Diploma Engineering: Civil Diploma 3rd semester ENGINEERING MECHANICS AND STRENGTH OF MATERIALS

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 2-Moderately Addressed, Level 1-Low 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 not-addressed.

COURSE CONTENT

UNIT

COURSE CONTENTS

HOURS

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.

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 non-ferrous 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.

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,

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.

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 diagram-variation of bending stresses across the cross section of the beams only rectangular and T section. Shear Stress distribution diagram for rectangular, I, T-section beams.

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.

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.

TOTAL

Course Delivery: The course will be delivered through lectures and Power point presentations/ Video

ഷSUGGESTED 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, e-books 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
Dimension	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