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STUD ANCHOR DESIGN Combined Tension and Shear
Result Summary                  
Anchor Rod Embedment, Spacing and Edge Distance       Warn  
Overall         ratio = 0.82 OK  
Seismic Design         Tension =   OK  
          Shear =   OK  
Design Code Reference                  
Welded stud design based on                 Code Abbreviation
ACI 318M-14 Metric Building Code Requirements for Structural Concrete and Commentary ACI 318M-14
PIP STE05121 Anchor Bolt Design Guide-2006 PIP STE05121
                Code Reference
Welded Stud Data                    
Factored tensile force Nu = [kN]      
Factored shear force Vu = [kN]      
Concrete strength f'c = [MPa]    
Welded stud material   =          
Anchor tensile strength futa = 65.0 [MPa]         ACI 318M-14
      Anchor is ductile steel element       2.3 & 17.3.3 (a)
Welded stud diameter da  = [in]   = 19.1 [mm]    
Anchor effective cross section area Ase = 285 [mm2]        
Welded stud head bearing area Abrg = [mm2]        
                PIP STE05121
Welded stud edge distance c1 c1 = [mm] 114   OK   Page A -1 Table 1
Welded stud edge distance c2 c2 = [mm] 114   OK    
Welded stud edge distance c3 c3 = [mm] 114   OK    
Welded stud edge distance c4 c4 = [mm] 114   OK    
                   
Welded stud embedment depth hef = [mm]         ACI 318M-14
ci ≥ 1.5hef for at least two edges to avoid reducing of hef when Nu > 0   OK   17.4.2.3
Welded stud adjusted hef for design hef = [mm] 229   OK   17.4.2.3
Concrete thickness ha = [mm] 381   Warn    
                  PIP STE05121
Outermost bolt line spacing s1 s1 = [mm] 76   OK   Page A -1 Table 1
Outermost bolt line spacing s2 s2 = [mm] 76   OK    
                   
 
                   
For conc shear breakout check use                  
Number of anchor at bolt line 1 n1 =            
Number of anchor at bolt line 2 n2 =            
                   
For conc side-face blowout check use                
No of welded stud along width edge nbw =            
No of welded stud along depth edge nbd =          
                 
Total no of welded stud n =          
No of welded stud carrying tension nt =            
No of welded stud carrying shear ns =            
                   
Supplementary reinforcement                 ACI 318M-14
        For tension   = Condition A       17.3.3 (c)
        For shear Yc,v = Condition A       17.5.2.7
                  ACI 318M-14
Provide built-up grout pad ?   =           17.5.1.3
Concrete cracking   =         17.4.2.6, 17.4.3.6, 17.5.2.7
                  ACI 318M-14
Seismic design category SDC >= C   =           17.2.3.1
Welded stud load E <= 0.2U Tensile =   Shear =   17.2.3.4.1 & 17.2.3.5.1
Welded stud satisfies opion Tensile = Shear = 17.2.3.4.3 & 17.2.3.5.3
                   
Strength reduction factors                 ACI 318M-14
Anchor reinforcement fs = 0.75           17.4.2.9 & 17.5.2.9
Anchor rod - ductile steel ft,s = 0.75   fv,s = 0.65   17.3.3 (a)
Concrete ft,c = 0.75  Cdn-A fv,c = 0.75  Cdn-A 17.3.3 (c)
CONCLUSION
                 
Anchor Rod Embedment, Spacing and Edge Distance       Warn  
Overall ratio = 0.82 OK  
Tension          
Anchor Rod Tensile Resistance ratio = 0.17 OK  
Concrete Tensile Breakout Resistance ratio = 0.35 OK  
Anchor Pullout Resistance ratio = 0.22 OK  
Side Blowout Resistance ratio = 0.00 NA  
Shear          
Anchor Rod Shear Resistance ratio = 0.20 OK  
Concrete Shear Breakout Resistance - Perpendicular To Edge ratio = 0.63 OK  
Concrete Shear Breakout Resistance - Parallel To Edge ratio = 0.15 OK  
Concrete Pryout Shear Resistance ratio = 0.19 OK  
Tension Shear Interaction          
Tension Shear Interaction ratio = 0.82 OK  
           
Seismic Design         ACI 318M-14
Tension Applicable       OK 17.2.3.4
Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per 17.2.3.4.3    
                   
Shear Applicable       OK 17.2.3.5
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per 17.2.3.5.3    
Assumptions ACI 318M-14
1. Concrete is cracked 17.4.2.6, 17.4.3.6, 17.5.2.7
2. Condition A - supplementary reinforcement provided 17.3.3 (c)
3. Load combinations shall be per ACI 318M-14 5.3.1 17.3.3
4. Tensile load acts through center of bolt group Yec,N =1.0 17.4.2.4
5. Shear load acts through center of bolt group Yec,V =1.0 17.5.2.5
CACULATION                  
Anchor Rod Tensile Resistance                 ACI 318M-14
  f t,s Nsa = f t,s nt Ase futa = 383.4 [kN] 17.4.1.2 Eq 17.4.1.2
  ratio = 0.17 > Nu OK  
               
Concrete Tensile Breakout Resistance       ACI 318M-14
  Nb = 10 l √fc hef1.5  if hef <280 or hef>635 = 322.5 [kN] 17.4.2.2 Eq 17.4.2.2a
      3.9 l √fc hef(5/3)  if 280≤ hef ≤635       17.4.2.2 Eq 17.4.2.2b
Projected conc failure area 1.5 hef =   = 458 [mm]  
  ANC = [s1+min(c1,1.5hef)+min(c3,1.5hef)]x = 9.3E+05 [mm2]  
      [s2+min(c2,1.5hef)+min(c4,1.5hef)]        
  ANCO = 9 hef2 = 8.4E+05 [mm2] 17.4.2.1 Eq 17.4.2.1c
  ANC = min ( ANC, nt ANCO ) = 9.3E+05 [mm2] 17.4.2.1
Min edge distance cmin = min( c1, c2, c3, c4 ) = 380 [mm]  
Eccentricity effects Ψec,N = 1.0  for no eccentric load       17.4.2.4
Edge effects Ψed,N = min[ (0.7+0.3cmin/1.5hef), 1.0 ] = 0.95   17.4.2.5
Concrete cracking Ψc,N = 1  for cracked concrete       17.4.2.6
Concrete splitting Ψcp,N = 1.00  for cast-in anchor       17.4.2.7
               
Concrete breakout resistance ftcNcbg =
ftc  ANC Ψec,N Ψed,N Ψc,N Ψcp,N Nb
ANCO
= 254.0 [kN] 17.4.2.1 Eq 17.4.2.1b
               
Seismic design strength reduction   = x 0.75 applicable = 190.5 [kN] 17.2.3.4.4
  ratio = 0.35 > Nu OK  
               
Anchor Pullout Resistance             ACI 318M-14
Single bolt pullout resistance N p = 8 Abrg fc' = 145.0 [kN] 17.4.3.4 Eq 17.4.3.4
  ft,c Npn = f t,c nt Ψc,p Np = 406.1 [kN] 17.4.3.1 Eq 17.4.3.1
  Ψc,p = 1.00  for cracked concrete       17.4.3.6
  f t,c = 0.70 pullout strength is always Condition B 17.3.3(c)
Seismic design strength reduction   = x 0.75 applicable = 304.6 [kN] 17.2.3.4.4
  ratio = 0.22 > Nu OK  
               
Side Blowout Resistance              
Failure Along Pedestal Width Edge             ACI 318M-14
Tensile load carried by anchors close to edge which may cause side-face blowout        
along pedestal width edge Nbuw = Nu x nbw / nt = 33.4 [kN] R17.4.4.2
  c = min ( c1 , c3 ) = 380 [mm]  
  s = s2 = 125 [mm]  
Check if side blowout applicable hef = 305 [mm]          
    < 2.5c side bowout is NOT applicable 17.4.4.1
               
Failure Along Pedestal Depth Edge             ACI 318M-14
Tensile load carried by anchors close to edge which may cause side-face blowout        
along pedestal depth edge Nbud = Nu x nbd / nt = 33.4 [kN] R17.4.4.2
  c = min ( c2, c4 ) = 380 [mm]  
  s = s1 = 125 [mm]  
Check if side blowout applicable hef = 305 [mm]          
    < 2.5c side bowout is NOT applicable 17.4.4.1
               
Group side blowout resistance ftc Nsbg = = 0.0 [kN]  
               
Govern Tensile Resistance Nr = min ( f Nsa, f Ncbg, f Npn, f Nsbg ) =  190.5 [kN]  
               
Anchor Rod Shear Resistance             ACI 318M-14
  f v,sVsa = f v,s ns Ase futa = 332.3 [kN] 17.5.1.2 Eq 17.5.1.2a
Reduction due to built-up grout pad   = x 1.0 , not applicable = 332.3 [kN] 17.5.1.3
  ratio = 0.20 > Vu OK  
               
Conc. Shear Breakout Resistance - Perpendicular To Edge       ACI 318M-14
Only Case 2 needs to be considered when anchors are rigidly connected to the attachment Fig. R17.5.2.1b notes
This applies to welded stud case so only Mode 2 is considered for shear checking in Case 2
               
Mode 2 Failure cone at back anchors        
               
 
               
Bolt edge distance ca1 = c1 + s1 = 505 [mm] ACI 318M-14
Limiting ca1 when anchors are influenced by 3 or more edges = Yes   17.5.2.4
Bolt edge distance - adjusted ca1 = ca1 needs to be adjusted = 423 [mm] 17.5.2.4
  c2 =   = 380 [mm]  
  1.5ca1 =   = 635 [mm] ACI 318M-14
  Avc = [min(c2,1.5ca1)+ s2 + min(c4,1.5ca1)]x = 4.3E+05 [mm2] 17.5.2.1
      min(1.5ca1, ha)       ACI 318M-14
  Avco = 4.5ca12 = 8.1E+05 [mm2] 17.5.2.1 Eq 17.5.2.1c
  Avc = min ( Avc, n2 Avco ) = 4.3E+05 [mm2] 17.5.2.1
  le = min( 8da , hef ) = 152 [mm] 17.5.2.2
  Vb1 = = 227.5 [kN] 17.5.2.3 Eq 17.5.2.3
  Vb2 = = 192.8 [kN] 17.5.2.2 Eq 17.5.2.2b
  Vb = min( Vb1 , Vb2 ) = 192.8 [kN] 17.5.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       17.5.2.5
Edge effects Ψed,v = min[ (0.7+0.3c2/1.5ca1), 1.0 ] = 0.88   17.5.2.6
Concrete cracking Ψc,v = concrete is cracked = 1.20   17.5.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.29   17.5.2.8
              ACI 318M-14
Conc shear breakout resistance Vcbg =
fv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 106.0 [kN] 17.5.2.1 Eq 17.5.2.1b
  ratio = 0.63 > Vu OK  
               
Conc. Shear Breakout Resistance - Parallel To Edge        
               
 
              ACI 318M-14
Only Case 2 needs to be considered when anchors are rigidly connected to the attachment Fig. R17.5.2.1b notes
This applies to welded stud case so only Mode 2 is considered for shear checking in Case 2
   
Mode 2 Shear taken evenly by back welded studs, strength check against 0.5 x Vu  
               
Bolt edge distance ca1 = min(c2 , c4) = 380 [mm] ACI 318M-14
Limiting ca1 when anchors are influenced by 3 or more edges = No   17.5.2.4
Bolt edge distance - adjusted ca1 = ca1 needs NOT to be adjusted = 380 [mm] 17.5.2.4
  1.5ca1 =   = 570 [mm] ACI 318M-14
  Avc = [min(s1+c1,1.5ca1) +min(c3,1.5ca1)]x = 4.1E+05 [mm2] 17.5.2.1
      min(1.5ca1, ha)       ACI 318M-14
  Avco = 4.5ca12 = 6.5E+05 [mm2] 17.5.2.1 Eq 17.5.2.1c
  Avc = min ( Avc, nbd Avco ) = 4.1E+05 [mm2] 17.5.2.1
  le = min( 8da , hef ) = 152 [mm] 17.5.2.2
  Vb1 = = 193.5 [kN] 17.5.2.3 Eq 17.5.2.3
  Vb2 = = 164.0 [kN] 17.5.2.2 Eq 17.5.2.2b
  Vb = min( Vb1 , Vb2 ) = 164.0 [kN] 17.5.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       17.5.2.5
Edge effects Ψed,v =   = 1.00   17.5.2.1 (c)
Concrete cracking Ψc,v = concrete is cracked = 1.20   17.5.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.22   17.5.2.8
              ACI 318M-14
Conc shear breakout resistance Vcbg-p =
2xfv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 454.5 [kN] 17.5.2.1 Eq 17.5.2.1b
      x 2 side       17.5.2.1 (c)
  ratio = 0.15 > Vu OK  
               
Conc. Pryout Shear Resistance             ACI 318M-14
  kcp = 2.0       17.5.3.1
Factored shear pryout resistance fv,cVcpg = fv,c kcp Ncbg = 474.2 [kN] 17.5.3.1 Eq 17.5.3.1b
  f v,c = 0.7  pryout strength is always Condition B   17.3.3 (c)
               
Seismic design strength reduction   = x 0.75 applicable = 355.6 [kN] 17.2.3.4.4
  ratio = 0.19 > Vu OK  
               
Govern Shear Resistance Vr = min ( fVsa , fVcbg , fVcbg-p , fVcpg ) = 106.0 [kN]  
               
Tension Shear Interaction             ACI 318M-14
Check if Nu >0.2f Nn and Vu >0.2f Vn = Yes       17.6.1 & 17.6.2
      Nu / f Nn + Vu / f Vn = 0.98   17.6.3 Eq 17.6.3
  ratio = 0.82 < 1.2 OK  
               
Seismic Design              
Tension     Applicable     OK  
Option D is selected. ACI 318M-14
User has to ensure that the tensile load Nu user input above includes the seismic load E, with E increased
by multiplying overstrength factor Ωo 		17.2.3.4.3(d)
                   
Seismic SDC>=C and E>0.2U , Option D is selected to satisfy additional seismic requirements as per 17.2.3.4.3    
               
Shear     Applicable     OK  
Option C is selected.             ACI 318M-14
User has to ensure that the shear load Vu user input above includes the seismic load E, with E increased
by multiplying overstrength factor Ωo 		17.2.3.5.3(c)
               
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per 17.2.3.5.3    
                   

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