Fluid Mechanics-I (ME-204)
(Fluid Dynamics)
(Course Instructor Dr. Murtuza)
Text Book
Fundamentals of Fluid Mechanics (4th Edition)
by
Munson, Young & Okiishi
Reference
1) Fluid Mechanics
by F. M. White
2) Fluid Mechanics
by J. B. Franzini
Sessional Marks
Dry Friction
Friction is a subject of Tribology a branch of mechanical engineering and material
science
Friction is a reaction force that resist motion between two contacting surfaces due to roughness,
inter-surface adhesion, surface contaminations and p
Statics (ME-106)
(Course instructor: Dr. Murtuza)
Books:
1) Engineering Mechanics Statics (12th Edition or 9th Edition) by R. C. Hibbeler
Chapters
Chapter # 04 Moment of Force (2D & 3D)
Chapter # 08 Dry Friction
Chapter # 09 Centroid & Center of Mass
Chap
Chain Rule of Differentiation
It is primarily used to find the time derivative of a variable when the variable is a function of
some other variable.
Ex: If
Find
The Taylors Series
Taylors series can be used to represent an infinitesimal (extremely small)
Water Pumps
Water pumps are devices designed to
convert mechanical energy to hydraulic
energy. All forms of water pumps may be
classified into two basic categories:
turbo-hydraulic
pumps,
positive-displacement pumps.
Turbo-hydraulic pumps are:
centrif
20/04/2014
Shear and diagonal tension
Introduction
When a beam is loaded, bending moments and shear
forces develop along the beam.
To carry the loads safely, the beam must be designed
for both types of forces.
Flexural design is considered first to est
ABDUL BASIT SHAIKH 1
CE-091
Assignment: 02
Name: Abdul Basit Shaikh
Roll Number: CE-091
Batch: 2011-2012
Year: Third Year
Department: Civil Engineering
Topic: Singly Reinforced Beams
Course Code: CE-304
Subject: Reinforcement Concrete Design
Submitted to:
Derivation of Energy Equation
The total energy (e) of the system consist of all forms of internal energies (on microscopic
level), and kinetic & potential energy (on macroscopic level).
From first law of thermodynamics we know that the rate of change of
Vapor Pressure (pv )
All liquids and solids exert a pressure above their free surface known as the vapor pressure due
to evaporation.
This pressure is dependent on the operating temperature as shown in the figure below.
The pressure is due to the escap
Lagrange Method of Describing Fluid Motion
Path of individual fluid particle is tracked w.r.t time only.
Hence all flow properties becomes function of time. V=V(t), S=S(t) & p=p(t).
Newtons laws and conservation of mass & energy directly applies to eac
Stability of Submerged &
Floating Bodies
Stability can be defined as the ability (by virtue of the
design) to withstand applied disturbance to the
equilibrium position.
All floating as well submerged objects can be in 1)
Stable equilibrium 2) Unstable e
Fluid Statics
(Chap # 02)
Fluid will be static or moving in such a way that there is no relative motion between particles
(rigid body motion of fluids).
Only pressure, its distribution within the fluid and the fluid weight will be considered.
Shear str
Hydrostatic Force on an Inclined Plane Surface
Hydrostatic forces always act on objects that are
submerged in a fluid.
For a static fluid these forces always act perpendicular to
the surface since the shear forces are absent.
Applications:
Dams
Pressu
Fluid Mechanics-I (ME-204)
(Course Instructor Dr. Murtuza)
Text Book
Fundamentals of Fluid Mechanics (4th Edition)
by
Munson, Young & Okiishi
Sessional Marks Distribution
1) Mid term Exam = 20 marks
2) Assignments/Reports/Tests = 15 marks
3) Class behavio
Buoyancy Force
Buoyancy force (FB) is due to the
fact that pressure increases with
the depth therefore, if a body is
fully or partially immersed in a
liquid a net upward force acts on
it.
Buoyancy force can either be
represented by an upward vertical
fo
Elementary Fluid Dynamics
(The Bernoulli Equation)
The equation was developed by a physicist named Daniel Bernoulli (1700-1782).
Bernoulli equation is only used for inviscid ( = 0), incompressible ( = constant), steady state
(time independent) and irrot
Pressure Distribution in Rigid Body Rotation of a Fluid
Applications:
Centrifuge (used for the separation of immiscible substances e.g. liquid & air bubbles).
Rotation of air in the core region of the tornado/cyclone.
Accretion disks (orbital motion of
The Dimensional Analysis
Experimentation is a widely used technique in fluid mechanics.
In an experiment, effect of independent variables can be investigated on an output variable.
Dimensional Analysis (DA) is a tool that can help us in reducing the nu
CONTENTS
Solutions Manual Chapter
Chapter
2
Properties of Reinforced Concrete
3
Flexural Analysis of Reinforced Concrete Beams
4
Flexural Design of Reinforced Concrete Beams
6
Deflection and Control of Cracking
7
Development Length of Reinforcing Bars
8
S
QUESTION # 4.1(b)
fy (ksi)
fc' (ksi)
60
d (inch)
4
Mu (k-ft)
b (inch)
32
18
969.2
As (in2)
Ru (ksi)
0.9 7.6200293 0.0132292 0.6309896
USE 8#9 bars
clear spacing
area (in2)
1
stirrup
dia. (in)
0.75 31-Dec
3
No.of bar
b(min)
11.625
if b(min) b then section
CE-304: Reinforced Concrete Design I
Lecture 01
Reinforced concrete
Commonly used all over the world
Two component material: concrete and steel
Concrete resists compression
Steel resists tensile forces
Wide applications in buildings and other structu
QUESTION # 4.3 ()
fy (ksi)
60
fc' (ksi)
3
Mu (k-ft) be (inch) bw(inch) t (inch)
d (inch)
378
44
14
3
15.5
0.9
assume a=t
Mn(K-ft)
353.43
if Mn is Mu then section behave as RECTANGULAR SECTION
Ru (ksi)
As (in2)
0.401207 0.008226
5.61
USE 8#9 bars in 2-ro
ABDUL BASIT SHAIKH 1
CE-091
Assignment: 02
Name: Abdul Basit Shaikh
Roll Number: CE-091
Batch: 2011-2012
Year: Third Year
Department: Civil Engineering
Topic: Singly Reinforced Beams
Course Code: CE-304
Subject: Reinforcement Concrete Design
Submitted to:
QUESTION # 4.2(F)
d' (inch)
2.5
d (inch)
0.9
fy (ksi)
60
b (inch)
22
18
Theoritical capacity
As1 (in2) Ru (max)
7.128
fc'
(ksi)
4
Mu
(k-ft)
855
(max)
0.817
0.018
Mn (max) in(Kft)
593.142
if Mn (max) Mu
singly r/f is not adequate
c (inch)
8.221453
a (inch)
Flexural Analysis of Reinforced Concrete
Beams
Lecture 09
Introduction
In designing RC members, three main
considerations have to made:
The safety of structure
Deflection of structural member under service loads
Control of cracking under service loads