National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
11. Higher derivatives
We rst record a very useful:
Theorem 11.1. Let A Rn be an open subset. Let f : A Rm and
g : A Rm be two functions and suppose that P A. Let A be
a scalar.
If f and g are dierentiable at P , then
(1) f + g is dierentiable at P and D(
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
7. Functions
Denition 7.1. A function f : A B consists of:
(1) the set A, which is called the domain of f ,
(2) the set B, which is called the range of f ,
(3) a rule which assigns to every element a A an element b B,
which we denote by f (a).
It is ea
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
13. Implicit functions
Consider the curve y 2 = x in the plane R2 ,
C = cfw_ (x, y) R2  y 2 = x .
This is not the graph of a function, and yet it is quite close to the graph
of a function.
Given any point on the graph, lets say the point (2, 4), we can a
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Programming for Engineers I
Class 03
Computing Concepts: Operators and Logic
Attique Dawood
January 31, 2013
1
Revision
To become a good programmer take interest. Intelligence helps but practice can make
up for that to a certain extent.
Programming lang
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
9. The derivative
The derivative of a function represents the best linear approximation
of that function. In one variable, we are looking for the equation of
a straight line. We know a point on the line so that we only need to
determine the slope.
Denitio
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
12. Chain rule
Theorem 12.1 (Chain Rule). Let U Rn and let V Rm be two
open subsets. Let f : U V and g : V Rp be two functions.
If f is dierentiable at P and g is dierentiable at Q = f (P ), then
g f : U Rp is dierentiable at P , with derivative:
D(g f )(
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
10. More about derivatives
The main result is:
Theorem 10.1. Let A Rn be an open subset and let f : A Rm
be a function.
If the partial derivatives
fi
,
xj
exist and are continuous, then f is dierentiable.
We will need:
Theorem 10.2 (Mean value theorem). L
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Programming for Engineers I
Class 02
Compilation Steps
Attique Dawood
January 24, 2013
1
How Computers Work?
Different components; CPU, Memory (RAM), hard disk, I/O devices.
CPU is the brain of the computer.
The purpose of using a computer is to make t
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Programming for Engineers I
Class 01
Introduction
Attique Dawood
January 23, 2013
1
About the Course
Course Title: Programming for Engineers I
Instructor: Attique Dawood
Contact: attique DOT dawood AT nu DOT edu DOT pk
Text Book: C+ How to Program by Deit
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
SOIL MECHANICS  II
CE324
Time rate of consolidation
(Terzaghis Consolidation Theory)
NUST Institute of Civil Engineering (NICE)
1
Timerate of consolidation
The time required to reduce the excess pore water pressure is
primarily a function of the distan
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Soil Mechanics II
CE324
Site Characterization
NUST Institute of Civil Engineering (NICE)
1
Introduction
Adequate knowledge of ground conditions is very important
for analysis, design, and construction of geosystems.
Project delays, legal wrangling, soi
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Foundation Engineering I
CE325
Chapter 1: Lateral earth pressure
Dr. Jamil
NUST Institute of Civil Engineering (NICE)
School of Civil & Env. Engineering (SCEE)
1
Lateral earth pressure
Retaining structures (e.g. retaining walls, basement
walls) are comm
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Empirical Relationships for Determining Undrained Shear
Strength Mobilized At Full Scaled Failure
Introduction:
Undrained strength stability analysis (USSA) of undrained
failure of soft clay and silt deposits requires undrained shear
strength as a direct
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
A square footing is to be constructed as shown in Figure. The
groundwater
table
is
at
a
depth of 50 ft below the ground surface. Compute the
ultimate
bearing
capacity
and
the
column
load required to produce a bearing capacity failure.
The proposed continu
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
A square footing is to be constructed as shown in Figure. The
groundwater
table
is
at
a
depth of 50 ft below the ground surface. Compute the
ultimate
bearing
capacity
and
the
column
load required to produce a bearing capacity failure.
The proposed continu
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Foundation Engineering I
CE325
Coulombs earth pressure theory
Dr. Jamil
NUST Institute of Civil Engineering (NICE)
School of Civil & Env. Engineering (SCEE)
1
Coulombs earth pressure theory
2
Coulombs earth pressure theory
3
Coulombs earth pressure theor
National University of Sciences & Technology, Islamabad
Introduction to Building Materials
CIVIL ENGI CE101

Spring 2017
Empirical
Methods Based on Observed Settlement of Structures
and Full Scale Prototypes. These methods are empirical
in nature and are correlated with the results of the
standard in situ tests such as the standard penetration
test (SPT) and the cone penetr
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
5 3% 5297/6 4, 7 7 gag,1 V2.
Hg: 6&3. 42e/WE 24: 2&7: 112/07 1.;
5:25"; 9/: ' '
4 4 4
V
A.
.
'~:
. ' i A
a \
V l . 1
.1 US jrlj CB?UCJ "gaff/1107!) 0/5 [gf'yj'nc 7%]1: :I/(r,f7/' *':2:1 f1], 3], (If)
XT i E C :>
' I 1 f C 1%
E1 [9541/ : 0.3S1PCHC +
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
COURSE OBJECTIVE
The objective of this course is to learn how to ANALYZE
and DESIGN REINFORCED CONCRETE structures.
To achieve such objective, one should understand the
need to REINFORCE concrete as well as understanding
the fundamentals of concrete as
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
H.ElChabib, PhD., P. Eng.
DESIGN OF SINGLY RC BEAMS
DESIGN OF SINGLY RC BEAMS
Objectives: Read pages 195220 in text book
Design of TBeams:
Know how to determine the effective flange width,
be
Know when to design a T beam as a rectangular
beam or as a
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
H.ElChabib, PhD., P. Eng.
DESIGN OF SINGLY RC BEAMS
Objectives: Read pages 195220 in text book
Know the difference between analysis and design
Know the basic requirement for the flexural design
of reinforced concrete members.
Recognize where flexural
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
Hassan ElChabib, PhD, P.Eng.
FLEXURAL ANALYSIS OF T BEAMS
FLEXURAL ANALYSIS OF T BEAMS
Objectives: Read: Chapter 4 (pp.152164), Wight
Understand the concept of T beam
Determine the effective width of the flange
according to ACI 31814
Determine the d
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
Objectives:
Read: chapter 2: Sections 2.12.4, 2.6, and 2.72.9 , Wight
Identify and determine the magnitude of different
types of load
Learn how and when to reduce live load
Learn how to convert surface load (psf) to line load
(plf/klf) or point load
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
H. ElChabib, PhD. P. Eng.
PENN STATE UNIVERSITY
Department of Civil and Environmental Engineering
CE 341 Design of Reinforced Concrete Structures
(Tbeam subjected to negative moment)
Example 5.3
Design a Tbeam with a length, L = 18ft and spacing betwe
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
Hassan ElChabib, PhD, P.Eng.
FLEXURAL ANALYSIS AND DESIGN OF
RECTANGULAR DOUBLY RC BEAMS
Objectives: Read pages 220228 in text book
Determine if you need to design a section as a DR section
Know how to determine the maximum area of tension steel
in a
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
H.ElChabib, PhD., P. Eng.
DESIGN OF SINGLY RC BEAMS
Objectives: Read pages 195220 in text book
Know how to determine the effective flange width,
be
Know when to design a T beam as a rectangular
beam or as a T beam
Design a T beam using trial and erro
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
Properties of Concrete
COURSE OBJECTIVE
The objective of this course is to learn how to ANALYZE
Properties of concrete that affect its structural performance
includes:
and DESIGN REINFORCED CONCRETE structures.
To achieve such objective, one should unde
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
SHEAR DESIGN OF RC BEAMS
SHEAR DESIGN OF RC BEAMS
Objectives: Read pages 243286 in text book
Know how to determine the ultimate shear value, Vu
at a critical section
Determine the shear capacity of concrete, Vc
Identify where shear reinforcement is ne
National University of Sciences & Technology, Islamabad
Design of concrete
CIVIL ENGI CE304

Summer 2017
H. ElChabib, PhD, P. Eng.
STRENGTH ANALYSIS OF BEAMS
Objectives: Read: Chapter 4 (pp.111142), Wight
Determine the depth of the equivalent compression
block (a) of reinforced concrete section,
Plot the strain diagram, stress diagram, and force
diagram