Proračun Ankera
Proračun Ankera
14
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Company:                                                                                                          Page:                                   1
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                           4/25/2025
Fastening point:
Specifier's comments:
 1 Anchor Design
 1.1 Input data
 Anchor plate
                  CBFEM
                          :                          lx x ly x t = 300.0 mm x 220.0 mm x 20.0 mm;
  CBFEM
          - The anchor calculation is 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 ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
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Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:                                                    2
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                                        4/25/2025
Fastening point:
                                                                                                                                                  y
 Anchor reactions [kN]
 Tension force: (+Tension, -Compression)                                                                                          3                                    4
       Anchor            Tension force           Shear force          Shear force x         Shear force y
             1                3.448                 3.669                 0.094                 -3.667
                                                                                                                                           Tension
             2                3.011                  3.543                 0.174                 -3.538                                                        x
             3               11.757                  3.652                 0.153                 -3.649
             4               11.521                  3.516                -0.061                 -3.516                                  Compression
1 2
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 ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                                   2
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                            Page:                                               3
Address:                                                                                                            Specifier:
Phone I Fax:                                         |                                                              E-Mail:
Design:                                              Concrete - Apr 22, 2025                                        Date:                                        4/25/2025
Fastening point:
               N
  NEd £ NRd,s = Rk,s                           EN 1992-4, Table 7.1
                gMs
                        y c · NRk,p
  NEd £ NRd,p =                                          EN 1992-4, Table 7.1
                            gMp
               N
  NEd £ NRd,c = Rk,c                                                                           EN 1992-4, Table 7.1
                gMc
                            0        Ac,N
  NRk,c             = NRk,c ·          0
                                            · y s,N · y re,N · y ec1,N · y ec2,N · y M,N       EN 1992-4, Eq. (7.1)
                                     Ac,N
    0                                       1,5
  NRk,c             = k1 · √fck · hef                                                          EN 1992-4, Eq. (7.2)
   0
  Ac,N              = scr,N · scr,N                                                            EN 1992-4, Eq. (7.3)
                                             c
  y s,N             = 0.7 + 0.3 ·                   1.00                                       EN 1992-4, Eq. (7.4)
                                            ccr,N £
                                     1
  y ec1,N           =                               £ 1.00                                     EN 1992-4, Eq. (7.6)
                        1+      (   2 · eN,1
                                     scr,N     )
                                     1
  y ec2,N           =                               £ 1.00                                     EN 1992-4, Eq. (7.6)
                        1+      (   2 · eN,2
                                     scr,N     )
  y M,N             =1                                                                         EN 1992-4, Eq. (7.7)
                        2                     0             2                                                                   2
          Ac,N [mm ]                        Ac,N [mm ]               ccr,N [mm]            scr,N [mm]             fc,cyl [N/mm ]
            67,275                           38,025                     97.5                 195.0                   25.00
   Group anchor ID
             1, 3
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                                  3
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                               Page:                                  4
Address:                                                                                                               Specifier:
Phone I Fax:                                              |                                                            E-Mail:
Design:                                                   Concrete - Apr 22, 2025                                      Date:                           4/25/2025
Fastening point:
                N
  NEd £ NRd,sp = Rk,sp                                                                                  EN 1992-4, Table 7.1
                 gMsp
                            0           Ac,N
  NRk,sp               = NRk,sp ·            0
                                                  · y s,N · y re,N · y ec1,N · y ec2,N · y h,sp         EN 1992-4, Eq. (7.23)
                                        Ac,N
    0
  NRk,sp               = min (NRk,p, N0Rk,c)
   0
  Ac,N                 = scr,sp · scr,sp                                                                EN 1992-4, Eq. (7.3)
                                                      c
  y s,N                = 0.7 + 0.3 ·                      1.00                                          EN 1992-4, Eq. (7.4)
                                                 ccr,sp £
                                       1
  y ec1,N              =                                  £ 1.00                                        EN 1992-4, Eq. (7.6)
                           1+    (    2 · eN,1
                                       scr,sp         )
                                       1
  y ec2,N              =                                  £ 1.00                                        EN 1992-4, Eq. (7.6)
                           1+    (    2 · eN,2
                                       scr,sp         )
                                                           {1; (h                    ) } £ 2.00
                                       2/3                                            2/3
  y h,sp               =   (hh )min
                                                 £ max
                                                                    ef   + 1.5· c1
                                                                          hmin
                                                                                                        EN 1992-4, Eq. (7.24)
                                                  0          2
          Ac,N [mm ]
                       2
                                                 Ac,N [mm ]                 ccr,sp [mm]           scr,sp [mm]         hmin [mm]     y h,sp               2
                                                                                                                                             fc,cyl [N/mm ]
            74,464                                43,264                       104.0                208.0              120.0        1.406       25.00
   Group anchor ID
                1, 3
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                        4
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                           Page:                                            5
Address:                                                                                                           Specifier:
Phone I Fax:                                         |                                                             E-Mail:
Design:                                              Concrete - Apr 22, 2025                                       Date:                                     4/25/2025
Fastening point:
               V
  VEd £ VRd,s = Rk,s                                 EN 1992-4, Table 7.2
                gMs
                                0
  VRk,s               = k7 ·   VRk,s                 EN 1992-4, Eq. (7.35)
            0
          VRk,s [kN]                                k7             VRk,s [kN]              gMs                    VRd,s [kN]         VEd [kN]
            54.500                           1.000                  54.500               1.250                     43.600             3.669
 1.4.2 Pryout Strength
                 V
  VEd £ VRd,cp = Rk,cp                                                                      EN 1992-4, Table 7.2
                  gMc,p
  VRk,cp       = k8 · NRk,c                                                                 EN 1992-4, Eq. (7.39a)
                   0    A
  NRk,c        = NRk,c · c,N
                          0
                             · y s,N · y re,N · y ec1,N · y ec2,N · y M,N                   EN 1992-4, Eq. (7.1)
                        Ac,N
    0                                      1,5
  NRk,c               = k1 · √fck · hef                                                     EN 1992-4, Eq. (7.2)
   0
  Ac,N                = scr,N · scr,N                                                       EN 1992-4, Eq. (7.3)
                                            c
  y s,N               = 0.7 + 0.3 ·                1.00                                     EN 1992-4, Eq. (7.4)
                                           ccr,N £
                                      1
  y ec1,N             =                             £ 1.00                                  EN 1992-4, Eq. (7.6)
                            1+   (   2 · eV,1
                                      scr,N     )
                                      1
  y ec2,N             =                             £ 1.00                                  EN 1992-4, Eq. (7.6)
                            1+   (   2 · eV,2
                                      scr,N     )
  y M,N               =1                                                                    EN 1992-4, Eq. (7.7)
                        2                   0             2                                                                                     2
          Ac,N [mm ]                      Ac,N [mm ]               ccr,N [mm]         scr,N [mm]                      k8           fc,cyl [N/mm ]
            33,638                          38,025                   97.5                195.0                     3.410              25.00
   Group anchor ID
                1
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                              5
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                                  Page:                                       6
Address:                                                                                                                  Specifier:
Phone I Fax:                                                |                                                             E-Mail:
Design:                                                     Concrete - Apr 22, 2025                                       Date:                               4/25/2025
Fastening point:
               V
  VEd £ VRd,c = Rk,c                                                                                      EN 1992-4, Table 7.2
                gMc
                                 0            Ac,V
  VRk,c             = kT · VRk,c ·                 0
                                                          · y s,V · y h,V · y a,V · y ec,V · y re,V       EN 1992-4, Eq. (7.40)
                                              Ac,V
      0                       a               b                 1,5
  VRk,c             = k9 · dnom · lf · √fck · c1                                                          EN 1992-4, Eq. (7.41)
                                              0,5
  a                 = 0.1 · ()       lf
                                     c1
                                                                                                          EN 1992-4, Eq. (7.42)
                                                    0,2
                    = 0.1 · (
                               c )
                              d       nom
  b                                                                                                       EN 1992-4, Eq. (7.43)
                                          1
   0                           2
  Ac,V              = 4.5 ·   c1                                                                          EN 1992-4, Eq. (7.44)
                                     c2
  y s,V             = 0.7 + 0.3 ·            1.00                                                         EN 1992-4, Eq. (7.45)
                                  1.5 · c1 £
                                              0,5
  y h,V             =   (1.5h· c )    1
                                                       ³ 1.00                                             EN 1992-4, Eq. (7.46)
                                 1
  y ec,V            =                                  £ 1.00                                             EN 1992-4, Eq. (7.47)
                        1+   (   2 · eV
                                 3 · c1        )
  y a,V             =   √(cos a ) + (10.5 · sin a )
                                          V
                                               2
                                                                        V
                                                                            2   ³ 1.00                    EN 1992-4, Eq. (7.48)
      Group anchor ID
             1, 3
When the input edge distance is set to "infinity", edge breakout verification is not performed in that direction
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                                  6
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                          Page:                                 7
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                     4/25/2025
Fastening point:
 1.5 Combined tension and shear loads (EN 1992-4, Section 7.2.3)
 Steel failure
  a     a
bN + bV £ 1.0
Concrete failure
  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!
 • The equations presented in this report are based on metric units. When inputs are displayed in imperial units, the user should be aware that
   the equations remain in their metric format.
 • Checking the transfer of loads into the base material is required in accordance with EN 1992-4, Annex A!
 • The design is only valid if the clearance hole in the fixture is not larger than the value given in Table 6.1 of EN 1992-4! For larger diameters
   of the clearance hole see section 6.2.2 of EN 1992-4!
 • 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.
 • For the determination of the y re,v (concrete edge failure) the minimum concrete cover defined in the design settings is used as the concrete
   cover of the edge reinforcement.
 • 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 ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                               7
Hilti PROFIS Engineering 3.1.14
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Company:                                                                                                          Page:                                                  8
Address:                                                                                                          Specifier:
Phone I Fax:                              |                                                                       E-Mail:
Design:                                   Concrete - Apr 22, 2025                                                 Date:                                         4/25/2025
Fastening point:
Hilti HST3 stud anchor with 65 mm embedment, M16 hef1, Steel galvanized, installation per ETA 98/0001
                                                                                       y
                                                   150.0                                                   150.0
35.0
                                              3                                                                                4
                                                                                                                                               110.0
                50.0
150.0
                                                                                                                                                       x
                                                                                                                                               110.0
                                              1                                                                                2
                                                                                                                                       35.0
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                                     8
Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:               9
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:        4/25/2025
Fastening point:
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                9
Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:                                         10
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                                  4/25/2025
Fastening point:
User accepted to consider the selected anchor plate as rigid by his/her engineering judgement. This means the anchor design guidelines can
be applied.
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                                           10
Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:                           11
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                   4/25/2025
Fastening point:
2.3 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.
●     Calculation with profiles thinner than 4.0 mm might be outside of EN19931-1 and EN1993-1-8.
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                             11
Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:                       12
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                 4/25/2025
Fastening point:
3 Summary of results
                                                         Load combination                                 Max. utilization     Status
                  Anchors                                  Combination 1                                       64%              OK
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
                                                                                                                                         12
Hilti PROFIS Engineering 3.1.14
www.hilti.rs
Company:                                                                                                          Page:                            13
Address:                                                                                                          Specifier:
Phone I Fax:                             |                                                                        E-Mail:
Design:                                  Concrete - Apr 22, 2025                                                  Date:                     4/25/2025
Fastening point:
Input data and results must be checked for conformity with the existing conditions and for plausibility!
PROFIS Engineering ( c ) 2003-2025 Hilti AG, FL-9494 Schaan Hilti is a registered Trademark of Hilti AG, Schaan
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