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ANCHOR BOLT DESIGN Combined Tension and Shear

Result Summary                  
Anchor Rod Embedment, Spacing and Edge Distance       Warn  
Overall         ratio = 0.84 OK  
Seismic Design         Tension =   NG  
          Shear =   OK  

Design Code Reference                  
Anchor bolt design based on                 Code Abbreviation
ACI 318M-11 Building Code Requirements for Structural Concrete and Commentary Appendix D ACI 318M-11
PIP STE05121 Anchor Bolt Design Guide-2006 PIP STE05121
AISC Design Guide 1: Base Plate and Anchor Rod Design 2nd Ed AISC Design Guide 1  
                Code Reference
Anchor Bolt Data                    
Factored tensile force Nu = [kN]      
Factored shear force Vu = [kN]      
Concrete strength f'c = [MPa]    
Anchor bolt material   =          
Anchor tensile strength futa = 400 [MPa]         ACI 318M-11
      Anchor is ductile steel element       D.1
Anchor bolt diameter da  = [in]   = 25.4 [mm]    
Anchor bolt has sleeve   =           PIP STE05121
                PIP STE05121
Anchor bolt edge distance c1 c1 = [mm] 114   OK   Page A -1 Table 1
Anchor bolt edge distance c2 c2 = [mm] 114   OK    
Anchor bolt edge distance c3 c3 = [mm] 114   OK    
Anchor bolt edge distance c4 c4 = [mm] 114   OK    
                   
Anchor bolt embedment depth hef = [mm]         ACI 318M-11
ci ≥ 1.5hef for at least two edges to avoid reducing of hef when Nu > 0   OK   D.5.2.3
Anchor bolt adjusted hef for design hef = [mm] 305   OK   D.5.2.3
Concrete thickness ha = [mm] 381   Warn    
                  PIP STE05121
Outermost bolt line spacing s1 s1 = [mm] 102   OK   Page A -1 Table 1
Outermost bolt line spacing s2 s2 = [mm] 102   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 anchor bolt along width edge nbw =            
No of anchor bolt along depth edge nbd =          
                 
No of anchor bolt carrying tension nt =            
No of anchor bolt carrying shear ns =            
Oversized holes in base plate ?   =            
                   
Anchor bolt head type        
Anchor effective cross section area Ase = 391 [mm2]        
Anchor bolt head bearing area Abrg = [mm2]
         
Anchor bolt 1/8" (3mm) corrosion allowance =           ACI 318M-11
Supplementary reinforcement                  
        For tension   = Condition A       D.4.3 (c)
        For shear Yc,v = Condition A       D.6.2.7
                  ACI 318M-11
Provide built-up grout pad ?   =           D.6.1.3
Concrete cracking   =         D.5.2.6, D5.3.6, D.6.2.7
                  ACI 318M-11
Seismic design category SDC >= C   =           D.3.3.1
Anchor bolt load E <= 0.2U Tensile =   Shear =   D.3.3.4.1 & D.3.3.5.1
Anchor bolt satisfies opion Tensile = Shear = D.3.3.4.3 & D.3.3.5.3
                   
Strength reduction factors                 ACI 318M-11
Anchor reinforcement fs = 0.75           D.5.2.9 & D.6.2.9
Anchor rod - ductile steel ft,s = 0.75   fv,s = 0.65   D.4.3 (a)
Concrete ft,c = 0.75  Cdn-A fv,c = 0.75  Cdn-A D.4.3 (c)

CONCLUSION
                 
Anchor Rod Embedment, Spacing and Edge Distance       Warn  
Overall ratio = 0.84 OK  
Tension          
Anchor Rod Tensile Resistance ratio = 0.14 OK  
Concrete Tensile Breakout Resistance ratio = 0.35 OK  
Anchor Pullout Resistance ratio = 0.11 OK  
Side Blowout Resistance ratio = 0.00 NA  
Shear          
Anchor Rod Shear Resistance ratio = 0.34 OK  
Concrete Shear Breakout Resistance - Perpendicular To Edge ratio = 0.65 OK  
Concrete Shear Breakout Resistance - Parallel To Edge ratio = 0.17 OK  
Concrete Pryout Shear Resistance ratio = 0.19 OK  
Tension Shear Interaction          
Tension Shear Interaction ratio = 0.84 OK  
           
Seismic Design         ACI 318M-11
Tension Applicable       NG D.3.3.4
Option A is NOT satisfied    
Seismic SDC>=C and E>0.2U , Option A is selected to satisfy additional seismic requirements as per D.3.3.4.3    
                   
Shear Applicable       OK D.3.3.5
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per D.3.3.5.3    

Assumptions ACI 318M-11
1. Concrete is cracked D.5.2.6, D5.3.6, D.6.2.7
2. Condition A - supplementary reinforcement provided D.4.3 (c)
3. Load combinations shall be per ACI 318M-11 9.2 D.4.3
4. Tensile load acts through center of bolt group Yec,N =1.0 D.5.2.4
5. Shear load acts through center of bolt group Yec,V =1.0 D.6.2.5
6. Anchor bolt washer shall be tack welded to base plate for all anchor bolts to transfer shear AISC Design Guide 1
  Section 3.5.3

CACULATION                  
Anchor Rod Tensile Resistance                 ACI 318M-11
  f t,s Nsa = f t,s nt Ase futa = 469.1 [kN] D.5.1.2 (D-2)
  ratio = 0.14 > Nu OK  
               
Concrete Tensile Breakout Resistance       ACI 318M-11
  Nb = 10 l √fc hef1.5  if hef <280 or hef>635 = 322.5 [kN] D.5.2.2 (D-6)
      3.9 l √fc hef(5/3)  if 280≤ hef ≤635       D.5.2.2 (D-7)
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] D.5.2.1 (D-5)
  ANC = min ( ANC, nt ANCO ) = 9.3E+05 [mm2] D.5.2.1
Min edge distance cmin = min( c1, c2, c3, c4 ) = 380 [mm]  
Eccentricity effects Ψec,N = 1.0  for no eccentric load       D.5.2.4
Edge effects Ψed,N = min[ (0.7+0.3cmin/1.5hef), 1.0 ] = 0.95   D.5.2.5
Concrete cracking Ψc,N = 1  for cracked concrete       D.5.2.6
Concrete splitting Ψcp,N = 1.00  for cast-in anchor       D.5.2.7
               
Concrete breakout resistance ftcNcbg =
ftc  ANC Ψec,N Ψed,N Ψc,N Ψcp,N Nb
ANCO
= 254.0 [kN] D.5.2.1 (D-4)
               
Seismic design strength reduction   = x 0.75 applicable = 190.5 [kN] D.3.3.4.4
  ratio = 0.35 > Nu OK  
               
Anchor Pullout Resistance             ACI 318M-11
Single bolt pullout resistance N p = 8 Abrg fc' = 277.3 [kN] D.5.3.4 (D-14)
  ft,c Npn = f t,c nt Ψc,p Np = 776.6 [kN] D.5.3.1 (D-13)
  Ψc,p = 1.00  for cracked concrete       D.5.3.6
  f t,c = 0.70 pullout strength is always Condition B D.4.3(c)
Seismic design strength reduction   = x 0.75 applicable = 582.4 [kN] D.3.3.4.4
  ratio = 0.11 > Nu OK  
               
Side Blowout Resistance              
Failure Along Pedestal Width Edge             ACI 318M-11
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] RD.5.4.2
  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 D.5.4.1
               
Failure Along Pedestal Depth Edge             ACI 318M-11
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] RD.5.4.2
  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 D.5.4.1
               
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-11
  f v,sVsa = f v,s ns 0.6 Ase futa = 243.9 [kN] D.6.1.2 (b) (D-29)
Reduction due to built-up grout pad   = x 0.8 , applicable = 195.1 [kN] D.6.1.3
  ratio = 0.34 > Vu OK  
               
Conc. Shear Breakout Resistance - Perpendicular To Edge        
Mode 1 Failure cone at front anchors, strength check against 0.5 x Vu
Mode 3 Failure cone at front anchors, strength check against 1.0 x Vu , applicable when oversized holes are used in base plate
               
 
               
Bolt edge distance c1 =   = 380 [mm] ACI 318M-11
Limiting ca1 when anchors are influenced by 3 or more edges = No   D.6.2.4
Bolt edge distance - adjusted c1 = ca1 needs NOT to be adjusted = 380 [mm] D.6.2.4
  c2 =   = 380 [mm]  
  1.5c1 =   = 570 [mm] ACI 318M-11
  Avc = [min(c2,1.5c1) + s2 + min(c4,1.5c1)]x = 4.1E+05 [mm2] D.6.2.1
      min(1.5c1, ha)       ACI 318M-11
  Avco = 4.5c12 = 6.5E+05 [mm2] D.6.2.1 (D-32)
  Avc = min ( Avc, n1 Avco ) = 4.1E+05 [mm2] D.6.2.1
  le = min( 8da , hef ) = 203 [mm] D.6.2.2
  Vb1 = = 203.1 [kN] D.6.2.2 (D-33)
  Vb2 = = 164.0 [kN] D.6.2.2 (D-34)
  Vb = min( Vb1 , Vb2 ) = 164.0 [kN] D.6.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       D.6.2.5
Edge effects Ψed,v = min[ (0.7+0.3c2/1.5c1), 1.0 ] = 0.90   D.6.2.6
Concrete cracking Ψc,v = concrete is cracked = 1.20   D.6.2.7
Member thickness Ψh,v = max[ (sqrt(1.5c1 / ha) , 1.0 ] = 1.22   D.6.2.8
              ACI 318M-11
Conc shear breakout resistance Vcbg =
fv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 102.3 [kN] D.6.2.1 (D-31)
Mode 3 is used for checking Vcbg1 = 1.0 x Vcbg = 102.3 [kN]  
               
Mode 2 Failure cone at back anchors        
               
 
               
Bolt edge distance ca1 = c1 + s1 = 505 [mm] ACI 318M-11
Limiting ca1 when anchors are influenced by 3 or more edges = Yes   D.6.2.4
Bolt edge distance - adjusted ca1 = ca1 needs to be adjusted = 423 [mm] D.6.2.4
  c2 =   = 380 [mm]  
  1.5ca1 =   = 635 [mm] ACI 318M-11
  Avc = [min(c2,1.5ca1)+ s2 + min(c4,1.5ca1)]x = 4.3E+05 [mm2] D.6.2.1
      min(1.5ca1, ha)       ACI 318M-11
  Avco = 4.5ca12 = 8.1E+05 [mm2] D.6.2.1 (D-32)
  Avc = min ( Avc, n2 Avco ) = 4.3E+05 [mm2] D.6.2.1
  le = min( 8da , hef ) = 203 [mm] D.6.2.2
  Vb1 = = 238.9 [kN] D.6.2.2 (D-33)
  Vb2 = = 192.8 [kN] D.6.2.2 (D-34)
  Vb = min( Vb1 , Vb2 ) = 192.8 [kN] D.6.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       D.6.2.5
Edge effects Ψed,v = min[ (0.7+0.3c2/1.5ca1), 1.0 ] = 0.88   D.6.2.6
Concrete cracking Ψc,v = concrete is cracked = 1.20   D.6.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.29   D.6.2.8
              ACI 318M-11
Conc shear breakout resistance Vcbg2 =
fv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 106.0 [kN] D.6.2.1 (D-31)
               
Min shear breakout resistance fv,cVcbg = min ( Vcbg1 , Vcbg2 ) = 102.3 [kN]  
shear perpendicular to edge              
  ratio = 0.65 > Vu OK  
               
Conc. Shear Breakout Resistance - Parallel To Edge        
               
 
               
Mode 1 Shear taken evenly by all anchor bolts, strength check against 0.5 x Vu  
               
Bolt edge distance ca1 = min(c2 , c4) = 380 [mm] ACI 318M-11
Limiting ca1 when anchors are influenced by 3 or more edges = No   D.6.2.4
Bolt edge distance - adjusted ca1 = ca1 needs NOT to be adjusted = 380 [mm] D.6.2.4
  1.5ca1 =   = 570 [mm] ACI 318M-11
  Avc = [min(c1,1.5ca1) + s1+ min(c3,1.5ca1)]x = 4.1E+05 [mm2] D.6.2.1
      min(1.5ca1, ha)       ACI 318M-11
  Avco = 4.5ca12 = 6.5E+05 [mm2] D.6.2.1 (D-32)
  Avc = min ( Avc, nbd Avco ) = 4.1E+05 [mm2] D.6.2.1
  le = min( 8da , hef ) = 203 [mm] D.6.2.2
  Vb1 = = 203.1 [kN] D.6.2.2 (D-33)
  Vb2 = = 164.0 [kN] D.6.2.2 (D-34)
  Vb = min( Vb1 , Vb2 ) = 164.0 [kN] D.6.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       D.6.2.5
Edge effects Ψed,v =   = 1.00   D.6.2.1 (c)
Concrete cracking Ψc,v = concrete is cracked = 1.20   D.6.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.22   D.6.2.8
              ACI 318M-11
Conc shear breakout resistance Vcbg-p1 =
2xfv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 227.3 [kN] D.6.2.1 (D-31)
              D.6.2.1 (c)
               
Mode 2 Shear taken evenly by back anchor bolts, strength check against 0.5 x Vu  
               
Bolt edge distance ca1 = min(c2 , c4) = 380 [mm] ACI 318M-11
Limiting ca1 when anchors are influenced by 3 or more edges = No   D.6.2.4
Bolt edge distance - adjusted ca1 = ca1 needs NOT to be adjusted = 380 [mm] D.6.2.4
  1.5ca1 =   = 570 [mm] ACI 318M-11
  Avc = [min(s1+c1,1.5ca1) +min(c3,1.5ca1)]x = 4.1E+05 [mm2] D.6.2.1
      min(1.5ca1, ha)       ACI 318M-11
  Avco = 4.5ca12 = 6.5E+05 [mm2] D.6.2.1 (D-32)
  Avc = min ( Avc, nbd Avco ) = 4.1E+05 [mm2] D.6.2.1
  le = min( 8da , hef ) = 203 [mm] D.6.2.2
  Vb1 = = 203.1 [kN] D.6.2.2 (D-33)
  Vb2 = = 164.0 [kN] D.6.2.2 (D-34)
  Vb = min( Vb1 , Vb2 ) = 164.0 [kN] D.6.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       D.6.2.5
Edge effects Ψed,v =   = 1.00   D.6.2.1 (c)
Concrete cracking Ψc,v = concrete is cracked = 1.20   D.6.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.22   D.6.2.8
              ACI 318M-11
Conc shear breakout resistance Vcbg-p2 =
2xfv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 227.3 [kN] D.6.2.1 (D-31)
              D.6.2.1 (c)
               
Mode 3 Shear taken evenly by front anchor bolts, strength check against 0.5 x Vu  
               
Bolt edge distance ca1 = min(c2 , c4) = 380 [mm] ACI 318M-11
Limiting ca1 when anchors are influenced by 3 or more edges = No   D.6.2.4
Bolt edge distance - adjusted ca1 = ca1 needs NOT to be adjusted = 380 [mm] D.6.2.4
  1.5ca1 =   = 570 [mm] ACI 318M-11
  Avc = [min(c1,1.5ca1) +  min(s1+c3,1.5ca1)]x = 3.6E+05 [mm2] D.6.2.1
      min(1.5ca1, ha)       ACI 318M-11
  Avco = 4.5ca12 = 6.5E+05 [mm2] D.6.2.1 (D-32)
  Avc = min ( Avc, nbd Avco ) = 3.6E+05 [mm2] D.6.2.1
  le = min( 8da , hef ) = 203 [mm] D.6.2.2
  Vb1 = = 203.1 [kN] D.6.2.2 (D-33)
  Vb2 = = 164.0 [kN] D.6.2.2 (D-34)
  Vb = min( Vb1 , Vb2 ) = 164.0 [kN] D.6.2.2
Eccentricity effects Ψec,v = 1.0 shear acts through center of group       D.6.2.5
Edge effects Ψed,v =   = 1.00   D.6.2.1 (c)
Concrete cracking Ψc,v = concrete is cracked = 1.20   D.6.2.7
Member thickness Ψh,v = max[ (sqrt(1.5ca1 / ha) , 1.0 ] = 1.22   D.6.2.8
              ACI 318M-11
Conc shear breakout resistance Vcbg-p3 =
2xfv,c  Avc Ψec,v Ψed,v Ψc,v Ψh,v Vb
Avco
= 200.8 [kN] D.6.2.1 (D-31)
              D.6.2.1 (c)
Min shear breakout resistance fvcVcbgp = min(Vcbg-p1 ,Vcbg-p2 , Vcbg-p3 )x2 side = 401.7 [kN]  
shear parallel to edge              
  ratio = 0.17 > Vu OK  
               
Conc. Pryout Shear Resistance             ACI 318M-11
  kcp = 2.0       D.6.3.1
Factored shear pryout resistance fv,cVcpg = fv,c kcp Ncbg = 474.2 [kN] D.6.3.1 (D-41)
  f v,c = 0.7  pryout strength is always Condition B   D.4.3 (c)
               
Seismic design strength reduction   = x 0.75 applicable = 355.6 [kN] D.3.3.4.4
  ratio = 0.19 > Vu OK  
               
Govern Shear Resistance Vr = min ( fVsa , fVcbg , fVcbg-p , fVcpg ) = 102.3 [kN]  
               
Tension Shear Interaction             ACI 318M-11
Check if Nu >0.2f Nn and Vu >0.2f Vn = Yes       D.7.1 & D.7.2
      Nu / f Nn + Vu / f Vn = 1.00   D.7.3 (D-42)
  ratio = 0.84 < 1.2 OK  
               
Seismic Design              
Tension     Applicable     NG  
Option A is selected. ACI 318M-11
The program will flag OK if D.3.3.4.3(a) subsections 1 & 2 are met and the ductile anchor steel strength
has the highest utilization ratio.  User has to verify the conditions in D.3.3.4.3(a) subsections 3~6, as applicable, are met.
D.3.3.4.3(a)
               
Steel nominal strength x 1.2 1.2Nsa = 750.5 [kN]          
Conc governed nominal strength Ncbg = 338.7 [kN] Npn = 1109.4 [kN]  
   Nsbg = 0.0 [kN]          
Nu / min( Ncbg , Npn , Nsbg ) = 0.20   Nu / 1.2Nsa = 0.09    
          < 0.20 NG  
                   
Option A is NOT satisfied    
                   
Seismic SDC>=C and E>0.2U , Option A is selected to satisfy additional seismic requirements as per D.3.3.4.3    
               
Shear     Applicable     OK  
Option C is selected.             ACI 318M-11
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
D.3.3.5.3(c)
               
Seismic SDC>=C and E>0.2U , Option C is selected to satisfy additional seismic requirements as per D.3.3.5.3    
                   

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