1. REPUBLIC OF ALBANIA
EPOKA UNIVERSITY
FACULTY OF ARCHITECTURE AND ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
Structural Analysis of 8 story building in
Sap 2000
Transportation Systems Engineering CE 282
Transportation Systems Engineering CE 282
Name Surname: Tafjon Morina
TIRANA, June 2016
2. 1
FACULTY OFARCHITECTURE AND ENGINEERING
CIVIL ENGINEERING DEPARTMENT
Structural Analysis of 8 story building in
Sap 2000
-CE 399-
MICROTHESIS
Prepared by: Tafjon Morina
Student ID: 02031305
Bachelor of Science in Civil Engineering
Epoka University
Tirana, June 2016
3. 2
ABSTRACT
In this studying is shown structural analysis of an eight floor building in SAP2000 .It is located in
Shkodra ,and will be used as place of residence .The purpose was modelling in SAP2000 verison
18 and testing from external factors (Wind,Earthquakes) and internal factors such as living and
dead loads .Modeling with concrete and steel gives us the result if forces and strains that have
aceted upon it .
Keywords: Sap2000, Wind, Earthquake, Live Load, Dead load, Forces Stresses
4. 3
ABSTRAKT
Ne kete Studim eshte prezantuar analiza Strukurore e nje ndertese 8 kateshe ne Sap200 .
Ndertesa ndodhet ne Shkoder , ndertesa do sherbej si objek banimi .Qëllimi ishte Modelimi në
Sap2000 dhe testimi nga faktorë të jashtëm ( Era , Tërmetet ) dhe faktoret e brendshëm si
ngarkesat e gjalla dhe ngarkesës se vdekur . Modelimi me betoni dhe Celik na jep rezultatet si
Forcat dhe Sforcime qe ka vepruar mbi të.
Fjale kyce: Sap2000, Era, Termetet, Ngarkesa e gjalle, Ngarkesa e vdekur, Forcat, Sforcime
5. 4
ACKNOWLEDGEMENTS
I would like to thank Epoka Staff that made possible my education in Civil engineering field . I
would also like to thank Dr. Enea Mustafaraj who has helped in thesis project , Structure Analysis.
I would also thank all friends who helped me till now
Tafjon Morina
6. 5
DECLARATION
I hereby declare that the project is based on my original work except for quotations and citations
which have been duly acknowledged. I also declare that the topic of this study has been the
genuine idea of my supervisor and may be used by him in the future works. This study has not
been previously or concurrently submitted for any other degree at Epoka University or other
institutions.
Tafjon Morina
Date : 21/06/2016
7. 6
CONTENT
ABSTRACT…………………………………………………………………………………………………………………………………… ………….2
ABSTRAKT………………………………………………………………………………………………………………………………………………..3
ACKNOWLEDGEMENTS…………………………………………………………………………………………………………………………… 4
DECLARATION………………………………………………………………………………………………………………………………………….5
LIST OF FIGURE ………………………………………………………………………………………………………………………………….8-10
INTRODUCTION
What is SAP2000………….…………………………………………………………………………………………………………..11
Sap 2000…………………….…………………………………………………………………………………………………………….11
Construct Material
1. Concrete
Avantages……………………………………………………………………………………………………………..……………13
Disavantages………………………………………………………………………………………………………………………13
Propertes if fresh concrete…………………………………………………………………………………………………13
Workability…………………………………………………………………………………………………………………………14
Factors affecting workability…………………………………………………………………………………………..….14
Consistency…………………………………………………………………………………………………………………………14
Segregation…………………………………………………………………………………………………………………………15
Bleeding..……………………………………………………………………………………………………………………………16
Mixing of concrete………………………………………………………………………………………………………………17
Properties of hardened concrete………………………………………………………………………………………..17
Factors affection the strength of concrete………………………………………………………………………….19
Durability……….…………………………………………………………………………………………………………………..19
Corrosion………………………………………..………………………………………………………………………………….19
Abrasion……………………………………………………………………………………………………………………………..19
2. Steel
Mild steel bars ………………………………………………………………………….…........................................20
Deformed steel bars………………………………………………………..……………………………………………….…20
Various Grades of Mild Steel Bars…………………………………….…………………………………………………20
Avantages of Steel………………………………………………………………………………………………………………21
Disavantages………………………………………………………………………………………………………………………21
Physical Requirement…………………………………………………………………………………………………………21
8. 7
Standard Steels…………………………………………………………………………………………………………………..22
The typical shapes and their sizes……………………………………………………………………………..…..23-25
3. Columns
Type of column…………………………………………………………………………………………………………………..26
4. Shear walls
Type of Shear Wall………………………………………………………………………………………………………………27
5. Beams
Type of beam……………………………………………………………………………………………………………………..28
6. Slabs
Type of slabs……………………………………………………………………………………………………………………….29
Deformations……………………………………………………………………………………………………………………..29
Conditions…………………………………………………………………………………………………………………………..30
Advantages of ribbed slabs…………………………………………………………………………………………………30
Disadvantage of ribbed slabs……………………………………………………………………………………………...30
7. Foundation
Type of foundation…………………….………………………………………………………………………………………31
8. Plan of the Structure ………………………………………………………………………………………………………………..32
9. Step by step Approach for the selected project
Step 1. File – New model – Select the units to KN,m,C – Grid only……………………………………………………..33
Step 2 .Fill the Quick Grid Lines table, with the data from the selected project ………………………………….33
Step 3. Click the right button of the mouse –Edit Grid Data – Fill in table all the data from the selected
project.……………………………………………………………………………………………………………………………………………..34
Step 4. Go to Main Menu – Define –Materials –Add New Material –Concrete……………………………………34
Step 5. Continued .Add New Material – Rebar……………………………………………………………………………………35
Step 6. Go to Main Menu – Define –Sections – Concrete Rectangular Sections – Create Columns …….35
Step 7. Continued .Section – Concrete Rectangular Sections – Create Beam ………………………………………36
Step 8 . Go to Main Menu –Define –Section Properties –Area Section – Add New Section –Select Shell
Thin Type ………………………………………………………………………………………………………………………………………….36
Step 9. From the toolbar – Set the plan to XZ – take the Draw Frame Cables – Select Column…………..37
Step 10. From the toolbar – Set the plan to XY – take the Draw Frame Cables – Select Beams…………….37
Step 11. From the toolbar – Set the plan to XY – take the Draw Rectangular Area – Select Slab…………37
9. 8
Step 13 . From the toolbar – Set the plan to XY on Z=0 – Select the bases of the columns and go to
Assign – Joint – Restraints – Select Fixed condition…………………………………………………………………………….38
Step 14. Go to Main Menu – Select – Select – Properties – Area Section – Slab – and then go to Assign
– Area Load – Uniform Shell ………………………………………………………………………………………………………………38
Step 15 . Go to Main Menu – Select – Select – Properties – Area Sections –Slab and then go to Assign –
Area Load – Uniform Shell ………………………………………………………………………………………………………………..39
Step 16. Go to Main Menu – Select – Select – Properties – Frame Sections and then go to Assign – Frame
Load – Distributed……………………………………………………………………………………………………………………………..39
Step 17 . Go to Main Menu – Define load Patterns ……………………………………………………………………………40
Step 18 . Go to Main Menu – Define – Functions – Response Spectrum – Choose EC8 2004 and Add New
Function……………………………………………………………………………………………………………………………………………40
Step 19 . Go to Main Menu – Define – Load Cases – Select EQ Forces and Modify / Show Load Cases .41
Step 20 . Go to Main Menu – Define – Load Combination – Add Default Combos ( According to EN –
1992) –Concrete Frame Design …………………………………………………………………………………………………………42
Step 21 . Select one of the slab – Go to Edit – Edit Areas – Divide Areas Into Number Of Objects ……...42
Step 22 . Go to Main Menu – Analyze – Set Analysis Options – Space Frame ………………………………………43
Step 23 . Go to Main Menu – Define – Mass Source – Modify/Show Mass Source …………………………….43
Step 24. Select Slab of one floor – Go to Assign – Joint – Constrains – Diaphragm …………………………….44
Step 25. Go to Main Menu – Design – Concrete Frame Design – View Revise Preferences – Choose EC2
2004………………………………………………………………………………………………………………………………………………….44
Step 26 .Run analysis ………………………………………………………………………………………………………………….......45
Step 27 . Go to Main Menu – Display – Show Tables – Analysis Result – Stucture Output –Modal
Information ………………………………………………………………………………………………………………………………………45
Step 28. Go to Main Menu –Display –Show Tables –Analysis Results –Joint OutPut – Joint
Displacement…………………………………………………………………………………………………………………………………….46
Step 29. Go to Main Menu – Design – Concrete Frame Design – Start Design /Check of the Structure..46
Step 30 . Go to Main Menu –Design – Concrete Frame Design – Verify all members passed ……………...46
Step 31 . Go to Main Menu –Run Analysis – Display – Show Forces / Stresses –Joints ……………………….50
Step 32 . Go to Main Menu – Run Analysis – Display Deformed Shape Modal …………………………………….50
Step 33 . Go to Main Menu - Display –Show Table –Analysis Results –Structure Output – Modal
Information ……………………………………………………………………………………………………………………………......51-53
Step 34 . Go to Main Menu – Run Analysis--Display– Show Forces/Stresses-Shells……………………………..53
Step 35 . Main Menu – Run Analysis--Display– Show Forces/Stresses--Frames/Cables/Tendons….54-57
Step 36 .Go to Main Menu – Run Analysis--Display– Show Tables ………………………………………………58-66
10. List of figure
Figure 1 Architectual plan of the project structure take in consideration ....................................32
Figure 2 New Modal.......................................................................................................................33
Figure 3 Grid LInes .........................................................................................................................33
Figure 4 Edit Grid Data...................................................................................................................34
Figure 5 Define Material ................................................................................................................34
Figure 6 Add New Material............................................................................................................35
Figure 7 Create Colums..................................................................................................................35
Figure 8 Create Beam.....................................................................................................................36
Figure 9 Create Slab.......................................................................................................................36
Figure 10 Plan XZ – ZY....................................................................................................................37
Figure 11 Joint Restaints................................................................................................................38
11. 10
Figure 55 Moment 3-3 ...................................................................................................................61
Figure 56 Moment 3-3 ...................................................................................................................62
Figure 57 - S11 ...............................................................................................................................63
Figure 58 - S12...............................................................................................................................63
Figure 59 - S13 ...............................................................................................................................64
Figure 60 S13..................................................................................................................................64
Figure 61 - Smin .............................................................................................................................65
Figure 62 – Smax............................................................................................................................65
Figure 63 – SMV.............................................................................................................................66
11. Table of Analysis Display
Base Reactions …………………………………..…………………………………………………………………………………...67
Element Forces - Area Shell………………………………………………………………………………………….……...68-69
Element Forces – Frames……………………..………………………………………………………………………………70-71
Element Joint Forces – Area ……………………………………………………………………………………….…..……72-75
Element Joint Forces – Frames …………………………………………………………………………………..………..76-77
Element Stresses – Area Shells ……………………………………………………………………………………………..78-79
Joint Reactions …………………………………………………………………………………………………………………….80-81
Modal Periods And Frequencies ……………………………………………………………………………………………….82
Object And Elements – Area ………………………………………………………………………………………………..83-84
Object And Elements – Frames…………………………………………………………………………………………….85-86
Object And Elements – Jonits ……………………………………………………………………………………………….87-88
Response Spectrum Modal Information ……………………………………………………………………………….89-90
12. Referenca……………..………………………………………………………………………………………………………………….91
12. 11
CHAPTER 1
INTRODUCTION
1.1 What is SAP2000 and why is used?
The SAP name has been synonymous with state-of-the-art analytical methods since its introduction
over 30 years ago. SAP2000 follows in the same tradition featuring a very sophisticated, intuitive
and versatile user interface powered by an unmatched analysis engine and design tools for
engineers working on transportation, industrial, public works, sports and other facilities.
From a simple small 2D static frame analysis to a large complex 3D nonlinear dynamic analysis,
Sap200 is the easiest, most productive solution for your structural analysis and design needs.
Problem statement
1.2 SAP2000
SAP2000 is general-purpose civil-engineering software ideal for the analysis and design of any
type of structural system. Basic and advanced systems, ranging from 2D to 3D, of simple geometry
to complex, may be modeled, analyzed, designed, and optimized using a practical and intuitive
object-based modeling environment that simplifies and streamlines the engineering process. The
SAPFire Analysis Engine integral to SAP2000 drives a sophisticated finite-element analysis
procedure. An additional suite of analysis features are available to users engaging state-of-the-art
practice with nonlinear and dynamic consideration. Created by engineers for effective engineering
SAP2000 is the ideal software tool for users of any experience level, designing any structural
system..(CSI America)
13. 12
Concrete
Concrete is one of the most commonly used building materials.
Concrete is a composite material made from several readily available constituents (aggregates,
sand, cement, water).
Concrete is a versatile material that can easily be mixed to meet a variety of special needs and
formed to virtually any shape.
Advantages
Ability to be cast
Economical
Durable
Fire resistant
Energy efficient
On‐site fabrication
Disavantages
Low tensile strength
Low ductility
Volume instability
Low strength to weight ratio
Propertes of Fresh Concrete
Workability
Consistency
Segregation
Bleeding
Setting Time
Unit Weight
Uniformity
14. 13
Workability
Workability is the most important property of freshly mixed concrete.
There is no single test method that can simultaneously measure all the properties involved in
workability.
It is determined to a large extent by measuring the “consistency” of the mix.
It is desirable that freshly mixed concrete be relatively easy to transport, place, compact and
finish without harmful segregation.
A concrete mix satisfying these conditions is said to be workable
Factors Affecting workability
Method and duration of transportation
Quantity and characteristics of cementing materials
Aggregate grading, shape and surface texture
Quantity and characteristics of chemical admixtures
Amount of water
Amount of entrained air
Concrete & ambient air temperature
Consistency
Consistency is the fluidity or degree of wetness of concrete.
It is generally dependent on the shear resistance of the mass.
It is a major factor in indicating the workability of freshly mixed concrete
Test methods for measuring consistency are:
Flow test → measures the amount of flow
Kelly‐Ball test → measures the amount of penetration
Slump test (Most widely used test!)
Slump Test is related with the ease with which concrete flows during placement
15. 14
The slump cone is filled in 3 layers. Every layer is evenly rodded 25 times
Measure the slump by determining the vertical difference between the top of
the mold and the displaced original center of the top surface of the specimen
Segregation
Segregation refers to a separation of the components of fresh concrete, resulting in a non‐
uniform mix .
The primary causes of segregation are differences in specific gravity and size of constituents of
concrete.
Moreover, improper mixing, improper placing and improper consolidation also lead to
segregation.
16. 15
Sp.Gr. Size
Cement 3-3.15 5-80 m
C.Agg. 2.4-2.8 5-40 mm
F.Agg. 2.4-2.8 < 5 mm
Some of the factors affecting segregation
Larger maximum particle size (25mm) and proportion of the
larger particles.
High specific gravity of coarse aggregate.
Decrease in the amount of fine particles.
Particle shape and texture.
Water/cement ratio.
Bleeding
Bleeding is the tendency of water to rise to the surface of freshly placed concrete.
It is caused by the inability of
solid constituents of the mix
to hold all of the mixing water
as they settle down.
17. 16
Mixing of concrete
Ready‐Mix concrete: In this type ingredients are introduced into a mixer truck and mixed during
transportation to the site.
• Wet – Water added before transportation
• Dry – Water added on site
Mixing at the site
• Handmixed
• Mixermixed
Mixing time should be sufficient to produce a uniform concrete. The time of mixing depends on
the type of mixer and also to some properties of fresh concrete.
Undermixing → non‐homogeneity
Overmixing → danger of water loss, brekage of aggregate particles
Properties of hardened concrete
The principal properties of hardened concrete which are of practical importance can be listed as:
1. Strength
2. Permeability & durability
3. Shrinkage & creep deformations
4. Response to temperature variations
Of these compressive strength is the most important property of concrete.
Of the abovementioned hardened properties compressive strength is one of the most important
property that is often required, simply because
1. Concrete is used for compressive loads
2. Compressive strength is easily obtained
3. It is a good measure of all the other properties
18. 17
The strength of a concrete specimen prepared, cured and tested under specified conditions at a
given age depends on:
1. w/c ratio
2. Degree of compaction
Compressive Strength is determined by loading
properly prepared and cured cubic, cylindrical or
prismatic specimens under compression.
19. 18
Factors Affection the strength of concrete
– Type of cement
– Type of agg.
– Degree of compaction
– Mix proportions
– Type of curing
– Type of stress situation
Durability
A durable concrete is the one which will withstand in a satisfactory degree, the effects of service
conditions to which it will be subjected.
Factors Affecting Durability:
External → Environmental
Internal → Permeability, Characteristics of ingredients, Air‐Void System...
Corrosion
Electrochemical reactions in the steel rebars of a R/C structure results in corrosion products
which have larger volumes than original steel
Abrasion
Aggregates have to be hard & resistant to wear.
Bleeding & finishing practices are also important
20. 19
Steel
Steel is the common name for a large family of iron alloys which are easily malleable after the
molten stage. Steels are commonly made from iron ore, coal, and limestone
Mild steel bars
Mild steel bars are used for tensile stress of RCC (Reinforced cement concrete) slab beams etc.
in reinforced cement concrete work. These steel bars are plain in surface and are round sections
of diameter from 6 to 50 mm. These rods are manufactured in long lengths and can be cut quickly
and be bent easily without damage.
Deformed steel bars
As deformed bars are rods of steels provided with lugs, ribs or deformation on the surface of bar,
these bars minimize slippage in concrete and increases the bond between the two materials.
Deformed bars have more tensile stresses than that of mild steel plain bars. These bars can be
used without end hooks. The deformation should be spaced along the bar at substantially
uniform distances.
Various Grades of Mild Steel Bars
Reinforcement bars in accordance with standard IS No. 432 part-I can be classified into
following types.
Mild Steel Bars: Mild steel bars can be supplied in two grades
Mild steel bars grade-I designated as Fe 410-S or Grade 60
Mild steel bars grade-II designated as Fe-410-o or Grade 40
Medium Tensile Steel Bars designated as Fe- 540-w-ht or Grade 75
21. 20
Avantages of Steel
1. Good in Strength in tension
2. Good in strength in compression
3. Good in strength shear
Disavantages
1. It is fair in durability “Corrodes if unprotected”
2. It is poor in resistance to fire “High Temperature”
Physical Requirement
S.No
Types of nominal size of
bars
Ultimate Tensile Stress
N/mm2
minimum
Yield Stress
N/mm2
Elongation
Percent minimum
1.
Mild Steel Grade I or Grade
60
For bars up to 20mm 410 250 23
For bars above 20mm upto
50 mm
410 240 23
2.
Mild Steel Grade-II or Grade
40
For bar up to 20mm 370 225 23
For bars above 20mm upto
50 mm
370 215 23
3.
Medium Tensile Steel
Grade-75
22. 21
Standard Steels
According to the chemical compositions, standard steels can be classified
into three major groups: carbon steels, alloy steels, and stainless steels
for bars up to 16mm 540 350 20
for bars above 16 mm up to
32 mm
540 340 20
for bars above 32 mm up to
50 mm
510 330 20
23. 22
The typical shapes and their sizes
Steels Compositions
Carbon Steels Alloying elements do not exceed these limits: 1% carbon, 0.6% copper, 1.65%
manganese, 0.4% phosphorus, 0.6% silicon, and 0.05% sulfur.
Alloy Steels Steels that exceed the element limits for carbon steels. Also includes steels that
contain elements not found in carbon steels such as nickel, chromium (up to 3.99%),
cobalt, etc.
Stainless Steels
Contains at least 10% chromium, with or without other elements. Based on the
structures, stainless steels can be grouped into three grades:
Austenitic:
Typically contains 18% chromium and 8% nickel and is widely known as 18-8.
Nonmagnetic in annealed condition, this grade can only be hardened by cold
working.
Ferritic:Contains very little nickel and either 17% chromium or 12% chromium with
other elements such as aluminum or titanium. Always magnetic, this grade can be
hardened only by cold working.
Martensitic: Typically contains 12% chromium and no nickel. This grade is
magnetic and can be hardened by heat treatment.
24. 23
W section steel property table M section steel property table S section steel property table
HP section steel property table C section steel property table MC section steel property table
L section steel property table WT section steel property table MT section steel property table
26. 25
Columns
The vertical load bearing elements of the structural frame are usually called with their common
name, columns.
Columns are the rectangular elements in which the larger dimension is lesser than 4 times the
smaller dimension e.g.40/40, 40/60, 25/90, etc.
The columns category includes circular sections, too for example D=50 and quadrilateral sections
like 50/60 with an inside angle equal to 60˚
.
Type of column
The column are in form “Γ”, “T” or “Z” cross‐sections, in which the dimension ratio of their
orthogonal parts is lesser than 4. e.g.
“Γ” cross‐ section 40/80/25/25,
“T”cross‐section 70/50/25/25,
“Z” crosssection 60/70/90/25, etc.
Type of form columns
27. 26
Shear walls
Shear walls are rectangular elements with a length to thick‐ ness ratio greater or equal to 4
e.g. cross‐sections 100/25,150/30.
Composite elements are comprised by one or more rectangular elements, at least one of which
must be a shear wall
Type of Shear Wall
28. 27
Beams
Beams are the vertical or sloping bearing elements of the structural system that connect columns
and support slabs.
When beams support slabs, they work together thus forming a “T” section beam.
The level of the slabs compared to the level of the beams results in the formation of rectangular
beams, inverted beams or “Z” beams
Generally, beams are supported by columns (beam to column connection).
Sometimes one or both beam ends are supported by another beam (beam to beam connection)
and other times only one end is supported by a column or beam while the other end has no
support at all.
The beam supported only in one end is called cantilever.
The beam to column connection is called direct support and the beam to beam connection is
called indirect support.
The most commonly used beam is the one supported by two columns and the most scarcely used
is the cantilever beam.
Type of beam
29. 28
Slabs
Slabs are surface plane elements that bear loads transverse to their plain.
`
Type of slabs
One‐way slabs (Simply supported)
‐ supported on two out of four, opposite sides.
Two‐way slabs
‐ supported on all four sides.
Cantilever slabs
‐ a fixed support on only one out of four sides.
Two‐way three support slabs
‐ supported on three out of four sides.
Two‐way two support slabs
‐ supported on two adjacent sides, like S6 of the above example.
Deformations, in a large scale but proportionate to one another, for three different types of slab
continuity. It is obvious that continuous slabs suffer lighter deflections thus they have better
elastic stability (stiffness).
Deformation
30. 29
Conditions
In common structures, for slab thickness equal to 15cm, the slab’s span may vary between 3.60m
and 6.00m and the cantilever spans may be up to 1.50m.
For slab thickness equal to 20cm the slab’s span may range from 4.80m to 8.0m and the cantilever
spans may be up to 2.0m.
The 15cm thick slab has a self weight equal to 0.15m*25 kN/m³=3.75 kN/m² while the live load
due to human use, furniture etc that it is called to bear, is equal to 2.0 kN/m² only.
If the slab has a thickness equal to 20cm its self weight is 5.0 kN/m², and if it is equal to 30cm its
self weight is 7.50 kN/m² whereas the live loads remain the same.
Therefore for large spans ribbed slabs (waffle slabs) (Zoellner, sandwich) can be used, like the
one shown in the figure below. A ribbed slab with total thickness of 30cm may have a self weight
equal to
3.75kN/m², which corresponds to the self weight of a 15cm thick solid slab.=
Advantages of ribbed slabs
‐ their large effective thickness provides them with a high level of elastic stability (stiffness),
‐they have low dead weight consequently they apply relatively light stresses,
‐they do not overload the structural frame and the foundation
‐because of their large effective thickness they comparably need lesser amount of reinforcement
Disadvantage of ribbed slabs
‐Their construction is more challenging and therefore they require highly accurate reinforcement
detailing.
31. 30
Foundation
A foundation (or, more commonly, foundations) is the element of an architectural
structure which connects it to the ground, and transfers loads from the structure to the ground.
Foundations are generally considered either shallow or deep. Foundation engineering is the
application of soil mechanics and rock mechanics (Geotechnical engineering) in the design of
foundation elements of structures.
The same way humans have their feet to transfer their self weight and other loads, softly to the
ground, foundations carry with light pressures the structural frame loads to the underlying soil.
Foundation generally includes the footings and the pedestals. The simplest type of foundation is
the spread foundation (pad foundation) i.e. isolated column footings.
Type of foundation
1.Shallow foundations are also called spread footings or open footings. The 'open' refers to the
fact that the foundations are made by first excavating all the earth till the bottom of the footing,
and then constructing the footing
2. Individual footings are one of the most simple and common types of foundations. These are
used when the load of the building is carried by columns
3. Strip footings are commonly found in load-bearing masonry construction, and act as a long
strip that
supports the weight of an entire wall.
4. Raft Foundations, also called Mat Foundations, are most often used when basements are to
be constructed. In a raft, the entire basement floor slab acts as the foundation; the weight of the
building is spread evenly over the entire footprint of the building
32. 31
Introduction
The build take in consideration in order to perform the analysis with SAP 2000 version 18, is a
reinforced concrete structure . It consists an a moment resisting frame ,with 12 bay in x direction
and 7 in the y direction .The maperial properties and dimensions of the structural elements are
provided below :
Concrete : C20/25, C25/30
Rebar according to EN 1992
Columns : 400*700 mm , 400*600mm, 600*450 mm , 300*600 mm , 400*300mm, 500*500mm
,400*600mm, 600*450mm
Beam : 500*400mm
Shear Wall : 1600mm*300mm
Story height : 3.1 m
The Loads transmitted to the considered building are as follows :
Live Load : 2 KN/m2
Ceilings : 2.5 KN/m2
Infill walls : 3KN/ml.
A dynamic analysis is performed to the considered building .The response Spectrum features are
taken according to Albania Sesmic Map ,Shkodra region. This means that the peak ground
acceleration (PGA), is taken 0.25g , considering typer 1 of EN 1998 Spectra functions .The
behavior factor is taken manually , equal to 3.5 with a low margin of mistakes . Moreover , the
soli type is taken as C type , according to Shkodra region..
In order to be as close as possible with the Albania practice of reinforced concreter structures ,it
is chosen an un-braced frame .Since most of the structure up to 5 stories do not have lateral
resisting system (shear wall/braced structural elements), the simulation aims to understand
better the seismic behavior of these typ of reinforced concrete structure .
34. 33
Step by step Approach for the selected project
Step 1. File – New model – Select the units to KN,m,C – Grid only
Figure 2 New Modal
Step 2 .Fill the Quick Grid Lines table, with the data from the selected project .
Figure 3 Grid LInes
35. 34
Step 3. Click the right button of the mouse –Edit Grid Data – Fill in table all the data from the selected
project.
Step 4. Go to Main Menu – Define –Materials –Add New Material –Concrete
Figure 5 Define Material
Figure 4 Edit Grid Data
36. 35
Step 5. Continued .Add New Material – Rebar
Figure 6 Add New Material
Step 6. Go to Main Menu – Define –Sections – Concrete Rectangular Sections – Create Columns
Figure 7 Create Colums
37. 36
Step 7. Continued .Section – Concrete Rectangular Sections – Create Beam
Figure 8 Create Beam
Step 8 . Go to Main Menu –Define –Section Properties –Area Section – Add New Section –Select Shell
Thin Type .
Continued We can Create Shear Wall With the same way .
Figure 9 Create Slab
38. 37
Step 9. From the toolbar – Set the plan to XZ – take the Draw Frame Cables – Select Column.
Step 10. From the toolbar – Set the plan to XY – take the Draw Frame Cables – Select Beams.
Step 11. From the toolbar – Set the plan to XY – take the Draw Rectangular Area – Select Slab.
A 3D view for the above three steps is shown below .
Figure 10 Plan XZ – ZY
39. 38
Step 13 . From the toolbar – Set the plan to XY on Z=0 – Select the bases of the columns and go to Assign
– Joint – Restraints – Select Fixed condition
Figure 11 Joint Restaints
Step 14. Go to Main Menu – Select – Select – Properties – Area Section – Slab – and then go to Assign –
Area Load – Uniform Shell
Figure 12 Area Load
40. 39
Step 15 . Go to Main Menu – Select – Select – Properties – Area Sections –Slab and then go to Assign –
Area Load – Uniform Shell
Figure 13 Live Load
Step 16. Go to Main Menu – Select – Select – Properties – Frame Sections and then go to Assign – Frame
Load – Distributed.
Figure 14 Dead Load
41. 40
Step 17 . Go to Main Menu – Define load Patterns
Figure 15 Define load Patterns
Step 18 . Go to Main Menu – Define – Functions – Response Spectrum – Choose EC8 2004 and Add New
Function.
Figure 16 Response Spectrum
42. 41
Step 19 . Go to Main Menu – Define – Load Cases – Select EQ Forces and Modify / Show Load Cases .
Figure 17 Response Spectrum EQ-X , EQ-Y
43. 42
Step 20 . Go to Main Menu – Define – Load Combination – Add Default Combos ( According to EN –
1992) –Concrete Frame Design
Figure 18 Load Combination
Step 21 . Select one of the slab – Go to Edit – Edit Areas – Divide Areas Into Number Of Objects .
Repeat the same step for all the slabs .
Figure 19 Divide Areas
44. 43
Step 22 . Go to Main Menu – Analyze – Set Analysis Options – Space Frame .
Figure 20 Space Frame
Step 23 . Go to Main Menu – Define – Mass Source – Modify/Show Mass Source .
Figure 21 Mass Source
45. 44
Step 24. Select Slab of one floor – Go to Assign – Joint – Constrains – Diaphragm .
Repeat the same step for all other floors.
Figure 22 Diaphragm
Step 25. Go to Main Menu – Design – Concrete Frame Design – View Revise Preferences – Choose EC2
2004
Figure 23 View Revise Preferences
46. 45
Step 26 .Run analysis .
Figure 24 Run Analysis
Step 27 . Go to Main Menu – Display – Show Tables – Analysis Result – Stucture Output –Modal
Information
Figure 25 Modal Information
47. 46
Step 28. Go to Main Menu –Display –Show Tables –Analysis Results –Joint OutPut – Joint Displacement
(IT can be found in Excel Sheets ,soft copy).
Step 29. Go to Main Menu – Design – Concrete Frame Design – Start Design /Check of the Structure .
Figure 26 Check of the Structure
Step 30 . Go to Main Menu –Design – Concrete Frame Design – Verify all members passed
Figure 27 Verify all member passed
51. 50
Step 31 . Go to Main Menu –Run Analysis – Display – Show Forces / Stresses –Joints
Figure 31 Show Forces
Step 32 . Go to Main Menu – Run Analysis – Display Deformed Shape Modal
Figure 32 Modal
54. 53
Figure 37 Modal 5
Step 33 . Go to Main Menu - Display –Show Table –Analysis Results –Structure Output – Modal
Information .
Figure 38 Modal Period and Frequencies
55. 54
Step 34 . Go to Main Menu – Run Analysis--Display– Show Forces/Stresses-Shells
o S11: Direct stress (force per unit area) acting on the positive and negative 1 faces in the 1-axis
direction.
o S22: Direct stress (force per unit area) acting on the positive and negative 2 faces in the 2-axis
direction.
o S12: Shearing stress (force per unit area) acting on the positive and negative 1 faces in the 2-
axis direction and acting on the positive and negative 2 faces in the 1-axis direction.
o SMax: Maximum principal stress (force per unit area). Note that by definition principal stresses
are oriented such that the associated shearing stress is zero.
o S Min: Minimum principal stress (force per unit area). Note that by definition principal stresses
are oriented such that the associated shearing stress is zero.
o SVM: Von Mises principal stress (force per unit area).
o S13: Out-of-plane shearing stress (force per unit area) acting on the positive and negative 1
faces in the 3-axis direction.
o S23: Out-of-plane shearing stress (force per unit area) acting on the positive and negative 2
faces in the 3-axis direction.
o SMaxV: Maximum principal shearing stress (force per unit area). Note that by definition
principal shearing stresses are oriented on faces of the element such that the associated
shears per unit length on perpendicular faces are zero.[]
Figure 39 Member Force Diagram
59. 58
Step 35 . Main Menu – Run Analysis--Display– Show Forces/Stresses--Frames/Cables/Tendons
Stresses: Axial stress S11 is available for all frame and cable sections. The shear stresses S12 and S13 are
available for certain types of frame sections. When shear stresses are available, principal stresses Smax
and SMin and von Mises stress SVM are also available for algebraic (non-envelope) load cases and
combinations.
Figure 49 Display Forces / Stresses
92. 91
Conclusion
A seismic analysis was performed to an – braced , 8 story reinforced concrete building.
Considering the output taken the modal analyses table , it can be seen that the value of the frist
fundamental period is 0.924 sec .The generated value is higher than the expected one , which
rangs from 0.5 to 0.6 sec .This difference is dedicated to the mass source chosen , where the live
load was reducted by 70% , which accounts for less mass and hight fundamental period .
After generating the design check with SAP 2000 , it was noticed that the level of risk failure for
the structure is considerably hight .This is also confirmed by the fact that four member of the
considered building failed in shear stress capacity .
It is necessary to emphasize that these types of structures suffer on dynamic loading conditions,
that’s why it is crucial to better research this topic in order to have a better seismic performance
93. 92
References
Advanced Materials and Techniques for Reinforced Concrete Structures
Mohamed Abdallah El-Reedy, Ph.D, Mohamed El-Reedy Reference - 327 Pages
The Roman Pantheon: The Triumph of Concrete. Romanconcrete.com. Retrieved on
2013-02-19.
Lancaster, Lynne (2005). Concrete Vaulted Construction in Imperial Rome. Innovations in
Context. Cambridge University Press. ISBN 978-0-511-16068-4.
Ashby, Michael F. & Jones, David R. H. (1992) [1986].Engineering Materials 2 (with
corrections ed.). Oxford: Pergamon Press. ISBN 0-08-032532-7.
Duncan, Chester I. Soils and Foundations for Architects and Engineers. New York: Van
Nostrand Reinhold, 1992.
"Column - Definition and More from the Free Merriam-Webster Dictionary". Merriam-
webster.com. 2012-08-31. Retrieved 2013-07-04.