of a
given component.
4.6 Explain
temperature stresses in simple bars.
4.7 Explain
elastic constants – linear strain, lateral strain, volumetric strain and
Poisson’s ratio.
4.8 simple
problems.
4.9 Define
bulk modulus and state the relation between bulk modulus and young’s modulus
(without proof).
4.10 Simple
problems.
4.11 Explain
shear stress, shear strain and modulus of rigidity.
4.12 State
relation between modulus of elasticity and modulus of rigidity (without proof)
4.13 Simple
problems.
5.0 Bending moment & shear
forces
5.1 Explain types of loading – point load,
uniformly distributed load and uniformly varying load.
5.2 Define shear force and bending moment.
5.3 Explain sign conventions for shear force
and bending moment.
5.4 Explain shear force and bending moment
diagrams.
5.5 Solve simple problems on calculating
shear force and bending moment for cantilever, simply supported beams subjected
to point load and uniformly distributed load with shear force and bending
moment diagrams.
6.0 Strain
energy & impact loading
6.1 Explain
strain energy.
6.2 Define
resilience, proof resilience and modulus of resilience.
6.3 Explain types of loading – gradually
applied load and suddenly applied load.
6.4 State
the equation for strain energy stored in body when the load is gradually applied.
and solve
simple problems.
6.5 State
the equation for strain energy stored in a body when the load is suddenly
applied.
7.0 Theory
of simple bending & Theory of torsion
7.1 Explain bending stress and
list the assumptions in theory of simple bending.
7.2 State relation between bending stress and
radius of curvature (without proof).
7.3 Explain position of neutral axis and
moment of resistance.
7.4 State bending equation (without proof).
7.5 Explain modulus of section.
7.6 State equation for modulus of section of
rectangular, hollow rectangular, circular and hollow circular sections.
7.7 Solve simple problems on above sections
only using bending equation.
7.8 Explain torsion and state assumptions for
shear stress in a circular shaft subjected to torsion.
7.9 Explain polar moment of inertia.
7.10 State torsion equation (without proof).
7.11 State the equation for power transmitted by
a shaft.
7.12 State the equation for torque transmitted
by solid shaft and hollow shaft.
7.13 Solve simple problems on solid and hollow
circular shafts considering above equations only.
8.0 Thick and Thin cylinders
8.1 Explain
the concept of thin cylindrical shells.
8.2 State
the stresses in thin cylindrical shell – circumferential and longitudinal stress.
8.3 State
the equation for circumferential and longitudinal stress.
8.4 Solve simple problems on above.
8.5 State the equation for thickness of thin
cylindrical shells and solve simple problems.
8.6 Explain the concept of thick cylindrical shells
8.7 State assumptions of lame’s theory.
8.8 State equation of lame’s theory (without
proof).
8.9 Solve simple problems.
Text
Books: 1. Engineering mechanics and
Strength of materials by I.S.Hiremath,
Sapna Publishers
REFERENCE BOOKS
1.
Engineering mechanics by R.S.Khurmi.
2.
Strength of materials by R.S.Khurmi.
3.
Applied Mechanics by
S.S.Bhavikatti.
4.
Strength of Materials by
S.S.Bhavikatti.
5.
Applied Mechanics & Strength
of Materials by S.Ramamrutham.
6.
Applied Mechanics & Strength
of Materials by I.B.Prasad.
7.
Introduction to strength of
materials by Prakash Rao-Universities Press (India) Pvt. Ltd.
8.
Engineering mechanics by Sheshagiri Rao- Universities Press (India)
Pvt. Ltd.
DEPARTMENT OF TECHNICAL EDUCATION
DIPLOMA COURSE IN MECHANICAL ENGINEERING
THIRD SEMESTER
MODEL QUESTION
PAPER
ENGINEERING
MECHANICS & STRENGTH OF MATERIALS
Time: 3Hrs
Max marks: 100
Note: 1 Section-I is compulsory
2 Answer any six full
questions from Section-II, Section-III, and Section-IV, Choosing
at least two from
each section.
SECTION- I
1 a) Fill
in the blanks with appropriate words 1X5= 5
i) The ratio of volumetric stress to volumetric
strain is called ______________.
ii)
A set of forces whose resultant is zero are called _____________.
iii)
The point through which the whole weight of the body acts irrespective
of its position is known as ___
iv)
A pair of two equal & unlike parallel forces with lines of action
parallel to each other & acting in opposite
directions is known as ______________.
v) The layer which is neither
compressed nor stretched when the section is subjected to bending is known as
___
b)
State the assumptions in theory of simple bending? 5
SECTION-II
2 a) Define resultant
force. 2
b) What are
the effects of a force? 3
c) A triangle ABC has its sides AB=40mm along
X-axis and side BC=30mm along positive Y-axis,
three forces 40N,50N & 30N
along the sides AB,BC & CA respectively. Determine the magnitude
of resultant of such a system of forces. 10
3 a) Define centroid .
2
b)
State methods for determining centre of gravity. 3
c) Find the
centroid of an unequal angle section shown in figure below 10
4 a) Define moment of inertia 2
b) State theorem of parallel axis. 3
c) Find the moment
of inertia of T-section shown in the figure below 10
SECTION-III
5 a) Define modulus of
elasticity. 2
b) Explain the temperature stresses in simple bars. 3
c) In an
experiment a bar of 30 mm diameter is subjected to a pull of 60 KN.The measured
extension
on gauge length of 200mm is 0.09 mm and the change in diameter is 0.0039mm.
Calculate
the Poisson’s ratio and values of young’s modulus, rigidity modulus and bulk modulus.
10
6 a) Define shear force . 2
b)
State the types of loading .
3
c) Draw shear force
and bending moment diagrams for a cantilever beam of span 1.5m carrying
point loads as shown in
figure. 10
7 a) Define bending moment. 2
b) Explain sign
conventions for shear force and bending moment. 3
c) A simply
supported beam AB of span 2.5m is carrying two point loads as shown in figure.
Draw the shear force and
bending moment diagrams. 10
SECTION-IV
8 a) Define strain energy 2
b) Define i) proof resilience ii) modulus of resilience 3
c) A rectangular beam60mm wide and 150 mm deep
is simply supported over a span of 6m.If the beam is
subjected to a central point load of 12KN find the maximum bending
stress induced in the beam section. 10
9 a)
Define polar moment of inertia . 2
b) State the
assumptions for shear stress in a circular shaft subjected to torsion. 3
c) A hollow shaft is to transmit 200 KW at 80
rpm.If the shear stress is not to exceed 60 MPa and internal
diameter is 0.6 of external diameter.
Find the diameters of the shaft. 10
10 a) what is a thin cylindrical shell? 2
b) State equations for circumferential stress
and longitudinal stress in a thin cylindrical shell. 3
c) A cylindrical shell of 1.3 m diameter is
made up of 18mm thick plates. Find the circumferential &
longitudinal stress in the [plates if the boiler is subjected to an
internal pressure of 2.4 MPa.Take
efficiency of the joints as 20%. 10
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