Muzaffarpur Institute of Technology,
Muzaffarpur
COURSE FILE
OF
Mechanics of Solids-II
(CE 011X13)
Faculty Name:
Kumar Utkarsh, Pushkar Shivechchhu,
Assistant Professor, Department of Civil Engineering
CONTENTS
1. Cover Page & Content
2. Vision of the Department
3. Mission of the department
4. PEO’s and PO’s
5. Course objectives & course outcomes (CO’s)
6. Mapping of CO’s with PO’s
7. Course Syllabus
8. Time table
9. Student list
10. Lecture Plan
11. Assignments
12. Sessional Question
13. Mid-Semester Exam Question Paper
14. University Question Papers (Old)
15. Result Analysis
16. CO Mapping with direct assessment tool
17. Quality Measurement Sheets
a. Course End Survey
b. Teaching Evaluation
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.
pPO8 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 Muzaffarpur Insittute of Technology, Muzaffarpur
Program Name B.Tech. Civil
Course Code/course credits 011X13
Course Name Mechanics of Solids-II
Lecture/ Sessional (per week) 3/0
Course coordinator name Kumar Utkarsh and Pushkar Shivechchhu
Course Description
This course is designed to review the fundamentals and practices of Design of Steel Structures
within the Civil Engineering curriculum. This course is part of Structural engineering.
Knowledge of this subject will be applied in the design of Steel Connections, Tension Members
Compression Members, Beams, Girders and Plastic analysis of Beams and Frames etc. The
concepts of this course are applicable in all civil engineering structures. The Design of Steel
Structures curriculum is designed to prepare interested students for a future career in the field of
Structural Engineering, Earthquake and Wind Engineering.
Course Objectives
To introduce to students the theory and application of analysis and design of steel
structures.
To develop students with an understanding of the behavior and design of steel members
and system.
To prepare students for the effective use of latest IS Code.
Course outcomes:
Upon completion of this Course, students should be able to:
CO1: Recognize the manufacturing process and the material properties of steel products.
CO2: Recognize the design philosophy of steel structures and concept on limit and working state
design.
CO3: Understanding the behavior of steel structures, in particular the various forms of failure for
members and connections under tension, compression, bending and combined actions.
CO4: Apply the principles, procedures and current code requirements to the analysis and design
of steel tension members, beams, columns, beam-columns and connections.
MAPPING OF COs AND POs
CO/PO PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
CO1 2 - - - - - 1 - - 1 - 1
CO2 3 3 3 - 1 - 1 - - - 1
CO3 3 3 3 3 - - - - - - - 1
CO4 3 3 3 2 1 1 - 1 - - - 1
Correlation level: 1- slight (Low) 2- moderate (Medium) 3-substantial (High)
SYLLABUS
Theory:
1. Introduction to elasticity theory; Simple 2D/3D problems and their solutions.
2. Pure bending of beams with unsymmetrical section; Shear Centre; Torsion of noncircular
members.
3. Curved Beams: Beams on elastic foundation.
4. Plastic Theory, plastic hinges and shape factor, uniqueness, upper bound and lower
bound theorems; Failure theories.
5. Energy methods :Introduction to viscoelasticity and viscoplasticity; Numerical methods
6. Stability of Equilibrium :columns, Euler’s formula, Eccentric loading, end conditions and
effective length,
7. Practical Design formulae
8. Coupled axial force and bending moment problems; coupled torsion and bending moment
problems.
MUZAFFARPUR INSTITUTE OF TECHNOLOGY
B.Tech. 5th
(Sixth) Semester PROVISIONAL TIME TABLE WITH EFFECT FROM
01.02.2018
DAY Branch I (9-
10AM)
II (10-
11AM)
III (11-
12PM)
IV (12-
01PM)
V (02-03PM) VI (03-04PM) VII (04-05PM)
MON Mech
Elect
Civil
EC
IT
LT
PHAR
TUE Mech
Elect
Civil MOS-II (KU) 48
EC
IT
LT
PHAR
WED Mech
Elect
Civil -
EC
IT
LT
PHAR
THU Mech
Elect
Civil
EC
IT
LT
PHAR
FRI Mech
Elect
Civil MOS-II
(KU) 48
EC
IT
LT
PHAR
SAT Mech
Elect
Civil MOS-II
(KU) 48
STUDENTS LIST
Sl. No. ROLL NUMBER NAME
1 16C01 MANI SHANKAR
2 16C02 NAVNEET KUMAR NAYAN
3 16C03 SWATI
4 16C04 PULKIT PAWAN
5 16C05 GHYANENDAR KUMAR
6 16C06 SAURABH KUMAR
7 16C07 SUMIT KUMAR GUPTA
8 16C08 JAY PRAKASH KUMAR
9 16C09 AYUSH ANANT
10 16C10 AKASH KUMAR
11 16C11 PAWAN KUMAR
12 16C12 SHAMBHU KUMAR
13 16C13 RICHA SINHA
14 16C14 RAJEEV RANJAN
15 16C15 RAHUL RANJAN
16 16C18 RIYA KUMARI
17 16C19 BIPIN BIHARI
18 16C21 BIPIN KUMAR PATEL
19 16C22 KAVIRANJAN KUMAR
20 16C23 SONU KUMAR
21 16C24 RUDRA PRATAP
22 16C25 SHIVAM KUMAR SINGH
23 16C26 RAUSHAN KUMAR
24 16C27 VIVEK KUMAR
25 16C28 MD QAMRE ALAM
26 16C30 SONU RAJ
27 16C31 RAJ KUMAR PRASAD
28 16C32 JYOTI KUMARI
29 16C33 CHANDAN KUMAR
30 16C34 DEEPAK KUMAR
31 16C35 SONU KUMAR
32 16C36 VIBHISHAN KUMAR
33 16C37 AKHILESH KUMAR
34 16C38 SUMIT KUMAR
35 16C39 RAUSHAN KUMAR
36 16C42 DILIP KUMAR
37 16C43 MANISH KUMAR
38 16C44 RAHUL KUMAR MISHRA
39 16C45 JAGAT NARAYAN
40 16C46 YASHBINDRA KUMAR
41 16C47 GOLDEN KUMAR
42 16C48 ANKIT KUMAR
43 16C49 AVINASH KUMAR
44 16C50 ROHIT KUMAR
45 16C51 HITESH KUMAR SAH
46 16C52 ROSHAN KUMAR
47 16C53 MANISH KUMAR
48 16C55 PANKAJ KUMAR
49 16C56 RAUSHAN KUMAR
50 16C57 RAKESH KUMAR
51 16C58 ASHISH KUMAR
52 16C59 SANJEEV KUMAR
53 16C60 SONU KUMAR
54 16C61 ABHIJEET RAJ
55 16C62 RISABH KUMAR
56 16C63 SHASHI SHEKHAR KUMAR
57 16C64 SANDEEP KUMAR GUDDU
58 16C65 SIKHA PURNIMA
59 15C09 RAMESH KUMAR
60 15C36 SAURABH KUMAR SINGH
61 17(LE)C01 RATNESH PASWAN
62 17(LE)C02 SHASHI KUMAR
63 17(LE)C03 PANKAJ KUMAR
64 17(LE)C04 SAROJ KUMAR
65 17(LE)C05 RUPESH KUMAR
66 17(LE)C06 PRABHAT RANJAN
67 17(LE)C07 KISHANKANT KUMAR
68 17(LE)C08 HASAN RAZA
69 17(LE)C09 MD. ATHRIUAN ANSARI
70 17(LE)C10 MD. HASNAIN
TEXT BOOKS
TB 1 Advanced Mechanics of Materials by A.P. Boresi, and O.M. Sidebottom, Fifth
Edition, Wiley, Singapore
TB 2 Mechanics of Solid, Singh by A.K., PHI, New Delhi
TB 3 Strength of Materials Vol. 2 by S.P. Timoshenko, CBS Publishers, Delhi
TB 4 Advance Mechanics of Solid by L.S.Srinath
LECTURE PLAN
Topic No. Topic No. of
Lecture/
lecture
no.
Textbook
1. Introduction To Elasticity
Theory
4 TB 1, TB 2, TB 3, TB 4
Stress and Strain Tensor
Stress and Strain Tensor
(Continued) and Cauchy Formula
for Traction
2
Calculation of Tractions, Principal
Stresses and Directions, Maximum
Shear Stress
1
Transformation of Stresses and
Mohr Circle in 3-D, Mohr circle in
2-D with example Deformation,
Rotation and Strain Tensors,
Principal Strains,Deviatori and
Hydrostatic Strains
1
2. Pure Bending of Beams with
Unsymmetrical section
5 TB 1, TB 2, TB 3, TB 4
Introduction, Straight beams and
Asymmetrical bending
2
Shear Centre, Torsion of general
prismatic bars-solids sections,
torsion of rectangular bars
3
3 Curved Beams 5 TB 1, TB 2, TB 3, TB 4
Introduction, Circular beam,
circular arc fixed at ends
5
4 Plastic Theory and Analysis 6 TB 1, TB 2, TB 3, TB 4
Introduction, Behaviour beyond
Elastic limit,
2
Plastic hinge concept, Shape
Factor, Load factor, Upper bound
and Lower bound theorems,
Failure theories
4
5 Energy Methods 7 TB 1, TB 2, TB 3, TB 4
Introduction, Elastic strain energy,
Virtual work Principle,
Classical Energy Methods : Strain
energy and complementary Strain
Energy Theorems, Castigliano’s
theorem
6 Stability of Columns 5 TB 1, TB 2, TB 3, TB 4
Examples of instability, Column
Buckling theory : Euler load for
columns with pinned end and
Different End Constraints.
7 Coupled Axial Force and
Bending Momenr
8 TB 1, TB 2, TB 3, TB 4
Elastic bending with Axial loads,
combined bending under Axial
and Transverse loads, Coupled
Torsion and Bending moment
Total Number of Lecture 42
Evaluation And Examination Blue Print:
Internal assessment is done through quiz tests, presentation, assignments and project work.
Examination rules and regulations are uploaded on the student’s portal. Evaluation is very
transparent process and the answer sheets of sessional tests, internal assessment, and assignment
are returned back to the students.
The components of evaluations along with their weightage followed by the university are given
below:
Sessional test 1 20%
Assignment/quiz/ 05%
Attendance 05%
End term examination 70%
ASSIGNMENT 1
1. A rectangular Steel bar having a cross-section 2 cm x 3 cm is subjected to a tensile force
of 6000 N is acting along x- direction. Determine the normal and shear stresses on a
plane whose normal has the following direction cosines.
i. NX =NY=1/ , NZ=0
ii. NX=0, NY=NZ=1/
2. At a point P in a Body,
N/cm2, Determine the normal and
shearing stresses on a plane that is equally inclined to all three axes.
3. Derive Cauchy’s Stress Formula.
4. Derive Equality of Cross Shears.
5. Define Stress invariants.
6. At a point P, the rectangular stress components are all in units of kPa. Find the principal
stresses and check for invariance.
Stress at point P=
kPa
7. With respect to the frame of reference OXYZ, the following state of stress exists.
Determine the principal stresses and their associated directions. Also, check on the
invariances of I1, I2,I3.
Stress tensor =
8. For the given state of stress. Determine the principal stresses and their directions.
Stress tensor =
9. The given stress at any point P is
Determine the principal stresses and
Direction.
10. Define the state of pure shear and also show the stress matrix. What is octahedral stresses
and write formula for octahedral normal stresses and octahedral shear stresses.
UNIVERSITY QUESTION PAPERS (OLD)
