Content. Content. July

Transcription

1 Content Content 5. Instructon for use HAC Hlt Anchor Channel HBC specal screws Materal propertes Settng torque T nst for HAC- through HAC Tghtenng torque T nst for HAC-4 through HAC Characterstc resstance for steel falure of the channel Characterstc resstance for steel falure of specal screw type HBC-A, HBC-B, HBC-C, HBC-C-E, HBC-C Desgn tensle pull-out falure Desgn tensle concrete cone falure Desgn tensle splttng falure: Desgn shear pry out falure Desgn shear concrete edge falure Characterstc fre resstance for steel falure of channel n cracked concrete C/ Characterstc fre resstance for steel falure of specal screw type HBC-A, HBC-B, HBC-C Desgn tensle pull-out falure under fre n cracked concrete C/ Desgn tensle concrete cone falure under fre n cracked concrete C/ Desgn shear pry out falure under fre n cracked concrete C/ Desgn shear concrete edge falure under fre n cracked concrete C/ Desgn examples Example : Anchor channel subjected to statc load (-legged anchor channel) Example : Anchor channel subjected to statc load (3-legged anchor channel) Example 3: Anchor channel subjected to a fre load (-legged anchor channel) July 3

2 Dear customer, As t s our ambton to be the worldwde leader n fastenng technology, we are contnuously strvng to provde you wth state-of-the-art techncal nformaton reflectng the latest developments n codes, regulatons and approvals and techncal nformaton for our products. The Fastenng Technology Manual for anchor channel reflects our ongong nvestment nto long term research, and development of leadng fastenng products. Ths Fastenng Technology Manual for Anchor Channel should be a valuable support tool for you when solvng fastenng tasks wth cast-n fastenng technology. It should provde you wth profound techncal knowhow, and help you to be more productve n your daly work wthout any compromse regardng relablty and safety. We wll expand ts scope further, along wth more cast-n products we wll develop n the future. As we strve to be a relable partner for you, we would very much apprecate your feedback for mprovements. We are avalable at any tme to answer addtonal questons that even go beyond ths content. Ramund Zaggl Busness Unt Anchor May

3 Important otce Important notce. The nformaton and recommendatons gven heren are based on the prncples, formulae and safety factors set out n the Hlt techncal nstructons, the operatng manuals, the settng nstructons, the nstallaton manuals and other data sheets that are beleved to be correct at the tme of wrtng. The data and values are based on the respectve characterstc data obtaned from tests under laboratory or other controlled condtons. It s the user s responsblty to use the data gven n the lght of condtons on ste and takng nto account the ntended use of the products concerned. The user has to check the lsted prerequstes and crtera conform to the condtons actually exstng on the job-ste. Whlst Hlt can gve general gudance and advce, the nature of Hlt products means that the ultmate responsblty for selectng the rght product for a partcular applcaton must le wth the customer.. All products must be used, handled and appled strctly n accordance wth all current nstructons for use publshed by Hlt,.e. techncal nstructons, operatng manuals, settng nstructons, nstallaton manuals and others. 3. All products are suppled and advce s gven subject to the Hlt terms of busness. 4. Hlt s polcy s one of contnuous development. We therefore reserve the rght to alter specfcatons, etc. wthout notce. 5. The gven characterstc data n the Anchor Channel Fastenng Technology Manual reflect actual test results and are thus vald only for the ndcated test condtons. 6. Hlt s not oblgated for drect, ndrect, ncdental or consequental damages, losses or expenses n connecton wth, or by reason of, the use of, or nablty to use the products for any purpose. Impled warrantes of merchantablty or ftness for a partcular purpose are specally excluded. Hlt Corporaton FL-9494 Schaan Prncpalty of Lechtensten Hlt regstered trademark of the Hlt Corporaton, Schaan July

4 Introducton Introducton In over 6 years Hlt has acqured tremendous know-how and ganed worldwde acceptance as a relable partner n the feld of fastenng systems. Beng an nnovatve company, our foremost goal s to provde nnovatve, well-engneered products. Accordngly, we now offer an extensve cast-n anchor channel portfolo for a wde range of applcatons. Anchor channel systems have been awarded approvals by Germany s DIBt (Deutsches Insttut für Bautechnk) snce the 97s. Based on the state of the art at that tme, these approvals represented a great step forward toward use of approved and relable systems. But over the past few years the approach to the use of cast-n parts n the constructon ndustry has changed sgnfcantly. Up to now, the desgn of these systems has been based on tables. The load values gven n these tables represent steel falure. Ths often results n systems beng massvely over-desgned and boundary condtons are chosen to ensure that concrete falure cannot be expected. Today, n a world where cost-effcent desgn s absolutely crucal and natural resources such as the ron that goes nto makng steel are consdered ncreasngly precous, the demand for better materal utlzaton has grown. In recent years, a better understandng of varous anchor channel falure modes has also been ganed. Intensve research and testng has now yelded a new desgn method that elevates anchor channel desgn to the level of anchor desgn. A sde effect of ths new desgn method s the requrement for a complex calculaton and verfcaton model. All possble falure modes are taken nto consderaton durng the verfcaton process. Ths new desgn method thus fts perfectly n today s new generaton of buldng codes utlzng the partal safety factor concept. CE-TS 99-4 n combnaton wth an European Techncal Approval forms the bass for safe and economcal as well as detaled anchor channel desgn. Ths manual refers to Statc tensle loads as well as lateral shear loads n both cracked and un-cracked concrete from C/5 through C9/5 Load values n the event of fre for cracked concrete grade C/5 The specfcaton of anchor channels n accordance wth CE demands use of flexble, up-to-date software that allows engneers work effcently. PROFIS Anchor Channel, the new PC applcaton from Hlt, meets these requrements admrably. 4 July

5 Anchor Channel Desgn 5. Instructon for use 5.. HAC 4 July

6 Anchor Channel Desgn 5.. HBC July 4

7 Anchor Channel Desgn 5.3 HAC Hlt Anchor Channel HAC / HAC 3 HAC 4 / 5 / 6 / 7 h ch h ef h nom h ch b ch b ch ald for all profle types: > cmn > c mn < s max > s mn < s max > s mn < s max > s mn Dmensons Anchor channel b ch h ch s mn Anchor spacng s max End spacng mn channel length h ef c mn [mm] HAC HAC HAC HAC HAC HAC HAC July

8 Anchor Channel Desgn 5.4 HBC specal screws Dmensons of specal screws Anchor channel Specal screw type Dmensons Ø Length t fx [mm] HAC- HAC- HBC-A HAC-3 HBC-B HAC-4 HAC-5 HAC-6 HAC-7 HBC-C HAC-4 HAC-5 HAC-4 HAC-5 HAC-6 HAC-7 HBC-C-E HBC-C July 43

9 Anchor Channel Desgn 5.5 Materal propertes Part Materal Channel profle Carbon steel: E 49-; E 5 hot-dp galv. > 55 µm ) (HAC- and HAC-) Carbon steel: E 5- hot-dp galv. > 55 µm ) (HAC-3 to HAC-5) Carbon steel: E 5- hot-dp galv. > 7 µm ) (HAC-6 and HAC-7) Rvet Carbon steel: hot-dp galv. > 45 µm 3) Anchor Carbon steel: hot-dp galv. > 45 µm 3) HILTI specal screw shaft and thread accordng to E ISO 48 Washer E ISO 789 and E ISO 793- producton class A, H Hexagonal nuts DI 934 5) E ISO 43 Carbon steel: steel grade 4.6 / 8.8 n dependence on electroplated > 8 µm ) Carbon steel: steel grade 4.6 / 8.8 n dependence on E ISO 898-4) hot-dp galv. > 45 µm 3 ) Stanless steel: steel grade 5.44/.444/.457/.436/.4578/.4439 E ISO 356- / E88- Carbon steel: E 5- electroplated > 5 µm ) Carbon steel: E 5- hot-dp galv. > 45 µm 3) Stanless steel:.44/.444/.457/.436/.4578/.4439 E 88 Carbon steel: class 5 / 8; E 898- electroplated > 8 µm ) Carbon steel: class 5 / 8; E 898- hot-dp galv. > 45 µm 3) Stanless steel: class 7.44/.444/.457/.436/.4578/.4439 E ISO 356- / E 88- ) Electroplated accordng to E ISO 44, A3K ) Hot-dp galv. accordng to E ISO 46:9- (Mean coatng thckness (mnmum)) 3) Hot-dp galv. accordng to ISO 46:999 (Mean coatng thckness (mnmum)) 4) Propertes accordng to E ISO 898- only n threaded part of screw 5) DI 934 only for specal screw grade 4.6 and stanless steel 44 July

10 Anchor Channel Desgn 5.6 Settng torque T nst for HAC- through HAC-3 Specal screw type Ø Mn. spacng screw s mn general Settng torque T nst Steel steel contact General [mm] 4.6; 8.8; A ; A4-5 [m] HAC HBC-A HAC HAC-3 HBC-B Steel Steel July 45

11 Anchor Channel Desgn 5.7 Tghtenng torque T nst for HAC-4 through HAC-7 General Anchor channel Specal screw type Ø Mn. spacng screw s mn [mm] general 4.6; 8.8; A4-5 Tghtenng torque T nst Steel steel contact 4.6; A4-5 [m] HAC HAC Steel Steel HBC-C HBC-C-E HBC-C HAC HAC July

12 Anchor Channel Desgn 5.8 Characterstc resstance for steel falure of the channel Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Tensle, anchor, Rk,s,a [k] Ms.8 Tensle, connecton channel anchor Rk,s,c [k] Ms,ca.8 Tensle, local flexure of channel lp Rk,s,l [k] Ms,l.8 Flexure, resstance of channel M Rk,s,flex [m] Ms,flex.5 Shear, local flexure of channel lp Rk,s,l [k] Ms,l.8 July 47

13 Anchor Channel Desgn 5.9 Characterstc resstance for steel falure of specal screw type HBC-A, HBC-B, HBC-C, HBC-C-E, HBC-C- Tensle, Rk,s [k] Ms Shear Rk,s [k] Ms Flexure M Rk,s [m] Ms Data accordng ETA-/6, ssued --8 Specal screw Ø M8 M M M6 M HBC-A A HBC-B A HBC-C HBC-C-E HBC-C- A A HBC-A A HBC-B HBC-C HBC-C-E HBC-C- HBC-A HBC-B HBC-C HBC-C-E HBC-C- A A A A A A A July

14 Anchor Channel Desgn 5. Desgn tensle pull-out falure Rd, p Rk,p Mp ψ ψ c ucr, Amplfcaton factor for concrete strength [-] Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance, Rk,p for C/5 [k] C/5.6 C6/.8 C/5. C5/3. Factor for uncracked concrete [-] C3/37 Ψ c.48 C35/45.8 C4/5.99 C45/55. C5/6.4 Ψ ucr,.4 Mp Mc ).5 ) In absence of other natonal regulatons July 49

15 Anchor Channel Desgn 5. Desgn tensle concrete cone falure Rd, c Amplfcat on factor for concrete strength [-] Rk,c Mc α s, α e, α c, ψ ψ c re, ψ ucr, Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance, Rk,c for C/5 [k] C/5.77 C6/.89 C/5. C5/3. Effect of neghborng anchors [-] ) Characterstc spacng of anchor [mm] C3/37 Ψ c. C35/45.34 C4/5.4 C45/55.48 C5/6 (f ck,cube / 5 /mm ) / α s, αs,.5 n s + scr, s cr, Effect of edges of the concrete member [-] ) α c e, α e,. c cr, Characterstc edge c dstance of anchor [mm] cr, Effect of corner of the concrete member [-] ) α c c αc,. c cr, Factor for shell spallng [-] Ψ re, +h ef /. Factor for un-cracked concrete [-] Ψ ucr,.4 Mp Mc ).5 ) ) alues dependng on nfluencng loads, anchor channel length, concrete geometry, etc. o precalculated values gven. In absence of other natonal regulatons 5. Desgn tensle splttng falure: erfcaton of splttng due to nstallaton not relevant f mn. values for h, s, c are fulflled Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 h mn [mm] s mn [mm] c mn [mm] July

16 Anchor Channel Desgn 5.3 Desgn shear pry out falure Rd,cp k 5 Rk,c Mc Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Factor for shear resstance ) k 5. Mp Mc ) ) ) Wthout supplementary renforcement. In case of supplementary renforcement the factor k 5 should be multpled by.75 In absence of other natonal regulatons.5 July 5

17 Anchor Channel Desgn 5.4 Desgn shear concrete edge falure Amplfcato n factor for concrete strength [-] Rk,c Rd, c αs, αc, α h, α9, Mc ψ re, ψ c Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance,.5 Rk,c/ c for C/5 [k] C/5.77 C6/.89 C/5. C5/3. C3/37. Effect for neghborng anchors [-] Characterstc spacng of anchor [mm] Effect of corner of the concrete member [-] Characterstc edge dstance of anchor [mm] Effect of thckness of structural component [- ] Characterstc heght [mm] Effect of load parallel to the edges [-] Effect of renforcement [-] Ψ c C35/45.34 C4/5.4 C45/55.48 C5/6 (f ck,cube / 5 /mm ) / α s, α s,.5 n s + scr, s cr, 4c c +55 4c c c c c +9.8 c α c, αc,. c cr, c cr, c +6. c h α h, αh,. h cr, c +4.3 c +4.9 c +4.9 c c h cr, c +6.7 c +8. c +5.6 c +8. c +3. c c +4. α 9,.5 ) Ψ re,. anchor channel n cracked concrete wthout edge renforcement or strrups. anchor channel n cracked concrete wth straght edge renforcement ( ø mm).4 anchor channel n cracked concrete wth edge renforcement and strrups wth a spacng a mm and a c or uncracked concrete Mp Mc ).5 ) ) In absence of natonal regulatons In all other cases α 9,. 5 July

18 Anchor Channel Desgn 5.5 Characterstc fre resstance for steel falure of channel n cracked concrete C/5 Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Tensle, anchor, connecton channel anchor, local flexure of channel lp, Rk,s,f ) [k] R R R Ms,f ). Shear, local flexure of channel lp Rk,s,l,f [k] R R R ) Ms,f. ) Max. resstance n conjuncton of bggest Hlt specal screw HBC ) In absence of other natonal regulatons the safety factor Ms,f. under fre exposure s recommended 5.6 Characterstc fre resstance for steel falure of specal screw type HBC-A, HBC-B, HBC-C Tensle, Rk,s,s,f [k] Data accordng ETA-/6, ssued --8 Specal screw Ø M8 M M M6 M HBC-A HBC-B HBC-C R R R R R R R R R Ms,f ). Shear Rk,s [k] HBC-A HBC-B HBC-C R R6 R R R6 R R R R ) Ms,f. ) In absence of other natonal regulatons the safety factor Ms,f. under fre exposure s recommended July 53

19 Anchor Channel Desgn 5.7 Desgn tensle pull-out falure under fre n cracked concrete C/5 Rd, p,f. 5 Rk,p ψ ( R9) acc. to CE/TS 99-4-, Annex D c Mc,f Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance, Rk,p for C/5, normal temperature [k] Mc,f ). Desgn resstance, Rd,p,f for C/5 cracked concrete [k] ) In absence of other natonal regulatons the safety factor Mc,f. under fre exposure s recommended 54 July

20 Anchor Channel Desgn 5.8 Desgn tensle concrete cone falure under fre n cracked concrete C/5 Rk, c, f Rd, c,f h ef ( R9) acc. to CE/TS 99-4-, Annex D Rk, c Rk,c,f Mc, f α s,,f α e,,f α c,,f ψ re, Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance, Rk,c for C/5, normal temperature [k] Effect of neghborng anchors [-] ) α s,,f α s,, f.5 n s + scr,,f Anchor spacng [mm] Effect of edges of the concrete member [-] s cr,,f 4h ef s mn,f c α e,,f α. e,,f c cr,,f Characterstc edge dstance of anchor [mm] Effect of corner of the concrete member [-] c cr,,f h ef c mn,f h ef ) max (h ef ; 3mm) ) c α c,,f α. c,,f c Factor for shell spallng [-] Ψ re, +h ef /. Mc,f 3). Axal spacng R u R [mm] R ) Fre exposure from one sde only ) Fre exposure from more than one sde 3) In absence of other natonal regulatons the safety factor Mc,f. under fre exposure s recommended cr,,f Fre Exposure from one sde only Fre Exposure from more than one sde u h ef u c,f c,f u u July 55

21 Anchor Channel Desgn 5.9 Desgn shear pry out falure under fre n cracked concrete C/5 Rd,cp,f k 5 Rk,c,f Mc,f Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Factor for shear resstance ) k 5. Mc,f ). ) ) Wthout supplementary renforcement. In case of supplementary renforcement the factor k 5 should be multpled by.75 In absence of other natonal regulatons the safety factor Mc,f. under fre exposure s recommended 56 July

22 Anchor Channel Desgn 5. Desgn shear concrete edge falure under fre n cracked concrete C/5 ( R9) acc. to CE/TS 99-4-, Annex D Rk, c,f Rk,c Rk,c,f α α α α Rd, c s,,f c,,f h,,f 9,,f Mc,f ψ re, Data accordng ETA-/6, ssued --8 Anchor channel HAC- HAC- HAC-3 HAC-4 HAC-5 HAC-6 HAC-7 Characterstc resstance,.5 Rk,c/ c for C/5 under normal temperature[k] Effect for neghborng anchors [-] Characterstc spacng of anchor [mm] Effect of corner of the concrete member [-] Characterstc edge dstance of anchor [mm] Effect of thckness of structural component [- ] Characterstc heght [mm] Effect of load parallel to the edges [-] Effect of renforcement [-] α s,,f α s,,f.5 n s + scr,, f s cr,,f 4c c +55 4c c c c c +9.8 c α c,,f α. c,,f c cr,,f c cr,,f c +6. c h α h,,f α. h,,f h c +4.3 c +4.9 c +4.9 c c h cr,,f c +6.7 c +8. c +5.6 c +8. c +3. c c +4. cr,,f α 9,,f.5 ) Ψ re,. anchor channel n cracked concrete wthout edge renforcement or strrups. anchor channel n cracked concrete wth straght edge renforcement ( ø mm).4 anchor channel n cracked concrete wth edge renforcement and strrups wth a spacng a mm and a c or uncracked concrete Mc,f ). ) ) In absence of other natonal regulatons the safety factor Mc,f. under fre exposure s recommended In all other cases α 9,,f. July 57

23 6 Desgn examples 6. Example : Anchor channel subjected to statc load (-legged anchor channel) 6.. Anchorng condtons System, basc values Anchor channel HAC-4F, mm ( anchors) Hlt specal screw HBC-C- 8.8F M6 x 5 Concrete Cracked concrete, C3/37 Stand-off no Characterstc tensle dead load.5 k Characterstc shear lve load.9 k Member thckness h 5 mm Renforcement condtons (tenson) ø mm wth a spacng of s 5mm Renforcement condtons (shear) Wth edge renforcement ds mm Renforcement condtons (splttng) Renforcement for w.3mm present Effectve embedment depth of anchor h ef 9 mm Wdth of channel b ch 4.9 mm Heght of channel h ch 8. mm Moment of nerta channel I y 45 mm 4 Anchor spacng mm s 5 mm 58 July

24 Steel falure TESIO, characterstc values and safety factors Steel falure, anchor Rk,s,a 33. k Steel falure, connecton channel anchor Rk,s,c 5. k Steel falure, local flexure of channel lps for s s s slb Rk,s,l 5. k Characterstc flexure resstance of channel M Rk,s,flex.3 km Steel falure Hlt-specal screw Rk,s,s 5.6 k Partal safety factor, Hlt-specal screw Ms,s.5 Partal safety factor, anchor Ms.8 Partal safety factor, connecton channel anchor Ms,ca.8 Partal safety factor, local flexure of channel lps Ms.8 Partal safety factor, flexure resstance of channel Ms,flex.5 Steel falure SHEAR, characterstc values and safety factors Steel falure, local flexure of channel lp Rk,s,l 35. k Steel falure, local flexure of channel lp, shear parallel Rk,s,l,II 4.5 k Steel falure Hlt specal screw Rk,s 6.7 k Partal safety factor local flexure of channel lp Ms,l.8 Partal safety factor local flexure of channel lp Ms,l,II.8 Partal safety factor Hlt specal screw (shear) Ms,s.5 Concrete falure TESIO, characterstc values and safety factors Pull-out falure resstance n cracked concrete C/5 Rk,p, C/5.3 k Effectve anchorage depth h ef 9 mm Characterstc edge dstance c cr, 95 mm Characterstc spacng s cr, 39 mm Amplfcaton factor of Rk,p for C3/37 ψ c.47 Factor for anchor channel nfluencng concrete cone α ch.93 Partal safety factor concrete Mc.5 Partal safety factor for pull-out Mc,p.5 Concrete falure SHEAR, characterstc values and safety factors Factor k n equaton (3) of CE/TS k 5. Product of factor αp and ψ re, α p ψ re, 4.8 Effect of thckness of structural component (h/h cr, ) / α h,.757 Characterstc heght (c + h ch ) h cr, 436 mm Characterstc edge dstance c + b ch c cr, 4 mm Characterstc spacng 4c + b ch s cr, 84 mm Partal safety factor concrete Mc.5 July 59

25 General remarks Accordng to CE the followng verfcatons have to be done: The verfcatons are calculated wth the drectly actng load and wth the dstrbuted anchor load, respectvely. For ths reason, the dstrbuted loads actng on the anchor have to be calculated frst. Please note that these loads heavly depend on the load poston of the actng external load. In other words, the verfcaton s only vald for the gven load poston of the screw. 6.. Determnaton of actng forces Drect forces actng on screw Desgn tensle load Ed k Desgn shear load Influence length Ed F z, G.5 (.9) 4.35k Ed F y, Q Ed.5.5 l 3 I s s l mm s y Forces actng on anchors Load dstrbuton scheme based on nfluence length l 3 A A Calculate A on bass of theorem of ntersectng lnes Weghtng factor k n A A A k July

26 Tensle force anchor Tensle force anchor Shear force anchor Shear force anchor a Ed, a Ed, a Ed, a Ed, k A a Ed, k.9 k Ed k A a Ed, k.8 k Ed k A a Ed, k.69 k Ed k A a Ed, k.65 k Ed 6..3 Tensle loadng Desgn steel resstance anchor R,k,s,a 33.k Rd,s,a 8.3k Rd, s, a.8 Ms Desgn steel resstance connecton anchor - channel R,k,s,c 5.k Rd,s,c 3.9k Rd, s, c.8 Ms,ca Desgn steel resstance local flexure of channel lp R,k,s,l 5.k Rd,s,l 3.9k Rd, s, l.8 Ms,l Desgn steel resstance specal screw R,k,s,s 5.6k Rd,s,s 83.7k Rd,s,s.5 Ms,s Desgn steel resstance flexure of channel Determnaton of actng moment based on sngle supported beam M Desgn concrete pull-out resstance Cracked concrete Rk,p Rd, p ψ pull-out resstance A 3 5 A B A 3.375k.7k 5 M Ed.7k.3m.8km 3m Rk,s,flex M Rd,s,flex M.88km Rd,s, flex Ms,flex.5.3 c ψucr Rd, p k Mc,p.5 Desgn concrete cone resstance Basc resstance 8.5 α Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor.5.5 Rk, c ch fck,cube hef k Rk, c α s,.5 αs,.77 n.5 s scr, 39.9 αs, July 6

27 c Effect of edges α 9 e,. c α e,.987 cr, 95 c Effect of corner α c,. c αc, >. cr, 95 5 Effect of corner αc,.7 >. 95 Ψ Effect of shell h. ef ψ. spallng re, + Effect of concrete condtons Characterstc resstance Desgn resstance Rk, c Anchor : Anchor : Anchor : Anchor : α α α ψ re, may be taken f local to ths anchor channel renforcement (any dameter) s provded at a spacng 5 mm Ψ ucr, ψ. Rk,c s, e, c, re, ucr, Rk, c Rk, c Rk,c Rd, c Mc Rk,c Rd, c Mc.6k 4.9k 3.9k.4k Desgn concrete splttng resstance erfcaton not necessary snce the characterstc resstance for concrete cone falure, concrete blow-out falure and pull-out falure s calculated for cracked concrete and renforcement ressts the splttng forces and lmts the crack wdth to w k.3 mm. Desgn concrete blow-out resstance erfcaton not necessary snce c h c 9mm > 9mm 45.5mm ef 6 July

28 6..4 SHEAR loadng Desgn steel resstance specal screw wthout lever arm Rk,s 6.7k Rd,s 5.k Rd, s.5 Ms Desgn steel resstance local flexure channel lp Rk,s,l 35k Rd,s,l 9.4k Rd, s, l.8 Ms,l Desgn concrete pry-out resstance k 5 Rk,c 3.9k Anchor Rd,cp Rd, cp 4.k.5 Anchor Mc k 5 Rk,c.4k Rd,cp Rd, cp 9.9k Mc.5 Desgn concrete edge resstance Basc resstance ncludng.5.5 renforcement Rk, c αp ψre, fck,cube c Rk, c k condton α s,.5 α Effect of neghborng n anchors, anchor.5 s scr, Effect of neghborng anchors, anchor α s, s,.5 c Effect of corner α c,. c α c, >. cr, 4 5 Effect of corner αc,.73 4 Effect of thckness of h structural α 5 h,. component h αh,.757 cr, 436 Effect of load α. parallel to edge 9, Rk, c Rk,c α s, αc, αh, α 9, Characterstc Anchor : Rk, c k resstance Anchor : k Desgn resstance Anchor : Anchor : Rk, c Rk,c Rd, c Mc Rk,c Rd, c Mc 6.5k.7k July 63

29 6..5 Combned tenson and shear loadng TESIO: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Decsve mode Steel falure local flexure channel lp β3.38/3.9 4% Flexure of channel β.8/.88 9% Specal screw β3.38/83.7 4% TESIO: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Steel falure of anchor Steel falure connecton channel anchor Pull-out Concrete cone falure Splttng falure Blow out a Ed, Rd Utlzaton factor Anchor β.9/8.3 % β.8/8.3 7% β.9/3.9 5% β.8/3.9 % β.9/6.96 % β.8/6.96 8% β.9/.6 % β.8/4.9 9% /A /A SHEAR: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Steel falure specal screw β4.35/5. 9% Decsve mode Steel falure local channel lp β4.35/9.4 3% SHEAR: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Pry-out concrete edge a Ed, Rd Utlzaton factor Anchor β.69/4. 7% β.65/9.9 6% β.69/6.5 % β.65/.7 3% 64 July

30 6..6 Load combnaton drect loads (screw) Tenson: Steel falure local flexure channel lp 4% Shear: Steel falure local channel lp 3% Interacton steel β + β Load combnaton anchor loads Anchor : Tenson: Connecton anchor-channel 5% Shear: Concrete falure concrete edge % Interacton concrete.5 β.5 β. Anchor : Tenson: Connecton anchor-channel % Shear: Concrete falure concrete edge 3% Interacton concrete.5 β.5 β July 65

31 6. Example : Anchor channel subjected to statc load (3-legged anchor channel) 6.. Anchorng condtons System, basc values Anchor channel HAC-4F, 35 mm (3 anchors) Hlt specal screw HBC-C 4.6F M6 x 5 Concrete Cracked concrete, C/5 Stand-off no Desgn tensle load 7.5 k Desgn shear load. k Member thckness h 5 mm Renforcement condtons (tenson) ø mm wth a spacng of s 5mm Renforcement condtons (shear) Wth edge renforcement ds mm Renforcement condtons (splttng) Renforcement for w.3mm present Effectve embedment depth of anchor h ef 9 mm Wdth of channel b ch 4.9 mm Heght of channel h ch 8. mm Moment of nerta channel I y 45 mm 4 Anchor spacng mm s 5 mm 66 July

32 Steel falure TESIO, characterstc values and safety factors Steel falure, anchor Rk,s,a 33. k Steel falure, connecton channel anchor Rk,s,c 5. k Steel falure, local flexure of channel lps for s s s slb Rk,s,l 5. k Characterstc flexure resstance of channel M Rk,s,flex.3 km Steel falure Hlt-specal screw Rk,s,s 6.8 k Partal safety factor, Hlt-specal screw Ms,s. Partal safety factor, anchor Ms.8 Partal safety factor, connecton channel anchor Ms,ca.8 Partal safety factor, local flexure of channel lps Ms.8 Partal safety factor, flexure resstance of channel Ms,flex.5 Steel falure SHEAR, characterstc values and safety factors Steel falure, local flexure of channel lp Rk,s,l 35. k Steel falure Hlt specal screw Rk,s 37.6 k Partal safety factor local flexure of channel lp Ms,l.8 Partal safety factor Hlt specal screw (shear) Ms,s.5 Concrete falure TESIO, characterstc values and safety factors Pull-out falure resstance n cracked concrete C/5 Rk,p, C/5.3 k Effectve anchorage depth h ef 9 mm Characterstc edge dstance c cr, 95 mm Characterstc spacng s cr, 39 mm Amplfcaton factor of Rk,p for C/5 ψ c.67 Factor for anchor channel nfluencng concrete cone α ch.93 Partal safety factor concrete Mc.5 Partal safety factor for pull-out Mc,p.5 Concrete falure SHEAR, characterstc values and safety factors Factor k n equaton (3) of CE/TS k 5. Product of factor αp and ψ re, α p ψ re, 4.8 Effect of thckness of structural component (h/h cr, ) / α h,.765 Characterstc heght (c + h ch ) h cr, 56 mm Characterstc edge dstance c + b ch c cr, 4 mm Characterstc spacng 4c + b ch s cr, 48 mm Partal safety factor concrete Mc.5 July 67

33 General remarks Accordng to CE the followng verfcatons have to be done: The verfcatons are calculated wth the drectly actng load and wth the dstrbuted anchor load, respectvely. For ths reason, the dstrbuted loads actng on the anchor have to be calculated frst. Please note that these loads heavly depend on the load poston of the actng external load. In other words, the verfcaton s only vald for the gven load poston of the screw. 6.. Determnaton of actng forces Drect forces actng on screw Desgn tensle load Desgn shear load Influence length Ed Ed Ed, 3.75k, Ed, 3.75k Ed, 5.k; Ed, 5.k.5.5 l 3 I s s l mm s y Forces actng on anchors Load dstrbuton scheme based on nfluence length l Calculate A on bass of theorem of ntersectng lnes 68 A, A, A, A, July

34 Weghtng factor Tensle force anchor Tensle force anchor Tensle force anchor 3 Shear force anchor Shear force anchor Shear force anchor 3 A 3, k k n A k.6 + a Ed, k a Ed, + k + + a Ed,3 k a Ed, k a Ed, + k + a Ed,3 k A A k, k A A A, k k 3, k A,, k 3, A A, A Ed,, Ed, A A 3, Ed,, A Ed,, Ed, 3, Ed, Ed, Ed, Ed, Ed, Ed, Ed, A 3, a Ed,.9 k a Ed, 3.64 k a Ed,3.9 k a k Ed, a k Ed, a k Ed, Tensle loadng Desgn steel resstance anchor R,k,s,a 33.k Rd,s,a 8.3k Rd, s, a.8 Ms Desgn steel resstance connecton anchor - channel R,k,s,c 5.k Rd,s,c 3.9k Rd, s, c.8 Ms,ca Desgn steel resstance local flexure of channel lp R,k,s,l 5.k Rd,s,l 3.9k Rd, s, l.8 Ms,l Desgn steel resstance specal screw R,k,s,s 6.8k Rd,s,s 3 k Rd,s,s. 4. Ms,s Desgn steel resstance flexure of channel Determnaton of actng moment based on sngle supported beam A 5 5 A B A 3.75k.5k 5 M Ed.5k.5m km July 69

35 M 3m Rk,s,flex M Rd,s,flex M.88km Rd,s, flex Ms,flex.5 Desgn concrete pull-out resstance Cracked concrete Rk,p Rd, p ψ pull-out resstance.3 c ψucr Rd, p k Mc,p.5 Desgn concrete cone resstance Basc resstance 8.5 α Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor Rk, c ch fck,cube hef k Rk, c.5 n s + scr, αs, α.47 s, c Effect of edges α e,. c cr, c Effect of corner α c,. c cr, α.76 e, 95 α >. c, Effect of corner α.3>. c, Effect of corner 3 α. 947 c, 95 Effect of shell h Ψ. ef ψre, +. spallng Effect of concrete condtons Characterstc resstance Desgn resstance Rk, c α α α ψ α.663 s, α.47 s, re, may be taken f local to ths anchor channel renforcement (any dameter) s provded at a spacng 5 mm Ψ ucr, ψ. Rk,c s, e, c, re, ucr, Rk, c k k k Anchor : Anchor : Rk,c Anchor 3: Rk,c Anchor : Anchor : Anchor 3: Desgn concrete splttng resstance Rk,c Rd, c 6. 63k Mc Rk,c Rd, c. 54k Mc Rk,c Rd,c 6. 8 Mc k July

36 erfcaton not necessary snce the characterstc resstance for concrete cone falure, concrete blow-out falure and pull-out falure s calculated for cracked concrete and renforcement ressts the splttng forces and lmts the crack wdth to w k.3 mm. Desgn concrete blow-out resstance erfcaton not necessary snce c h c mm> 9mm 45.5mm ef 6..4 SHEAR loadng Desgn steel resstance specal screw wthout lever arm Rk,s 37.68k Rd,s k Rd,s. 6 Ms.67 Desgn steel resstance local flexure channel lp Rk,s,l 35k Rd,s,l 9.4k Rd, s, l.8 Ms,l Desgn concrete pry-out resstance k 5 Anchor Rd,cp Anchor Anchor 3 Desgn concrete edge resstance Basc resstance ncludng Rk, c αp ψre, renforcement condton Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor 3 Effect of corner α α s, Rk,c 9.95k 3. 7k Rd, cp.5 Mc k 5 Rk,c 5.8k Rd,cp. 8k Rd, cp Mc.5 3 k 3 5 Rk,c k Rd,cp 3. 56k Rd, cp Mc fck,cube c k Rk, c.5 n s + scr, c,. α >. c, cr, 4 c c α.377 s, α.63 s, α.377 s, July 7

37 Effect of corner Effect of corner Effect of corner Effect of thckness of structural component Effect of load parallel to edge Characterstc resstance Desgn resstance Anchor 475 α >. c,. 4 4 Anchor 35 α >. c,. 6 4 Anchor α.85 c, 4 α 5 h,. α.765 h, cr, 56 h h Anchor : Anchor : Anchor 3: α 9,. Rk, c Rk,c α s, αc, αh, α 9, k Rk, c Anchor : Anchor : Anchor 3: k Rk, c Rk, c Rk,c 4. 6k Rd,c Mc Rk,c Rd, c 7. 63k Mc Rk,c Rd, c 3. 93k Mc k 6..5 Combned tenson and shear loadng TESIO: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Decsve mode Steel falure local flexure channel lp β3.75/3.9 7% Flexure of channel β/.88 4% Specal screw ( and ) β3.75/3.4 % TESIO: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Steel falure of anchor Steel falure connecton channel anchor a Ed, Rd Utlzaton factor Anchor β.9/8.3 % β 3.64/8.3 % β 3.9/8.3 % 3 β.9/3.9 4% β 3.64/3.9 6% β 3.9/3.9 4% 3 Pull-out β.9/.5 7% 7 July

38 Concrete cone falure Splttng falure Blow out β 3.64/.5 3% β 3.9/.5 7% 3 β.9/6.63 9% β 3.64/4 35% β 3.9/6.8 3% 3 /A /A SHEAR: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Steel falure specal screw β5./.6 % Decsve mode Steel falure local channel lp β5./9.4 6% SHEAR: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Pry-out concrete edge 6..6 Load combnaton drect loads (screw) Tenson: Steel falure local flexure channel lp 7% Shear: Steel falure local channel lp 6% Interacton steel β β. a Ed, Rd Utlzaton factor Anchor β.57/3.3 9% β 4.86/. 3% β 3.57/.6 % 3 β.57/4.6 56% β 4.86/7.6 64% β 3.57/3.9 66% Load combnaton anchor loads Anchor : Tenson: Concrete Cone 9% Shear: Concrete falure concrete edge 56% Interacton concrete.5 β.5 β. Anchor : Tenson: Concrete Cone 35% Shear: Concrete falure concrete edge 64% Interacton concrete.5 β.5 β Anchor 3: Tenson: Concrete Cone 3% Shear: Concrete falure concrete edge 66% Interacton concrete.5 β.5 β July 73

39 6.3 Example 3: Anchor channel subjected to a fre load (-legged anchor channel) 6.3. Anchorng condtons System, basc values Anchor channel HAC-4F, mm ( anchors) Hlt specal screw HBC-C 8.8F M6 x 5 Concrete Cracked concrete, C/5 Stand-off no Desgn tensle load. k Desgn shear load.5 k Fre exposure F3, from one sde Member thckness h 5 mm Renforcement condtons (tenson) ø mm wth a spacng of s 5mm Renforcement condtons (shear) Wth edge renforcement d s mm Renforcement condtons (splttng) Renforcement for w.3mm present Effectve embedment depth of anchor h ef 9 mm Wdth of channel b ch 4.9 mm Heght of channel h ch 8. mm Moment of nerta channel I y 45 mm 4 Anchor spacng s 5 mm 74 July

40 Steel falure TESIO, characterstc values and safety factors, fre Steel falure, anchor Rk,s,a,f,R3.8 k Steel falure, connecton channel anchor Rk,s,c,f, R3.8 k Steel falure, local flexure of channel lps for s s s slb Rk,s,l,f,R3.8 k Characterstc flexure resstance of channel M Rk,s,flex,f,R3.84 km Steel falure Hlt-specal screw Rk,s,s,f,R3 5.7 k Partal safety factor, Hlt-specal screw Ms,f. Partal safety factor, anchor Ms,f. Partal safety factor, connecton channel anchor Ms,f. Partal safety factor, local flexure of channel lps Ms,f. Partal safety factor, flexure resstance of channel Ms,flex,f. Steel falure SHEAR, characterstc values and safety factors, fre Steel falure, local flexure of channel lp Rk,s,l,f,R3.8 k Steel falure Hlt specal screw Rk,s,f 5.7 k Partal safety factor local flexure of channel lp Ms,l,f. Partal safety factor Hlt specal screw (shear) Ms,s,f. Concrete falure TESIO, characterstc values and safety factors Pull-out falure resstance n cracked concrete C/5 Rk,p, C/5.3 k Effectve anchorage depth h ef 9 mm Characterstc edge dstance c cr,,f 6 mm Characterstc spacng s cr,,f 5 mm Amplfcaton factor of Rk,p for C3/37 ψ c.47 Factor for anchor channel nfluencng concrete cone α ch.93 Partal safety factor concrete Mc,f. Partal safety factor for pull-out Mc,p,f. Concrete falure SHEAR, characterstc values and safety factors Factor k n equaton (3) of CE/TS k 5. Product of factor αp and ψ re, α p ψ re, 4.8 Effect of thckness of structural component (h/h cr,,f ) / α h,,f.757 Characterstc heght (c + h ch ) h cr,,f 436 mm Characterstc edge dstance c + b ch c cr,,f 4 mm Characterstc spacng 4c + b ch s cr,,f 84 mm Partal safety factor concrete Mc,f. July 75

41 General remarks Accordng to CE TS :9; ETA-/6 and TR followng verfcatons need to be done: The verfcatons for fre loadng are calculated wth the drect actng load and wth the dstrbuted anchor load, respectvely, same procedure as shown n example for tensle and shear loadng. For ths reason, the dstrbuted loads actng on the anchor have to be calculated frst. Please note that these loads heavly depend on the load poston of the actng external load. In other words, the verfcaton s only vald for the gven load poston of the screw. A reducton of the fre resstance class of the concrete member due to the anchor channel s not evaluated n the approval. 76 July

42 6.3. Determnaton of actng forces Drect forces actng on screw Desgn tensle load Ed F z, G Ed. k Desgn shear load Ed F y, Q Ed.5 k.5 Influence length l 3 I s s.5 l mm s y Forces actng on anchors Load dstrbuton scheme based on nfluence length l 3 A A Calculate A on bass of theorem of ntersectng lnes Weghtng factor Tensle force anchor Tensle force anchor Shear force anchor Shear force anchor k n a Ed, a Ed, a Ed, a Ed, A k A k A k A k A Ed Ed Ed Ed A A k a Ed, k.39 k a Ed,.7 4.k.759 k a Ed, k.99 k a Ed,.7 4.5k 69 k Tensle loadng Desgn steel resstance anchor,,,,,,,,,,,.8k..8k Desgn steel resstance connecton anchor - channel,,,,,,,, Desgn steel resstance local flexure of channel lp,,,,,,,,,,,.8k..8k,,,.8k..8k Desgn steel resstance specal screw,,,,,,,,,,, 5.7k. 5.7k July 77

43 Desgn steel resstance flexure of channel Determnaton of actng moment based on sngle supported beam Desgn concrete pull-out resstance fre Cracked concrete pull-out resstance A 3 5 A B M,,, M,,,,, ψ ψ,, A.k.6k 5 M Rd,s,flex,f 84 m.84 km., k Pull-out resstance fre,,,,,,, k Desgn concrete cone resstance fre Basc resstance, 8.5 α f h, Basc Fre resstance Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor α,,,, h, + s Effect of edges α,, c c,, Effect of corner α,, c Effect of corner Effect of shell spallng Effect of concrete condtons Characterstc Fre resstance Desgn resstance Rk, c,f Anchor : Anchor : c,, α s,,.. Anchor :,,,,,.. α.., k,, k α,, α,, α,,..855 È,, È,, >... > Ψ re,. may be taken f local to ths anchor channel renforcement (any dameter) s provded at a spacng 5 mm. Ψ ucr, Rk,c,f s,,f e,,f c,,f re, ucr, Rk, c, f Rk, c k Anchor :,,,,, α 5.99k ψ ψ 9.47k 5.99k Desgn concrete splttng resstance erfcaton not necessary snce the characterstc resstance for concrete cone falure, concrete blow-out falure and pull-out falure s calculated for cracked concrete and renforcement ressts the splttng forces and lmts the crack wdth to w k.3 mm. Desgn concrete blow-out resstance 78 July

44 erfcaton not necessary snce c h c 9mm > 9mm 45.5mm ef SHEAR loadng Desgn steel resstance specal screw wthout lever arm,,,,, Desgn steel resstance local flexure channel lp,,,,,,, Desgn concrete pry-out resstance Anchor Anchor,,,, k,,, k,,,,,,,,, 5.7k. 5.7k,,,.8k..8k 9.47k 8.94k. 5.99k.98k. Desgn concrete edge resstance Basc resstance ncludng renforcement condton Basc resstance ncludng renforcement condton, fre Effect of neghborng anchors, anchor Effect of neghborng anchors, anchor, α ψ, f, c., k α,,,,,,, 6.86k 5.7k + s Effect of corner α,, c Effect of corner Effect of thckness of structural component Effect of load parallel to edge Characterstc resstance Desgn fre resstance α,, c,, c h,, s,,.... α,, α,, α,, >. α,, α,, α 9, Ù ÙÛ,Ú,ÚÛ Ù ÙÛ,Ú,ÚÛ ß ß ß ß Ü,Ù,ÚÛ Ú,Ù,ÚÛ Û,Ù,ÚÛ,Ù,ÚÛ Anchor : Ù ÙÛ,Ú,ÚÛ......ÛÙ Anchor : Ù ÙÛ,Ú,ÚÛ ÛÙ Anchor :,,,, Anchor :,,,,,, 8.6k July 79

45 6.3.5 Combned tenson and shear loadng TESIO: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Decsve mode Steel falure local flexure channel lp β./.8 7% Flexure of channel β.48/.75 8% Specal screw β./ % TESIO: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Steel falure of anchor Steel falure connecton channel anchor Pull-out Concrete cone falure Splttng falure Blow out a Ed, Rd Utlzaton factor Anchor β.4/.8 45% β.76/.8 7% β.4/.8 45% β.76/.8 7% β.4/4.3 9% β.76/4.3 % β.4/9.47 3% β.76/5.99 3% /A /A SHEAR: Determnaton of utlzaton rates drect load (screw loads) Falure mode Utlzaton factor Ed β Rd Utlzaton factor Steel falure specal screw β.5/5.7 6% Decsve mode Steel falure local channel lp β.5/.8 54% SHEAR: Determnaton of utlzaton rates anchor loads Falure mode Utlzaton factor β Pry-out concrete edge a Ed, Rd Utlzaton factor Anchor β.93/8.9 5% β 7/.98 5% β.93/8.6 % β 7/3.9 5% 8 July

46 6.3.6 Load combnaton drect loads (screw) Tenson: Steel falure local flexure channel lp 7% Shear: Steel falure local channel lp 54% Interacton steel β β Load combnaton anchor loads Anchor : Tenson: Steel falure of anchor 45% Shear: Concrete falure concrete edge % Interacton concrete.5 β.5 β. Anchor : Tenson: Steel falure of anchor 7% Shear: Concrete falure concrete edge 5% Interacton concrete.5 β.5 β July 8