Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lecture 4
1
Lect 4
Performance
of a
basic Jet engine
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect 4
Simple single spool turbojet engine
Axial Compressor
Comb. Chamber
Turbine
Single shaft
Nozzle
Prof. Bhaskar Roy, Prof.
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Calculus of Variations and Finite Elements
Andreas Stahel
November 21, 2012
c Andreas Stahel, 1999
All rights reserved. This work may not be translated or copied in whole or in part without the written permission by
the author, except for brief excerpts i
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Chapter9
Stability of equilibrium: Buckling
Jitendra S Rathore
Column:
Slender member design to carry compressive loads
Pcritical
RB
Design of a structure/system
ability of a structure to support a
given load
1. Without excessiv
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Stresses due to bending
Lecture 3
Ex 7.2:
Determine the maximum tensile and compressive bending
stresses in T shaped beam due to constant bending
moment and show the distribution of these stresses.
2
BITS Pilani, Pilani Campus
E
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Stresses due to bending
Lecture 4
Stresses due to bending:
x
Mb y
I NA
A
xy
VQ
b I NA
Q ydA yA
y
y
B
y
b
2
BITS Pilani, Pilani Campus
Ex :
The beam ABC has simple supports at A and B and an
overhang from B to C. The length of
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Chapter 7
Stresses due to bending
Stresses due to bending:
Slender member subjected to transverse loading
Axial force
F
A
Shear force
V
A
Twisting moment (Mxx or Mt )
Mtr
Ix
M xz
Bending moment (Mb)
Mxy, Mxz
2
BITS Pila
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect8
1
Lect8
In this lecture.
Cycle components and component
performance
Intake
Compressor/fan
Combustion chamber
Turbine
Nozzle
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect8
Cycle components
Jet engine cycle has
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect6
1
Lect6
In this lecture.
Brayton cycles
Ideal Brayton cycle
Variants of Brayton cycle
Actual/real Brayton cycle
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect6
Brayton cycle
The Brayton cycle was proposed by
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect30
1
Lect30
In this lecture.
Subsonic and supersonic nozzles
Working of these nozzles
Performance parameters for nozzles
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect30
Variation of fluid velocity with flow
are
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lecture 26
1
Lect 26
Combustion
Fuel Injectors
Flame Stablization
Combustion Instability
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect 26
Fuel injection
Most commonly used injection system in
aircraft gas turbine engines
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lecture 25
1
Lect 25
Combustion Parameters
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect 25
Pressure losses
Combustion chamber pressure loss is due to two
causes i) Skin friction, mixing and turbulence, and
ii) The rise
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect19
1
Lect19
In this lecture.
Performance characteristics of
centrifugal compressors
Surging and choking
Tutorial on centrifugal compressors
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect19
Performance characteri
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect39
1
Lect39
In this lecture.
Components of ramjets and pulsejets
Ramjet combustors
Types of pulsejets: valved and
valveless, Pulse detonation engines
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect39
Ramjet engin
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect7
1
Lect7
In this lecture.
Jet engine cycles for aircraft propulsion
Turbojet engine
Turbojet engine with afterburning
Turbofan and its variants
Turboprop and turboshaft engines
Ramjet engines
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Ae
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect10
1
Lect10
In this lecture.
Real cycle analysis
Turbojet engine
Turbojet with afterburning
Turbofan engine
Turboprop and turboshaft engines
Prof. Bhaskar Roy, Prof. A M Pradeep, Department of Aerospace, IIT Bombay
2
Lect10
Real cycle for turbojet
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Fall 2015
Lect14
1
Lect14
In this lecture.
Axial flow compressors
Basic operation of axial compressors
Velocity triangles
Work and compression
Design parameters
Flow coefficient
Loading coefficient
Degree of reaction
Diffusion factor
Prof. Bhaskar Roy, Prof.
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Chapter 7
Stresses due to bending (Lecture 2)
Jitendra Rathore
Pure bending : assumptions
1. Plane crosssections remain
plane & perpendicular to
plane of symmetry
2. Original straight longitudinal
lines
become
arcs
of
concentri
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Torsion
Lecture 2 and 3
Jitendra S Rathore
Overall conclusion:
Longitudinal
lines become
twisted
Circle remain
circular
Radial lines
remain straight
No expansion or contraction of circular crosssection
No lengthening or shorteni
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Summer 2013
BITS Pilani
Pilani Campus
Chapter 5 (Lecture 4 & 5)
Stress StrainTemperature Relations
Jitendra S Rathore
Ex :
A copper bar with a rectangular cross section is held
without stress between rigid supports. Subsequently, the
temperature of the bar is raised
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Spring 2015
BITS Pilani
Pilani Campus
Chapter 3
Points to revise
J S Rathore
Point of contraflexure:
A point where curvature of beam changes sign.
Occurs at a point on the beam where bending
moment changes sign.
Also known as Point of inflexion.
C
2
BITS Pilani,
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Spring 2015
P2.6:
Rotation
+
Translation
Rotation
1
BITS Pilani, Pilani Campus
Assignment 2:
The truss consists of three members each made of steel
(E = 205 GPa) 20 cm and having a cross sectional area of 5 cm2.
Applying the energy method (i.e. Castigliano method) de
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Spring 2010
Machine Learning, 6, 161182 (1991)
1991 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands.
Letter Recognition Using HollandStyle
Adaptive Classifiers
PETER W. FREY
Department of Psychology, Northwestern University, Evanston, IL 60208
Birla Institute of Technology & Science, Pilani  Hyderabad
MECHANICS OF MATERIALS
MECHANICAL ME305

Spring 2010
bread
jam
sunflowe tomato_p chicken
r_oil
uree
veal
fish
meat
cheese
ton
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