### 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.

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 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 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. 12

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, 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 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