St. Martin's Engineering College DEPARTMENT OF CIVIL ENGINEERING
JNTU – R 13 Regulations I – semester COURSE DESCRIPTION Course Code
:
A50122
Course Title
:
STRENGTH OF MATERIALS - 1
Course Structure
:
Lectures Tutorials 4
Practical’s
1
Credits
-
4
Course Coordinator
:
T.SAI KRISHNA TEJA,ASST.Professor
Team of Instructors
:
T.Sai Krishna Teja, S V Prashanth
I.
Course over view: Civil Engineers are required to design structures like building, beams, dams, bridges, etc. This course is intended to introduce to calculating the all type of stress and strain, different loading condition like gradual, impact, shock loading for which stress and strain is developed in structural member, shear force diagram and bending moment diagram for different type of beams, theory of bending, concept of shear stress, calculating principal stress and principal strain by using Mohr’s circle method, theory of failures, slope and deflection of beams, moment area method, double integration and Macaulay’s methods and concept of conjugate beam method. By using this entire course content civil engineers can design the structures with durability.
II.
Prerequisite(s):
III.
Level
Credits
Periods/Week
Prerequisites
UG
4
5
ENGINEERING MECHANICS
Marks Distribution: Sessional Marks
University End Exam Marks
Total Marks
There shall be two midterm examinations. Each midterm examinations consist of easy paper, objective paper and assignment. The essay paper is for 10 marks of 60 minutes duration and shall contain 4 questions. The student has to answer 2 questions, each carrying 5 marks.
75
100
The objective paper is for 10 marks of 20 minutes duration. It consists of 10 multiple choice and 10 fillin-the-blank questions, the student has to answer all the questions and each carries half mark.
1
IV.
Course objectives: The objective of the teacher is to impart knowledge and abilities to the students to: 1. Relate mechanical properties of a material with its behavior under various load types 2. Classify the types of material according to the modes of failure and stress-strain curves. 3. Evaluate the stresses & strains in materials and deflections in beam members 4. Analysis and design of simple beams with shear force, bending moment, stress distribution. 5. Design simple beam members of different cross-sections to withstand the loads imposed on them. 6. Analyze a loaded structural member for deflections and failure strength
V.
Course outcomes After completing this course the student must demonstrate the knowledge and ability to: 1. 2. 3. 4. 5. 6.
Recall mechanical properties of materials and the methods of evaluating stresses and deflections. Compare different materials according to their mechanical behavior and failure types. Solve the problems of finding shear forces, bending moments, stresses & deflections in beams. Analyze a particular stress condition of a material for evaluating its safety and failure. Estimate the maximum safe load on a material or beam member by applying failure theories. Design a beam member of various sections to safely bear the stresses developed in it. 1. Solve simple engineering problems related to material strength and failures.
2
VI.
How program outcomes are assessed:
Program outcomes PO 1
PO 2
PO 3
PO 4
PO 5
PO 6 PO 7
An ability to apply knowledge of Mathematics, science and engineering for solving the complex problems and situations under the aegis of civil engineering An ability to observe, identify problems related to civil engineering and analyze with the help of basics of mathematics, natural sciences and engineering sciences and reaching relevant conclusions. An ability to formulate methods, processes and/or to design a civil engineering structure or a part of it to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability. An ability to design experiments by the use of research based knowledge and research methods to investigate complex civil engineering problems and phenomenon. An ability to use up to date tools such as software’s, techniques, design methods and equipment to solve civil engineering problems. An ability to apply the technical knowledge for the holistic development of society. An ability to evaluate the sustainability and impact of the engineering solutions devised on the society.
PO 8
An ability to understand professional and ethical responsibility.
PO 9
An ability to work as an individual or as a member of a team or as a team leader in diverse teams and multi disciplinary environments.
PO10
Level
3
Efficiency assessed by Assignments and exercises Hands on exercises
3 Design exercises, prepare data base 3
2
3 2 2 1
2
An ability to communicate in both verbal and written form 2
PO11
An ability to merge technical knowledge with financial and managerial principles to apply in own work and in multi disciplinary projects
2
PO12
An understanding of the need for keeping oneself abreast of up to date techniques and skills pertaining to the subject and to use it to face and succeed in competitive examinations like GATE, GRE, TOFEL, GMAT etc.
2
Oral discussions and exercises, seminar, document preparation Hands on practice training sessions , Design exercises Oral discussions Prepare documents, seminars and presentations Hands on practice session Design Exercises, Development of Prototypes, Mini Projects Seminars, Document Preparation and Presentation Design Exercises, Development of Prototypes, Mini & major Projects Exams, quiz, tutorials , discussions
3
Program Specific Outcomes PSO1
Identify engineering problems faced by people and find technical solutions by deriving research based methods, experiments, processes, software’s, and designing structures keeping in view the site specific societal, environmental, political, sustainable, safety and financial constraints. An ability to merge technical knowledge with financial and managerial principles to apply in own work and in multi disciplinary projects for the holistic development of society. Amalgate technical, co-curricular and soft skills training so that students can face and succeed in competitive examinations like GATE, GRE, TOFEL, GMAT etc.
PSO2
PSO3
1 = None
VI.
2= Supportive
Level
Efficiency assessed by Assignments and exercises
3
3 2
Hands on exercises Exams, quiz, tutorials , discussions
3= Highly Related
Syllabus:
Unit - I SIMPLE STRESSES AND STRAINS: Elasticity and plasticity – Types of stresses and strains – Hooke’s law – stress – strain diagram for mild steel – Working stress – Factor of safety – Lateral strain, Poisson’s ratio and volumetric strain – Elastic modulii and the relationship between them – Bars of varying section – composite bars – Temperature stresses. Elastic constants. STRAIN ENERGY: Resilience – Gradual, sudden, impact and shock loadings – simple applications. Unit - II SHEAR FORCE AND BENDING MOMENT: Definition of beam – Types of beams – Concept of shear force and bending moment – S.F and B.M diagrams for cantilever, simply supported and overhanging beams subjected to point loads, uniformly distributed load, uniformly varying loads and combination of these loads – Point of contraflexure – Relation between S.F., B.M and rate of loading at a section of a beam. Unit - III FLEXURAL STRESSES: Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y = E/R - Neutral axis – Determination of bending stresses – Section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections – Design of simple beam sections. SHEAR STRESSES: Derivation of formula – Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T angle sections. Unit - IV PRINCIPAL STRESSES AND STRAINS: Introduction – Stresses on an inclined section of a bar under axial loading – compound stresses – Normal and tangential stresses on an
4
inclined plane for biaxial stresses – Two perpendicular normal stresses accompanied by a state of simple shear – Mohr’s circle of stresses – Principal stresses and strains – Analytical and graphical solutions. THEORIES OF FAILURE: Introduction – Various theories of failure - Maximum Principal Stress Theory, Maximum Principal Strain Theory, Strain Energy and Shear Strain Energy Theory (Von Mises Theory). Unit – V DEFLECTION OF BEAMS : Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic line of a beam – Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, U.D.L, Uniformly varying load-Mohr’s theorems – Moment area method – application to simple cases including overhanging beams. CONJUGATE BEAM METHOD: Introduction – Concept of conjugate beam method, Difference between a real beam and a conjugate beam, Deflections of determinate beams with constant and different moments of inertia. Text Books: 1. Strength of materials by R. K. Bansal, Laxmi Publications (P) ltd., New Delhi, India. 2. Strength of materials by Dr. Sadhu Singh, Khanna Publications Ltd 3. Strength of Materials by R.K Rajput, S.Chand & Company Ltd.
Reference Books: 1. Strength of Materials by R. S. Khurmi, S. Chand publication New Delhi, India. 2. Strength of Materials by S.S.Bhavikatti, Vikas Publishing House Pvt. Ltd 3. Mechanics of Structures Vol –I by H.J.Shah and S.B.Junnarkar, Charotar Publishing House Pvt. Ltd. 4. Strength of Materials by S.S.Rattan, Tata McGraw Hill Education Pvt. Ltd. 5. Fundamentals of Solid Mechanics by M.L.Gambhir, PHI Learning Pvt. Ltd. 6. Strength of Materials by R.Subramanian, Oxford University Press. VII.
Course Plan: The course plan is meant as a guideline. There may probably be changes.
Lecture No. 1-2
3-4
5- 6 7-8 9-10
Course Learning Outcomes
Topics to be covered
References
Elasticity and Plasticity- types of stresses and strains-Hooks law stress – strain diagram for mild steel- Working stress – Factor of safety Bars of varying section .
Understanding the concept of elasticity and plasticity, Concept of stress and strain, Concept of hook’s law Explain Relation between stress and strain for mild steel factor of safety.
T1,R1, R6
Understand the concept of bars for varying section. Understand the concept of composite bars and temperature stresses Explain lateral strain Poisson’s ratio, volumetric strain, elastic modulii and relation between them
T1,R1, R6
composite bars – Temperature stresses Lateral strain, Poisson’s ratio and volumetric strain – Elastic modulii and the relationship between them.
T1,R1, R6
T1,R1, R6 T1,R1, R6
5
Lecture No. 11-12
Topics to be covered
References
Elastic constants.
Explain Bulk modulus longitudinal strain, lateral strain and relation between them
T1,R1, R6
13-14
Resilience – Gradual, sudden, impact and shock loadings – simple applications
T1, R3
29-33
Definition of beam – Types of beams – Concept of shear force and bending of beams S.F and B.M diagrams for cantilever subjected to point loads, uniformly distributed load, uniformly varying loads and combination of these loads – Point of contra flexure S.F and B.M diagrams simply supported subjected to point loads, uniformly distributed load, uniformly varying loads and combination of these loads – Point of contra flexure S.F and B.M diagrams simply supported subjected to point loads, uniformly distributed load, uniformly varying loads and combination of these loads – Point of contra flexure Relation between S.F., B.M and rate of loading at a section of a beam FLEXURAL STRESSES: Theory of simple bending – Assumptions – Derivation of bending equation: M/I = f/y= E/R Neutral axis – Determination of bending stresses Section modulus of rectangular and circular sections (Solid and Hollow), I,T, Angle and Channel sections Design of simple beam sections
Explain resilience, proof resilience, modulus of resilience. Derive strain energy for various loadings and simple applications Define beam, types of beams Explain the concept of shear force and bending moment Derive and evaluate the shear force and bending moment for cantilever beam for various types of loading and solved problems
15-16
17-19
20-22
23-25
26
27-28 29-30
31-32 33-35
36-37
Course Learning Outcomes
SHEAR STRESSES: Derivation of formula – Shear stress distribution across various beam sections like rectangular circular, triangular, I, T angle sections. PRINCIPLE STRESSES AND PLAINS: Introduction – Stresses on an inclined section of a bar under axial loading –compound stresses
T1, R3
T2, R2,R4,R5
Derive and evaluate the shear-force and bending moment for simply supported beam for various types of loading and solved problems.
T2, R2,R4,R5
Derive and evaluate the shear-force and bending moment for overhanging beam for various types of loading and solved problems
T2, R2,R4,R5
loading at a section of a beam shear force and bending moment and rate of loading at a section for beams Explain the concept of simple bending and derive equation of simple bending
T2, R2,R4,R5
Define neutral axis and determine the bending stresses for various conditions Derive the section modulus for rectangular, circular, I, T sections and solved problems
T2, R2,R4,R5
Solve problems for design of simple problems
T1, R3
Derive the formula for shear stress and evaluate the shear stress distribution across various beam sections like rectangular, circular, triangular I, T angle sections
T1, R3
Define principal stresses and strains. Explain the stresses on a inclined section of a bar under axial loading and explain the concept of compound stresses
T2, R2,R4,R5
T2, R2,R4,R5
T1, R3
6
Lecture No. 38-39
40-41 42-45
46-47
48-49
50-52
53-58
59-61
62-65
VIII.
Course Learning Outcomes
Topics to be covered
References
Normal and tangential stresses on an inclined plane for biaxial stresses – Two perpendicular normal stresses accompanied by a state of simple shear Mohr’s circle of stresses – Principal stresses and strains – Analytical and graphical solutions THEORIES OF FAILURE: Introduction – Various theories of failure – Maximum Principal Stress Theory Maximum Principal Strain Theory, Strain Energy and Shear Strain Energy Theory (Von Mises Theory). DEFLECTION OF BEAMS: Bending into a circular arc – slope, deflection and radius of curvature – Differential equation for the elastic line of a beam Double integration and Macaulay’s methods – Determination of slope and deflection for cantilever and simply supported beams subjected to point loads U.D.L, Uniformly varying load Mohr’s theorems – Moment area method – application to simple cases including overhanging beams. Conjugate Beam Method: Introduction Concept of conjugate beam method. Difference between a real beam and a conjugate beam Deflections of determinate beams with constant and different moments of inertia.
Evaluate Normal and tangential stresses on an inclined plane for biaxial stresses and evaluate stresses for two perpendicular normal stresses accompanied by a state of simple shear
T2, R2,R4,R5
Explain the concept of mohr’s circle of stresses and derive the principal stresses and strains using analytical and graphical method. Explain Maximum Principal Stress Theory and evaluate failure criteria
T2, R2,R4,R5
Explain Maximum Principal Strain Theory, Strain Energy and Shear Strain Energy Theory (Von Mises Theory) and evaluate failure criteria Derive relation between slope, deflection and radius of curvature and derive the differential equation for the elastic line of a beam
T1, R3
T2, R2,R4,R5
Determine slope and deflection for cantilever and simply supported beams subjected to point loads, U.D.L, Uniformly varying load using Double integration and Macaulay’s methods
T2, R2,R4,R5
Explain mohr’s theorem and moment area method and apply it to simple beams.
T1,R1, R6,
Explain conjugate beam method and differentiate between real beam and a conjugate beam.
T1,R1, R6,
Solve problems for deflection of beams with constant and different moments of inertia
T1, R3
Mapping course objectives leading to the achievement of the program outcomes &program specific outcomes. Program Specific Outcomes
Program Outcomes
Course Objectives PO1
PO2
PO3
I
PO4 3
II III
T1, R3
PO5
PO6 3 3
3
3
PO7
PO8
PO9
PO10
PO11
PO12
PSO2
PSO3
1
2 3
PSO1
2
2 2
3
7
2
IV
3
V
3
3
3
3
2
1: Low
3
2 2
2: Medium
3
2 2
3: Highly related
Mapping course outcomes leading to the achievement of the program outcomes &program specific outcomes. Course Outcomes
Program Outcomes PO1
PO2
PO3
3
1 2 3
3
4 5
PO4
3
3
3
3
3
3
3
PO5
PO6
PO9
PO10
PO11
PO12
2
3 2
7
3
3
2 2
3 3
2: Medium
PSO2
PSO3
3 3
2
3 3
PSO1
2
2
3
1: Low
PO8
3 2
6
8
PO7
Program Specific Outcomes
2
2
3
2
3
2
3
2 3 3
2
3: Highly related
8
2
