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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) /

Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

| w.e.f. Academic Year:   | 2024-25   |
|-------------------------|-----------|
| Semester:               | 3 rd      |
| Category of the Course: | ESC       |

| Prerequisite:   | Basic knowledge of Laws and Principles of Mathematics and Physics.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         |
|-----------------|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| Rationale:      | The primary purpose of the study of Basics of Applied Mechanics is to develop  the capacity to predict the effects of force while carrying out the creative design  functions of engineering. This course is an introduction to learning and applying  the  principles  required  to  solve  engineering  mechanics  problems.  The  course  addresses  the  modelling  and  analysis  of  static  equilibrium  problems  with  an  emphasis on real world engineering applications and problem solving. It bridges  the gap between physical theory and its application to technology.  This  course  also  deals  with  the  behavior  of  solid  materials  by  studying  the  distribution  of  internal  forces,  the  stability  and  deformation  of  the  materials  under  the  applied  loads  or  forces.  To  choose  proper  material  by  keeping  its  strength and suitability in mind is very important stage in production and design  level in the field of Mechanical Engineering. Hence the course is prerequisite for  understanding principles of machine design at various levels. |

## Course Outcome:

After Completion of the Course, Student will able to:

|   No | Course Outcomes                                                                                                                               |
|------|-----------------------------------------------------------------------------------------------------------------------------------------------|
|   01 | Identify the force systems for given conditions by applying the basics of mechanics and  study coplanar concurrent and non-concurrent forces. |
|   02 | Find the Centroid and Centre of gravity of various components in engineering Systems.                                                         |
|   03 | Analyze structural behaviour of various materials under axial loading and study stress and  strain under various types of loadings.           |
|   04 | Determine Moment of inertia of a symmetrical and asymmetrical section about a given axis.                                                     |
|   05 | Determine stresses in the shaft and apply the basics for relevant simple machines for given  purposes                                         |

http://syllabus.gtu.ac.in/

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

## Teaching and Examination Scheme:

| Teaching Scheme (in Hours)   | Teaching Scheme (in Hours)   | Teaching Scheme (in Hours)   | Total  Credits  L+T+(PR/2)   | Assessment Pattern and Marks   | Assessment Pattern and Marks   | Assessment Pattern and Marks   | Assessment Pattern and Marks   | Total  Marks   |
|------------------------------|------------------------------|------------------------------|------------------------------|--------------------------------|--------------------------------|--------------------------------|--------------------------------|----------------|
| L                            | T                            | PR                           | C                            | Theory                         | Theory                         | Tutorial/ Practical            | Tutorial/ Practical            |                |
|                              |                              |                              |                              | ESE (E)                        | PA(M)                          | PA (I)                         | ESE (V)                        |                |
| 2                            | 0                            | 2                            | 3                            | 70                             | 30                             | 20                             | 30                             | 150            |

Legends: L -Lecture; T - Tutorial/Teacher Guided Theory Practice; P - Practical; C

- Credit,

CA - Continuous Assessment; PA - Progressive Assessment, ESE -End Semester Examination.

## Course Content:

|   Unit  No. | Content                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |   No. of  Hours |   %of  Weightage |
|-------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-----------------|------------------|
|           1 | Basics of Mechanics: 1.1 Significance and relevance of Mechanics, Applied mechanics,  Statics, Dynamics. Space, time, mass, particle, flexible body and rigid  body.   1.2 Scalar and vector quantity, Units of measurement (SI units) -  Fundamental units and derived units.   1.3 Force - unit, representation as a vector and by Bow's notation,  characteristics and effects of a Force.   1.4 Principle of transmissibility of force, Principle of Superposition   1.5 Force system and its classification. |              02 |               06 |
|           2 | Coplanar Concurrent Forces:  2.1 Resolution of a force - Orthogonal components of a force   2.2 Equilibrium and Equilibrant, Free body and Free body diagram,  conditions of equilibrium,   2.3 Resultant of forces using analytical and graphical methods for the  forces acting at a point:   1. Law of Parallelogram   2. Law of triangle   3. Law of Polygon   2.4 Lami's Theorem - statement and explanation, Application for  various engineering problems.                                                 |              06 |               19 |
|           3 | Centroid & Centre of Gravity:                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |              04 |               13 |

http://syllabus.gtu.ac.in/

Page 2 of 9

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) /

Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

| 3.1 Concept of Centroid, Centre of Gravity.   3.2 Axis of reference and Axis of Symmetry.   3.3 Centroid of One-Dimensional geometrical figures using principle of  moment.   3.4 Centroid of Two-Dimensional geometrical Plane figures (Square,  Rectangle, Triangle, Circle, Semi-circle, Quarter-circle) & Composite  figures (not more than three figures) using first moment of area.   3.5 Centre of Gravity of Simple solids (Cube, Cuboid, Cone, Cylinder,  Sphere, Hemisphere) & Composite solids (not more than two solids)  using first moment of mass.                                                                                                                                                                                                                                                                                                 |    |    |
|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|----|----|
| Direct Stress and Strain:  4.1  Direct  stress,  Linear  strain,  Elasticity,  Elastic  limit,  Hook's  law,  Modulus of Elasticity or Young's modulus, Stress Strain curve for mild  steel bar under tension with numerical problems.   4.2  Lateral  stress  and  strain,  Poisson's  ratio,  Volumetric  strain,  Bulk  modulus, relation between three moduli and numerical.  Basics Concepts  of Shear Stress, Shear Strain & Modulus of rigidity.   4.3  Concept  of  composite  and  compound  section,  modular  ratio  and  numerical.   4.4  Concept  of  Thermal  stress  and  strain,  Thermal  stresses  for  non- yielding and yielding condition with numerical.   4.5  Stresses  due  to  gradual,  sudden  and  impact  load,  corresponding  deformation, Strain energy, Resilience, Proof resilience and Modulus of  resilience with numerical. | 06 | 19 |
| Moment of Inertia:  5.1 Concept and Importance of Moment of Inertia.   5.2  Concept  of  Section  modulus,  Radius  of  gyration,  Polar  moment  of  Inertia.  5.3 Parallel Axis Theorem & Perpendicular Axis Theorem   5.4  Formulas  to  calculate  Moment  of  Inertia  of  solid  and  hollow  rectangle, square, circle, triangle shapes (without derivations).   5.5  Moment  of  Inertia  of  symmetrical  and  asymmetrical  I-section,  Channel section, T-section, Angle section, Hollow sections and Built-up  sections about Centroidal axis and any other reference axis using Parallel  axis theorem.                                                                                                                                                                                                                                               | 04 | 13 |
| Torsion:  6.1 Torque or turning moment or twisting moment, Angle of twist, Shear  stress  in  shaft,  strength  of  shafts,  Polar  moment  of  inertia,  Torsional  rigidity, assumptions in the theory of torsion.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               | 04 | 11 |

http://syllabus.gtu.ac.in/

Page 3 of 9

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

## Program Name: Engineering

## Level: Diploma

## Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) /

## Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

|    | 6.2 Equation of Torsion (without derivation) and related numericals.   6.3 Relationship of H.P., Torsion and RPM and related numericals                                                                                                                                                                                                                                                                                                          |                                 |     |
|----|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|---------------------------------|-----|
| 7. | Simple Lifting Machine:  7.1 Describe the components of the given lifting machine.   7.2 Determine mechanical advantage, velocity ratio, efficiency and law  of the given simple lifting machines.  7.3 Compare reversible & irreversible machines.  7.4 Select the relevant eco-friendly lifting machine required for the given  purpose with justification.                                                                                    | 04                              |  11 |
| 8. | Mechanical Properties and Tests on Metals: 7.1. Classification of engineering materials.   7.2.  Physical  properties  of  material:  Elasticity,  Plasticity,  Ductility,  Brittleness, Malleability, Fatigue, Creep, Toughness, Hardness etc.   7.3.  Testing  of  materials  for  impact  value  (Izod  impact  and  Charpy  impact test) and hardness (Brinell and Rockwell hardness test).   7.4. Factors affecting selection of materials. | To be  Covere d in  Laborat ory |  08 |
|    | Total                                                                                                                                                                                                                                                                                                                                                                                                                                            | 30                              | 100 |

## Suggested Specification Table with Marks (Theory):

## Distribution of Theory Marks

|   R Level |   U Level |   A Level | N Level   | E Level   | C Level   |
|-----------|-----------|-----------|-----------|-----------|-----------|
|        20 |        30 |        50 | --        | --        | --        |

WhereR:Remember;U:Understanding;A:Application,N:AnalyzeandE:EvaluateC:Create(asper Revised Bloom's Taxonomy)

## References/Suggested Learning Resources:

## (a) Books:

|   Sr.  No | Title of Book         | Author       | Publication with place, year  and ISBN                                   |
|-----------|-----------------------|--------------|--------------------------------------------------------------------------|
|         1 | Engineering Mechanics | R. S. Khurmi | S. Chand, New Delhi. (2019)  ISBN: 978-93-5283-396-2                     |
|         2 | Engineering Mechanics | D.S. Kumar   | S. K. Kataria & Sons, New Delhi (2021  reprint)  ISBN: 978-93-5014-311-7 |

w.e.f.2024-25

http://syllabus.gtu.ac.in/

Page 4 of 9

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

|   3 | EngineeringMechanic s7 th edition               | Bear & Johnston                                           | New media-McGraw Hill (India), Noida  (1999)  ISBN: 978-00-7239-513-6                     |
|-----|-------------------------------------------------|-----------------------------------------------------------|-------------------------------------------------------------------------------------------|
|   4 | Applied Mechanics                               | Dr. H. J. Shah&  S. B. Junnarkar                          | CHAROTAR Publication, Anand(2013)  ISBN:978-93-803-5861-1                                 |
|   5 | Engineering Mechanics                           | D. S. Bedi                                                | Khanna Publications, New Delhi(2019)  ISBN:978-93-861-7326-3                              |
|   6 | Applied Mechanics                               | R. S. Khurmi  N. Khurmi                                   | S. Chand & Co. Ltd,  New Delhi (2018)  ISBN: 978-8121916431                               |
|   7 | Applied Mechanics                               | S. B. Junnarkar, Dr.  H. J. Shah                          | Charotar  Publishing  House Pvt. Ltd.,  Anand (2015)  ISBN: 978-9385039065                |
|   8 | Strength of Material  (Part-I & II)             | Stephen Timoshenko                                        | CBS Publishers & Distributors Pvt. Ltd.,  New Delhi (3 rd  Edition)  ISBN: 978-0898746211 |
|   9 | Strength of Materials                           | Dr. B. C. Punmia  Er. Ashok Kr. Jain  Dr. Arun Kumar Jain | Laxmi Publications, New Delhi (2019)  ISBN: 978- 8131809259                               |
|  10 | Strength of Materials  (Mechanics of Solids)    | R. S. Khurmi  N. Khurmi                                   | S. Chand Publishing (2019)  ISBN:97-893-528-339-79                                        |
|  11 | Strength of Materials                           | Dr . R. K. Bansal                                         | Laxmi Publications (P) Ltd.  NewDelhi(2005)  ISBN:97-881-700-814-70                       |
|  12 | Strength of Materials                           | S. Ramamrutham&  R. Narayanan                             | Dhanpat Rai Publishing Company(2011)  ISBN:97-881-874-335-45                              |
|  13 | Strength of Materials  (Mechanics of Materials) | R. S. Laheri  A. S. Laheri                                | S.K. Karatia & Sons, Delhi. (2010)  ISBN: 97-881-857-494-40                               |

## GUJARAT  TECHNOLOGICAL  UNIVERSITY

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## Open source software and website:

1. https://swayam.gov.in/
2. https://nptel.ac.in/
3. https://www.asme.org/
4. https://www.astm.org/
5. https://www.iso.org/home.html
6. https://www.ansi.org/
7. https://www.aws.org/home
8. https://www.edx.org/
9. http://www.efunda.com/home.cfm
10. https://www.howstuffworks.com/
11. https://www.youtube.com/playlist?list=PL63F5D8638872CC3E
12. http://icrank.com/cgi-bin/pageman/pageout.cgi?path=%2Findex\_html.html
13. https://www.matweb.com/
14. https://www.engineeringtoolbox.com/
15. https://www.coursera.org/learn/engineering-mechanics-statics

## Suggested Course Practical List :If any

|   Sr.  No. | Name of Practical                                                                                           |   Unit  No. |   Approx.  Hrs.  required |
|------------|-------------------------------------------------------------------------------------------------------------|-------------|---------------------------|
|          1 | Verify and calculate resultant force through Law of Parallelogram using  analytical and graphical methods.  |           2 |                         4 |
|          2 | Verify Law of Triangle using analytical and graphical methods.                                              |           2 |                         2 |
|          3 | Verify and calculate resultant force through Polygon Law of Forces  using analytical and graphical methods. |           2 |                         4 |
|          4 | Verify and calculate the value of unknown force through Lami's  Theorem.                                    |           2 |                         2 |

http://syllabus.gtu.ac.in/

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) /

## Mechatronics Engineering

## Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

| 5          | Calculate Centroid of a lamina having regular and irregular shapes.                                                                                                                                                                             | 3          |   2 |
|------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|------------|-----|
| 6          | Conduct tension test on a given sample of mild steel and draw stress- strain curve.                                                                                                                                                             | 4          |   4 |
| 7          | Verify and calculate theoretical and practical velocity ratios of any four  simple lifting machines.  (Simple wheel and axle, Differential axle and wheel, simple screw jack,  worm and worm wheel. Single purchase crab, Double purchase crab) | 7          |   2 |
| 8          | Find out Compressive Strength of Cast Iron, Mild Steel, Wooden  specimen with parallel & perpendicular to grains.                                                                                                                               | 8          |   4 |
| 9          | Determine Izod impact value of given materials.                                                                                                                                                                                                 | 8          |   2 |
| 10         | Determine Charpy impact value of given materials.                                                                                                                                                                                               | 8          |   2 |
| 11         | Determine Brinell and Rockwell hardness of given materials.                                                                                                                                                                                     | 8          |   2 |
| Total Hrs. | Total Hrs.                                                                                                                                                                                                                                      | Total Hrs. |  30 |

## List of Laboratory / Learning Resources Required:

These  major  equipment  with  broad  specifications  for  the  PrOs  is  a  guide  to  procure  them  by  the administrators to usher in uniformity of practical in all institutions across the state.

|   Sr.  No. | Equipment Name with Broad Specifications                                                                                     | Practical  No.   |
|------------|------------------------------------------------------------------------------------------------------------------------------|------------------|
|          1 | Apparatus for Law of Parallelogram.                                                                                          | 1, 2, 4          |
|          2 | Universal Force table with all accessories.                                                                                  | 3                |
|          3 | Center of Gravity apparatus, Gravimeter etc.                                                                                 | 5                |
|          4 | Universal Testing Machine (UTM)                                                                                              | 6, 8             |
|          5 | Simple wheel and axle, Differential axle and wheel Single and double purchase  crab, simple screw jack, worm and worm wheel. | 7                |
|          6 | Izod Impact test Apparatus                                                                                                   | 10               |
|          7 | Charpy Impact test Apparatus                                                                                                 | 11               |
|          8 | Brinnel Hardness test Apparatus                                                                                              | 11               |

http://syllabus.gtu.ac.in/

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) / Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

## Suggested Project List:

Only one micro-project is planned to be undertaken by a student that needs to be assigned to him/her in the beginning  of  the  semester.  In  the  first  four  semesters,  the  micro-project  are  group-based  (group  of  3  to  5). However, in the fifth and sixth semesters, the number of students in the group should not exceed three. The micro-project could be industry application based, internet-based, workshop-based, laboratory-based or fieldbased. Each micro-project should encompass two or more COs which are in fact, an integration of PrOs, UOs and ADOs. Each student will have to maintain dated work diary consisting of individual contribution in the project work and give a seminar presentation of it before submission. The duration of the micro-project should be about 14- 16 (fourteen to sixteen) student engagement hours during the course. The students ought to submit micro-project by the end of the semester to develop the industry-oriented COs.

A suggestive list of micro-projects is given here. This has to match the competency and the COs. Similar microprojects could be added by the concerned course teacher:

- a) Prepare spreadsheet or computer program to calculate the resultant force by the law of parallelogram and the law of polygon.
- b) Using Drafting software calculate graphically the resultant force by the law of parallelogram and the law of polygon for at least five different conditions.
- c) Prepare a spreadsheet or computer program to find out reactions for at least five different loading conditions on a simply supported beam.
- d) Prepare spreadsheet or computer program to calculate centroid and centre of gravity for different geometrical sections.
- e) Compare coefficient of sliding Friction for different surfaces (Wood , Glass, Steel, plastic, wrought iron etc. ) with &amp; without lubricant
- f) Compare a suitable simple lifting machine used in your daily life in your branch.

## Suggested Activities for Students : If any

Other than the classroom and laboratory learning, following are the suggested studentrelated co-curricular activities  which  can  be  undertaken  to  accelerate  the  attainment  of  the  various  outcomes  in  this  course: Students should conduct following activities in group andprepare reports of about 5 pages for each activity, also collect/record physical evidences for their (student's) portfolio which will be useful for their placement interviews:

- a) Collect five different situations with photographs indicating concurrent, parallel, general force system in equilibrium.
- b) Collect five different situations with photographs where law of moment plays an important role.

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## GUJARAT  TECHNOLOGICAL  UNIVERSITY

Program Name: Engineering

## Level: Diploma

Branch: Mechanical Engineering / Mechanical Engineering (CAD/CAM) /

Mechatronics Engineering

Course/Subject  Code: DI03000201

Course/Subject Name: Basics of Applied Mechanics

## them.

- d) Prepare a chart for friction examples which you are facing in day to day life and also interpret whether it is useful and harmful.
- e) Prepare a list with photographs of simple lifting machines used in your daily life in your branch.

## Any Other (Suggested Special Instructional Strategies):

These  are  sample  strategies,  which  the  teacher  can  use  to  accelerate  the  attainment  of  the  various outcomes  in  this  course:  a)  Massive  open  online  courses  (MOOCs)  may  be  used  to  teach  various topics/sub  topics.  b)  Guide  student(s)  in  undertaking  micro-projects.  c)  'L'  in  section  No.  4means different  types  of  teaching  methods  that  are  to  be  employed  by  teachers  to  develop  the  outcomes.  d) About 20% of the topics/sub-topics which are relatively simpler or descriptive in nature is to be given to the students for self-learning, but to be assessed using different assessment methods. e) With respect to section No.10, teachers need to ensure to create opportunities and provisions for co-curricular activities. f)  Guide  students  on  how  to  address  issues  on  environment  and  sustainability.  g)  Guide  students  for using data manuals.

* * * * * **