ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #10: Energy Method (Castigliano's Theorem) and Stability of Columns
For Practice Only
Prob.#1
A load P is supported at B by two rods of
the same material and of the same crosssectional area A a

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #5: Material-Property Relations & Yield/Failure Criterion
Due September 26, 2013
Prob.#1
Determine the elongation of the square hollow bar
when it is subjected to the axial force P=100 kN. If
t

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #6: Flexural Members- Shear Force and Bending Moments
Due October 3, 2013
Prob.#1
Draw the shear and moment diagrams for the
simply supported beam.
Prob.#2
Draw the shear and moment diagrams fo

ESO202A: MECHANICS OF SOLIDS
SEMESTER I: 2013
Homework #1: Equilibrium of Forces
Due August 14, 2013
Prob.#1
Determine the moment of the force F about point A
as a function of . Plot the results of M (ordinate) versus
(abscissa) for varying between 0 and

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #8: Flexural Members- Deflection of Elastic Curve
Due November 7, 2013
Prob.#1
Determine the equation for elastic
deflection curve, maximum slope and
maximum deflection of the simply
supported

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #7: Flexural Members- Normal and Transverse Stress
Due October 24, 2013
Prob.#1
Determine the absolute maximum bending
stress in the 80 mm diameter shaft which
is subjected to the concentrated

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #9: Torsion and Combined Loadings
Due November 15, 2013
Prob.#1
The motor delivers a torque of
50 Nm to the shaft AB. This torque is
transmitted to shaft CD using the
gears at E and F. Determin

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #4: Analysis of Strain
Due September 12, 2013
Prob.#1
The piece of rubber is originally rectangular and
subjected to the deformation shown by the dashed
lines. Determine (a) the average shear s

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #2: Axially Loaded Deformable Bodies
Due August 29, 2013
Prob.#1
ax
The circular bar of length L has a variable radius of r=roe and is made of a material having a
modulus of elasticity of E. It

ESO202A/204: MECHANICS OF SOLIDS
SEMESTER I: 2013-14
Homework #3: Analysis of Stress
Due September 05, 2013
Prob.#1
Determine the normal stress and shear stress acting on
the inclined plane AB. Solve the problem using the
method of equilibrium applied to

Lecture 17
The essential points in science is not complicated
mathematical
formalism
or
ritualized
experimentation. Rather the heart of science is
kind of shrewd honesty that springs from really
wanting to know what the hell is going on.
Saul Paul Sirag
T

AVAILABLE ENERGY
Lecture 23
Lecture 23
As the entropy of the universe is on increasing
trend, the basic law of life is to organize
ourselves meticulously so that we can struggle
against entropy to sustain our life harmoniously
on this earth.
D. P. Mishra

Lecture
Lecture 29
How can question be answered without contemplating,
Question can have no meaning without exploring,
Question develops its own wings without pondering,
Unknown becomes known with the mind illuminating.
th
ill
D. P. Mishra
Dual cycle:
Ott

Lecture 24
Lecture 24
Currently most of our electrical and mechanical
power are being generated using heat engines
based on the thermodynamic cycles. This
includes our coal, oil, and gas fired utilities,
nuclear power plants, our scooters, cars, trucks,
t

Lecture 5
We have no right to assume that any physical laws
exist or if they have existed up to now, that they will
continue to exist in a similar manner.
Max Planck
What do you mean by Process ?
Process: Any change in system from one equilibrium
Process:

Lecture 12
Love for mother is a great virtue,
Love for motherland is definitely a greater virtue,
for motherland is definitely greater virtue,
Love for humanity is the greatest virtue,
Which are to be experienced in our life.
D. P. Mishra
Mi
1st Law of Th

Lecture 18
Any intelligent fool can make things bigger and more
complex. It takes a touch of genius - and a lot of
courage to move in the opposite direction.
Albert Einstein
For a process to occur 1st law of TD must satisfy.
TD
Q: Is it sufficient to stat

Lecture 14
Asking a question is not the end of a thing,
One can assume it to be a humble beginning,
If explored earnestly without bothering,
One can definitely have a happy ending.
D. P. Mishra
First law of thermodynamics for flow system:
On
On several oc

Perfect Gas Law
Equation of state: Any equation that relates the pressure, temperature,
and specific volume of a substance.
The simplest and best-known equation of state for substances in the gas
phase is the ideal-gas equation of state. This equation pre

Lecture
Lecture 9
The world is full of abundance and opportunity, but far
too many people come to the fountain of life with a
sieve instead of steam
sieve, instead of a steam shovel. They expect little and
They expect little and
as a result they get littl

ESO- 202
Thermodynamics
Instructor
D. P. Mishra,
Department of Aerospace Engg.
mishra@iitk.ac.in
Tutors
Name
Email Id
Section
Room No
S MAHESH, AE
sjmahesh@
I1
TB101
P A APTE, CHE
APTE, CHE
papte@
I2
TB102
ANIL KUMAR,
CHE
anilk@
I3
TB103
A K AGARWAL,
AGAR

Lecture 8
A person who has never made a mistake never tried anything
new.
Albert Einstein
Allsubstanceschangetheirspecificvolume, whensubjected
toachangeinPorT.
IncompressibleFluid:
Changein issmall.Ex: Solid,Liquid
Howtocharacterizeitquantitatively?
Isot

Lecture
Lecture 7
I keep six honest serving-men,
They taught me all I knew;
Their names are What and Why
And When and How and Where and Who.
Wh
Wh
Wh
Rudyard Kipling,
Noble laureate
laureate
What do you mean by State Postulate?
For a given thermodynamic s