Title: Background Theory
1United Arab Emirates University Collage of
Engineering Graduation Project Unit
Analysis and Design of Large-Span Steel Roofing
System
Final-Presentation
Bakheet Ahmad Al-Mansoori
200101695 Khalfan Ahmad Al-Mansoori
200101697 Saeed Nasser Al-Ahbabi
200101684 Saif Rashid Al-Mansoori
200101629
First Semester2006 - 2007
2Contents
- Introduction
- Background theory
- Structural systems
- Design calculation
- Cost calculation
- Results and discussion
- Conclusion and recommendations
3Introduction
- Al Jazira Mohammed Bin Zayed Stadium is a
multi-use stadium in Al Jazira Club located in
Abu Dhabi. - The stadiums original capacity was 15,000 seats
but it is currently going through an expansion
stage which will increase the stadiums capacity
to an all seated 40,000 ultra-modern air
conditioned sporting arena. - The expansion program includes two residential
towers to be built beside the stadium and three
phases the first two phases are carried out using
reinforced concrete and pre-cast concrete
structures whereas the third phase is designed
using structural steel systems.
4Introduction
- This project focuses analysis and design of
alternative structural systems to the future
phase three of Al Jazira stadium. - The actual structural system to be used in
construction of phase three consists of an
overhang steel roof truss supported by a framed
column, which is in turn supported at the top of
phase two.
5GP1 overview
- We design two alternative structural systems are
proposed in the current project. - First system, is a simple truss system which
consists of overhang steel roof trusses supported
by trussed columns. - Second system is a modification of the former one
by extending the height of the trussed column
above the roof level to allow for installation of
cables that are attached from the other end to
the mid-points of the roof trusses.
6Graduation Project (II)
- calculating the structural loads acting on system
(2), modeling and analysis of both system (1) and
system (2) using SAP2000 software. - Designing and detailing the analyzed systems
according to the LRFD version of the AISC code. - Developed Excel spreadsheets to facilitate the
design of the high numbers of structural elements
and connections included in the proposed systems.
Structural details were presented using AutoCAD.
7Background Theory
- Steel
- Types of loads
- Load combination
- SAP 2000
8Steel
- The aim of using steel is to reduce the dead
weight. - Composed of Iron, Small amount of Carbon(lt2)
and other chemical components (such as Manganese,
Copper, Nickel, Silicon, and Aluminum) - The aim of the chemical components is to improve
strength, toughness, hardness, ductility, and
corrosion resistance. - Increasing the Carbon content leads to an
increase in strength and hardness, but decreases
ductility and toughness. - Strength and Ductility are the most important
characteristics of structural steel. - Ductility is the ability of the member to
undergo large deformations without fracture. - The economical production method began around
the middle of the 19th century, by heating iron
in contact with charcoal. - A more advanced process was introduced by Sir
Henry Bessemer of England in 1855 (the Bessemer
process).
9Steel
- Advantages of construction steel- High
strength-to-weight ratio.- Ductility (large
deformation before failure).- Flexibility in
structural forms. - Long lifetime if properly
maintained.- Recyclable material, environmental
friendly. - Disadvantage of construction steel- Buckling
susceptibility.- Fireproofing cost, to prevent
transmission of heat and the associated large
reduction in strength. - High
maintenance cost, e.g. paint coating.- Higher
construction and maintenance cost in some parts
of the world.
10Steel Specification
- The type of steel that was used in this project
is (High strength Low-alloy) A572 - Grade 60, Fy 60 ksi , Fu 75 ksi.
- It gives a high resistance with acceptable cross
section dimensions, especially for large span
structures. - Circular cross sections were used in this
project.
11Types of load
- Dead load
- Live load
- Wind load
- Live roof load
12Load combination
- 1.4 D
- 1.2 D 1.6 L 0.5(Lr or S or R)
- 1.2 D 1.6 (Lr or S or R) (0.5L or 0.8W)
- 1.2 D 1.3W 0.5L 0.5(Lr or S or R)
- 1.2 D 1.0E 0.5L 0.2S
- 0.9 D (1.3W or 1.0E)
- Where
- D Dead load
- L Live load
- W Wind load
- E Earthquake load
- Lr Roof Live Load
13SAP 2000
- SAP2000 is a finite element-based software that
represents the most sophisticated and
user-friendly release of the SAP series of
computer programs. - Powerful graphical user interface unmatched in
terms of ease-of-use and productivity. - This program features powerful and completely
integrated modules for design of both steel and
reinforced concrete structures. - The program provides an interactive environment
in which the user can study the stress
conditions, make appropriate changes, such as
member size revisions, and update the design
without re-analyzing the structure.
14Structural systems
- Structural system(1)
- it is consist of trusses only, and divided into
three parts, column, shed and rakar as present in
below figure -
15- Structural system(2)
- it is consists of trusses and cable also have a
same divination of system(1), However, it should
be noted that the column height was increased to
allow for the installation of the cable element
connected to the middle of the overhang as shown
in following figure.
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17- Modeling, analysis and design procedure for both
system - The geometry of the proposed systems was
generated in Auto Cad. - the coordinates corresponding to each nodal
point were identified. - Such information along with joints are members
numbers, tables of cross section dimensions,
applied loads and load combinations are entered
into the SAP2000 program. - The cable properties should be take it from
cables factory otherwise, is not available in
SAP2000 program.
18Design calculations
19Tension members design
Design Requirements for tensions members-
Where Ø is the resistance reduction
factor- 0.90 for yielding failure. 0.75
for fracture failure. Pn is the nominal
strength of the tension member. Pu is the
factored tensile force.
Strength can be determined based on 3 potential
failure modes in our project- - Yielding of
the Gross Section. - Fracture of the Net
Section. - Stiffness for Tension Members.
20Tension members design
Strength can be determined based on 3 potential
failure modes in our project- - Yielding
of the Gross Section. - Fracture of the Net
Section. - Stiffness for Tension Members.
21Tension members design
Yielding of the Gross Section-
?t Pn 0.9 Fy Ag
Where Fy is the yield stress of steel
used, Ag is the gross area of the tension
member cross-section (Ag p (Dout
Din)2/4).
22Tension members design
Fracture of the Net Section -
ØPn 0.75 Fu Ae
Where Fu is the ultimate tensile stress of
steel. Ae is the effective net area at the
critical section.
Ae An U
Where An is the net area at the
critical section Ag (Dout Din)
tGusset Plate, U is a
reduction factor due to the shear lag effect when
not all the x - sectional area is directly
connected to the joint (U 1 for our project).
23Excel Spreadsheet For Design of Tension members
24Compression members design
Design Requirements-
Where Ø is the resistance reduction
factor 0.85. Pn is the nominal strength
of the tension member. Pu is the factored
tensile force.
Where Fcr critical buckling stress.
Ag gross area of the member .
25Compression members design
First of all we have to calculate the slenderness
coefficient-
Where ?c slenderness coefficient Fy
yield stress (ksi) E modulus of elasticity
(ksi) K effective buckling length
factor L laterally unbraced length of member
(in) r governing radius of gyration about the
axis of buckling (in)
26Compression members design
Compare to the value of 1.5, If is greater than
1.5 then the critical elastic buckling stress is
given by-
And if is less than 1.5 then the critical
inelastic buckling stress is given by-
27Compression members design
Local buckling can be avoided only if the
width-to-thickness ratio (b/t) of each element in
the cross section of the column does not exceed a
specific value called ?c.
The following figure summarizes the two cases of
elastic and inelastic overall buckling
Figure Elastic and inelastic buckling of
columns
28Excel Spreadsheet For Design of Tension members
29Zero members
- Members doesnt carry any load.
- check the stiffness.
- L/r lt 200Where
- - L the length of the member.- R the radius
of the member.
30Zero members
31Welded connections design
- Use SMAW process, and E 80 electrodes.
- Fexx 80 Ksi
- t(G.PL) 0.5 in
- Fy 60 Ksi
- Fu 75 Ksi
32Welded connections design
- ? Strength of Longitudinal weld
- Weld fractureFRn/in 0.75 (
0.6Fexx)(0.707Sw) - Shear rapture of the member FRn/in 0.75
(0.6Fu) t member - Shear rapture of gusset plateFRn/in
0.75(0.6Fu) t (G.PL)
33Welded connections design
34Bolted connection design
- In the construction site either welding or
bolting could be used however, bolting is more
recommended for quality control, ease and safety
reasons.
35Bolted connection design
There is two typical types of high strength bolts
are commonly used, A325 and A490.
Fv (ksi) Bolt type
48 A325N
60 A325X
60 A490N
75 A490X
36Bolted connection design
- High strength bolts can be used to form two main
types of connections, Shear failuer in Bolts and
Bearing Failure at Bolt Holes depending on the
load transfer mechanism of each connection type. - In Shear failuer in Bolts
- ?Rn Pu
- ?Rn 0.75 Fv Agv Nb Ns
37Bearing Failure at Bolt Holes At the external
bolts- Since Le 2 in gt 1.5d t smaller
of 1 - t 0.5 in (gusset plate)
2 - t (2 3/8)
in (splice plate) ØPn/bolts 0.75(2.4)(d)(t)Fu
At the internal bolts- Since S 3d
so, ØPn/bolts 0.75(2.4)(d)(t)Fu
The factored bearing resistance of the
connection ØPn (number of external bolts
ØPn/bolts for the external) (number of
internal bolts ØPn/bolts for the internal)
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39Beam design
- The design of beam which stand on trusses joint
of system and carried the concrete slab. - The all beams are a same in the design for both
systems.
40- The beam is rotated by 31dgree around the globule
axis. - It is effected by previews types of load.
- The beam should be design to resist the moment
and shear. - The moment which govern the design should be the
maximum moment of moment due by different types
of load combination.
41- The beam should be design to resist the moment
and shear. - The moment which govern the design should be the
maximum moment of moment due by different types
of load combination. - Find
- Max. Mx
- Max. My
42- Beam section selecting
- Assume LbL22.08ft
- steel type used is Fy50 ksi
- Cb1.14
- From LRFD manual-beam sections charts
- We find the beam section according Max.Mu and
beam length.
43- Then find corresponding design moment
44- Design moment in y direction
-
- Moment check
45 46Base connection
The design for connection between the trusses
system and concrete slab Base Plate
Dimensions- a 2 Øb b Le Lmin Dout 2a
2b
Where- Dout outer diameter of member. Øb
diameter of bolt.
47Base connection
- Check bearing stress on the concrete slab below
the base plate-
- For determine the base plate thickness-
Where- t base plate thickness Rz
compression force. Fy area of bolt.
diameter of bolt.
48Base connection
Anchor bolts- - The bolt is subjected to
tension and shear - For shear-
Where- V shear force. Ab area of
bolt. n number of bolt.
49Base connection
Anchor bolts- - The bolt is subjected to
tension and shear - For tension-
Where- Tu tension force. Ab area of
bolt. n number of bolt.
50 systems cost
- Systems weight calculation
- 1-calculated the volume for each member.
- V(Dout Din )Lmember
- 2-calculated the weight for each
member. W VSpecific weight of steel
51- Cost Calculated
- the cost of steel 6500Dhs/ton
- the total cost total weight(ton)cost / ton
- system(1) cost 6.30371 ton6500Dhs/ton
40.974 Dhs - system(2) cost 6.41431 ton 6500 Dhs
41.693 Dhs.
52Results and Discussion
- System 1 is better than system 2 because its
economically. -
- The trusses must be welded in the factory.
- The transportation process must be under the
observation of the Consultant to
avoid any damages to the parts.
53 conclusion Recommendation
- Analysis and preliminary design proposed systems
by used SAP2000 - Tension and compression members manually design.
- Welded and bolted connection design.
- Zero members design.
- Beam design.
- Base connection design.
- Cost calculation for both system.
- At the end of GP2 we recommend our collage to
give the student different courses of structural
soft war .