Civil Diploma 3rd semester ENGINEERING MECHANICS AND STRENGTH OF MATERIALS
Government
of Karnataka Department of Technical
Education
Board
of Technical Examinations, Bengaluru

Course Title: ENGINEERING
MECHANICS AND STRENGTH OF MATERIALS 

Credits (L:T:P) : 4:0:0 
Total
Contact Hours: 52 
Course Code:
15CE31T 

Type of Course: Lectures,
Self Study& Student activity 
Credit :04 
Core/
Elective: Core 

CIE 25 Marks SEE
100 Marks 
Prerequisites: Knowledge of basic Mathematics and Science.
Course Objectives: The students shall be able to
1. Define and identify the differences among types of forces,
stresses and strains.
2. Determine the geometrical
properties of the structural sections and to analyze the effect of geometry on
strength properties of structural elements.
3. Evaluate the response and
behavior of various materials to forces, stresses and strains and to assess the
properties of a material and identify its usage in structural elements.
4. Identify, formulate and
solve engineering problems of structural elements subjected to flexure, shear.
5. Provide procedural knowledge
to analyses of structural system, component of elements such as beams and
columns subjected to various load combinations with different boundary
conditions.
On successful completion of this course,
the student will be able to
Course Outcome 
CL 
Linked PO 
Teaching Hrs 

CO1 
Compare the
various forces acting and apply the force equilibrium condition. 
R/U/Ap 
1,2 
5 
CO2 
Explain
the mechanical properties and describe the different types of stress, strains
and elastic constants and compute the factor of safety in sustainability of
material aspects. 
R/U/Ap/A
y 
1,2,5,6 
10 
CO3 
Compute geometrical
properties of the sections knowing the importance of geometry in structural
engineering 
R/U/Ap 
1,2,,5,9 
10 
CO4 
Correlate the concept of free body diagram, & analyze the
different types of end conditions in supports for various loads &beams
developing shear force diagram& bending moment diagram, 
R/U/Ap/
Ay/ C 
1,2, 3, 5,9 
10 
CO5 
Describe Pure bending theory and applying
geometrical properties of beam to calculate strength parameters& develop
flexural stress and shear stress diagram of structural members (beams) for different loading conditions. 
R/U/Ap/
Ay/ C 
1,2,3, 5,6,7,9 
8 
CO6 
Inspect and calculate the
deformation (Slope &deflection) of basic beams 
R/U/Ap/A
y 
1,2,5 
4 
CO7 
Explain the types of
column and apply the eulers theory to find the parameters for different end
condition 
R/U/A/Ay 
1,2,5,6 
5 
CO8 
Manage
the suggested or identified structural engineering problems, formulate and
solve in teams, in order to improve future problem solving ability and able
to present it. 
U/Ay/Ap/
C 
1,2,3,4, 5,6,7,8, 9,10 
* 
Total
sessions 
52 
Legend R; Remember U: Understand, Ap: Application Ay: Analysis
C:Creation,
*Related to Student activity beyond classroom hours.
Level 3 Highly Addressed, Level
2Moderately Addressed, Level 1Low Addressed.
Method is to relate
the level of PO with
the number of hours devoted
to the COs which address
the given PO. If
>40% of classroom sessions addressing a particular PO, it is considered that
PO is addressed at Level
3
If 25 to 40% of classroom sessions
addressing a particular PO, it is considered that PO is addressed at Level 2 If
5 to 25% of classroom sessions addressing a particular PO, it is considered that
PO is addressed at Level
1
If < 5% of classroom sessions addressing a particular PO,
it is considered that PO is considered notaddressed.
COURSE CONTENT
UNIT 
COURSE
CONTENTS 
HOURS 
1 
INTRODUCTION
TO ENGINEERING MECHANICS Force and characteristics
of a force, Force system:  Definition, classification of force system
according to plane and line of action, Composition of Forces:  Definition,
Resultant force, moment of a force,Principle of transmissibility of
forces,Law of moments Simple Problems on forces. 
6 
2 
SIMPLE
STRESSES AND STRAINS Definition of
rigid body, plastic body, mechanical properties of metal (Rigidity,
Elasticity, Plasticity, Compressibility, Hardness, Toughness, Stiffness,
Brittleness, Ductility, Malleability, Creep, Fatigue, Tenacity, Durability)
Definition of stress, strain, Classification of stress, strain, (Types of
stresses Tensile, Compressive and Shear stresses Types of strains  Tensile,
Compressive and Shear strains  Elongation and Contraction  Longitudinal and
Lateral strains  Poisson’s Ratio ) Stress strain curve for mild steel, HYSD
bar and nonferrous materials, (yield stress/ proof stress, Hooke’s law, St.
Venant‟s principle, Ultimate stress, breaking stress and percentage
elongation. Working stress  Factor of safety  Percentage reduction in area
 Significance of percentage elongation and reduction in area of cross
section ), Stresses in bars of
composite section (Modular ratio – Problems on axially loaded composite
sections like RC.C / Encased columns.) Principles of superposition,
Deformation of uniform bars and bars of varying cross section, Volumetric
strain & change in volume, Relation among elastic constants Types of
loading – gradual, suddenly applied load & Impact load Definition of
strain energy, modulus of resilience and proof resilience. Comparison of
stresses due to gradual load, sudden load and impact load. Thermal stresses. 
12 
3 
GEOMETRICAL
PROPERTIES OF SECTIONS Centroid, centre of gravity, Concept of moment of
inertia, Centre of gravity of plane areas such as rectangle, triangle,
circle, semicircle and quarter circle. Parallel axis and perpendicular axis
theorem, Radius of gyration & polar moment of inertia, problems on C.G of
irregular sections, M.I of symmetrical
and unsymmetrical sections (I, T, C, L section) problems, 
10 
4 
BENDING
MOMENTS AND SHEAR FORCE Types of beams –(simply
supported, cantilever, fixed and continuous beams,)Types of loading (Axial
load, Transverse load, point load, uniformly distributed load, uniform
varying load moment load) support reactions for determinate structures, End
conditions, Concept of shear force and bending moment, sign convention. Relation between bending
moment, shear force and rate of loading Shear force
and bending moment diagrams for simply supported beams, overhanging beams and
cantilever subjected to point loads, UDL, point of contra flexure. 
10 
5 
THEORY OF
SIMPLE BENDING Introduction – Bending stress in beam, Assumptions
in simple bending theory, bending equation, neutral axis, Modulus of rupture,
section modulus, flexural rigidity, moment of resistance, Problems on Bending
stress distribution diagramvariation of bending stresses across the cross
section of the beams only rectangular and T section. Shear Stress
distribution diagram for rectangular, I, Tsection beams. 
6 
6 
SLOPE AND
DEFLECTION OF BEAMS Introduction – Definitions of slope, deflection 
Slope and deflection using Moment area method for simply supported and
cantilever, subjected to symmetrical point loads and UDL. 
4 
7 
COLUMNS Introduction – Short and long columns  Euler’s
theory on columns  Effective length, slenderness ratio  radius of gyration,
buckling load  Assumptions, Euler’s Buckling load for different end
conditions  Limitations of Euler’s theory  and problems. 
4 
TOTAL 
52 
Course Delivery: The course will be delivered through lectures and Power point presentations/ Video
ą“·SUGGESTED STUDENT ACTIVITIES
The topic should be related to the course in order to enhance the student’s knowledge, practical skill, lifelong learning, communication, and modern tool usage.
1. Drawing Shear force and Bending Moment diagrams on Graph Paper simply supported beam, Cantilever and Draw the load diagram (free body diagram) by knowing SFD (each 6 problems).
2. To determine the moments of inertia of the given irregular body, composite sections, built up sections.
3. In spread sheet finding centre of gravity; IZZ and IYY of I, L,T and channel sections
4. Using MS excel prepare the abstract sheet with given data and calculate moment of inertia using formula bar
5. Writing report on (any one)
a. Study on Deformation behavior of Simply Supported Beam, measurement of Young’s Modulus and Deflection of Beam.
b. Conduct a experiment calculating the tensile stress of Bamboo if used as a reinforcing material
c. Calculate the tensile stress induced in the hanging rod of ceiling fan and suggest an alternate material
d. Calculate the tensile stress induced in the rope made up of jute
e. Determine the rigidity modulus of the material of the suspension wire.
f. Determine the flexural strength of the given tile by conducting a bending test
g. Conduct a deflection test on wooden beam and determine the value of Young’s Modulus of wood.
h. Draw a graph “load Vs deflection”.
i. Conduct a compression test on the given wooden cube and find its ultimate strength parallel to its fibres
j. Maxwell's Theorem of Reciprocal Deflection
k. Write material specifications for any two structural steels.
6. Visit the Institute’s Library / internet center and list the books/journals/conference proceedings, ebooks and any other resources available on the topics suggested by the teacher. Prepare references consisting name of the author, title of the book/paper, publication and place of publication, volume No.s, page numbers and year of publication(any one). Some examples:
a) Tensometer,
b) Strain hardening
c) Punching shear.
d) Comparison of Compressive strength of Bricks, Blocks and Concrete.
e) Tension test on Mild steel and HYSD bars.
f) Compression test of Mild Steel, Cast iron and Wood.
g) Bending Test on Wood and Mild steel.
h) Plastic deflection
i) Compound stress
j) Torsion
k) Thick and thin cylinders
l) Glass fibres
m) Carbon fibres
n) Hoop stress
o) Varignons theorem
p) Euler–Bernoulli beam theory
q) Trusses
r) Statically indeterminate structures
s) Prismatic beam
NOTE:
1. Students should select any one of the above or other topics relevant to the subject approved by the concerned faculty, individually or in a group of 3 to 5. Students should mandatorily submit a written report and make a presentation on the topic. The task should not be repeated among students. Report will be evaluated by the faculty as per rubrics. Weightage for 5 marks Internal Assessment shall be as follows: (Unsatisfactory 1, Developing 2, Satisfactory 3, Good4, Exemplary 5)
2. Reports should be made available along with bluebooks to IA verification officer
Example of model of rubrics / criteria for assessing student activity
Dimension 
Students score 

(Group
of five students) 

STUDENT 1 
STUDENT 2 
STUDENT 3 
STUDENT 4 
STUDENT 5 

Rubric Scale 
Unsatisfactory 1, Developing 2, Satisfactory 3, Good
4,Exemplary5 

1.Literature 
1 




2.Fulfill team’s roles & duties 
4 




3.Conclusion 
3 




4.Convensions 
5 




Total 
13 




Average=(Total /4) 
3.25 




Note: Concerned faculty (Course
coordinator) must devise appropriate rubrics/criteria for assessing Student
activity for 5 marks One activity to attain last CO (course outcome) may be
given to a group of FIVE students 
Note: Dimension should be
chosen related to activity and evaluated by the course faculty
Dimension 
Rubric
Scale 

1 Unsatisfactory 
2 Developing 
3 Satisfactory 
4 Good 
5 Exemplary 

1.Literature 
Has not included relevant
info 
Has included few relevant
info 
Has included some relevant
info 
Has included many relevant info 
Has included all relevant
info needed 
2.Fulfill team’s roles & duties 
Does not perform any
duties assigned 
Performs very little
duties 
Performs partial duties 
Performs nearly all duties 
Performs all duties of
assigned team roles 
3.Communication 
Poor 
Less Effective 
Partially effective 
Effective 
Most Effective 
4.Convensions 
Frequent Error 
More Error 
Some Error 
Occasional Error 
No Error 
Course Assessment and Evaluation
Scheme:

What 
To
whom 
When/Where
(Frequency in the course) 
Max
Mark s 
Evidence collected 
Course
outcomes 


CIE 
IA 
Student s 
Thrice test (Average of
three tests) 
Test 1 
20 
Blue books 
CO1,CO2 
Test 2 
CO3,CO4 

Test 3 
CO5, CO6,CO7 

Activities 
05 
Written Report 
CO8 

SEE 
End Exam 
End of the course 
100 
Answer
scripts at BTE 
1,2,3,4,5,6,7 


Student Feedback on course 
Student s 
Middle of the course 

Feedback forms 
1, 2,3 Delivery of course 

End of Course Survey 
End of the course 

Questionn aires 
1,2,3, 4 & 5, 6, 7 Effectiveness of Delivery of instructions &
Assessment Methods 
*CIE – Continuous Internal Evaluation *SEE
– Semester End Examination
Note: I.A. test shall be conducted
for 20 marks. Average marks of three tests shall be rounded off to the next
higher digit.
Weightage of Marks and blue print of
marks for SEE

Major
Topics 

Questions
to be set for SEE 


A* 
B* 

Cognitive
Levels 

R 
U 
Ap 
Ay 
C 

1 
Introduction to engineering mechanics 
5 
33.33% 
33.33% 
33.34% 
0.00% 
0.00% 
15 
10 
1 
1 
5 
5 
5 
0 
0 

2 
Simple stresses and strains 
10 
20.00% 
20.00% 
40.00% 
20.00% 
0.00% 
25 
19 
1 
2 
5 
5 
10 
5 
0 

3 
Geometrical properties of sections 
10 
20.00% 
20.00% 
60.00% 
0.00% 
0.00% 
25 
19 
1 
2 
5 
5 
15 
0 
0 

4 
Bending moments and shear force 
10 
10.00% 
10.00% 
20.00% 
20.00% 
40.00% 
30 
19 
2 
2 
3 
3 
6 
6 
12 

5 
Theory of simple bending 
8 
10.00% 
20.00% 
20.00% 
20.00% 
30.00% 
20 
15 
2 
1 
2 
4 
4 
4 
6 

6 
Slope and deflection of beams 
4 
20.00% 
13.33% 
40.00% 
26.67% 
0.00% 
15 
8 
1 
1 
3 
2 
6 
4 
0 

7 
Columns 
5 
13.33% 
20.00% 
40.00% 
26.67% 
0.00% 
15 
10 
1 
1 
2 
3 
6 
4 
0 

Total 
52 
18.1% 
18.6 % 
35.9 % 
15.9 % 
12.4% 
145 
100 
9 
10 

25 
27 
52 
23 
18 
Legend R; Remember U: Understand Ap: Application
Ay: Analysis C: Creation E: Evaluation
A*SEE questions to be set for (05marks ) in Part – A B* SEE questions to be set for (10marks) in Part