MUZAFFARPUR INSTITUTE OF TECHNOLOGY, Muzaffarpur

COURSE FILE

OF Structural analysis II

(011X16)

Faculty Name:

Mr. Vijay Kumar Assistant Professor, Department of Civil Engineering Mr. Pushkar Shivechchhu Assistant Professor, Department of Civil Engineering

Content

S.No. Topic Page No.

1 Vision of department 2 Mission of department 3 PEO’s 4 PO’s 5 Course objectives and course outcomes(Co) 6 Mapping of CO’s with PO’s 7 Course syllabus and GATE syllabus 8 Time table

9 Student list

10 Lecture plans

11 Assignments

12 Tutorial sheets

13 Seasonal question paper

14 University question paper

15 Question bank

16 Course materials 17 Result

18 Result analysis

19 Quality measurement sheets

VISION OF DEPARTMENT

To get recognized as prestigious civil engineering program at national and international level through continuous education, research and innovation.

MISSION OF DEPARTMENT

 To create the environment for innovative and smart ideas for generation of professionals to serve the nation and world with latest technologies in Civil Engineering.  To develop intellectual professionals with skill for work in industry, acedamia and public sector organizations and entrepreneur with their technical capabilities to succeed in their fields.  To build up competitiveness, leadership, moral, ethical and managerial skill.

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs):

Graduates are expected to attain Program Educational Objectives within three to four years after the graduation. Following PEOs of Department of Civil Engineering have been laid down based on the needs of the programs constituencies:

PEO1: Contribute to the development of civil engineering projects being undertaken by Govt. and private or any other sector companies. PEO2: Pursue higher education and contribute to teaching, research and development of civil engineering and related field. PEO3: Successful career as an entrepreneur in civil engineering industry

PROGRAMME OUTCOMES (PO)

PO1 Engineering knowledge: An ability to apply the knowledge of mathematics, science, engineering fundamentals, and an engineering specialization to get the solution of the engineering problems.

PO2 Problem analysis: Ability to Identify, formulates, review research literature, and analyze complex engineering problems.

PO3 Design/development of solutions: Ability to design solutions for complex engineering problems by considering social, economical and environmental aspects.

PO4 Conduct investigations of complex problems: Use research-based knowledge to design, conduct analyse experiments to get valid conclusion.

PO5 Modern tool usage: ability to create, select, and apply appropriate techniques, and to model complex engineering activities with an understanding of the limitations.

PO6 The engineer and society: Ability to apply knowledge by considering social health, safety, legal and cultural issues.

PO7 Environment and sustainability: Understanding of the impact of the adopted engineering solutions in social and environmental contexts.

PO8 Ethics: Understanding of the ethical issues of the civil engineering and applying ethical principles in engineering practices.

PO9 Individual and teamwork: Ability to work effectively as an individual or in team, as a member or as a leader.

PO10 Communication: An ability to communicate clearly and effectively through different modes of communication.

PO11 Project management and finance: Ability to handle project and to manage finance related issue

PO12 Life-long learning: Recognize the need for, and have the preparation and ability to engage in independent and life-long learning.

COURSE OBJECTIVE AND COURSE OUTCOMES:

Institute/college Name MuzaffarpurInsittute of Technology, Muzaffarpur Program Name B.Tech. Civil (VI semester) Course Code/course credits 011X16 Course Name Structural Analysis II Lecture/ Sessional (per week) 3/0 SEE duration 3 hours Course Coordinator Name Vijay Kumar / Pushkar Shivechchhu

Course Objectives

1. To extend the concepts taught in structural analysis Ι (determinate structures) to indeterminate structures. 2. To enable the students to feel how real life structures behave. 3. To be able to analyze indeterminate structures using various methods. 4. To make students familiar with finite element method. 5. To make students enable with latest software used for structural analysis.

Course Outcomes

1. Analysis of indeterminate structures using various methods. 2. Analysis of indeterminate structures due to settlement of support. 3. Apply the concept of ILD for indeterminate structures. 4. Apply basic concepts of finite element method. 5. Analysis of structure using latest software.

MAPPING OF COs AND POs

CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12

CO1 3 3 ------1 - 2

CO2 3 3 - 2 1 - - - - 1 - 2

CO3 3 3 ------1 - 2

CO4 3 3 - 2 1 - - - - 1 - 2

CO5 - - - 2 2 ------

Correlation level: 1- slight (Low) 2- moderate (Medium) 3-substantial (High)

COURSE SYLLABUS:

No of Topics lectures Analysis of statically indeterminate structures: fixed beams and propped 12 cantilevers by conjugate beam method; Theorem of three moments. Influence lines for propped cantilever, two hinged arches. Introduction to force and displacement methods: consistent deformation 6 Energy method: slope-deflection and moment distribution; Analysis of 2 hinged 6 arches Matrix formulation of force and displacement methods : Solution of 12 simultaneous equations: Stiffness matrix approach with reference to computer application; generation of frame element stiffness matrix, Torsion effect; Concept of local effects, generation of load vector, Effects of finite joints; application to plane frames, space frames, grid structures. Finite element Method for 2-D, Plane problems- introduction 6 Introduction to Structural analysis Software. 2

GATE Syllabus of structural engineering: Statically determinate and indeterminate structures by force/ energy methods; Method of superposition; Analysis of trusses, arches, beams, cables and frames; Displacement methods: Slope deflection and moment distribution methods; Influence lines; Stiffness and flexibility methods of structural analysis.

MUZAFFARPUR INSTITUTE OF TECHNOLOGY th B.Tech. 6 (Sixth) Semester (2015 Batch) PROVISIONAL TIME TABLE WITH EFFECT FROM 01.02.2018

DAY Branch I (10-10.50AM) II (10.50-11.40AM) III (11.40-12.30PM) IV (12.30-01.20PM) V (01.50-2.40PM) VI (2.40-3.30PM) VII (3.30-4.20PM) MON Mech Elect Civil EC IT PHAR TUE Mech Elect Civil EC IT PHAR WED Mech Elect Civil - EC IT PHAR THU Mech Elect Civil Structure Analysis (VK) 48 EC IT PHAR FRI Mech Elect

Civil Structure Analysis (PS) 48 EC IT PHAR SAT Mech Elect Civil Structure Analysis (VK) 48

Asst.Prof.-in-charge (TT) Prof.-in-charge (TT) Principal

STUDENT LIST:

S.NO. Roll No Name 1 15C01 mohsin jamil md nasir 2 15C02 kumar shubham 3 15C03 santosh kumar 4 15C04 raja babu 5 15C05 krishna kumar 6 15C06 saanjeet kumar 7 15C07 madhu rani 8 15C08 rahul kumar 9 15C10 md. junaid akhter 10 15C12 divesh kumar 11 15C13 dilip kumar 12 15C14 prashant prabhakar 13 15C15 priya kumari 14 15C16 hemant kumar ravi 15 15C17 deepak kumar 16 15C18 chandra rohit kumar 17 15C20 praween kumar 18 15C21 ketan kumar 19 15C22 kumar saurav 20 15C23 priyanshu 21 15C24 ranjeet kumar 22 15C25 chandan kumar 23 15C26 aman kumar 24 15C27 shubham kumar 25 15C28 jay prakash kumar 26 15C29 siraj anwer khan 27 15C30 punahani pahuja 28 15C31 md. zeeshan haider 29 15C32 jay nandan kumar 30 15C33 uma shankar pandit 31 15C34 surbhi rani 32 15C35 rajesh kumar sharma 33 15C37 priyanshu prasad gond 34 15C38 sudhir kumar 35 15C39 md. asif khan 36 15C40 abhishek kumar 37 15C41 abhishek kumar 38 15C42 md. akram 39 15C43 saurabh 40 15C44 puja kumari 41 15C45 pramod kumar 42 15C46 deepak kumar adig 43 15C48 suraj kumar 44 15C49 sumit kumar 45 15C50 rishav raj 46 15C51 jugnu kumar 47 15C52 sanni kumar 48 15C53 mulayam singh kush 49 15C54 venkatesh jha 50 15C56 krishlay kumar keshav 51 15C57 prashant kumar singh 52 15C58 md. firoj alam 53 15C59 surya prakash 54 15C60 sumit kumar sacsena 55 15C61 azhar hussain 56 15C62 chiranjeevi bhushan sharma 57 15C63 rahul kumar 58 15C64 meghnath kumar 59 15C65 akshay kumar 60 16(LE)C02 shabara khanam 61 16(LE)C03 raj bindu prasad 62 16(LE)C04 chandan kumar 63 16(LE)C07 vikash kumar 64 16(LE)C08 anish kumar 65 16(LE)C09 kumar aditya 66 16(LE)C10 sangram singh 67 14C28 ashwani kumar singh

Text Books: TB1:Structural Analysis by R C Hibbeler TB2: Basic structure Analysis by C S Reddy TB3: Matrix analysis of framed structure by Weaver and Gere TB4:Finite Element Analysis by Sayeed Moaveni

Reference Books: RB1: Structure Analysis by Bhavikatti RB2: Structure Analysis –A matrix approach by G S Pandit and S P Gupta RB3: Theory of Structures –by S Ramamrutham RB4: Finite Element Analysis by C S Krishnamoorthy

COURSE PLAN

Lecture Text Book / Reference Book / Other reading Topics Number material

1-5 fixed beams and propped cantilevers by TB1, RB3 conjugate beam 6-8 Theorem of three moments TB1, RB3 9-12 Continuous beams and two hinged TB1, RB3 arches. 13-18 Introduction to force and displacement TB2, TB3,RB1, RB2 methods : Consistent deformation. 19-21 Slope –deflection method TB1, RB1, RB3 22-24 moment distribution method TB1, RB1, RB3 25-28 Matrix formulation of force and TB2, TB3,RB1, RB2 displacement methods 29-34 Stiffness TB2, TB3,RB1, RB2 matrix approach with reference to computer application; generation of frame element stiffness matrix, Torsion effect; Concept of local effects 35-38 Application to plane frames space TB2, TB3,RB1, RB2 frames and grid structure 39-44 Finite element Method RB4 TB4 for 2-D plane problems -introduction 45-46 Introduction to Structural analysis Software

DETAILS OF ASSIGNMENTS:

S.No. Assignment Topic No. 1 Assignment 1 1 2 Assignment 2 2 3 Assignment 3 3

Department of Civil Engineering Structural analysis Ⅱ (011616)

ASSIGNMENT 1

1. Analyze the fixed beam using conjugate beam method then draw the SFD and BMD. Flexural rigidity EI of the beam is constant.

2. Analyse the fixed beam using conjugate beam method then draw the SFD and BMD. Flexural rigidity EI of the beam is constant

3. Analyze the continuous beam shown in the figure below using three moment equation. Draw SFD and BMD. Flexural rigidity EI of the beam is constant.

4. Draw the ILD for reaction at A, shear force and bending moment at D. flexural rigidity EI is constant

ASSIGNMENT 2

1. Analyze the continuous beam shown in the figure using the method of consistent deformation. EI is constant for the entire beam.

2. Analyze the frame using the method of consistent deformation. EI of frame is constant. Draw the bending moment diagram.

3. Analyse the two hinged parabolic arch shown in the figure below. Find the value of bending moment, horizontal thrust and normal shear at 20 m from the left support. Assume I=I0 sec α, where I0 is the moment of inertia at the crown and α is the slope at the section under consideration. Also find the maximum bending moment.

4. Analyse the continuous beam shown in the figure below using slope deflection method. Draw SFD and BMD. Flexural rigidity EI of the beam is constant.

5. Analyse the frame shown in the figure below using slope deflection method. Also draw the bending moment diagram.

ASSIGNMENT 3

1. Analyse the continuous beam shown in the figure below using moment distribution method if support B sinks by 10 mm. Take E=200x106 kN/m2 and I=100x10-6 m4.

2. Analyse the frame shown in the figure below using moment distribution method. Also draw the bending moment diagram.

3. Analyse the continuous beam shown in the figure below using flexibility method. Draw the bending moment diagram.

4. Analyse the frame shown in the figure below using flexibility method. Also draw the bending moment diagram.

5. Analyse the continuous beam shown in the figure below using stiffness method.

6. Analyse the frame shown in the figure below using stiffness method. Also draw the bending moment diagram.

B.Tech 4th Semester Mid-Term Examination, 2018

Structural Analysis-II

Subject Code: 011X06

Time: 2 hours Full Marks: 20

Instructions:

(i) Attempt any four questions. (ii) Question No. 1 is compulsory.

1. Chose the correct option of the following (any five) (a) Degree of kinematic indeterminacy of pin jointed plane frame is given by: (i) 2j-r (ii) r-2j (iii) 3j-r (iv) r-3j (b) Bending moment at any section in conjugate beam gives in the actual beam (i) Slope (ii) Deflection (iii) Curvature (iv) Bending moment (c) Which of the following is a force method? (i) Slope deflection (ii) Moment distribution (iii) Column analogy method (iv) None of these (d) Degree of kinematic indeterminacy of rigid jointed plane frame is given by (i) 2j-r (ii) r-2j (iii) 3j-r (iv) r-3j (e) Degree of static indeterminacy of rigid jointed plane frame is given by (i) 3m+r-3j (ii) m+r-2j (iii) 6m+r-6j (iv) None of these

(f) Principle of superposition is applicable when

(i) Deflections are linear functions of applied forces

(ii)Material obeys Hooke’s Law

(iii)Action of applied forces will be affected by small deformations of the structure

(iv) None of these

(g) The Castigliano second theorem can be used to compute deflections

(i) At the point under the load only

(ii) For beams and frames only

(iii) For any type of structures

(iv) For statically determinate structures only

2. A beam of total length 2l is simply supported on three supports. Two supports are at the end and one at the middle of the beam. Whereas the moment of inertia of the right span of the beam is I, that of the left span is 2I. Both span carries a uniformly distributed load at the rate of W per unit length. Calculate the reactions at all supports.

3. A propped cantilever of span l is carrying u.d.l. at the rate W/unit length over entire length l from the fixed end. Determine the reactions. Use conjugate beam method.

4. Analyze the following continuous beam shown in figure using three moment

theorem. Assume E and I to be same. Ass

5. A parabolic arch hinged at the ends has a span of 60 m and a rise of 12 m. A concentrated load of 8kN acts at 15m from the left hinge. The second moment of area varies as the secant of the inclination of the arch axis. Calculate the horizontal thrust and the reactions at the hinge. Also calculate the net bending moment at the section.

6. Analyze the following structure shown in Figure.

BEST OF LUCK

Question Bank:-

Result of the students

Class Attendance Mid Sem Total Test Marks Marks Marks S.No. Roll No. Name of students Marks 1 15C01 MOHSIN JAMIL MD NASIR 4 4 10 18 2 15C02 KUMAR SHUBHAM 5 5 16 26 3 15C03 SANTOSH KUMAR 5 5 20 30 4 15C04 RAJA BABU 3 4 14 21 5 15C05 KRISHNA KUMAR 5 5 20 30 6 15C06 SAANJEET KUMAR 4 4 11 19 7 15C07 MADHU RANI 5 5 17 27 8 15C08 RAHUL KUMAR 4 4 14 22 9 15C10 MD. JUNAID AKHTER 5 4 14 23 10 15C12 DIVESH KUMAR 5 5 17 27 11 15C13 DILIP KUMAR 5 4 15 24 12 15C14 PRASHANT PRABHAKAR 5 4 13 22 13 15C15 PRIYA KUMARI 5 5 17 27 14 15C16 HEMANT KUMAR RAVI 4 4 11 19 15 15C17 DEEPAK KUMAR 4 4 14 22 16 15C18 CHANDRA ROHIT KUMAR 4 4 12 20 17 15C20 PRAWEEN KUMAR 4 4 12 20 18 15C21 KETAN KUMAR 4 4 13 21 19 15C22 KUMAR SAURABH 5 5 19 29 20 15C23 PRIYANSHU 4 4 10 18 21 15C24 RANJEET KUMAR 4 5 AB 9 22 15C25 CHANDAN KUMAR 4 4 10 18 23 15C26 AMAN KUMAR 5 5 18 28 24 15C27 SHUBHAM KUMAR 4 4 12 20 25 15C28 JAY PRAKASH KUMAR 5 5 16 26 26 15C29 SIRAJ ANWER KHAN 5 5 18 28 27 15C30 PUNAHANI PAHUJA 4 4 12 20 28 15C31 MD. ZEESHAN HAIDER 4 4 10 18 29 15C32 JAY NANDAN KUMAR 4 4 13 21 30 15C33 UMA SHANKAR PANDIT 4 4 12 20 31 15C34 SURBHI RANI 5 5 15 25 32 15C35 RAJESH KUMAR SHARMA 5 5 17 27 33 15C37 PRIYANSHU PRASAD GOND 4 4 14 22 34 15C38 SUDHIR KUMAR 4 4 10 18 35 15C39 MD. ASIF KHAN 4 4 10 18 36 15C40 ABHISHEK KUMAR 4 4 12 20 37 15C41 ABHISHEK KUMAR 4 4 10 18 38 15C42 MD. AKRAM 4 4 10 18 39 15C43 SAURABH 5 5 14 24 40 15C44 PUJA KUMARI 4 4 10 18 41 15C45 PRAMOD KUMAR 4 4 10 18 42 15C46 DEEPAK KUMAR ADIG 4 4 10 18 43 15C48 SURAJ KUMAR 5 5 19 29 44 15C49 SUMIT KUMAR 4 5 14 23 45 15C50 RISHAV RAJ 5 5 16 26 46 15C51 JUGNU KUMAR 4 4 10 18 47 15C52 SANNI KUMAR 4 4 10 18 48 15C53 MULAYAM SINGH KUSH 5 5 16 26 49 15C54 VENKATESH JHA 4 4 11 19 50 15C56 KRISHLAY KUMAR KESHAV 4 4 11 19 51 15C57 PRASHANT KUMAR SINGH 4 4 10 18 52 15C58 MD. FIROJ ALAM 4 4 10 18 53 15C59 SURYA PRAKASH 4 4 10 18 54 15C60 SUMIT KUMAR SACSENA 4 4 11 19 55 15C61 AZHAR HUSSAIN 5 5 18 28 CHIRANJEEVI BHUSHAN 56 15C62 SHARMA 4 4 11 19 57 15C63 RAHUL KUMAR 4 4 10 18 58 15C64 MEGHNATH KUMAR 5 5 15 25 59 15C65 AKSHAY KUMAR 5 5 13 23 60 16(LE)C02 SHABARA KHANAM 4 4 12 20 61 16(LE)C03 RAJ BINDU PRASAD 4 4 10 18 62 16(LE)C04 CHANDAN KUMAR 4 4 10 18 63 16(LE)C07 VIKASH KUMAR 5 5 20 30 64 16(LE)C08 ANISH KUMAR 5 5 16 26 65 16(LE)C09 KUMAR ADITYA 4 4 12 20 66 16(LE)C10 SANGRAM SINGH 4 4 10 18 67 14C28 ASHWANI KUMAR SINGH 4 4 11 19

RESULT ANALYSIS

40 Theory 35 <60% 30 60-70% 25 70-80% 80-90% 20 90-100%

15 Number students of Number 10

5

0 1

CO MAPPING WITH DIRECTASSESSMENT TOOLS

COs CT1 MSE SEE LAB Assignment

CO1 - Q1, - A1,A2,A3 Q2,Q3,Q4,Q5,Q6 CO2 - Q6 - A2 CO3 Q1 Q5, Q6 - CO4 - - -

Quality Measurement Sheets

a. Course End Survey

ACADEMIC YEAR: 2018 SEM: 6th DATE: 01/05/2018 COURSE: B.Tech CLASS: Structural FACULTY: Mr. Vijay Kumar/ Mr. Analysis -II Pushkar Shivchechhu Please evaluate on the following scale:

Excellent(E) Good(G) Average(A) Poor(P) No Comment(NC) 5 4 3 2 1

SNO QUESTIONAIRE E G A P NC Avg 5 4 3 2 1 % GENERAL OBJECTIVES: 1 Did the course achieve its stated objectives? 5 100 2 Have you acquired the stated skills? 5 100 3 Whether the syllabus content is adequate to achieve the 3 60 objectives? 4 Whether the instructor has helped you in acquiring the stated 3 60 skills? 5 Whether the instructor has given real life applications of the 4 80 course? 6 Whether tests, assignments, projects and grading were fair? 4 80 7 The instructional approach (es) used was (were) appropriate to 4 80 the course. 8 The instructor motivated me to do my best work. 4 80 9 I gave my best effort in this course 4 80 10 To what extent you feel the course outcomes have been achieved. 4 80 Please provide written comments:

a) What was the most effective part of this course? Analysis of Indeterminate structures using mathematical modeling.

b) What are your suggestions, if any, for changes that would improve this course? Syllabus needs further modification.

c) Given all that you learned as a result of this course, what do you consider to be most important? None.

d) Do you have any additional comments or clarifications to make regarding your responses to any particular survey item? None.

e) Do you have any additional comments or suggestions that go beyond issues addressed on this survey? None.

TEACHING EVALUATION

COLLEGE NAME

Department of Civil Engineering

Course Assessment

ACADEMIC YEAR: 2018 SEM: 6th DATE: 12/05/2018

COURSE: B.Tech CLASS: Structural FACULTY: Mr. Vijay Kumar/ Mr.

Analysis- II Pushkar Shivchechhu

Assessment Criteria Used Attainment Level Remarks Direct (d) Theory External Marks ___ Internal Marks (Theory) 2.5/3 83% Assignments 3 100% Tutorials NA NA Indirect (id) Course End Survey 4/5 80% Theory: Course Assessment (0.6 × d+ 0.4 × id) 81.8%