December 24, 2013

ENGINEERING MECHANICS & STRENGTH OF MATERIALS ( 3 sem Mechanical Engineering Syllabus )



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.                 
2.7       State parallelogram law of forces and solve simple problems.
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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