# C - 14 CURRICULUM FOR DCE

ENGINEERING MECHANICS

Subject Title                          :           Engineering Mechanics
Subject Code                         :           CE-105
Periods/Week                        :           05
Periods/Semester                 :           150

# TIME SCHEDULE

 S. No. Major Topics No. of Periods Weightage of marks Short Answer Type Essay Type 1. Introduction 10 03 01 --- 2. Forces & Moments 40 26 02 02 3. Centroid 25 16 02 01 4. Moment of Inertia 35 26 02 02 5. Simple Stresses and Strains 40 39 03 03 Total 150 110 10 08
OBJECTIVES
Upon completion of the course the student shall be able to

1.0     Understand the basic concepts of  Engineering Mechanics
1.1  Define Mechanics and Engineering Mechanics
1.2  State the applications of Engineering Mechanics
1.3  State the branches of Engineering Mechanics
1.3  Define the terms 1.Statics, 2.Dynamics, 3.Kinetics and 4.Kinematics
1.4  State the systems of measurements and Units
1.5  State S.I and M.K.S units of physical quantities used in Civil Engineering

2.0    Understand the concept Equilibrium of Co-Planner forces
2.1 Define the following terms:
1. Force,
2. Moment,
3. Resultant,
4. Equilibrium of forces,
5. Equilibrant and
6. Moment of a couple.
2.2 Distinguish between
2.2.1 Scalar and Vector quantities,
2.2.2 Co-planar and non-co-planar forces,
2.2.3 Parallel and non-parallel forces and
2.2.4 Like and unlike parallel forces.
2.3 Compute the resultant of two co-planar forces acting at a point by
2.3.1       Law of parallelogram of forces and
2.3.2       Triangle law of forces
2.4 Explain ‘Lami’s Theorem’.
2.41 Solve simple problems using Lami’s Theorem
2.5 Solve problems on computation of the resultant of a system of coplanar concurrent forces by
2.5.1 Law of polygon of forces and
2.5.2 Resolution of forces
2.6. Solve problems on computation of the resultant of a system of coplanar parallel
forces.
2.7. Explain the properties of a couple.
2.8. State the conditions of equilibrium of rigid body subjected to a number of co- planar forces.
2.8.1. Determine resultant of co-planar concurrent forces by analytical methods.
2.9  List various types of supports ( like Simply support, fixed support, hinged support,
roller support)
2.10  List various types of  beams ( like simply supported beams, cantilever, fixed beams, over hanging beams, continuous beams)

3.0    Understand the Centroid
3.1    Define Centroid and Centre of gravity
3.2    Distinguish between Centroid and Centre of gravity
3.3    State the need for  finding the Centroid and Centre of gravity for various engineering applications.
3.4    Calculate the positions of Centroid for simple  plane figures from first    principles
3.5    Explain the method of determining the Centroid by ‘Method of moments’.
3.6    Determine the position of Centroid of standard sections-T, L, I, Channel section, Z section, unsymmetrical I section
3.7    Determine the position of Centroid of built up sections consisting of RSJ’S and flange plates and Plane figures having hollow portions

4.0       Compute the Moment of Inertia and radius of gyration
4.1    Define Moment of Inertia (MI), Polar Moment of Inertia, Radius of gyration
4.2    State the necessity of finding Moment of Inertia for various engineering applications
4.3    Determine Moment of Inertia and Radius of gyration for regular geometrical sections like T, L, I, Channel section, Z section, unsymmetrical I section
4.4    State 1. Parallel axes theorem and 2. Perpendicular axes theorem to determine MI
4.5    Determine MI of standard sections by applying parallel axes theorem.
4.6    Determine MI of built-up sections by applying parallel axes theorem.
4.7    Calculate radius of gyration of standard sections.
4.8   Determine the polar M.I for solid and hollow circular section applying perpendicular axes theorem.

5.0       Calculate the simple Stresses and Strains in structural materials
5.1       Define the following terms:
1.    Stress,
2.    Strain,
3.    Modulus of Elasticity,
4.    Longitudinal Strain,
5.    Lateral Strain,
6.    Poisson’s ratio,
7.    Modulus of rigidity,
8.    Bulk Modulus,
9.    working stress,
10.  Factor of safety,
11.  Resilience,
12.  Strain Energy,
13.  Proof resilience and
14.  Modulus of Resilience
5.2       Distinguish between different kinds of stresses and strains.
5.3       Draw the stress-strain curve for ductile materials (Mild steel) and hence explain the salient points in the curve.
5.4       State Hooke’s law and limits of proportionality.
5.5       Solve problems on relationship between simple stress and simple strain under axial loading on uniform bars and stepped bars.
5.6       State the relationship among the elastic constants.
5.7       Solve problems on relationship between elastic constants.
5.8       Calculate stresses in simple and composite members under axial
5.9       Explain temperature stress, strain, hoops stress, temperature stresses in composite sections.
5.11     Explain the mechanical properties of materials like…..

## COURSE CONTENT

1.            Introduction
Mechanics-Engineering Mechanics-Applications and branches of Engineering Mechanics- Statics, Dynamics, Kinetics and Kinematics- Systems of measurements and Units- S.I and M.K.S units  of physical quantities used in Civil Engineering

2.            Forces & Moments
a)            Definition of force; vectors and scalars; vector representation of a force; systems of forces; co-planar forces.
b)            Resultant of forces at a point – Parallelogram Law and Triangle Law of forces – Lami’s theorem – Polygon law of forces – Resolution of forces.
c)            Parallel forces – like and unlike – moment of force-its units and sense-couple-moment of a couple – properties of a couple.
d)            Conditions of equilibrium of a rigid body subjected to a number of co-planar forces.
e)            Structural members supporting co planar forces- Types of supports- Types of beams- Types of loading- Determination of support reactions for simply supported beams with point loads and Uniformly distributed loading

3.            Centroid
a)            Definitions – Centroid, Centre of gravity
b)            Position of Centroid of standard figures like rectangle, triangle, parallelogram circle, semi-circle and trapezium.
c)            Determination of location of Centroid of standard sections- T, L, I, Channel section, Z section and built up sections consisting of RSJs and flange plates and plane figures having hollow portion.

4.            Moment of Inertia
a)          Definition of Moment of Inertia
b)          Perpendicular and parallel axes theorems
c)          Moment of Inertia of standard sections like rectangle, triangle, circle and hallow circular sections
d)          Moment of Inertia of built up sections- T, L, I, Channel section, and  Z sections using parallel axis theorem
e)          Moment of Inertia and radius of gyration of built-up sections consisting of the combinations of RSJ’s flange plates, channels & flange plates etc.
f)          Polar Moment of Inertia of solid and hallow circular sections
using Perpendicular axis theorem

5.            Simple Stresses and Strains
a)            Stress and strain – type of stresses and strains
b)            Stress strain curves for ductile materials- mild steel, elastic limit, limit of proportionality, yield point, ultimate stress; breaking stress; working stress factor of safety.
c)            Hooke’s law – Young’s modulus – deformation under axial load.
d)            Shear stress and Shear Strain – Modulus of rigidity.
e)            Longitudinal and lateral strain-poisson’s ratio Bulk Modulus – relationship between elastic constants (proof not required, only problems).
f)             Composite sections – effect of axial loads
g)            Temperature stresses – strains – hoop stress - Temperature stresses in composite sections
h)            Resilience – strain energy-proof resilience – and modulus of resilience – maximum instantaneous stress due to gradual, sudden, and shock loading.
i)              Mechanical properties of materials-elasticity, plasticity, ductility, brittleness, malleability, stiffness, hardness, toughness, creep, fatigue, examples of materials which exhibit the above properties.
REFERENCE BOOKS
1.        N. H.Dubey, Engineering Mechanics – (Tata Mc Graw Hill)
2.        R.S.Kurmi,  Engineering Mechanics
3.        P.K. Abdul Latheef, Engineering Mechanics
4.        Dayaratnam, Engineering Mechanics Statics
5.        N. Srinivasulu, Engineering Mechanics
SURVEYING – I

Subject Title              :           Surveying – I
Subject Code             :           CE-106
Periods/Week            :           03

## TIME SCHEDULE

 Major Topics No. of Periods Weightage of marks Short Answer Type Essay type 1. Introduction to  surveying 12 16 02 01 2. Chain Surveying 36 42 04 03 3. Compass Surveying 32 39 03 03 4. Minor Instruments 10 13 01 01 Total 90 110 10 08

OBJECTIVES

Upon completion of the course the student shall be able to

1.0          Know the  basic facts about Surveying
1.1       State the concept of surveying.
1.2       State the purpose of surveying.
1.3       Distinguish between 1. Plane and 2. Geodetic surveying.
1.4        List the units of linear and angular measurements in Surveying and     conversions.
1.5      List the instruments used for taking linear and angular measurements.
1.6       Classify different surveys.
1.7       State the fundamental principles of surveying.
1.8       State and explain the stages of survey operations.

2.0          Understand the principles of Chain Surveying
2.1      State the purpose of Chain surveying.
2.2      State the principle of Chain surveying.
2.3      Explain the principles used in Chain triangulation.
2.4      List different instruments used in Chain Surveying.
2.5       Explain the functions of different instruments used in Chain Surveying.
2.6       List the points to be followed while selecting the survey stations
2.7       Define ranging
2.8       Explain the methods of ranging a line.
2.9   List the operations involved in chaining on 1. Flat ground, 2.Sloping ground and 3. When high ground intervenes.
2.10   Describe in detail the method of setting out right angles
1. With or without cross staff and
2. Optical square.
2.11     Explain the
1. Field work procedure in Chain survey and
2. Method of recording field   observations.
2.12     Know the errors and mistakes in Chain surveying.
2.13     Determine the corrections for measurement due to incorrect length of chain.
2.14       Explain the methods of overcoming different obstacles in chain  surveying.
2.15     Explain the method of preparing site plans by Chain Surveying.
2.16    Calculate the areas of irregular boundaries using
1. Average Ordinate rule,
2. Trapezoidal rule and
3. Simpson’s rule.

3.0      Principles of Compass Surveying
3.1       State the purpose of Compass surveying.
3.2       State the principles of Compass surveying.
3.2         Identify the parts of Prismatic Compass
3.3         Explain the functions of parts of Prismatic Compass
3.4         Define terms-
1.  Whole Circle Bearing,
3. True meridian,
4. Magnetic meridian,
5. True bearing,
6. Magnetic bearing,
7. Dip,
8. Declination, and
9. Local attraction.
3.5         Convert Whole Circle Bearing in to Quadrantal Bearing and vice versa.
3.6         Explain the effect of local attraction
3.7       Compute corrected bearings for local attraction.
3.8        Compute the included angles of lines in a Compass traverse.
3.9       Compute the true bearings of lines in a Compass traverse.
3.10     Explain the operations involved in field in compass Surveying
3.11     Explain methods of recording field notes.
3.12     Explain the method of plotting Compass Surveying.
3.13     Explain the method of plotting closed traverse adjusting closing error by Bowditch rule.
3.14     List the errors in Compass surveying.

4.0          Uses and working principles of Minor Instruments
4.1     Explain the need for  using Minor instruments
4.2     List various minor instruments used in surveying
4.3      Explain the uses of the following minor instruments:
1. Abney Level,
2. Pentagraph and
3. Electronic Planimeter
4.4       Explain the working principles of
1. Abney Level,
2. Pentagraph and 3. Electronic Planimeter

# COURSE CONTENT

1.0 Classification and Principles of Surveying
Concept of Surveying-purpose of Surveying-Divisions of surveying- Classification of Surveying based on different criteria– Fundamental principles in Surveying -Measurements- Units and conversions-Instruments used for taking linear and angular measurements- Stages of survey operations-Field work, Office work, Care and adjustments of the instruments.
2.0 Chain Surveying
a)     Purpose and Principle of Chain Survey ing -Suitability of Chain Surveying-Survey stations and  their selection-Survey  lines and offsets – Instruments used in Chain survey  and their function

b)    Ranging a survey line- direct ranging and  Indirect ranging – Line ranger-Chaining a line –Duties of leader and follower- Chaining on a sloping ground-Errors and mistakes in ordinary chaining -Correction due to incorrect  length of Chain- problems
c)   Different operations in Chain Surveying- Setting out right
angles with cross staff and Optical square- Cross staff survey
Field work procedure- Recording field notes – field book-Conventional signs.
d)    Obstacles in chaining-methods to overcome obstacles-Problems
e)    Calculations of area – different methods –Average ordinate, Trapezoidal and  Simpson’s rules.

3.0 Compass Surveying
a)    Introduction, Purpose, principle and uses of  compass Survey-Traverse-Open and Closed Traverse –Theory of magnetism-Description working and  use of Prismatic compass-Operations in using Compass before taking  readings
b)    Concept of Meridian-Types of meridians-Bearing and angle-  Designation of bearings- Whole Circle Bearing.  Quadrantal Bearing
Conversions-
c)    Field work in Compass Survey –field notes-traverse using prismatic
compass.
d)     Local attraction-detection and correction, Dip and Magnetic declination- Variation of Magnetic declination -calculation of
true bearings-Determination of included angles from the given bearings and vice versa  in compass  traverse.
e)    Plotting of Compass traverse-closing error and adjustments by Bowditch graphical method.
f)     Precautions in using a Compass-Errors in Compass Surveying.

4.0 Minor instruments
Purpose of Minor instruments- Various minor instruments- Uses and working principles of Abney Level, Pentagraph and Electronic Planimeter

### REFERENCE BOOKS

1.            N.N.Basak, Surveying  - Tata Mc Graw Hill
2.            S.K.Duggal, Surveying Vol-I  - Mc Graw Hill Edn (India) Pvt Ltd
3.            Kulkarni and Kanetkar, Surveying and levelling Vol –1
4.         B.C. Punmia, Surveying and Levelling Vol. – 1

5.         R.Agor, Surveying and Levelling - Vol –1  Khanna Publishers
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