Exemple practice CYPE CYPE 3D
2
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This manual corresponds to the software version indicated by CYPE Ingenieros, S.A. as Metal 3D. The information contained in this document substantially describes the properties and methods of use of the program or programs accompanying it. The information contained
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any queries, please contact CYPE Ingenieros, S.A. by consulting the corresponding Authorised Local Distributor or the After-sales department at:
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CYPE Ingenieros, S.A.
1st Edition (September 2010)
Edited and printed in Alicante (Spain)
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CYPE
Metal 3D - Practical example
Presentation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5
2.3.13.3. Bar check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38
2.3.13.4. Force consultation . . . . . . . . . . . . . . . . . . . . . . . . . .38
2. Practical example . . . . . . . . . . . . . . . . . . . . . . . . . .7
2.3.14. Baseplates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39
2.1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7
2.3.15. Foundations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .39
2.2. Portal frame generator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7
2.3.15.1. Foot
ing introduction . . . . . . . . . . . . . . . . . . . . . . . . .39
2.2.1. Loads generated by the program . . . . . . . . . . . . . . . . . . .11
2.3.15.2. Strap and tie beam introduction . . . . . . . . . . . . . . . .40
2.3.15.3. Data definition before the design . . . . . . . . . . . . . . .41
2.2.1.1. Wind loadcase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12
2.3.15.4. Foundation design and check . . . . . . . . . . . . . . . . . .42
2.3. Metal 3D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17
2.3.15.5. Matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42
2.3.1. Node and bar introduction . . . . . . . . . . . . . . . . . . . . . . . .17
2.3.16. Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43
2.3.2. Hide/ Show planes . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
2.3.16.1. Drawings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .43
2.3.3. Creation of new views . . . . . . . . . . . . . . . . . . . . . . . . . . .18
2.3.16.2. Reports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44
2.3.4. Bar introduction and dimensioning . . . . . . . . . . . . . . . . .18
2.3.5. Node and bar description . . . . . . . . . . . . . . . . . . . . . . . . .23
2.3.6. Section layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .25
2.3.7. Grouping of equal bars . . . . . . . . . . . . . . . . . . . . . . . . . .25
2.3.8. Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .26
2.3.9. Fixity coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .26
2.3.10. Loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27
2.3.10.1. Add loadcase and define use category . . . . . . . . . . .27
2.3.10.2. Panel loads: slabs and surface loads . . . . . . . . . . . .27
2.3.10.3. Wind loads . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . .29
2.3.11. Buckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29
2.3.12. Lateral buckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .30
2.3.13. Analysis and design of the structure . . . . . . . . . . . . . . . .30
2.3.13.1. Bracing design . . . . . . . . . . . . . . . . . . . . . . . . . . . .31
2.3.13.2. Joint design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33
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Metal 3D - Practical example
Presentation
Metal 3D is a powerful and efficient program brought about to carry out structural calculations in 3 dimensions of steel, aluminium and timber bars.
The program obtains the forces and displacements based on an automatic design. It possesses a
laminated, welded and cold formed steel section database. It analyses any type of structure carrying out all the
verifications and checks the selected code requires.
Thanks to the generation of structural views, the user can work
with windows in 2D and 3D in a completely interactive manner. The structure can equally be redesigned and hence obtain its maximum optimisation. The element dimensions are created without the need of having to introduce coordinate systems or rigid
meshes.
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Metal 3D - Practical example
2. Practical example
2.1. Introduction
2.2. Portal frame generator
For this example, a 40m long by 20m wide warehouse will
be designed. It will consist of 9 frames at 5m intervals.
Their ridge heights will be at 10m and lateral heights at 8m.
Within the warehouse, a small slab will be built at a height
of 4m corresponding to the location of the office. The warehouse will have two openings measuring 6x5m on its right
side and one of the same dimensions on its left side.
The Portal frame generator will be used to design the purlins of the roof and to generate the appropriate loads.
Open the Portal frame generator and create a new job. Give
the job a name (e.g. wh_1) and in
troduce a description
(e.g. warehouse example ).
The first step to carry out is to establish the loadcases corresponding to the loads acting on the structure.
• Dead loads:
-
-
Self weight of the purlins
Roofing material (80mm sandwich panel and
0.24kN/m2)
Self weight of the joist floor slab (25+5): 3.7kN/m2
Screed: 1.2 kN/m2
Fig. 2.1
Having accepted, a new window appears. Fill in the data as
shown below:
• Live loads:
In accordance with table 6.2 of the code: UNE-ENV
1991-2-1, the live load corresponding to a B use category (administrative zones) is of 2 kN/m2
• Wind action:
In accordance with EC1
• Snow loading:
In accordance with EC1
Fig. 2.2
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For the wind load, select Eurocode 1, reference speed
26m/s, terrain category Single and IV, flat land in the X
and Y directions and a service period of 50 years.
Fig. 2.5
Fig. 2.3
For the snow loads, select Eurocode 1, United Kingdom,
Republic of Ireland, Zone 2, Normal landscape and a topographic
height of 0m.
Fig. 2.6
Fig. 2.4
CYPE
Metal 3D - Practical example
For the load combinations, select use category B: Office
use. (In the image, it can be seen that this is in accordance
with that stated in the Eurocode. It may occur that if the
user has not used the required code in a previous job, that
the option to select it may not appear. If this is the case, select any option, then once the frame has been completely
defined, the appropriate code can be selected in Configuration > Job. Having selected the code, click on Job data > General job data and modify the information).
For this example, the lateral covering will consist of lightweight concrete panels, therefore it must be specified that
there is lateral cover otherwise the wind loads acting on the
sides of the frame will not be generated. To do so, click outside the frame, at the side at which the wall is to be introduced. Click on Lateral wall and indicate it is to have a height
of 8m. Activate the Braces the column a
gainst buckling box
but do not activate the Self-balancing box, by doing so, the
wind pressure loads that are generated are transmitted to
the columns of the warehouse.
Now that the general data has been introduced, the geometry of the frame can be defined so that it may be designed later on. The program will prompt the user whether a
new frame is to be introduced. Answer yes and in the new
dialogue box select two slopes. A new window will open
where the type of roof can be selected. Leave the default
option: Rigid frame.
Fig. 2.8
Fig. 2.7
Having accepted the dialogue box, the previously described frame will appear on the main screen. If any modifications are to be undertaken, click in the middle of the frame
and a window will open containing various edit options.
Fig. 2.9
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Repeat the process with the wall on the other side. The
walls are displayed on screen.
Fig. 2.12
Once the section type has been selected, there are a further three options for its opti
misation.
Fig. 2.10
Now the roof purlins are to be defined. To do so, select Job
data > Lateral and roof purlin edition > Purlins on roof. Here the deflection limit is to be specified as well as the
number of spans the purlin is to cover and how it is attached. For the section type, press the button containing the
section name, and select Rolled from the scroll menu and
the IPE section series. Click on Accept.
Fig. 2.11
Fig. 2.13
CYPE
Metal 3D - Practical example
The first option optimises the section for the selected separation. In this case the program will run through the sections of the series verifying them for the selected separation.
Now the purlins have been selected, the data can be exported to Metal 3D. To do so, click on Job data > Export to
Metal 3D. Select the options shown below. The number of
frames and type of support conditions to generate must be
indicated and if the buckling coefficients to be generated
are those for sway or non-sway framed (as ties will be
introduced later on in Metal 3D, select the buckling coefficients
to be generated for non-sway frames).
The second type optimises the separation between the
purlins for the selected section.
Finally, the option is available to design both the separation
and section, where the minimum and maximum separation
to check is to be indicated as well as the separation increment for each iteration. Having concluded, the results will
be displayed as a list where the section is shown as well as
its weight and separation. Those that fail have a forbidden
sign next to them. To select a section from the list, double
click on its row. It will be highlighted in blue and upon accepting the dialogue box, it shall be incorporated in the job.
When choosing the layout, it must be checked that the selected separation is valid for the type of sandwich panel
with which the project is going to be executed; in this
example, change the separation value to 1.40m and steel
type to S275, and click on the first de
sign option. From the
results, select an IPE 120.
Fig. 2.15
In case the selected code has different load areas for the
roof when considering wind loads, the planes of the frames
are not to be grouped as the loads are not symmetrical and
errors could arise if frames with different loads are grouped.
2.2.1. Loads generated by the program
The program generates the loadcases corresponding to
permanent loads, wind and snow loads.
Fig. 2.14
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2.2.1.1. Wind loadcase
The warehouse is exposed to wind acting in all four directions: 0º, 90º, 180º and 270º.
Fig. 2.16
This implies that there will be at least four wind loadcases.
The roof in this example has a pitch of +11.31º. In accordance with table 7.4a of Eurocode 1, Part 1-4, two loads are
generated for this pitch, which implies the loadcases for
wind at 0º and 180º are duplicated due to these situations.
Fig. 2.18
A manual calculation of the pressures generated by the
program can be carried out:
Using t
able 4.1, the following values can be obtained for
terrain category IV:
Fig. 2.19
Fig. 2.17
CYPE
Metal 3D - Practical example
z0 = 1.0m
zmin = 10m
The following values can be calculated:
Fig. 2.20
External pressure calculation – For wind acting at 0º:
For z = 8m
The external pressure is given by:
For z = 10m
Internal pressure calculation – For wind acting at 0º:
In this case the value of z shall be taken as the height of the
highest opening, therefore z = 6m.
Using table 7.1 for a value of h/d = 10/20 = 0.5, the values
for the external pressure coefficients are obtained:
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The internal pressure coefficient is obtained from figure
7.13 of the Eurocode for a value of h/d = 0.5.
As the wind is blowing in the direction corresponding to 0º,
the opening ratio, µ = 0.35. From the graph, Cpi = 0.32.
The internal pressure can now be calculated:
Fig. 2.22
The values in table 7.4a can be interpolated to obtain the
external pressure coefficients in each
zone of the roof for
both situations.
The external pressure load (we) and internal pressure load
(wi) acting for each zone and situation are automatically generated in Metal 3D. These can be visualised in the Load
menu.
Fig. 2.21
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Metal 3D - Practical example
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Metal 3D - Practical example
To obtain the wind pressures at 90º and 270º, the values in
table 7.4b can be interpolated.
2.3. Metal 3D
2.3.1. Node and bar introduction
Upon accepting the dialogue box, the program will ask for a name to be entered for
the structure. Once this dialogue box has
been accepted, the generated structure
will appear with its loads in Metal 3D.
Fig. 2.23
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2.3.2. Hide/ Show planes
The reference lines generated by the program may be
eliminated so to make working with the program easier.
First of all, go to Planes > Show/ hide planes and
upon accepting the dialogue box, select all the nodes
whose reference lines are to be hidden. If la
ter on,
these are to be reactivated, it can be done using the
same method but using the Show option.
Fig. 2.24
The second step is to deactivate the option Show/hide
new drawings. This way, when new nodes are introduced in the job, their associated planes will not be displayed.
Fig. 2.26
Warning: if the window is closed, the view will be lost and
will therefore have to be redefined. Use the maximise and
minimise buttons of the window to change between views.
2.3.3. Creation of new views
To create windows with new views of the structure, go to
option Window > Open new > 2D view in a plane orthogonal to the X, Y or Z axis. Mark two planes defining
the 2D plane. A dialogue box will appear asking for a name
for the new window (e.g. Gable wall).
2.3.4. Bar introduction and dimensioning
The bars supporting the internal slab of the warehouse will
now be introduced, as will the columns of the gable wall:
• Return to the 3D view window by clicking on the complete view button on the to
p of the 3D window. Activate
the planes where the supporting nodes are located; in
this case the bottom left hand support and the ridge
node of the gable wall.
Fig. 2.25
The new view will automatically appear on screen. By
clicking on Window > Tile horizontal, the 3D view and
2D view can be seen at the same time and if the cursor is
moved in the 2D window, the plane in question is shown in
the 3D window.
CYPE
Metal 3D - Practical example
• Introduce the first point between the left support and
ridge reference lines; the second by snapping to the intersection of the ridge and support reference lines and
the third between the ridge and right support reference
lines.
Fig. 2.27
• Using the option Node > New, introduce the three
nodes by snapping to the reference line of the bottom
left hand node. Please recall that to carry out this operation, the Nearest and Intersection object snaps must
be activated in the top part of the menu
.
Fig. 2.29
• To place these nodes at their
exact positions, click on
Planes > Dimensions > Add. Introduce the value of
the separation, in this case 5m and click on the support
reference line and the first new node reference line.
Then, click again on the new node reference line and
the next. Continue doing so until the dimensions have
been introduced.
Fig. 2.28
Fig. 2.30
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Fig. 2.31
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Metal 3D
Fig. 2.32
Fig. 2.34
Another way of introducing the nodes is by selecting the
configuration icon from the top toolbar
and from the emerging window click on the Dimension
tab. There, mark the Draw dimensions box and Accept.
This way the program will always ask for the dimension to
be introduced when a new bar or node within a bar is defined.
Fig. 2.35
Fig. 2.33
CYPE
Metal 3D - Practical example
• Having positioned the nodes, the new bars representing the end columns can be introduced. Use the 2D
view defined earlier (located in the Window menu)
to introduce these elements. Click on Bar > New
and bring the cursor clo
se to the node until it
changes to a cyan colour. Click on it with the left
mouse button and bring the cursor close to the intersection of the bar with the lintel until the object snap
symbol appears. Click with the left mouse button to
confirm the point. Click on the right mouse button to
complete the introduction of the first bar and to be
able to select the second origin node, otherwise bars
will continue to be introduced from the last marked
node.
Fig. 2.37
• Now to introduce the beam on which the slab will be
supported. To do so return to the 2D gable wall view.
Click on Bar > New and place the cursor on the left
column of the frame, click with the left mouse button
and introduce a distance of 4m.
Fig. 2.36
• Repeat the process with the remaining bars of the gable wall and then repeat for the opposite gable wall.
Fig. 2.38
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When introducing bars, it is important to only introduce
those that are really going to be used on site. In other
words, if the
slab beam is going to be a single 20m element supported by the intermediate columns, the bar is to
be introduced from one end column to the other end column. This way, the program interprets that the whole bar is
a single element and so when the bar is described, the
fixity coefficients will be applied to the element. If, on the
contrary, 4 x 5m bars are going to be used on site, 4 bars
should be introduced from column to column. If a bar has
been introduced by accident, and the real intention was to
introduce independent bars, the error may be amended
using the option Bar > Create elements. Click on the initial and final nodes of one of the bars making up the element introduced by accident and validate the new bar by
clicking on the right mouse button. The program will automatically break the original bar into 4 independent bars.
create another beam spanning from the left column to the
right column. Introduce 3 columns reaching the beam.
• In the 2D gable wall view, introduce a b
ar from the left
column to the right column at a height of 4m.
Fig. 2.40
• Return to the 3D view and introduce the transverse bars
spanning from the second frame to the gable wall frame.
Fig. 2.39
• Create a new 2D view corresponding to the second frame
of the warehouse (e.g. Slab frame). In this new view,
Fig. 2.41
CYPE
Metal 3D - Practical example
• Carry out the same process to tie the roof of the two
gable walls to their closest frame.
• Finally, introduce the beams making up the openings in
the lateral frames, at a distance of 6m from the ground
and the beam tying the top of all the columns.
Fig. 2.42
• Now to define the bracing. First of all introduce the bars
tying the end frames. To do so, activate the option Bar
> Generate nodes at intersection points (as what is
intended is for bars to be created independent of each
other). Introduce them as shown in the image below.
Fig. 2.44
2.3.5. Node and bar description
Once the bars and nodes have been introduced
, the supports (external fixities) of the new columns can be described. The other supports have already been described
when the frame was defined in the Portal frame generator.
To do so, go to option Node > External fixity. Select
those nodes who have yet to be described individually (or
use a capture window). Having selected the nodes, click
on the right mouse button and the External fixity dialogue
box will open where the type of support can be defined.
Select the Fixity option and leave all options as fixed.
Fig. 2.43
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Fig. 2.45
The next step consists in describe the type of section to be
assigned to the bars, as well as their material. To do so use
the option Bar > Describe section. First select the columns of the frames and having done so, click on the right
mouse button to indicate the type of section.
Fig. 2.47
The lintels of the central frames and the slab beams can
now be described in the same way. These are also to be
assigned an IPE-300 section. T
he slab beams are to
consist of IPE-200 sections and all the transverse beams an
IPE-160 section. The slab columns will be IPE-220s and the
gable wall columns IPE-240s.
Finally, for the bracing, select the Tie option from the bar
option in the describe bar dialogue box. This option is valid
as long as the selected bars comply with the following
conditions:
• The bars described as ties form part of a bracing cross,
braced at its four sides or at three, if the bracing
reaches the external supports.
• The program will only consider these bars to be working
in tension, therefore neither buckling nor fixity coefficients can be applied to them.
Fig. 2.46
• No loads can be introduced on them.
Select the rolled steel section option from the images at
the top of the dialogue box and from the scroll menu select
an IPE-300 section.
CYPE
Metal 3D - Practical example
2.3.6. Section layout
In this example, the tie bars will be described as φ16 bars.
The program displays these bars in
blue to differentiate
between these and the remaining bars.
The next step consists in describing the layout of the bars,
i.e. the angle and level they will have on site. Start with the
intermediate columns of the gable wall.
Activate the option Bar > Describe disposition, select
the columns of the gable wall and right click. In the emerging window, select the 90º rotation button.
Fig. 2.48
Fig. 2.50
2.3.7. Grouping of equal bars
The wind loads, due to the openings of the warehouse not
being symmetrical, result in non-symmetrical pressures and
therefore the design of the bars after the analysis cannot be
symmetrical. To avoid this, the bars may be grouped.
Click on Bar > Group, select the IPE-300 columns of the
frames (not those belonging to the gable wall), then right
click with the mouse to validate the group.
Fig. 2.49
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Fig. 2.52
2.3.9. Fixity coefficients
Fig. 2.51
The next steps consists in pinning the ends of the bracing
bars between frames. Thi
s is done using the option Bar >
Fixity at ends. Select the bars in question and right click
with the mouse button. In the emerging dialogue box, introduced a fixity coefficient of 0 in both planes for both the origin and end of the bars.
This way, the columns are grouped and when a modification is carried out on a column of the group, all the columns
are modified at once.
Repeat the same process with IPE-300s for the beams of
the frames. Group the IPE-240 columns of the gable wall,
the IPE-200 beams, the IPE-220 columns of the office slab
and the IPE-160 bracing beams between frames.
2.3.8. Materials
Once the bars have been described, the material they are
made of can be indicated using the option Bar > Describe material. Open a capture window to select all the bars
of the structure, right click with the mouse button and assign material S-275.
Fig. 2.53
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Metal 3D - Practical example
The Portal frame generator has generated 1 dead load
loadcase, 6 wind loadcases and 3 snow
loadcases. As this
example includes a slab for office use, a new live load loadcase must be created with its corresponding use category.
The slab beams connecting to the column webs are also to
be pinned. The beams at the ends of the gable wall containing the slab are to be fixed to the external columns and
pinned to the internal columns, i.e. they are to be assigned
a fixity coefficient of 0 at their origin and 1 at their end depending on the direction of the bar. The way to differentiate
which end is which is by observing the axes of the section
that are drawn at each bar; the direction of the x-axis (red)
points to the end of the bar.
To do so, click on the option and in the emerging window
click on Additional loadcase. In the new dialogue box,
click on the edit button corresponding to the use category
and select Offices and accept, then click on the live load
edit button and add the new loadcase.
Fig. 2.54
Fig. 2.55
2.3.10. Loads
2.3.10.2. Panel loads: slabs and surface loads
Having described the geometry, the loadcases which are
yet to be added to those provided by the Portal frame generator can be completed and the use category of the live
loads defined.
Having created the loadcase, the slabs can now be introduced using the option Load > Introduce panel.
Once selected the possible places where slabs can be inserted will be displayed on screen. To introduce a slab, select the points forming the polygon of the slab. Having
done so, click on the right mouse button and select the direction the applied loads are to span. For this example, select the direction parallel to the length of the warehouse.
2.3.10.1. Add loadcase and define use category
To add or modify loadcases, and define the use categories
for the structure, use the option located in Job > Loads.
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Upon selecting the direction of the applied loads, by
clicking on the right mouse button, a new window will appear where the loads associated to the panel can be introduced.
Add the following loads associating each one with
its corresponding loadcase. First, add a load associated to
the dead loadcase corresponding to the dead load of the
slab whose value is 3.7 kN/m2; another load of 1.2 kN/m2
corresponding to the screed and finally a live load of
2 kN/m2.
Fig. 2.56
Fig. 2.58
Accept the Loads on panel window and the load distribution will appear on screen. To consult a load distribution,
click on Load > Viewed loadcase, select the loadcase in
question from the scroll menu and its distribution will be
shown on screen.
Fig. 2.57
CYPE
Metal 3D - Practical example
Fig. 2.59
Fig 2.60
2.3.11. Buckling
2.3.10.3. Wind loads
The bars imported from the Portal frame generator already have the appropriate buckling coefficients applied to
them, however those that have been introduced later on
have to have their coefficients modified.
The surface loads that have been generated by the program can also be consulted. To do so click on Load >
Viewed loadcase. F
or this example, activate the loadcase
corresponding to 0º, external pressure type 1 (W(0º) H1
from the scroll menu) and the loads generated on the bars
will automatically become visible. If, additionally, the surface loads produced by the Portal frame generator are to
be consulted, click on Load > Edit surface load. The
program generates the surface loads corresponding to the
external pressure for each panel introduced as well as
those corresponding to the internal pressure as separate
loads.
To assign the buckling coefficients, select the option Bar >
Buckling and mark the IPE-160 beams bracing the frames.
Bearing in mind the structure has IPE-100 purlins with a separation of 1400 mm and are rigidly fixed to the cover panel
and additionally, the warehouse is to have 150 mm
concrete plates around its external wall, it can be assumed
that these bars will not buckle; the whole structure would
have to be completely loaded for this phenomenon to occur. Therefore, a buckling coefficient
, β with a value of zero
in the XY plane and a value of 1 in the other plane will be
assigned to these beams.
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late this in the program, use the option Bar >Lateral buckling and select the IPE-300 beams making up the roof of
the warehouse. Once selected, right click with the mouse
button to edit the lateral buckling values. In the bottom
flange of these beams, place braces every 4 purlins with a
free buckling length of Lb=4.2m.
Fig. 2.61
As for the IPE-200 beams joining the two frames supporting
the office slab, the same rules can be applied to them as in
the previous case, due to the presence of the slab preventing the steel sections in their XY plane from buckling.
Fig. 2.62
For the IPE-220 columns supporting the internal frame of
the slab, a buckling coefficient of β = 0.7 is to be used and
hence fixing its base and pinning the top of the column in
both planes.
For the IPE-300 columns of the central frames use braced
lateral buckling.
2.3.13. Analysi
s and design of the structure
Finally, the IPE-240 columns of the gable wall will not be
able to buckle in the XY plane due to the presence of the
wall in which they are contained.
Once all the previous steps have been carried out, the
structure can be analysed and then designed. To analyse
the structure click on Analysis > Analyse. A window will
appear offer the various analysis options: Do not dimension sections, Quick section design or Optimum section
design. In this case select the first option: Do not dimension sections. As for the Joints design, for this example
welded connections shall be used, however, please recall
that when seismic loading is present, it is highly recommended that bolted connections be used.
2.3.12. Lateral buckling
Lateral buckling can occur in the lintels of the central
frames of the warehouse due to wind suction on the roof. If
so, this would affect the bottom flange of the sections. This
situation is avoided by placing braces in the project bracing th
e bottom flange against this phenomenon. To simuCYPE
Metal 3D - Practical example
Fig. 2.64
Fig. 2.63
2. The axial stiffness of the ties (AE/L) is less than 10% of
the axial stiffness of the elements framing the bracing
elements.
2.3.13.1. Bracing design
The fact the tie bars are composed of a straight axis and
only admit tensile forces in the direction of the axis, implies
that this model would only be strictly exact if a non-linear
analysis were to be carried out, in which, all the bars resulting in compression would be deleted after each analysis.
3. The diagonal ties of a frame must both be of the same
section.
Method application
The analysis method is linear and elastic using matrix formulae. Each tie is introduced in the stiffness matrix with
only its axial stiffness term (AE/L), whereby this is equal to
half the real axial stiffness of the tie. This way, displacements are achieved in the stiffness plane, similar to those
obtained if the tie in compression were deleted f
rom the
matrix analysis and considering the real cross sectional
area of the tie in tension.
Additionally, to undertake a dynamic analysis without taking
into account the bars in compression, an analysis in the
time domain with accelerograms would be required.
As an approximation to the exact method, we propose an
alternative method whose results, with the requirement that
all the conditions detailed below are met, are sufficiently
acceptable for every day design of structures with bracing
elements.
The final forces in each tie are obtained for each loadcase
and the following steps are taken for those ties in which the
axial force is in compression:
The method has the following limitations, which the program ensures are met:
A. The axial force of the tie in compression is cancelled
1. The tie element forms part of a rigid bracing system framed at its four sides, or three of its sides if the bracing
reaches external fixities. Additionally, each rigid frame
must form a rectangle (f
our internal angles must be
right angles).
B. This axial force is added to the axial force of the other
diagonal tie of the same stiffening frame.
C. With this new axial force configuration, the equilibrium
of the nodes is restored.
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Metal 3D
Given that the method deals with force compatibility and
not displacements, it is important to bear in mind the axial
stiffness restrictions of the sections making up the stiffening frame indicating in part 2 of the previous section; the
method is more exact the smaller the relative length differences are of the bars framing the ties. In all the cases analysed by CYPE, the discrepancies between the results obtained using this method and those obtained using linear
analysis have been negligible.
Fig. 2.66
B. Distribution (by force resolution) of the increment
of axial force in the tie in tension (C*)
The following figures display a scheme of the previously
described process.
The increment in axial force (C*) in the tie is resol
ved
into the direction of the bars (or fixity reactions) reaching the nodes.
Forces resulting from each of the combinations:
N1, N2, N3, R1h, R2h, R3h, R2v: forces and reactions
of the elements forming the rigid frame without considering the increase in tension of the tie in tension.
Fig. 2.65
T: axial force corresponding to the tie in tension
C: axial force corresponding to the tie in compression
Fig. 2.67
C. Equilibrium restoration in the end nodes of the
ties. Force equilibrium.
A. Cancelling out of the force of the tie in compression.
Assigning the compression value to the tie in
tension.
The vector sum of the components of the increment in
tension (with the same absolute value as the compression of the tie in compression) is carried out.
The axial force of the tie in compression (C=0) is eliminated and is added to the tie in tension (T* = T + |C| ).
The final force and reaction distribution is displayed in
the following diagram:
CYPE
Metal 3D - Practical example
•
Joints IV. Bolted. Building frames with rolled and welded steel I sections
• Joints V. Flat trusses with hollow structural steel sections
New modules will be coming soon; check our website for
new implementations.
Fig. 2.68
These values can be consulted in each bar or node for
each loadcase or combination loadcase. Each loadcase is
treated as a unit combination.
Joint design
If nodes whose type of joint is resolved in the program are
detected during the design process of the structure, the
program will design the connections and will provide a detail drawing of the results.
2.3.13.2. Joint design
The program incorporates the analysis and design of
connections for rolled and welded steel I sections for various design codes (please consult our website for the
available design codes. If the design code with which the
job is being designed is not yet available with the Joints
module, the user can opt to copy the job and design them
using a different code).
• For I sections (Jo
ints I, II, III and IV modules), the program provides two types of design:
Welded, e.g.:
Types of joint design
The program offers several options for connection design:
the Joints modules.
Fig. 2.69
The following Joints modules are currently available with
the program:
• Joints I. Welded. Warehouses with rolled and welded
steel I sections
• Joints II. Bolted. Warehouses with rolled and welded
steel I sections
• Joints III. Welded. Building frames with rolled and welded steel I sections
Fig. 2.70
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Metal 3D
For a more complete list of available welded connections, please consult the corresponding website at
www.cypecad.en.cype.com/joints_welded.htm
www.cypecad.en.cype.com/joints_welded_building.htm
Bolted (using ordinary or prestressed bolts), e.g.:
Fig. 2.71
Fig. 2.72
Fig. 2.75
Fig. 2.73
Fig. 2.76
Fig. 2.77
Fig. 2.74
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Metal 3D - Practical example
of bolted connections, the optimum layout of prestressed or ordinary bolts is provided.
• For fla
t trusses with hollow structural sections:
The hollow structural sections must consist of welded
sections with the additional condition that the bar acting
as the truss chord must be a continuous bar, in the
case of an intermediate node. The hollow structural
sections are designed so to meet all the requirements
indicated in the selected code. The program represents
the edge preparation of the tube ends to be able to
weld the sections correctly.
Fig. 2.78
e.g.:
Fig. 2.79
Fig. 2.81
Fig. 2.80
For a more complete list of available bolted connections please consult the corresponding website at
Fig. 2.82
www.cypecad.en.cype.com/joints_bolted.htm
www.cypecad.en.cype.com/joints_bolted_building.htm
The program will design the required weld thicknesses
and incorporates stiffeners if they are required for the
correct transmission of forces. Additionally, in the case
Fig. 2.83
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Metal 3D
Consulting the designed joints
The joints can be designed at the same time as the ge
neral
analysis (by marking the Design joints box in the Analysis
dialogue box) or once the analysis has concluded using
the option Joints > Analyse.
To then consult the designed joints, click on Joints > Consult. Upon activating this option, all the joints which have
been designed by the program will be marked with a green
circle. Those that have not been resolved will be marked
with a red circle. Joints which are partially resolved i.e.
containing connections that have been designed and
others that have not will be marked in an orange circle.
Fig. 2.84
Fig. 2.85
Fig. 2.86
Fig. 2.87
For a more complete list of available hollow structural section
connections please consult the corresponding website at
If the mouse cursor is brought close to a node in which
there is a designed joint, the joint will be highlighted in blue
and an information window will appear indicating the type
of connections associated to that node that are present. By
then clicking on the joint, the detail drawi
ngs of the connections associated to that node are displayed.
www.cypecad.en.cype.com/
joints_flat_trusses_hollow_structural_sections.htm
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Metal 3D - Practical example
Reasons why a joint has not been designed
If the program does not design a joint, which initially appears to correspond to one implemented in the program, it
may be due to one of the circumstances explained below:
a. Section fixed to the web of another section
If a section is to be fixed to the web of another section,
the connection cannot be solved. Bar ends connecting
to the web of a section must always be a pinned
connection.
b. Interference between sections and stiffeners
If the section joining to the web of another section intersects with the stiffeners placed by the program to guarantee the bars reaching in the orthogonal plane are fixed.
Fig. 2.88
c. Thickness of the elements
If the necessary throat thickness of the weld is greater
than 0.7 times the thickness of the joining element.
d. Orthogonal
elements
If the webs of the bars are not contained in the same
plane or are not perpendicular to one another, the program will not resolve the joint.
e. Angle
If the previous point is complied with, the angle between the surfaces of the bars to be welded must be
greater or equal to 60º, otherwise the joint is not designed.
Fig. 2.89
If the cursor is brought close to a node in which there are
connections that have not been designed but belong to
one of the types recognised by the program, an information window is displayed providing the reasons why the
joint has not been designed.
Fig. 2.90
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2.3.13.3. Bar check
2.3.13.4. Force consultation
Once the analysis procedure has concluded, click on
Analysis > Check bars to validate the initial design, or if,
on the contrary, bars have to be modified and the structure
must be re-analysed.
Activate the option Analysis > Envelope > Stress/Used
and mark the Selected bars only button. Click on the
beam that was pre
viously selected using the Check bars
option and the force diagram of the tensile state of the bar
will be drawn in the XZ plane. The part of the bar verifying
the tensile force of the bar is displayed in green and that
not verifying the tensile force of the bar is displayed in red.
Upon selecting this option, any bars not verifying all the
checks will be displayed in red. By moving the cursor over
one of the IPE-300 sections making up one of the central
frames, a box appears informing the user of the error. If this
bar is then clicked on a new window emerges indicating
which sections of the series verify all the checks and highlighted in blue is the section currently in use in the job. To
modify the section, simply double click on the row containing the replacement section and accept (this row will then
be highlighted in blue). In this case, do not modify the initial
section, as the failure percentage is not too great and it is
best to check the tensile state of the bar to be able to
choose between changing to a greater section or providing
a haunch at its connection with the column.
Fig. 2.92
It can be seen that the area in which the beam fixes onto
the column fails. The amount by which it fails can also be
seen by activating the Display maximum and minimum
values option in the Envelope dialogue box.
How to solve this problem depends on the practical solutions each user is used to apply. In this example, modify the
bars to IPE-360s and reanalyse.
Having done so repeat the process with the remaining bars
of the structure.
Fig. 2.91
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Metal 3D - Practical example
2.3.14. Baseplates
concluded, click with the right mouse button to validate;
those not verifying all the checks will be displayed in red.
Now that the sections of the warehouse have been designed, the baseplates can be introduced and then designed. Click on Baseplates > Generate and, once the
baseplates have appeared in the job, click on Design in
the same menu.
If any are displayed in red, ed
it the baseplate in question
and in the window that appears, click on Design. Once
designed, match this new baseplate to those in its corresponding group and right click to ensure none are displayed
in red.
Fig. 2.93
Fig. 2.94
Having designed the baseplates, click on Baseplates >
Edit where the designed baseplates can be consulted and
modified.
2.3.15. Foundations
Using the Match option, the baseplates of the columns can
be grouped: those belonging to the main frames as one
group, those belonging to the columns of the gable wall as
another group and those supporting the slab in a third
group. To use this option click on the baseplate which is to
be the Master baseplate. Once selected, all the baseplates
which are the same will be displayed in brown and those
different to it will be displayed in yellow. Click on the yellow
baseplates to match them and, once the matching has
2.3.15.1. Footing introduction
Upon reaching this point, click on the Foundations tab at
the bottom left han
it the baseplate in question
and in the window that appears, click on Design. Once
designed, match this new baseplate to those in its corresponding group and right click to ensure none are displayed
in red.
Fig. 2.93
Fig. 2.94
Having designed the baseplates, click on Baseplates >
Edit where the designed baseplates can be consulted and
modified.
2.3.15. Foundations
Using the Match option, the baseplates of the columns can
be grouped: those belonging to the main frames as one
group, those belonging to the columns of the gable wall as
another group and those supporting the slab in a third
group. To use this option click on the baseplate which is to
be the Master baseplate. Once selected, all the baseplates
which are the same will be displayed in brown and those
different to it will be displayed in yellow. Click on the yellow
baseplates to match them and, once the matching has
2.3.15.1. Footing introduction
Upon reaching this point, click on the Foundations tab at
the bottom left han
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