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Machina

This document provides a summary of the design of a machine plate fastened to concrete using 5 expansion anchors. It includes the input data, load combinations, resulting anchor forces, and verification of tension capacity considering steel strength, pullout, breakout, and splitting failure modes. The analysis was performed using a component-based finite element method and found that all anchor capacities were sufficient to resist the applied loads with utilization levels below 67%.

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0% found this document useful (0 votes)
42 views14 pages

Machina

This document provides a summary of the design of a machine plate fastened to concrete using 5 expansion anchors. It includes the input data, load combinations, resulting anchor forces, and verification of tension capacity considering steel strength, pullout, breakout, and splitting failure modes. The analysis was performed using a component-based finite element method and found that all anchor capacities were sufficient to resist the applied loads with utilization levels below 67%.

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HSY79
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We take content rights seriously. If you suspect this is your content, claim it here.
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Hilti PROFIS Engineering 3.0.

84

www.hilti.group/content/hilti/CP/XX/en/non-transactional/light-pages/middle-east.html
Company: Page: 1
Address: Specifier:
Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

Specifier's comments:

1 Anchor Design
1.1 Input data

Anchor type and diameter: HIT-HY 200-R V3 + HAS-U 5.8 M16


Return period (service life in years): 50
Item number: 2223869 HAS-U 5.8 M16x260 (element) / 2262131
HIT-HY 200-R V3 (adhesive)
Filling set or any suitable annular gap filling solution
Effective embedment depth: hef,act = 220.0 mm (hef,limit = - mm)
Material: 5.8
Evaluation Service Report: ETA 19/0601
Issued I Valid: 12/2/2021 | -
Proof: Engineering judgement SOFA BOND - based on ETAG BOND testing
Stand-off installation: eb = 0.0 mm (no stand-off); t = 9.5 mm

Anchor plate
CBFEM
: lx x ly x t = 890.0 mm x 100.0 mm x 9.5 mm;

Profile: Flat bar, ; (L x W x T) = 890.0 mm x 9.5 mm


Base material: 2
uncracked concrete, C30/37, fc,cube = 37.00 N/mm ; h = 260.0 mm, Temp. short/long: 30/40 °C
Installation: automatic cleaned drilled hole, Installation condition: Dry
Reinforcement: no reinforcement or reinforcement spacing >= 150 mm (any Ø) or >= 100 mm (Ø <= 10 mm)
no longitudinal edge reinforcement

CBFEM
- The anchor calculation is based on a component-based Finite Element Method (CBFEM)

Geometry [mm] & Loading [kN, kNm]

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

1
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Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

1.1.1 Load combination


Case Description Forces [kN] / Moments [kNm] Seismic Fire Max. Util. Anchor [%]
1 Combination 1 N = 10.300; Vx = 21.200; Vy = 0.130; no no 67
Mx = 0.000; My = 18.800; Mz = 0.000;

1.2 Load case/Resulting anchor forces

Anchor reactions [kN]


Tension force: (+Tension, -Compression)
Anchor Tension force Shear force Shear force x Shear force y
1 2.852 4.656 4.392 -1.546
Tension
2 35.011 4.247 4.096 1.125 2 3 4 y 5 x 1
3 26.836 4.215 4.167 0.637
Compression
4 18.772 4.244 4.239 0.198
5 10.675 4.316 4.307 -0.283

resulting tension force in (x/y)=(-163.5/-4.8): 94.147 [kN]


resulting compression force in (x/y)=(-13.0/-14.1): 107.600 [kN]

Anchor forces are calculated based on a component-based Finite Element Method (CBFEM)

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

2
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Design: Machine Plate Date: 3/8/2023
Fastening point:

1.3 Tension load (EOTA TR 029, Section 5.2.2)

Load [kN] Capacity [kN] Utilization bN [%] Status


Steel Strength* 35.011 52.333 67 OK
Combined pullout-concrete cone failure** 94.147 193.228 49 OK
Concrete Breakout Failure** 94.147 189.426 50 OK
Splitting failure** 94.147 150.017 63 OK

* highest loaded anchor **anchor group (anchors in tension)

1.3.1 Steel Strength

NRk,s [kN] gM,s NRd,s [kN] NSd [kN]


78.500 1.500 52.333 35.011

1.3.2 Combined pullout-concrete cone failure


2 0 2 2
Ap,N [mm ] Ap,N [mm ] t Rk,ucr,25 [N/mm ] scr,Np [mm] ccr,Np [mm] cmin [mm]
510,270 204,800 15.00 452.5 226.3 400.0
0
yc t Rk,ucr [N/mm ]
2
k y g,Np y g,Np
1.040 15.60 3.200 1.242 1.094

ec1,N [mm] y ec1,Np ec2,N [mm] y ec2,Np y s,Np y re,Np


141.0 0.616 0.0 1.000 1.000 1.000
0
NRk,p [kN] NRk,p [kN] gM,p NRd,p [kN] NSd [kN]
172.508 289.843 1.500 193.228 94.147

Group anchor ID
1-5

1.3.3 Concrete Breakout Failure


2 0 2
Ac,N [mm ] Ac,N [mm ] ccr,N [mm] scr,N [mm]
881,100 435,600 330.0 660.0

ec1,N [mm] y ec1,N ec2,N [mm] y ec2,N y s,N y re,N


141.0 0.701 0.0 1.000 1.000 1.000
0
k1 NRk,c [kN] gM,c NRd,c [kN] NSd [kN]
10.100 200.473 1.500 189.426 94.147

Group anchor ID
1-5

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

3
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Design: Machine Plate Date: 3/8/2023
Fastening point:

1.3.4 Splitting failure


0 2
Ac,N [mm ]
2
Ac,N [mm ] ccr,sp [mm] scr,sp [mm] y h,sp
1,497,786 988,831 497.2 994.4 1.010

ec1,N [mm] y ec1,N ec2,N [mm] y ec2,N y s,N y re,N k1


141.0 0.779 0.0 1.000 0.941 1.000 10.100
0
NRk,c [kN] gM,sp NRd,sp [kN] NSd [kN]
200.473 1.500 150.017 94.147

Group anchor ID
1-5

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

4
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Design: Machine Plate Date: 3/8/2023
Fastening point:

1.4 Shear load (EOTA TR 029, Section 5.2.3)

Load [kN] Capacity [kN] Utilization bV [%] Status


Steel Strength (without lever arm)* 4.656 37.680 13 OK
Steel failure (with lever arm)* N/A N/A N/A N/A
Pryout Strength* 4.244 77.456 6 OK
Concrete edge failure in direction y+** 21.290 301.971 8 OK

* highest loaded anchor **anchor group (relevant anchors)

1.4.1 Steel Strength (without lever arm)

VRk,s [kN] gM,s VRd,s [kN] VSd [kN]


47.100 1.250 37.680 4.656

1.4.2 Pryout Strength (Concrete Breakout Strength controls)


2 0 2
Ac,N [mm ] Ac,N [mm ] ccr,N [mm] scr,N [mm] k-factor
126,225 435,600 330.0 660.0 2.000

ec1,V [mm] y ec1,N ec2,V [mm] y ec2,N y s,N y re,N


0.0 1.000 0.0 1.000 1.000 1.000
0
NRk,c [kN] gM,c,p VRd,cp [kN] VSd [kN]
200.473 1.500 77.456 4.244

Group anchor ID
4

1.4.3 Concrete edge failure in direction y+

lf [mm] dnom [mm] k1 a b


192.0 16.00 2.400 0.069 0.053
2 0 2
c1 [mm] Ac,V [mm ] Ac,V [mm ]
400.0 487,500 720,000

y s,V y h,V y a,V ec,V [mm] y ec,V y re,V


1.000 1.519 2.446 21.7 0.965 1.000
0
VRk,c [kN] gM,c VRd,c [kN] VSd [kN]
186.539 1.500 301.971 21.290

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

1.5 Combined tension and shear loads (EOTA TR 029, Section 5.2.4)
Steel failure

bN bV a Utilization bN,V [%] Status


0.669 0.124 2.000 47 OK

a a
bN + bV £ 1.0

1.6 Warnings
• The anchor design methods in PROFIS Engineering require rigid anchor plates as per current regulations (ETAG 001/Annex C, EOTA
TR029, etc.). This means load re-distribution on the anchors due to elastic deformations of the anchor plate are not considered - the anchor
plate is assumed to be sufficiently stiff, in order not to be deformed when subjected to the design loading. PROFIS Engineering calculates
the minimum required anchor plate thickness with CBFEM to limit the stress of the anchor plate based on the assumptions explained above.
The proof if the rigid base plate assumption is valid is not carried out by PROFIS Engineering. Input data and results must be checked for
agreement with the existing conditions and for plausibility!
• Checking the transfer of loads into the base material is required in accordance with EOTA TR 029, Section 7!
• The design is only valid if the clearance hole in the fixture is not larger than the value given in Table 4.1 of EOTA TR029! For larger
diameters of the clearance hole see Chapter 1.1. of EOTA TR029!
• The accessory list in this report is for the information of the user only. In any case, the instructions for use provided with the product have to
be followed to ensure a proper installation.
• Characteristic bond resistances depend on short- and long-term temperatures.
• The design method SOFA assumes that no hole clearance between the anchors and the fixture is present. This can be achieved by filling
the gap with mortar of sufficient compressive strength (e.g. by using the Hilti Filling set) or by other suitable means
• The compliance with current standards (e.g. EN 1993, AS 4100:1998, etc.) is the responsibility of the user
• An SLS-check is not performed for SOFA and has to be provided by the user!
• The anchor design methods in PROFIS Engineering require rigid anchor plates, as per current regulations (AS 5216:2021, ETAG 001/Annex
C, EOTA TR029 etc.). This means that the anchor plate should be sufficiently rigid to prevent load re-distribution to the anchors due to
elastic/plastic displacements. The user accepts that the anchor plate is considered close to rigid by engineering judgment."
• The characteristic bond resistances depend on the return period (service life in years): 50

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Address: Specifier:
Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

1.7 Installation data


2
Anchor plate, steel: S 235; E = 210,000.00 N/mm ; fyk = 235.00 N/mm
2 Anchor type and diameter: HIT-HY 200-R V3 + HAS-U 5.8
M16
Profile: Flat bar, ; (L x W x T) = 890.0 mm x 9.5 mm Item number: 2223869 HAS-U 5.8 M16x260 (element) /
2262131 HIT-HY 200-R V3 (adhesive)
Hole diameter in the fixture: df = 18.0 mm Maximum installation torque: 80 Nm
Plate thickness (input): 9.5 mm Hole diameter in the base material: 18.0 mm
Hole depth in the base material: 220.0 mm
Drilling method: SafeSet - automatic cleaning Minimum thickness of the base material: 256.0 mm
Cleaning: Automatically performed while drilling

Hilti HAS-U threaded rod with HIT-HY 200-R V3 injection mortar with 220 mm embedment h_ef, M16, Steel galvanized, SAFEset - automatic
cleaning installation per ETA 19/0601, with annular gaps filled with Hilti Filling set or any suitable gap solutions

1.7.1 Recommended accessories

Drilling Cleaning Setting


• Suitable Rotary Hammer • No accessory required • Dispenser including cassette and mixer
• Properly sized drill bit for SAFEset - • Filling set
automatic cleaning (TE-CD / TE-YD) • Torque wrench
• Vacuum cleaner

y
445.0 445.0 50.0
45.2

54.8

2 3 4 5 1
x
50.0
45.2

107.5 150.0 150.0 150.0 225.0 107.5

Coordinates Anchor [mm]


Anchor x y c-x c+x c-y c+y Anchor x y c-x c+x c-y c+y
1 337.5 -4.8 - - 1,000.0 400.0 4 -37.5 -4.8 - - 1,000.0 400.0
2 -337.5 -4.8 - - 1,000.0 400.0 5 112.5 -4.8 - - 1,000.0 400.0
3 -187.5 -4.8 - - 1,000.0 400.0

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

2 Anchor plate design

2.1 Input data


Anchor plate: Shape: Rectangular
lx x ly x t = 890.0 mm x 100.0 mm x 9.5 mm
Calculation: CBFEM
Material: S 235; Fy = 235.00 N/mm²; εlim = 5.00%
Anchor type and size: HIT-HY 200-R V3 + HAS-U 5.8 M16, hef = 220.0 mm
Anchor stiffness: The anchor is modeled considering stiffness values determined from load displacement curves tested in an
independent laboratory. Please note that no simple replacement of the anchor is possible as the anchor
stiffness has a major impact on the load distribution results.
Design method: EN-based design using component-based FEM
Stand-off installation: eb = 0.0 mm (No stand-off); t = 9.5 mm
Profile: Custom; (L x W x T x FT) = 890.0 mm x 9.5 mm x - x -
Material: S 235; Fy = 235.00 N/mm²; εlim = 5.00%
Eccentricity x: 0.0 mm
Eccentricity y: 45.3 mm
Base material: Uncracked concrete; C30/37; fc,cyl = 30.00 N/mm²; h = 260.0 mm; E = 33,000.00 N/mm²; G = 13,750.00
N/mm²; v = 0.20
Welds (profile to anchor plate): Type of redistribution: Plastic
Material: S 235
Mesh size: Number of elements on edge: 8
Min. size of element: 10.0 mm
Max. size of element: 50.0 mm

2.2 Summary
Description Profile Anchor plate Concrete [%]
sEd [N/mm²] ePl [%] sEd [N/mm²] ePl [%] Hole bearing [%]
1 Combination 1 92.11 0.00 235.43 0.21 5 91
2.3 Anchor plate classification
Results below are displayed for the decisive load combinations: Combination 1
Anchor tension forces Equivalent rigid anchor plate (CBFEM) Component-based Finite Element Method
(CBFEM) anchor plate design
Anchor 1 -0.002 kN 2.852 kN
Anchor 2 17.820 kN 35.011 kN
Anchor 3 14.061 kN 26.836 kN
Anchor 4 10.386 kN 18.772 kN
Anchor 5 0.000 kN 10.675 kN

User accepted to consider the selected anchor plate as rigid by his/her engineering judgement. This means the anchor design guidelines can
be applied.

2.4 Profile/Stiffeners/Plate
Profile and stiffeners are verified at the level of the steel to concrete connection. The connection design does not replace the steel design for
critical cross sections, which should be performed outside of PROFIS Engineering.

2.4.1 Equivalent stress and plastic strain


Limit state criteria as per EN1993-1-5 Annex C.8, (1) 2.

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Design: Machine Plate Date: 3/8/2023
Fastening point:

Results
Part Load Material sEd [N/mm²] ePl [%] fy [N/mm²] gM0 fy/gM0 elim [%] Status
combination [N/mm²]
Plate Combination S 235 235.43 0.21 235.00 1.00 235.00 5.00 OK
1
Profile Combination S 235 92.11 0.00 235.00 1.00 235.00 5.00 OK
1

2.4.1.1 Equivalent stress


Results below are displayed for the decisive load combination: 1 - Combination 1

235.00 N/mm²

0.00 N/mm²

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Design: Machine Plate Date: 3/8/2023
Fastening point:

2.4.1.2 Plastic strain


Results below are displayed for the decisive load combination: 1 - Combination 1

5.00%

0.00%
2.4.2 Hole bearing
Decisive load combination: 1 - Combination 1
Plate hole bearing resistance, EN1993-1 - 8 section 3.6.1:

Equations

k1 ab fu d t
Fb,Rd =
gM2
VEd
Utilization =
Fb,Rd

Variables
k1 ab fu [N/mm²] d [mm] t [mm] gM2
Anchor 1 2.50 1.00 360.00 16.0 9.5 1.25
Anchor 2 2.50 1.00 360.00 16.0 9.5 1.25
Anchor 3 2.50 1.00 360.00 16.0 9.5 1.25
Anchor 4 2.50 1.00 360.00 16.0 9.5 1.25
Anchor 5 2.50 1.00 360.00 16.0 9.5 1.25

Results
VEd [kN] Fb,Rd [kN] Utilization [%] Status
Anchor 1 4.656 109.440 5 OK
Anchor 2 4.248 109.440 4 OK
Anchor 3 4.215 109.440 4 OK
Anchor 4 4.244 109.440 4 OK
Anchor 5 4.316 109.440 4 OK

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Design: Machine Plate Date: 3/8/2023
Fastening point:

2.5 Concrete
Decisive load combination: 1 - Combination 1
According to EN1992-1-1 section 6.7(4), the concrete should have sufficient reinforcement to take into account the tensile forces that develop
due to the fixture attachment. The definition of the reinforcement in the concrete is out of scope of PROFIS Engineering.

2.5.1 Compression in concrete under the anchor plate


18.84 N/mm²

0.00 N/mm²

2.5.2 Verification of compression in concrete under the anchor plate around the profile as per EN1992-1 section 6.7 and EN1993-1-8,
section 6.2.5

Equations

fjd
bj kj acc fck
=
gc
N
s = Aeff

Utilization =
s
fjd

Variables
N [kN] Aeff [mm²] bj kj acc fck [N/mm²] gc
107.600 2,942 0.67 3.00 1.00 30.00 1.50

Results
s [N/mm²] fjd [N/mm²] Utilization [%] Status
36.57 40.20 91 OK

2.6 Symbol explanation


ab Factor
acc Long-term effects on maximum strength of concrete
Aeff Effective area
bj Joint coefficient βj
d Nominal diameter of the bolt
elim Limit plastic strain
ePl Plastic strain from CBFEM results
Fb,Rd Plate bearing resistance EN 1993-1-8 tab. 3.4
fck Characteristic compressive concrete strength
fjd The ultimate bearing strength of the concrete block
fu Ultimate strength
fy Yield strength
gc Service factor - SP 16, Table 41
gM0 Steel safety factor gamma M0
gM2 Steel safety factor gamma M2
k1 Factor for edge distance and bolt spacing perpendicular to the direction of load transfer - EN 1993-1-8 - Table 3.4
kj Concentration factor
N Resulting compression force
s Average stress in concrete
sEd Equivalent stress
t Thickness of the anchor plate
VEd Anchor shear force

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Design: Machine Plate Date: 3/8/2023
Fastening point:

2.7 Warnings
● By using the CBFEM calculation functionality of PROFIS Engineering you may act outside the applicable design codes and your specified
anchor plate may not behave rigid. Please, validate the results with a professional designer and/or structural engineer to ensure suitability
and adequacy for your specific jurisdiction and project requirements.
● The anchor is modeled considering stiffness values determined from load displacement curves tested in an independent laboratory.
Please note that no simple replacement of the anchor is possible as the anchor stiffness has a major impact on the load distribution
results.

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Address: Specifier:
Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

3 Summary of results
Design of the anchor plate, anchor, welds and other elements are based on CBFEM (component based finite element method) and Eurocode
regulations.
Load combination Max. utilization Status
Anchors Combination 1 67% OK
Anchor plate Combination 1 100% OK
Concrete Combination 1 91% OK
Profile Combination 1 40% OK

Fastening meets the design criteria!

Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2023 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan

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Phone I Fax: | E-Mail:
Design: Machine Plate Date: 3/8/2023
Fastening point:

4 Remarks; Your Cooperation Duties


● Any and all information and data contained in the Software concern solely the use of Hilti products and are based on the principles,
formulas and security regulations in accordance with Hilti's technical directions and operating, mounting and assembly instructions, etc.,
that must be strictly complied with by the user. All figures contained therein are average figures, and therefore use-specific tests are to be
conducted prior to using the relevant Hilti product. The results of the calculations carried out by means of the Software are based
essentially on the data you put in. Therefore, you bear the sole responsibility for the absence of errors, the completeness and the
relevance of the data to be put in by you. Moreover, you bear sole responsibility for having the results of the calculation checked and
cleared by an expert, particularly with regard to compliance with applicable norms and permits, prior to using them for your specific facility.
The Software serves only as an aid to interpret norms and permits without any guarantee as to the absence of errors, the correctness and
the relevance of the results or suitability for a specific application.
● You must take all necessary and reasonable steps to prevent or limit damage caused by the Software. In particular, you must arrange for
the regular backup of programs and data and, if applicable, carry out the updates of the Software offered by Hilti on a regular basis. If you
do not use the AutoUpdate function of the Software, you must ensure that you are using the current and thus up-to-date version of the
Software in each case by carrying out manual updates via the Hilti Website. Hilti will not be liable for consequences, such as the recovery
of lost or damaged data or programs, arising from a culpable breach of duty by you.

Input data and results must be checked for conformity with the existing conditions and for plausibility!
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