15AR31T: Mechanics of Structures Archi 3rd Sem Syllabus for Diploma DTE Karnataka C15 Scheme

Mechanics of Structures detail DTE Kar Diploma syllabus for Architecture (AR), C15 scheme is extracted from DTE Karnataka official website and presented for diploma students. The course code (15AR31T), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.

For all other archi 3rd sem syllabus for diploma c15 scheme dte karnataka you can visit Archi 3rd Sem Syllabus for Diploma C15 Scheme DTE Karnataka Subjects. The detail syllabus for mechanics of structures is as follows.

Pre-requisites:

Applied science and Mathematics

Course Objectives:

The course aims at enabling the students to

1. Define force systems and their role in the stability of the structures.
2. Analyse the stability of the various structural components and calculate the desired parameters to facilitate the design procedure to follow

Course Outcomes:

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UNIT 1: STATICS OF STRUCTURE 12Hrs

Introduction to different force systems, Coplanar and non coplanar, concurrent and non concurrent, parallel forces, Resolution and composition of co planar forces Law of parallelogram of forces and triangle of forces Types of parallel forces, principles of equilibrium and conditions of equilibrium , Lami’s theorem – statement, Problems on Resolution and composition of forces. Determining the magnitude and direction of Resultant for a system of concurrent and parallel forces( Bars loaded with only vertical forces)

UNIT 2: CENTRE OF GRAVITY AND MOMENT OF INERTIA 10Hrs

Definition of centre of gravity, Methods of Locating centre of gravity- Location of centre of gravity by geometrical consideration and by moment of area . Problems on locating centre of gravity for simple geometrical sections like L’ section T Section I Section and Z’ Section and simple sections of combined forms of rectangle and circular shapes. Moment of inertia -Definition, Expressions for moment of inertia for simple geometrical objects ( no derivation) , Theorem of perpendicular axis and parallel axis. Problems on determining moment of inertia of sections like L’ section T Section I Section and Z’ Section and simple sections of combined forms of rectangle and circular shapes. Radius of gyration – Definition Expression for radius of gyration

UNIT 3: SIMPLE STRESSES AND STRAINS 12Hrs

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UNIT 4 : BENDING MOMENT AND SHEAR FORCE 12Hrs

Types of beams : Cantilevers, Simply supported and Overhanging beams .Types of loads -Concentrated , U.D.L and uniformly increasing loads. Calculation of B.M and S.F for simply supported, cantilever and overhanging beams subjected to concentrated loads and UDL only. Point of contraflexture- Definition. Bending moment and shear force diagramsfor loaded beams

UNIT 5 : COLUMNS AND STRUTS 06Hrs

Concept of columns and struts, behaviour of long and short columns with different end conditions. Buckling in long columns .Effective lengths of columns as per Euler’s Theory. Slenderness ratio of long and short columns. Simple problems for determining Buckling loads for columns with different end conditions

Reference Books:

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.

LIST OF LEARNING WEBSITES:

1. https://en.wikipedia.org/wiki/Structural mechanics
2. http://www.engineerstudent.co.uk/stress and strain.pdf
3. http://www.iit.edu/arch/workshops/momentInertia
4. http://www.freestudy.couk.stress

Suggested List of Student Activities:

1. To locate centre of gravity of a irregular lamina made of card sheet or mount board
2. To prepare the model of columns using suitable material by simulating various end conditions to study its buckling behavior
3. To prepare model of a beam and study its deflection pattern
4. To device a Mechanism for verifying Lami’s theorem
5. To develop loading system to determine the young’s modulus of a thin wire

Execution Note:

1. Maximum of 2 students in each batch for student activity
2. Any two activities (either from the list given or any similar activities) shall be assigned among different batches; may be assigned by the teacher based on interest of the students.
3. Project activities shall be carried out throughout the semester and present the project report at the end of the semester; concerned teacher is expected to observe and record the progress of students’ activities
4. Submit qualitative hand-written report not exceeding 6 pages; one report per batch
5. Each of the activity can be carried out off-class well in advance; however, demonstration/presentation should be done during laboratory sessions
6. Assessment shall be based on quality of work as prescribed by the following rubrics table

Course Delivery:

• The course will be delivered through lectures and Power point presentations/ Video
• Teachers can encourage the students to take case study and make the report of the same

Model Question Paper:

(CIE)

1. explain coplanar concurrent, non concurrent and parallel force systems with supporting sketches or Explain resolution and composition of forces
2. Determine the magnitude and direction of a system coplanar concurrent force system shown in figure
3. Define moment of inertia with supporting sketch. Or State parallel and perpendicular axis theorem
4. Determine the centre of gravity for a angle section measuring 150mmx120mmx30mm

Model Question Paper:

PART A 6×5 =30marks

1. explain coplanar concurrent, non concurrent and parallel force systems with supporting sketches
2. State Lami’s Theorem along with sketch with proof
3. Define centre of gravity. Explain briefly the methods of locating centre of gravity
4. Explain the terms
1. Radius of gyration
2. polar moment of inertia
5. define the terms
1. elasticity
2. plasticity
3. compressive stress
4. tensile stress
6. Explain the points to be considered for determining the stresses in composite sections
7. Define bending moment and shear force with general sign convention
8. Explain different types of beams with supporting sketches
9. Out line the assumptions made in Euler’s columns theory.

PART B 7X10=70

1. Determine the magnitude and direction of a system coplanar concurrent force system shown in figure
2. Determine the support reaction for a loaded bar shown below
3. Determine the centre of gravity for a angle section measuring 150mmx120mmx30mm
4. Determine the moment of inertia for a T section with its flange measuring 20mmx 100mm and web of 80mmx 30mm
5. A steel bar 50mmthick and 300mm long is subjected to an axial pull of 84KN . Find the change in length , stress and strain in the bar if the young’s modulus of the material is 2x 105 N/mm2
6. A steel rod of 20mm Diameter and 6mtrs long is connected to two grips one at each end at

a temperature of 1200c . Find the pull exerted when the temperature falls to 400c

1. If end do not yield
2. if the ends yield by 2mm Take E=2x 105 N/mm2 and a = 12×10-6
7. A reinforced concrete column of size 400mmx 400mm is reinforced with 6 bars of 20mm diameter. The column is carrying an axial load of 400KN. Find the stresses in concrete and steel Take Es=2x 105N/mm2 and EC= ‘1.4X105N/mm2
8. A cantilever beam of span 5 mtrs is carrying a UDL 2KN/M for a span of 3mtrs from the fixed end. In addition to this a point load of 6KN is acting at its free end. Calculate SF, BM and also plot SFD and BMD.
9. A simply supported beam of span 6Mtrs is carrying a UDL of 2kN/M throughout its span and Two point loads 5KN and 8KN are placed at 2M and 4M from left support. Calculate shear force and bending moment. Also plot SFD and BMD
10. A strut ‘5.Mtrs long ,60mm in diameter is having one end fixed while the other end hinged . Find safe compressive load for the member using Eulers formula allowing factor of safety of ‘5. Take E = 2X105N/mm2

For detail syllabus of all other subjects of BE Archi, C15 scheme do visit Archi 3rd Sem syllabus for C15 scheme.

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