CIVL 232 Structural Concrete Design
Assignment 7 (Tuesday, 13 May 2004; Due date: Tuesday, 18 May 2004)
Short columns with uniaxial and biaxial bending, slender columns
1. Design the longitudinal steel and links for a 350 mm square, short braced column
wh
3.2
Shear Strength of Beams with Shear Reinforcement
The complementary shear stress gives rise to diagonal tensile and
diagonal compressive stresses.
Taking a simplified view, concrete is weak in tension, and shear
failure is then caused by a failure in
6.3
Two-way Solid Slabs (ly / lx 2)
(Solid slabs spanning in two directions)
6.3.1 Failure behaviour
Crack pattern at failure
Lifting
(simply-supported slab)
bottom face
Fig. 6.3-1 Crack pattern at failure
Loading on supporting beams
yield line
Beam B
Fi
Structural Concrete Design
Course Notes for CIVL 232
by
J S Kuang
Department of Civil Engineering
Hong Kong University of Science and Technology
Copyright@ by J.S. Kuang
Chapter One
_
Design of Reinforced Concrete
1.1
Introduction
1.1.1 Reinforced concret
2.3
Singly Reinforced Rectangular Section in Bending
2.3.1 Design formulae
The design formulae are derived using the BS 8110 simplified
stress block.
z = la d
Fst
s
Fig. 2.3-1 Singly reinforced section with rectangular stress block
(1) Design formulae
For
CIVL 232 Design of Structural Concrete
Assignment 6: Continuous beams, one-way and two-way slabs, staircases
Assigned: Thursday 4 May 2006
Due date: Thursday 11 May 2006
1. The floor plan and slab arrangement of a building are shown in Fig. 6.1. The slab
CIVL 232 Design of Structural Concrete
Spring 2006
Solutions of Assignment 6
Question 6.1
(a) Design for the secondary beam S1-S2-S3-S4-S5-S6
The floor plan is shown as follows:
Loadi ng t r ansf er t o secondar y beam S1- S2- S3- S4- S5- S6
Loads transfe
CIVL 232 Mid-term Quiz
1. Tuesday, 21 March 2006, 9:00 am 10:20 am
2. Rooms: 2502 and 2407
Room 2502 for those whose first character of surnames is from
A to L;
Room 2407 for those whose first character of surnames is from
M to Z.
3. Contents of the Quiz
CIVL 232 Design of Structural Concrete
Solution to Assignment 2
2.1 (a) Under-reinforced beam: The failure of an under-reinforced beam is
characterised by large steel strains, and hence by extensive cracking of the
concrete and by substantial deflection.
CIVL 232 Design of Structural Concrete
Assignment 4: Sections subjected to axial load and uniaxial bending; shear in sections
Assigned: Tuesday 28 March 2006
Due date: Tuesday 4 April 2006
4.1 A rectangular column section of breadth 350 mm and depth 600 m
CIVL 232 Design of Structural Concrete
Spring 2006
Solutions of Assignment 5
Question 5.1
(a) The bond coefficient for bars in tension (Type 2 deformed bars)
= 0.5
The ultimate anchorage bond stress
f bu =
f cu = 0.5 30 = 2.74 N/mm 2
Hence the ultimate
CIVL 232 Design of Structural Concrete
Assignment 6 (Thursday, 29 April 2004; Due date: 8 May 2004)
Continuous beams, one-way and two-way slabs, staircases
1. The floor plan and slab arrangement of a building are shown in Fig. 6.1. The slab
depth is assum
CIVL 232 Design of Structural Concrete
Assignment 4 (Thursday, 25 2004)
Sections subjected to axial load and uniaxial bending; shear of RC beam sections
4.1 Construct an approximate M-N interaction diagram for the column section with h =
400 mm, d = 350 m
CIVL 232 Design of Structural Concrete
Assignment 3 (Tuesday, 9 March 2004)
Doubly reinforced and flanged sections in bending
1. (a) Derive the equation for the condition to ensure yielding of the compression steel
at the ultimate limit state.
(b) Derive
1.2
Limit State Design (Design to BS 8110)
1.2.1 Introduction
The design of engineering structures must ensure:
o The structure is safe under the worst loading.
o The deformation of the members does not detract from the
appearance, durability or performa
Chapter Two
_
Analysis of Sections of Reinforced Concrete Members
2.1
Design Stress-Strain Curves
Short-term stress-strain curves in BS 8110: Part 1: 1997 are presented in
Figs 2.1 and 2.2.
These curves are in an idealised form and are used in
the analysi
(2) Moment redistribution of reinforced concrete beam sections
Once a RC beam section develops its ultimate moment of
resistance Mu , it then behaves as a plastic hinge (Fig. 2.3-6) due to
(1) the plastic behaviour of concrete (Fig. 2.1-1), and
(2) the e
2.5
Flanged Section in Bending (T-beam and L-beam sections)
Fig. 2.5-1 T-beams and L-beams in building systems
Neutral axis in flange
Section at span
Section at support
Neutral axis in web
Section at span
Fig. 2.5-2 Location of neutral axis in T-beams
Act
3.4
Sections Subjected to Torsion
3.4.1 Reinforced concrete members subjected to torsion
Reinforced concrete members are commonly subjected to bending
moments, to transverse shears associated with those bending moments
and, in the case of columns, to axia
4.5
Cracking
4.5.1 Methods for crack control
Excessive cracking and wide deep cracks will
o affect durability; and
o lead to corrosion of reinforcement although strength may not be
affected.
BS 8110: Part 1, clause 3.12.11.2.1 and Part 2, clauses 3.2.4
7.5
Biaxial Bending Short Columns
7.5.1 Section subjected to an axial load acting at two major eccentricities
Consider the column section shown in Fig. 7.5-1 is subjected to a
load N acting at eccentricities ex and ey :
Mx = Ney and My = Nex
y
ex
N
ey
x
(
CIVL 232 Structural Concrete Design
Assignment 1 (Thursday, 12 February 2002)
1. (a) Describe two principal types of limit state in the limit state design.
(b) Why should we introduce the partial factors of safety for materials (m) and for
loads (f) in re
1.3
Analysis of the Structure
1.3.1 Load combinations
(1) Load combinations for the ultimate limit state
The arrangement of loads should be such as to cause the most
severe effects, i.e. the most severe stresses.
The design ultimate
load should be obtaine
1.3.3 Analysis of frames supporting vertical and lateral loads
Building frames
Braced frames
two types:
Unbraced frames
o A braced frame is designed to resist vertical loads only (such as
dead and imposed loads).
o An unbraced frame is designed to resi
Chapter Seven
_
Design of Reinforced Concrete Columns
7.1
Columns in Buildings
7.1.1 Types of columns
Columns in a building carry loads from the beams and slabs down
to the foundations. They are primarily compression members.
In general, columns also ha
CIVL 232 Design of Structural Concrete
Solution to Assignment 1
1. Solution
(a) Two principal types of limited state:
Ultimate limit state: The whole structure or its components should not
collapse, overturn or buckle when subjected to design loads.
Servi
CIVL 232 Design of Structural Concrete
Assignment 2 (Tuesday, 2 March 2004)
Singly reinforced sections in bending, moment redistribution
2.1 (a) Describe the failure characteristics of an under-reinforced beam and an overreinforced beam.
(b) Derive the fo
CIVL 232 Design of Structural Concrete
Assignment 2: Singly reinforced sections in bending; moment redistribution
Assigned: Thursday, 2 March 2006
Due date: Thursday, 9 March 2006
2.1 (a) Describe the failure characteristics of under-reinforced and over-r
CIVL 232 Design of Structural Concrete
Assignment 3: Doubly reinforced and flanged sections in bending
Assigned: Thursday 9 March 2006
Due date: Thursday 16 March 2006
50
3.1 The section shown in Fig. 3-1is to resist an ultimate design moment of 330 kN-m.