STRUCTURAL ENGINEERS ASSOCIATION OF NORTHERN CALIFORNIA Continuing Education Committee Spring Seminar Series, March 14, 2012 San Francisco, California

Size: px
Start display at page:

Download "STRUCTURAL ENGINEERS ASSOCIATION OF NORTHERN CALIFORNIA Continuing Education Committee Spring Seminar Series, March 14, 2012 San Francisco, California"

Transcription

1 STRUCTURAL ENGNEERS ASSOCATON OF NORTHERN CALFORNA Continuing Eduation Committee Spring Seminar Serie, arh 14, 01 San Franio, California Reviion to Tilt-Up Conete Building Deign: The baktory behind hange enompaed in 009 nternational Building Code John Lawon SE California Polytehni State Univerity, San Lui Obipo (Author Note: Signifiant portion of thi paper were previouly preented at the 010 Tilt-Up Conete Aoiation Annual Convention; Lawon, 010.) Abtrat The 009 nternational Building Code (BC) ha in it ope ome ignifiant reviion that greatly affet the deign of tilt-up onete building, but to the lay engineer it appear that ome of thee proviion are a tep bakward. With the BC referening tandard inluding AC (onete) and the 008 NDS SDPWS (timber), thee doument have ignifiant hange that beome effetive with the adoption of the BC. We a engineer expet building ode to advane the tate of the art with eah ueive edition. The 009 nternational Building Code (BC) and the Building Code Requirement for Strutural Conete (AC 18-08) have ignifiant reviion affeting the deign of tilt-up building, but in ome ae not neearily advaning the tate of the art. For example, the latet AC 18 edition i largely reviing lender wall deign bak to math equation found in the old 1997 UBC. n addition, the latet BC edition i arving out an exeption to an epeially troubleome ode proviion due to an overight in the adoption proe. Other hange in timber deign are motly adminitrative or inorporating errata from the lat ode yle. Thi paper provide the bakground for thee hange and review their impat to tilt-up onete building deign and wall panel deign. n addition, a hitorial ontext i provided where if may provide ome larity. Reviion to the aked moment of inertia ( ) Sine the original inorporation of lender wall proviion into the Uniform Building Code (UBC), the atual teel area were allowed to effetively ineae in the alulation to reflet the impat of vertial ompreion load. Thi effetive teel area refleted the pretreing effet of ompreion load on the etion by onverting the ompreion fore into and effetive teel reinforing area for flexural deign. The following equation illutrate the approah urrently in AC 18-05: u lw = A + ( d ) + E f y Thi equation approah i to take the applied vertial ompreion load in the wall, aumed at the wall enter line, and ineae the teel area artifiially through the term P u /f y. Beaue the teel loation wa aumed to be typially at the wall enter line, thi i a rational approah. The aked moment of inertia i ueful in omputing a lender onete wall ultimate moment inluding eondary effet through the following AC equation. u E = 1 P 5P ua ul ( 0. 75) 48E Unfortunately, thi approah i not rational when the reinforing teel i not aligned with the reultant ompreive fore loation. Thi ituation mot frequently our in wall with two urtain of reinforing teel. Thi error ha now been orreted with a new term added to the aked moment of inertia equation provided in the AC Setion 14.8 ode proviion. Uing a new term h/d in AC equation 14-7, the effetive teel area i made rational again for either ingle or double urtain reinforing ondition. h d E Pu lw = A + ( d ) + E f y 1

2 The impat of thi ode reviion will be that flexural deign of double urtain wall will be lightly more retritive. inimum Reinforing Around Wall Opening A long tanding ode requirement ha been that onete wall opening have a minimum of two #5 reinforing bar around their perimeter. For ingle urtain wall, thi proviion ha been revied to a minimum of one #5 reinforing bar around the opening in AC Setion n addition, the minimum extenion of thee bar pat the edge of the opening ha traditionally been 4-inhe, an arbitrary length. n a more rational approah, thi ode requirement ha been lengthened to the development of F y in the bar. The impat of thi i likely minimal in California or other eimially ative tate where reinforing i typially muh larger than the minimum vertially. Slender Wall Servieability Proviion The mot ignifiant ode hange affeting tilt-up wall deign are the hange to the lender wall deign in AC Setion Thi ode etion ontain the deign proviion for lender wall deign loaded out-of-plane. To protet lender wall from experiening permanent deformation under frequent ervie-level load, a defletion equation and limitation i provided. n order to better appreiate the hange in the AC proviion, a brief hitorial diuion i provided. Thikne (inhe) Table 1 Conete Panel Data h/t Ratio Reinforing Ratio ρ (%) A viible in Figure 1, the load-defletion urve wa eentially bilinear for all panel. The wall behaved elatially until approximately two-third of the traditional modulu of rupture wa reahed (5 f ) and the initial ak formed. A the lateral load wa ineaed, additional flexural aking ourred, and the defletion rapidly ineaed. Figure 1 how the load-defletion harateriti of four of the tet panel. The defletion and load wa ineaed until failure or an extreme defletion wa reahed. Reult of the full-ale tet howed that there wa no lateral intability from the ombined lateral and eentri vertial loading. n late 1979, the Southern California Chapter of the Amerian Conete ntitute in onjuntion with the Strutural Engineer Aoiation of Southern California embarked on a landmark teting program of onete and maonry lender wall. The main goal wa to tet full ale lender onete and maonry wall that exeeded the ode limitation at the time in term of height-to-thikne ratio. Both the onete and maonry wall panel were ubjeted to a ombine eentri vertial load and lateral load to imulate gravity load and wind or earthquake lateral fore. An air bag loading apparatu with intrumentation wa utilized to load twelve tilt-up wall panel ao their four-foot width and 4-foot height. There were four different wall thiknee, and all were reinfored with four #4 vertial reinforing bar. The variou harateriti of the teted panel are in Table 1. Fig. 1 Tet Panel Load Defletion Charateriti After the teting program wa ompleted, the Tak Committee worked on odifying of the data and writing of a report that beame better known a the Green Book [AC- SEAOSC, 198]. The Committee onluded that deign of lender wall panel required not only adequate trength and afety to reit vertial and lateral load but alo a new onept to addre tiffne onern. The ervieability proviion in the urrent ode are a diret outgrowth of thi teting program.

3 A rebound tudy wa onduted during the teting program and it wa determined that L/100 wa an appropriate limit to ervie level defletion. Thi limitation wa later revied to L/150 under the UBC when it wa inorporated in the 1987 upplement to the UBC. The defletion limitation wa the firt time that ervieability wa even onidered and written into the building ode for wall panel [Amrhein, 007]. The UBC new lender wall deign method inorporated the ombined load effet due to eentri axial load and the P- effet. Strength requirement were onidered when eleting the amount of reinforement. Defletion under ervie load wa etablihed to give a reaonable limitation on the tiffne of the wall panel. The UBC lender wall proviion ontinued under thi philoophy with little hange from it introdution in 1987 until the 1997 UBC. n the late 1990 with the puh to develop a uniform national building ode, the UBC lender wall proviion were inorporated into AC Of the other two regional ode, the BOCA and SBC, no other ompeting proviion exited etting the tage for a mooth tranition of the lender wall deign philoophy. However, wherea the equation for determining the deign moment remained eentially the ame, the ervie level defletion equation were ignifiantly altered by AC during thi tranition to AC 18. Thee revied equation remain in AC 18-05, Setion and are given a: 5l Δ = 48E e a = 5P l 1 48E where: e a = aximum applied moment due to ervie load, not inluding PΔ effet; and P = Unfatored axial load at the deign (midheight) etion inluding effet of elf-weight. When omparing the UBC approah with the new AC approah, the mot ignifiant differene wa AC ue of Branon equation for e to aount for the moment of inertia redution due to aking. The previou UBC approah and SEAOSC philoophy ued a bilinear loaddefletion equation to determine the defletion. Another ignifiant hange wa the value for ued in Branon equation wa et at the traditional AC value of 7.5 f intead of SEAOSC reommended 5 f. Within SEAOSC there wa onern that the fundamental equation developed from their full-ale teting program had been ignifiantly altered by AC 18. n addition, the AC 18 ommentary ontinued to referene SEAOSC experimental reearh partially a the bai for thee new equation. n repone, SEAOSC formed a Slender Wall Tak Group in 005 to ondut a omprehenive review of the original 1981 tet data and determine the validity of the urrent UBC and new AC approahe. The SEAOSC Tak Group found that the UBC methodology mathed well with the full-ale tet data olleted in the However, the Tak Group found that the AC methodology wa a poor math for the oberved tiffne of the full-ale tet data. ore peifially, the new AC 18 equation ignifiantly underetimated the onet of aking f r and and ignifiantly underetimated the panel tiffne after aking Δ. Figure dramatially depit the large diparity between the two approahe. = aximum moment due to ervie load, inluding PΔ effet; e = a g + 1 a e = Effetive moment of inertia for omputation of defletion (alo known a Branon Equation); r (. f ) = Sf = S 7 5 ; moment at initial aking g AC UBC Tet S = Setion modulu of the gro onete etion; Fig. AC and UBC Comparion to Tet Data

4 Panel No. (1) () Table Comparion () () AC Thikne oberved UBC (in) (ft-kip) (ft-kip) (ft-kip) (1) Panel number orrepond to full-ale teting program by SEAOSC/SCCAC. All panel are 4-feet tall, 4-feet wide and reinfored with four #4 rebar. () Craking moment etimated from Load-Defletion tet data. () Craking moment alulated uing atual etion and material propertie meaured for eah peimen The Tak Group iued their opinion in a report [SEAOSC 006] and reommended that original SEAOSC methodology, whih wa inorporated into the UBC, be odified again at the national level. The two author of thi paper worked toward CC or AC adoption of the pat UBC methodology baed on their Tak Group finding. n 006, the AC 18 ommittee wa very reeptive the Tak Group finding and inorporated the neeary hange into the AC edition. The lender wall proviion of AC no longer ontain Branon formula for omputing the effetive moment of inertia, and have ubtituted in it plae a bilinear equation imilar to the UBC approah. Δ 0.67 = 0.67Δ + ( Δ n 0.67Δ ), n 0.67 One tandout differene i AC ue of 0.67Δ and 0.67 intead of the UBC Δ and. Δ and in the AC equation for Δ are till baed on the higher modulu of rupture f r for onete traditionally ued in AC 18. The 0.67 fator i imply AC approah to retifying the diparity between UBC f r = 5 f baed on tet data and AC f r = 7.5 f utomary equation. ntead of reviing AC modulu of rupture equation to reflet the tet data of initial aking, AC took the approah to imply ratio the affeted attribute Δ and (5/7.5 = 0.67). The new equation produe moment-defletion urve that are nearly idential to the UBC reult and loely math the tet data. A Table 1 and illutrate, the new equation provide onervative reult when ompared with data from the twelve tilt-up wall panel tet in the Thi ontrat harply to the non-onervative reult of AC and before. Further omparing the tet data in Table, the equation for urrently in AC overetimate the wall aking moment by 6% on average. Beaue of the drati hange in the bilinear load-defletion urve at, thi overetimation reult in a ignifiant error in alulated panel defletion. n ontrat, the UBC and propoed AC reviion onervatively underetimate by 16% on average. Table ompare the load-defletion auray of the two method with the twelve tilt-up wall panel tet. The ating moment are tabulated for a reulting defletion of 1/150 of the height of the panel. The inauraie of and Branon e ombine to aue the AC reult to ignifiantly overetimate of orreponding moment. The AC approah overetimated the ating moment by 77% on average. By omparion, the UBC and propoed AC reviion onitently provided a loe, onervative moment approximation, within 1% on average. The omparion depited in Table 1 and make lear omething ha gone atray when applying fundamental AC equation to thee lender onete wall. Neither the SEAOSC Yellow Book, the Green Book, nor the SEAOSC Slender Wall Tak Group report diu any theorie behind the lower aking moment or the empirially derived bilinear moment-defletion equation. Poible anwer lie in reearh onduted in the United State, Autralia and Canada. Autralian reearh [Gilbert, 1999] built upon the work of Andrew Sanlon and onfirmed internal onete hrinkage tree a a ignifiant fator affeting baed on flat lab defletion tet data. Normally, beam peimen ued to determine modulu of rupture f r are unreinfored and have little internal retraint, allowing free hrinkage. One reinforement i added, hrinkage i partially retrained a the reinforement goe into ompreion, auing tenile tree to develop in the onete. Thee internal tenile tree aue reinfored member to ak earlier than expeted. 4

5 Panel No. (1) () L/150 oberved () L/150 UBC UBC error () L/150 AC AC error (ft-kip) (ft-kip) % (ft-kip) % % % % % % % % % % % % % % % % % % % % % % % % % Average = -1% Average = 77% Table L/150 Comparion (1) Panel number orrepond to full-ale teting program by SEAOSC/SCCAC. All panel are 4-feet tall, 4-feet wide and reinfored with four #4 rebar. () Ating oment at Δ=L/150 etimated from Load-Defletion tet data. () Ating oment at Δ=L/150 alulated uing atual etion and material propertie meaured for eah peimen. The following equation for that predit a redued urfae tre at the initiation of aking wa adopted in 000 by the Autralian Standard for Conete Struture AS600 [Gilbert, 001]. n addition to hrinkage, the Autralian Code equation for alo inlude a proviion for axial load tree applied to the onete member. (in.-lb unit, (S unit, where: = S( 7.5 f f + P A) Pe f in pi) = S( 0.6 f f + P A) f f in Pa) 1.5ρ = ρ E ρ = A /bd ε h Pe ε h = final hrinkage train of the onete. The term P/A aount for the benefit of ompreion tree or the detriment of tenile tree on influening the aking moment. Alo, any indued tenile tree from an eentri axial load P are onidered. Thi make the AS600 equation far more omprehenive, whih i epeially important for lightly reinfored or entrally reinfored member. Reent reearh though ha onluded that the ue of / i impler and quite appropriate for omputing defletion, in lieu of the Autralian Code method [Sanlon, 008]. Thi value for mathe the 1997 UBC, whih ue: f r = 5 f (pi) or At the onet of aking, member with a entral layer of reinforement (or lightly reinfored) will have an abrupt deeae in tiffne. Beaue the internal reinforement lower the aking moment due to hrinkage, ignoring thi redution will ignifiantly overetimate the member tiffne and thu under predit the defletion. A an example, Panel #7 of the full-ale teting program wa analyzed uing AS600. The AS600 equation for predit a aking moment of 8.9 ft-kip ompared with 9.1 5

6 ft-kip oberved during the tet. A an be een in Table, the AS600 equation produe the loet etimate of for thi tet peimen ompared with the 1997 UBC and AC approahe. Reearh [Bihoff, 007] ha alo identified ignifiant limitation with Branon equation for e when applied to thin onete member with a entral layer of teel. Branon Equation, firt publihed in 1965, wa baed on larger tet beam with a ratio of gro/aked moment of inertia ( g / ) et at.. When thi ratio exeed a value of about three ( g / > ), the ue of Branon equation lead to poor predition of defletion. Slender onete wall are far above thi limit, with ommon g / ratio ranging from 15 to 5 for ingle-layer reinfored wall and 6 to 1 for doublelayer reinfored wall; thu defletion i ignifiantly under predited. The main ulprit for thi under predition i the lak of proper onideration for tenion tiffening in Branon Equation. Reommendation to replae Branon equation with a more aurate equation inorporating tenion tiffening effet imilar to the Euroode have been propoed reently [Bihoff, 007; Gilbert, 007; Lawon, 007]. Servie Level Load What are they? Thu far, thi paper ha been fouing on our ability to aurately predit the lender wall behavior, epeially defletion under ervie level load. While we may be getting more aurate in omputing the repone of thee panel, there till i a great deal of unertainty a to what ervie load atually are. Hitorially, ervie level load were imply unfatored allowable tre loading. Under the older Uniform Building Code, wind and eimi lateral load were omputed at an allowable tre level and fatored up for trength baed deign. With the tranition in the profeion heading toward trength baed deign ao all material group, eimi loading are now omputed at the trength level and mut be fatored downward for allowable tre deign. Currently, both wind and eimi load ombination involve load fator to adjut to allowable tre level and preumably ervie level loading, thu ervie level load are no longer unfatored load. t i helpful to diu at thi point the intent of ervie level loading hek. With the ineaing awarene of performane baed deign onept, the intention of ervie level hek are to enure a higher level of performane under lower, but more frequent, level of earthquake or wind fore. n lender wall deign, uffiient panel tiffne i onidered important to prevent permanent deformation under maller earthquake or wind that may our frequently. nteretingly, ASCE 7-05 ontain Appendix C whih i a helpful beginning to undertanding ervie level loading. Appendix C explain the intent of ervie level loading i to addre frequent event that have a 5% probability of being exeeded annually. Appendix C wind load ombination i given a: D + 0.5L + 0.7W Compared to pat allowable tre load ombination, thi provide a lower deign iteria, but no longer baed on an arbitrary methodology without probability. Thi ame 0.7W fatored wind load an alo be found in 006 BC Table 1604., footnote f, for wall deign. Note: Appendix C wa omitted in the firt printing of ASCE 7-05 but beame available a errata. Unfortunately, ASCE 7-05 doe not provide a diuion on developing a imilar load ombination for eimi deign. Trying to develop a imple load ombination for eimi with the intent of a 5% annual probability of exeedene i not poible due to the different approahe taken for rik expoure ao the United State. The deign petral aeleration inorporated into the building ode are not baed on a uniform probability, but intead have been modified for different region of the United State. The eatern part of the ountry i largely baed on a probability methodology while the wetern oat i primarily baed on a determiniti methodology. Here in California, the determiniti approah prevail and i not aoiated with how frequent peifi ground motion our, but intead how large an earthquake an a peifi fault generate. Thi lak of uniformity between eat and wet region of the United State, and the lak of a uniform probability approah in California for ground motion, reult in the inability to apply a imple one-ize-fit-all load fator for ervie load. Subequently, AC ommentary Setion R for alternate lender wall deign reommend imply applying the following load ombination for ervie level eimi loading: D + 0.5L + 0.7E Thi load ombination i realitially a tep bak in time to our old allowable tre fore level whih traditionally have been ued without a problem. t hould be pointed out that in low eimi region of the United State, the 0.7E greatly overetimate the expeted fore level aoiated with 5% annual probability, and there may be ome merit in the 6

7 itiim that thi fore level i too onervative in area of low to moderate eimi rik. Thi i an area that ould benefit from further reearh. Dutility Proviion for Wall Anhorage n Seimi Deign Category C and higher, AC Appendix D require anhorage to onete to be deigned to behave in a dutile manner. The engineer ha another option allowed by the 006 BC to deign the onnetion for.5 time more fore in lieu of atifying dutility. A will be now diued, thi approah unfortunately failed to reognize the intent of the wall anhorage fore inorporated into the 006 BC. The 006 BC wall anhor fore are eentially the ame a thoe found in the previou 1997 UBC. Firt, a little bakground i neeary. Following the 1994 Northridge earthquake, urvey of damage to onete and maonry building with flexible roof diaphragm revealed that very limited amount of wall anhorage dutility were preent to reit the indued fore. Brittle tenile failure in teel wall anhorage trap were epeially troubleome. n addition, boundary nailing in plywood diaphragm tore out of the plywood edge due to wall anhorage elongation. New ode proviion were introdued into the 1997 UBC to addre the nondutile wall anhorage behavior oberved in the Northridge earthquake UBC Setion wa hiefly written to addre many of the wall anhorage iue potlighted in the Northridge earthquake. The lak of oberved dutility and the need for greater anhorage trength were the reaon behind 1997 UBC Setion tem 1 and 4. Wall anhorage fore to flexible diaphragm in Seimi Zone & 4 were ineaed 50% (a p =1.5) and teel element had an additional 1.4 fore multiplier. The intent of Setion (item 1, 4, and 5) wa for the wall anhorage ytem to reit brittle failure when ubjeted to maximum expeted roof aeleration. Baed on obervation of Northridge earthquake damage, it wa deemed bet to reit brittle failure through the ue of ignifiantly higher deign fore in onjuntion with antiipated material overtrength intead of any reliane on dutility. A a reult, material-peifi load fator were introdued to provide a uniform level of protetion againt brittle failure (1.4 teel, 0.85 wood, 1.0 onete/maonry). Thi approah i well doumented in the 1999 SEAOC Reommended Lateral Fore Requirement and Commentary (The Blue Book) [Referene C ]. A further evidene of the intent of thee wall anhorage proviion, the 1999 SEAOC Blue Book Commentary tate that the redued R p value for nondutile and hallow anhorage doe not apply to wall anhorage deigned uing thi overtrength approah of Setion [Referene C ]. n the development of ASCE 7-05, the intent wa to maintain the ame wall anhorage equation between the 1997 UBC and ASCE 7-05 for flexible diaphragm in high eimi zone. The wall anhorage proviion of ASCE 7-05 Setion are diretly inorporated from the 1997 UBC Setion Subtituting C a = 0.4S DS (00 NEHRP Commentary), it an be onfirmed that Eq i generally equivalent to the 1997 UBC. Through an unrelated parallel effort, AC Appendix D Setion D...4 and D...5 require anhorage dutility in moderate and high eimi zone. AC dutility requirement onflit with the intent behind Setion at wall anhorage ituation. Furthermore, 006 BC Setion allow an additional.5 load fator on top of ASCE fore in lieu of the AC dutility requirement. Thi taking of load fator on top of load fator and dutility requirement i in onflit with the original intent of the wall anhorage proviion. To ummarize, the 1997 UBC and ubequent ASCE 7-05 implement very high wall anhorage fore level to ahieve uniform protetion againt brittle failure without reliane upon dutility. Thi wa ahieved uing a rational approah onidering inherent overtrength. Through the inorporation of AC 18 Appendix D, anhorage dutility requirement were inadvertently added to thee peial wall anhorage ituation in onflit with the original intent of the proviion. Furthermore, the 006 BC fore multiplier of.5 i redundant to the original fore ineae behind the UBC and ASCE wall anhorage proviion. Ahieving anhorage dutility under AC 18 Appendix D i very diffiult for tilt-up ontrution with flexible diaphragm. For the dutility ondition to be met, teel anhor trength mut be weaker than the onete breakout trength. Beaue tilt-up wall are inherently thin lender wall deign, anhor embedment depth i limited, making it diffiult to ineae. n everal parametri tudie, it i apparent that the dutility proviion enourage maller diameter teel anhor or thiker onete wall for deeper embedment. Neither of thee approahe eem benefiial. Another unintended onequene of providing dutile anhorage i the potential elongation of the teel auing boundary nailing at plywood diaphragm to tear out of the heathing edge under maximum eimi fore level. Similar onern exit for edge welding along teel dek diaphragm at the wall panel. 7

8 Uing the 006 BC alternative, the fore are ineaed to an extreme level due to the.5-time load ineae previouly mentioned. n everal parametri tudie, thi reult in a larger number of thin anhor rod pread out over a larger onnetion area. Spreading thee anhor rod out likely reult in non-uniform anhorage fore ditribution, and intead onentrate the fore over the loet few rod, potentially reulting in a progreive rod failure. Reognizing the onflit within the building ode, the nternational Code Counil aepted a propoed BC ode reviion from thi author at the Final Ation Hearing in inneapoli, inneota in September 008. Thi ode reviion eate an exeption to the requirement for dutility or the.5 time overtrength proviion when the deign fore are omputed uing wall anhorage proviion at flexible diaphragm. The following tatement now i ontained in the 009 BC Setion : Anhor deigned to reit wall out-ofplane fore with deign trength equal to or greater than the fore determined in aordane with ASCE 7 Equation or need not atify Setion D...4 [nor] D...5. the author reommendation to fou on taple a a olution only when onidering repair option in the field to minimize plitting. Conluion The inevitable hange that our between ode yle often leave engineer bewildered a to the reaon behind the new proviion. n a general ene, we expet building ode to evolve a new knowledge i gained from iene and experiene. The hope i that we further the tate-of-the-art and provide afer, more effiient, building with eah ode yle. Oaionally, ode proviion are eated in a hurry without the neeary perpetive to inure intent i honored. With thi ode yle, tilt-up ontrution tate of the art i being advaned in ome intane and being returned appropriately to the pat in other. The proe of building ode development involve many volunteer who purue rational ode proviion that puh the tate of the art forward for afer and better truture. While not infallible, thoe who work toward thi goal hould be ommended. Reviion to Wood Sheathed Diaphragm With the BC oordination with and inorporation of the 008 NDS Seimi Deign Proviion for Wind and Seimi (SDPWS), everal hange affet tilt-up onete building with wood diaphragm. When diaphragm hear fore exeed 80 lb/ft (ASD), the traditional diaphragm hear table i inuffiient and the deigner mut eek deign olution from the High-Load Diaphragm table in the 009 BC, and i now alo in the 008 SDPWS. The 006 BC had inorporated the high-diaphragm onept from APA evaluation report CC-ES 195, but inadvertently omitted the important nail paing and tagger diagram from the report. Thi omiion left onfuion among deigner who had never onulted the original evaluation report that the table wa baed on. n the new 009 BC, thi omiion ha been retified and the diagram are now inluded. n an effort to further onolidate wood framing proviion into the NDS publiation, the 009 BC ha removed the proviion and equation for diaphragm defletion utilizing nailing, and intead i deferring to the SDPWS where the ame proviion are tated. One exeption i that the defletion of diaphragm utilizing taple i till in the 009 BC, however taple are not very ommonly ued, and it i Fig. The SCCAC / SEAOSC Green Book Team Referene AC-SEAOSC, 198, Tet Report on Slender Wall, By the AC-SEAOSC Tak Committee on Slender Wall, Strutural Engineer Aoiation of Southern California, Whittier, CA. Amrhein, 007, Wall, Wall, Wall, Wall, By Jame Amrhein and Jame Lai, STRUCTURE agazine, NCSEA, Chiago, L, July,

9 Bihoff, 007, Effetive oment of nertia for Calulating Defletion of Conete ember Containing Steel Reinforement and Fiber-Reinfored Polymer Reinforement. By Peter Bihoff and Andrew Sanlon. AC Strutural Journal, Amerian Conete ntitute, Farmington Hill,, January-February, 007. Gilbert, 1999, Defletion Calulation for Reinfored Conete Struture Why We Sometime Get t Wrong. By R. an Gilbert. AC Strutural Journal. Amerian Conete ntitute, Farmington Hill,, Nov-De Gilbert, 001, Defletion Calulation and Control Autralian Code Amendment and mprovement. By R. an Gilbert. Code Proviion for Defletion Control in Conete Struture SP 0-4, Amerian Conete ntitute, Farmington Hill,, 001. Gilbert, 007, Tenion Stiffening in Lightly Reinfored Conete Slab. By R. an Gilbert. Journal of Strutural Engineering, Amerian Soiety of Civil Engineer, Reton, VA, June, 007. Lawon, 007, A Call for Unified Deign Defletion Limit for Tilt-Up Wall Servieability, By John Lawon, Strutural Engineer, Zweig White, Chiago, L, January, 007 Lawon, 010, New Code Change under the 009 BC, Proeeding of the 010 TCA Annual Convention, rvine, California, September 9-Otober 1, 010. Sanlon, 008, Shrinkage Retraint and Loading Hitory Effet on Defletion of Flexural ember. By Andrew Sanlon and Peter Bihoff. AC Strutural Journal, Amerian Conete ntitute, Farmington Hill,, July- Augut, 008 SEAOSC, 1979, Reommended Tilt-up Wall Deign, Strutural Engineer Aoiation of Southern California, Whittier, CA, June, SEAOSC, 006, UBC 97 and AC 18-0 Code Comparion Summary Report, SEAOSC Slender Wall Tak Group, Strutural Engineer Aoiation of Southern California, Whittier, CA, January, 006 9

Chapter 4. Simulations. 4.1 Introduction

Chapter 4. Simulations. 4.1 Introduction Chapter 4 Simulation 4.1 Introdution In the previou hapter, a methodology ha been developed that will be ued to perform the ontrol needed for atuator haraterization. A tudy uing thi methodology allowed

More information

5.2.6 COMPARISON OF QUALITY CONTROL AND VERIFICATION TESTS

5.2.6 COMPARISON OF QUALITY CONTROL AND VERIFICATION TESTS 5..6 COMPARISON OF QUALITY CONTROL AND VERIFICATION TESTS Thi proedure i arried out to ompare two different et of multiple tet reult for finding the ame parameter. Typial example would be omparing ontrator

More information

Torsional resistance of high-strength concrete beams

Torsional resistance of high-strength concrete beams Torional reitane of high-trength onrete beam T. Hoain & P. Mendi Univerity of Melbourne, Vitoria, Autralia T. Aravinthan & G. Baker Univerity of Southern Queenland, Queenland, Autralia ABSTRACT: Thi paper

More information

TENSILE STRENGTH MODELING OF GLASS FIBER-POLYMER COMPOSITES AND SANDWICH MATERIALS IN FIRE

TENSILE STRENGTH MODELING OF GLASS FIBER-POLYMER COMPOSITES AND SANDWICH MATERIALS IN FIRE THE 19 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS TENSILE STRENGTH MODELING OF GLASS FIBER-POLYMER COMPOSITES AND SANDWICH MATERIALS IN FIRE S. Feih* 1, A. Anjang, V. Chevali 1,, E. Kandare 1 and

More information

P1.2 w = 1.35g k +1.5q k = = 4.35kN/m 2 M = wl 2 /8 = /8 = 34.8kN.m V = wl /2 = /2 = 17.4kN

P1.2 w = 1.35g k +1.5q k = = 4.35kN/m 2 M = wl 2 /8 = /8 = 34.8kN.m V = wl /2 = /2 = 17.4kN Chapter Solution P. w = 5 0. 0. =.5k/m (or.5/) US load =.5 g k +.5 q k =.5k/m = / =.5 / =.k.m (d) V = / =.5 / =.k P. w =.5g k +.5q k =.5 +.5 =.5k/m = / =.5 / =.k.m V = / =.5 / = 7.k 5 5( ) 000 0,0005000.

More information

THE SOLAR SYSTEM. We begin with an inertial system and locate the planet and the sun with respect to it. Then. F m. Then

THE SOLAR SYSTEM. We begin with an inertial system and locate the planet and the sun with respect to it. Then. F m. Then THE SOLAR SYSTEM We now want to apply what we have learned to the olar ytem. Hitorially thi wa the great teting ground for mehani and provided ome of it greatet triumph, uh a the diovery of the outer planet.

More information

Period #8: Axial Load/Deformation in Indeterminate Members

Period #8: Axial Load/Deformation in Indeterminate Members ENGR:75 Meh. Def. odie Period #8: ial oad/deformation in Indeterminate Member. Review We are onidering aial member in tenion or ompreion in the linear, elati regime of behavior. Thu the magnitude of aial

More information

DISCHARGE MEASUREMENT IN TRAPEZOIDAL LINED CANALS UTILIZING HORIZONTAL AND VERTICAL TRANSITIONS

DISCHARGE MEASUREMENT IN TRAPEZOIDAL LINED CANALS UTILIZING HORIZONTAL AND VERTICAL TRANSITIONS Ninth International Water Tehnology Conferene, IWTC9 005, Sharm El-Sheikh, Egypt 63 DISCHARGE MEASUREMENT IN TRAPEZOIDAL LINED CANALS UTILIZING HORIZONTAL AND VERTICAL TRANSITIONS Haan Ibrahim Mohamed

More information

Where Standard Physics Runs into Infinite Challenges, Atomism Predicts Exact Limits

Where Standard Physics Runs into Infinite Challenges, Atomism Predicts Exact Limits Where Standard Phyi Run into Infinite Challenge, Atomim Predit Exat Limit Epen Gaarder Haug Norwegian Univerity of Life Siene Deember, 07 Abtrat Where tandard phyi run into infinite hallenge, atomim predit

More information

A NEW SEISMIC DESIGN APPROACH FOR BRIDGE COLUMNS IN MODERATE SEISMICITY REGIONS

A NEW SEISMIC DESIGN APPROACH FOR BRIDGE COLUMNS IN MODERATE SEISMICITY REGIONS A NEW SEISMIC DESIGN APPROACH FOR BRIDGE COLUMNS IN MODERATE SEISMICITY REGIONS Jae-Hoon Lee 1 Jin-Ho Choi 2 and Sung-Jin Shin 3 SUMMARY Seimi performane of reinfored onrete olumn are trongly influened

More information

Software Verification

Software Verification Sotare Veriiation EXAMPLE NZS 3101-06 RC-BM-001 Flexural and Shear Beam Deign PROBLEM DESCRIPTION The purpoe o thi example i to veriy lab lexural deign in. The load level i adjuted or the ae orreponding

More information

Slenderness Effects for Concrete Columns in Sway Frame - Moment Magnification Method

Slenderness Effects for Concrete Columns in Sway Frame - Moment Magnification Method Slenderness Effets for Conrete Columns in Sway Frame - Moment Magnifiation Method Slender Conrete Column Design in Sway Frame Buildings Evaluate slenderness effet for olumns in a sway frame multistory

More information

NUMERICAL SIMULATION ON THE FIREPROOF BEHAVIOR OF RC BEAM STRENGTHENED WITH STRANDED MESH AND POLYMER MORTAR

NUMERICAL SIMULATION ON THE FIREPROOF BEHAVIOR OF RC BEAM STRENGTHENED WITH STRANDED MESH AND POLYMER MORTAR 1 NUMERIAL SIMULATION ON THE FIREPROOF BEHAVIOR OF R BEAM STRENGTHENED WITH STRANDED MESH AND POLYMER MORTAR M.G. Yue 1, Q.L. Yao, Y.Y. Wang and H.N. Li 1 State Key Laboratory of otal and Offhore Engineering,

More information

Slenderness Effects for Concrete Columns in Sway Frame - Moment Magnification Method

Slenderness Effects for Concrete Columns in Sway Frame - Moment Magnification Method Slenderness Effets for Conrete Columns in Sway Frame - Moment Magnifiation Method Slender Conrete Column Design in Sway Frame Buildings Evaluate slenderness effet for olumns in a sway frame multistory

More information

Creep and Shrinkage Analysis of Curved Composite Beams Including the Effects of Partial Interaction

Creep and Shrinkage Analysis of Curved Composite Beams Including the Effects of Partial Interaction Paper 154 Civil-Comp Pre, 212 Proeeding of the Eleventh International Conferene on Computational Struture Tehnology, B.H.V. Topping, (Editor), Civil-Comp Pre, Stirlinghire, Sotland Creep and Shrinkage

More information

ES 247 Fracture Mechanics Zhigang Suo. Applications of Fracture Mechanics

ES 247 Fracture Mechanics   Zhigang Suo. Applications of Fracture Mechanics Appliation of Frature Mehani Many appliation of frature mehani are baed on the equation σ a Γ = β. E Young modulu i uually known. Of the other four quantitie, if three are known, the equation predit the

More information

Software Verification

Software Verification Sotware Veriiation EXAMPLE CSA A23.3-04 RC-BM-00 Flexural and Shear Beam Deign PROBLEM DESCRIPTION The purpoe o thi example i to veri lab lexural deign in. The load level i adjuted or the ae orreponding

More information

Case Study in Reinforced Concrete adapted from Simplified Design of Concrete Structures, James Ambrose, 7 th ed.

Case Study in Reinforced Concrete adapted from Simplified Design of Concrete Structures, James Ambrose, 7 th ed. ARCH 631 Note Set 11 F015abn Case Study in Reinfored Conrete adapted from Simplified Design of Conrete Strutures, James Ambrose, 7 th ed. Building desription The building is a three-story offie building

More information

Towards Systems Behavior Factors for Composite Frames: Experimental and Analytical Studies

Towards Systems Behavior Factors for Composite Frames: Experimental and Analytical Studies Toward Sytem Behavior Fator for Compoite Frame: Experimental and Analytial Studie A Summary Final Report to the Amerian Intitute of Steel Contrution by Roberto T. Leon and Tiziano Perea Shool of Civil

More information

Critical Percolation Probabilities for the Next-Nearest-Neighboring Site Problems on Sierpinski Carpets

Critical Percolation Probabilities for the Next-Nearest-Neighboring Site Problems on Sierpinski Carpets Critial Perolation Probabilitie for the Next-Nearet-Neighboring Site Problem on Sierpinki Carpet H. B. Nie, B. M. Yu Department of Phyi, Huazhong Univerity of Siene and Tehnology, Wuhan 430074, China K.

More information

Cover page. Seismic Assessment of Steel Chemical Storage Tanks. Authors:

Cover page. Seismic Assessment of Steel Chemical Storage Tanks. Authors: Cover page itle: Author: Seimi Aement of Steel Chemial Storage ank. Chun-Wei Chang (Preenter and Contat peron Aitant Engineer, ehnial iviion of aipei Water epartment 131, ChangXing Street, aipei 1067,

More information

Software Verification

Software Verification BS-5950-90 Examle-001 STEEL DESIGNES MANUAL SIXTH EDITION - DESIGN OF SIMPLY SUPPOTED COMPOSITE BEAM EXAMPLE DESCIPTION Deign a omoite floor ith beam at 3-m enter anning 12 m. The omoite lab i 130 mm dee.

More information

Einstein's Energy Formula Must Be Revised

Einstein's Energy Formula Must Be Revised Eintein' Energy Formula Mut Be Reied Le Van Cuong uong_le_an@yahoo.om Information from a iene journal how that the dilation of time in Eintein peial relatie theory wa proen by the experiment of ientit

More information

European Technical Assessment. ETA Option 1-16/0276. Min. thick. of base material. thick. of part to be fixed. min.

European Technical Assessment. ETA Option 1-16/0276. Min. thick. of base material. thick. of part to be fixed. min. TAPCO XTREM zin oated & tainle teel verion 1/ Conrete rew anhor for ue in raked and non-raked onrete ETA European Tehnial Aement ETA Option 1-16/0276 T int d f h 0 Tehnial data t fix APPLICATIO Channel,

More information

Evaluation of effect of blade internal modes on sensitivity of Advanced LIGO

Evaluation of effect of blade internal modes on sensitivity of Advanced LIGO Evaluation of effet of blade internal modes on sensitivity of Advaned LIGO T0074-00-R Norna A Robertson 5 th Otober 00. Introdution The urrent model used to estimate the isolation ahieved by the quadruple

More information

3.6 Flexural, Design Example of Negative Moment Region

3.6 Flexural, Design Example of Negative Moment Region 3.0 CONCRETE STRUCTURES 3.1 Material Propertie 3.2 Fatigue Limit State 3.3 Strength Limit State 3.4 Flexure 3.5 Flexure Deign Example 3.6 Flexural, Deign Example o Negative Moment Region 3.7 Shear 3.8

More information

Available online at Procedia Engineering 57 (2013 ) Ipolitas Židonis

Available online at   Procedia Engineering 57 (2013 ) Ipolitas Židonis Available online at.ienediret.om Proedia Engineering 57 (013 ) 1309 1318 11th International Conferene on odern Building aterial, truture and Tehnique, BT 013 trength Calulation ethod for Cro-etion of Reinfored

More information

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion Millennium Relativity Aeleration Composition he Relativisti Relationship between Aeleration and niform Motion Copyright 003 Joseph A. Rybzyk Abstrat he relativisti priniples developed throughout the six

More information

Energy-Work Connection Integration Scheme for Nonholonomic Hamiltonian Systems

Energy-Work Connection Integration Scheme for Nonholonomic Hamiltonian Systems Commun. Theor. Phy. Beiing China 50 2008 pp. 1041 1046 Chinee Phyial Soiety Vol. 50 No. 5 November 15 2008 Energy-Wor Connetion Integration Sheme for Nonholonomi Hamiltonian Sytem WANG Xian-Jun 1 and FU

More information

3.6 Flexural, Design Example of Negative Moment Region

3.6 Flexural, Design Example of Negative Moment Region 3.0 CONCRETE STRUCTURES 3.1 Material Propertie 3.2 Fatigue Limit State 3.3 Strength Limit State 3.4 Flexure 3.5 Flexure Deign Example 3.6 Flexural, Deign Example o Negative Moment Region 3.7 Shear 3.8

More information

Design Manual to EC2. LinkStudPSR. Version 3.1 BS EN : Specialists in Punching Shear Reinforcement.

Design Manual to EC2. LinkStudPSR. Version 3.1 BS EN : Specialists in Punching Shear Reinforcement. LinkStudPSR Speialit in Punhing Shear Reinforement Deign Manual to EC BS EN 199-1-1:004 Verion 3.1 January 018 LinkStud PSR Limited /o Brook Forging Ltd Doulton Road Cradley Heath Wet Midland B64 5QJ Tel:

More information

PID CONTROL. Presentation kindly provided by Dr Andy Clegg. Advanced Control Technology Consortium (ACTC)

PID CONTROL. Presentation kindly provided by Dr Andy Clegg. Advanced Control Technology Consortium (ACTC) PID CONTROL Preentation kindly provided by Dr Andy Clegg Advaned Control Tehnology Conortium (ACTC) Preentation Overview Introdution PID parameteriation and truture Effet of PID term Proportional, Integral

More information

To determine the biasing conditions needed to obtain a specific gain each stage must be considered.

To determine the biasing conditions needed to obtain a specific gain each stage must be considered. PHYSIS 56 Experiment 9: ommon Emitter Amplifier A. Introdution A ommon-emitter oltage amplifier will be tudied in thi experiment. You will inetigate the fator that ontrol the midfrequeny gain and the low-and

More information

OLIGONUCLEOTIDE microarrays are widely used

OLIGONUCLEOTIDE microarrays are widely used Evolution Strategy with Greedy Probe Seletion Heuriti for the Non-Unique Oligonuleotide Probe Seletion Problem Lili Wang, Alioune Ngom, Robin Gra and Lui Rueda Abtrat In order to aurately meaure the gene

More information

Open Access Discussion on Dynamic Numerical Simulation for Earthquake of Immersed Tunnel at Seabed

Open Access Discussion on Dynamic Numerical Simulation for Earthquake of Immersed Tunnel at Seabed Send Order for Reprint to reprint@benthamiene.ae The Open Civil Engineering Journal, 2015, 9, 773-782 773 Open Ae Diuion on Dynami Numerial Simulation for Earthquake of Immered Tunnel at Seabed Yang Bo

More information

Econ 455 Answers - Problem Set 4. where. ch ch ch ch ch ch ( ) ( ) us us ch ch us ch. (world price). Combining the above two equations implies: 40P

Econ 455 Answers - Problem Set 4. where. ch ch ch ch ch ch ( ) ( ) us us ch ch us ch. (world price). Combining the above two equations implies: 40P Fall 011 Eon 455 Harvey Lapan Eon 455 Anwer - roblem et 4 1. Conider the ae of two large ountrie: U: emand = 300 4 upply = 6 where h China: emand = 300 10 ; upply = 0 h where (a) Find autarky prie: U:

More information

SCOUR HOLE CHARACTERISTICS AROUND A VERTICAL PIER UNDER CLEARWATER SCOUR CONDITIONS

SCOUR HOLE CHARACTERISTICS AROUND A VERTICAL PIER UNDER CLEARWATER SCOUR CONDITIONS ARPN Journal of Engineering and Applied Siene 2006-2012 Aian Reearh Publihing Network (ARPN). All right reerved. www.arpnjournal.om SCOUR HOLE CHARACTERISTICS AROUND A VERTICAL PIER UNDER CLEARWATER SCOUR

More information

Sound Propagation through Circular Ducts with Spiral Element Inside

Sound Propagation through Circular Ducts with Spiral Element Inside Exerpt from the Proeeding of the COMSOL Conferene 8 Hannover Sound Propagation through Cirular Dut with Spiral Element Inide Wojieh Łapka* Diviion of Vibroaouti and Sytem Biodynami, Intitute of Applied

More information

Shear-Friction Strength of RC Walls with 550 MPa Bars

Shear-Friction Strength of RC Walls with 550 MPa Bars Proeedings of the Tenth Paifi Conferene on Earthquake Engineering Building an Earthquake-Resilient Paifi 6-8 November 215, Sydney, Australia Shear-Frition Strength of RC Walls with 55 MPa Bars Jang-woon

More information

Establishment of Model of Damping Mechanism for the Hard-coating Cantilever Plate

Establishment of Model of Damping Mechanism for the Hard-coating Cantilever Plate Etalihment of Model of Damping Mehanim for the Hard-oating Cantilever Plate Rong Liu 1, Ran Li 1, Wei Sun 1* 1 Shool of Mehanial Engineering & Automation, Northeatern Univerity, Shenyang 110819, China

More information

Concrete Frame Design Manual

Concrete Frame Design Manual Conrete Frame Deign Manual ETBS Integrated Three-Dimenional Stati and Dynami nalyi and Deign o Building Sytem CONCRETE FRME DESIGN MNUL COMPUTERS & STRUCTURES INC. R Computer and Struture, In. Berkeley,

More information

On settlement of stone column foundation by Priebe s method

On settlement of stone column foundation by Priebe s method Proeeding of the Intitution of Civil Engineer Ground Improvement 13 May 010 Iue GI Page 101 107 doi: 10.180/grim.010.13..101 Paper 900011 Reeived 13/0/009 epted 04/01/010 Keyword: foundation/ mathematial

More information

STUDY ON EFFECTIVE PRESTRESS OF RC BEAM STRENGTHENING WITH PRESTRESSED FRP

STUDY ON EFFECTIVE PRESTRESS OF RC BEAM STRENGTHENING WITH PRESTRESSED FRP Aia-Paifi Conferene on FRP in Struture (APFIS 27) S.T. Smith (ed) 27 International Intitute for FRP in Contrution STUDY ON FFCTIV PRSTRSS OF RC BAM STRNGTHNING WITH PRSTRSSD FRP X.Y. Guo, P.Y. Huang and

More information

Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras

Intuitionistic Fuzzy WI-Ideals of Lattice Wajsberg Algebras Intern J Fuzzy Mathematial Arhive Vol 15, No 1, 2018, 7-17 ISSN: 2320 3242 (P), 2320 3250 (online) Publihed on 8 January 2018 wwwreearhmathiorg DOI: http://dxdoiorg/1022457/ijfmav15n1a2 International Journal

More information

THE RATIO OF DISPLACEMENT AMPLIFICATION FACTOR TO FORCE REDUCTION FACTOR

THE RATIO OF DISPLACEMENT AMPLIFICATION FACTOR TO FORCE REDUCTION FACTOR 3 th World Conference on Earthquake Engineering Vancouver, B.C., Canada Augut -6, 4 Paper No. 97 THE RATIO OF DISPLACEMENT AMPLIFICATION FACTOR TO FORCE REDUCTION FACTOR Mua MAHMOUDI SUMMARY For Seimic

More information

Universities of Leeds, Sheffield and York

Universities of Leeds, Sheffield and York promoting aess to White Rose researh papers Universities of Leeds, Sheffield and York http://eprints.whiterose.a.uk/ This is an author produed version of a paper published in Journal of Composites for

More information

INDIVIDUAL OVERTOPPING EVENTS AT DIKES

INDIVIDUAL OVERTOPPING EVENTS AT DIKES INDIVIDUAL OVEOPPING EVENS A DIKES Gij Boman 1, Jentje van der Meer 2, Gij offman 3, olger Shüttrumpf 4 and enk Jan Verhagen 5 eently, formulae have been derived for maximum flow depth and veloitie on

More information

WRAP-AROUND GUSSET PLATES

WRAP-AROUND GUSSET PLATES WRAP-AROUND GUSSET PLATES Where a horizontal brae is loated at a beam-to-olumn intersetion, the gusset plate must be ut out around the olumn as shown in Figure. These are alled wrap-around gusset plates.

More information

Notes on Implementation of Colloid Transport and Colloid-Facilitated Solute Transport into HYDRUS-1D

Notes on Implementation of Colloid Transport and Colloid-Facilitated Solute Transport into HYDRUS-1D Note on Implementation of Colloid Tranport and Colloid-Failitated Solute Tranport into HYDRUS-1D (a text implified from van Genuhten and Šimůnek (24) and Šimůnek et al. (26)) Jirka Šimůnek Department of

More information

FORCE DISTRIBUTION OF REINFORCED CONCRETE COUPLING BEAMS WITH DIAGONAL REINFORCEMENT

FORCE DISTRIBUTION OF REINFORCED CONCRETE COUPLING BEAMS WITH DIAGONAL REINFORCEMENT FORCE DISTRIBUTION OF REINFORCED CONCRETE COULING BEAMS WITH DIAGONAL REINFORCEMENT Yenny Nurhasanah Jurusan Teknik Sipil, Fakultas Teknik, Universitas Muhammadiyah Surakarta Jl. A. Yani Tromol os 1 abelan

More information

Heat transfer and absorption of SO 2 of wet flue gas in a tube cooled

Heat transfer and absorption of SO 2 of wet flue gas in a tube cooled Heat tranfer and aborption of SO of wet flue ga in a tube ooled L. Jia Department of Power Engineering, Shool of Mehanial, Eletroni and Control Engineering, Beijing Jiaotong Univerity, Beijing 00044, China

More information

ANALYSIS OF A REDUNDANT SYSTEM WITH COMMON CAUSE FAILURES

ANALYSIS OF A REDUNDANT SYSTEM WITH COMMON CAUSE FAILURES Dharmvir ingh Vahith et al. / International Journal of Engineering iene and Tehnology IJET ANALYI OF A REDUNDANT YTEM WITH OMMON AUE FAILURE Dharmvir ingh Vahith Department of Mathemati, R.N. Engg. ollege,

More information

A consistent beam element formulation considering shear lag effect

A consistent beam element formulation considering shear lag effect OP Conferene Serie: aterial Siene and Engineering onitent beam element formulation onidering hear lag effet To ite thi artile: E Nouhi et al OP Conf. Ser.: ater. Si. Eng. View the artile online for update

More information

Flexural Reinforced Concrete Elements Residual Stresses of Fibres with Limited Reinforcement Bond

Flexural Reinforced Concrete Elements Residual Stresses of Fibres with Limited Reinforcement Bond ISSN 09 9990 JOURNL O SUSTINBL RCHITCTUR ND CIVIL NGINRING DRNIOJI RCHITKTŪR IR STTYB 0 No leural Refored Conrete lement Reidual Stree ibre Limited Reforement Bond Goara ndriuši lgirda ugoni Mdauga ugoni

More information

CHAPTER 5 CONCRETE DESIGN

CHAPTER 5 CONCRETE DESIGN BRIDGE DESIGN PRCTICE OCTOBER 2011 CHPTER 5 CONCRETE DESIGN TBEL OF CONTENTS 5.1 INTRODUCTION... 1 5.2 STRUCTURL MTERILS... 2 5.2.1 Conrete... 2 5.2.2 Reinoring Steel... 2 5.2.3 Pretreing Steel... 2 5.3

More information

A.1. Member capacities A.2. Limit analysis A.2.1. Tributary weight.. 7. A.2.2. Calculations. 7. A.3. Direct design 13

A.1. Member capacities A.2. Limit analysis A.2.1. Tributary weight.. 7. A.2.2. Calculations. 7. A.3. Direct design 13 APPENDIX A APPENDIX A Due to its extension, the dissertation ould not inlude all the alulations and graphi explanantions whih, being not essential, are neessary to omplete the researh. This appendix inludes

More information

On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types

On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types Applied Mathemati, 00,, 00-05 doi:0.36/am.00.505 Publihed Online November 00 (http://www.sip.org/journal/am) On the Stationary Convetion of Thermohaline Problem of Veroni and Stern Type Abtrat Joginder

More information

New Directions in Interconnect Performance Optimization

New Directions in Interconnect Performance Optimization New Diretion in Interonnet Performane Optimization Antoine ourtay 1,2, Johann Laurent, Nathalie Julien 1 Lab-STI - Univerity of South Brittany rue de aint maudé 56100 Lorient, Frane {firt name}.{lat name}@univ-ub.fr

More information

Wood Design. = theoretical allowed buckling stress

Wood Design. = theoretical allowed buckling stress Wood Design Notation: a = name for width dimension A = name for area A req d-adj = area required at allowable stress when shear is adjusted to inlude self weight b = width of a retangle = name for height

More information

Software Verification

Software Verification EXAMPLE 17 Crack Width Analyi The crack width, wk, i calculated uing the methodology decribed in the Eurocode EN 1992-1-1:2004, Section 7.3.4, which make ue of the following expreion: (1) w = ( ),max ε

More information

CAC Concrete Design Handbook, 3 rd Edition, Errata

CAC Concrete Design Handbook, 3 rd Edition, Errata February 8, 008 CAC Conrete Deign Handbook, rd Edition, Errata To date three printing o the rd Edition o the CAC Conrete Deign Handbook have been run. Sot Cover, Hard Cover 1 t Printing, and Hard Cover

More information

Estimating floor acceleration in nonlinear multi-story moment-resisting frames

Estimating floor acceleration in nonlinear multi-story moment-resisting frames Etimating floor acceleration in nonlinear multi-tory moment-reiting frame R. Karami Mohammadi Aitant Profeor, Civil Engineering Department, K.N.Tooi Univerity M. Mohammadi M.Sc. Student, Civil Engineering

More information

Stability of Rock Berm under Wave and Current Loading

Stability of Rock Berm under Wave and Current Loading The Proeeding of The Tenty-third (13) International OFFSHORE AND POLAR ENGINEERING CONFERENCE Anhorage, Alaka, USA, June 3-July 5, 13, Paper TPC_61 Stability of Rok Berm under Wave and Current Loading

More information

ANALYSIS OF FLEXIBLE CLAMPING IN TENSILE TESTS OF MULTIDIRECTIONAL LAMINATES

ANALYSIS OF FLEXIBLE CLAMPING IN TENSILE TESTS OF MULTIDIRECTIONAL LAMINATES THE 19 TH INTERNATIONA CONFERENCE ON COOITE ATERIA 1 General Introdution Tenile tet in multidiretional laminate are uually applied in ae where oupling effet do not eit or when they are negligile. The prolem

More information

Deepak Rajput

Deepak Rajput General quetion about eletron and hole: A 1a) What ditinguihe an eletron from a hole? An) An eletron i a fundamental partile wherea hole i jut a onept. Eletron arry negative harge wherea hole are onidered

More information

Unified Design Method for Flexure and Debonding in FRP Retrofitted RC Beams

Unified Design Method for Flexure and Debonding in FRP Retrofitted RC Beams Unified Deign Method for Flexure and Debonding in FRP Retrofitted RC Beam G.X. Guan, Ph.D. 1 ; and C.J. Burgoyne 2 Abtract Flexural retrofitting of reinforced concrete (RC) beam uing fibre reinforced polymer

More information

BEAMS: SHEARING STRESS

BEAMS: SHEARING STRESS LECTURE Third Edition BEAMS: SHEARNG STRESS A. J. Clark Shool of Engineering Department of Civil and Environmental Engineering 14 Chapter 6.1 6.4 b Dr. brahim A. Assakkaf SPRNG 200 ENES 220 Mehanis of

More information

Rating Protocols in Online Communities

Rating Protocols in Online Communities Rating Protool in Online Communitie Yu Zhang, Jaeo Par, Mihaela van der Shaar 3 Abtrat Sutaining ooperation among elf-intereted agent i ritial for the proliferation of emerging online ommunitie. Providing

More information

Interaction Diagram - Tied Reinforced Concrete Column (Using CSA A )

Interaction Diagram - Tied Reinforced Concrete Column (Using CSA A ) Interaction Diagram - Tied Reinforced Concrete Column (Uing CSA A23.3-14) Interaction Diagram - Tied Reinforced Concrete Column Develop an interaction diagram for the quare tied concrete column hown in

More information

FRACTURE TOUGHNESS AND MICROSTRUCTURE OF CONCRETE AT EARLY-AGES

FRACTURE TOUGHNESS AND MICROSTRUCTURE OF CONCRETE AT EARLY-AGES Advane in Civil Engineering Material The 50-year Teahing and Reearh Anniverary of Prof. Sun Wei, 15 Otober 008, Nanjing, China FRACTURE TOUGHNESS AND MICROSTRUCTURE OF CONCRETE AT EARLY-AGES Zongjin Li

More information

BEHAVIOR OF SQUARE CONCRETE-FILLED TUBULAR COLUMNS UNDER ECCENTRIC COMPRESSION WITH DOUBLE CURVATURE DEFLECTION

BEHAVIOR OF SQUARE CONCRETE-FILLED TUBULAR COLUMNS UNDER ECCENTRIC COMPRESSION WITH DOUBLE CURVATURE DEFLECTION Otober 2-7, 28, Beijing, China BEHAVIOR OF SQARE CONCRETE-FILLED TBLAR COLNS NDER ECCENTRIC COPRESSION WITH DOBLE CRVATRE DEFLECTION T. Fujinaga, H. Doi 2 and Y.P. Sun 3 Assoiate Professor, Researh Center

More information

Thermochemistry and Calorimetry

Thermochemistry and Calorimetry WHY? ACTIVITY 06-1 Thermohemitry and Calorimetry Chemial reation releae or tore energy, uually in the form of thermal energy. Thermal energy i the kineti energy of motion of the atom and moleule ompriing

More information

Design of AAC floor slabs according to EN 12602

Design of AAC floor slabs according to EN 12602 Design of AAC floor slabs aording to EN 160 Example 1: Floor slab with uniform load 1.1 Issue Design of a floor slab under a living room Materials Component with a ompressive strength lass AAC 4,5, densit

More information

A Queueing Model for Call Blending in Call Centers

A Queueing Model for Call Blending in Call Centers 434 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 8, AUGUST 2003 A Queueing Model for Call Blending in Call Center Sandjai Bhulai and Ger Koole Abtrat Call enter that apply all blending obtain high-produtivity

More information

Document downloaded from: This paper must be cited as:

Document downloaded from:   This paper must be cited as: Doument downloaded from: http://hdl.handle.net/10251/48928 Thi paper mut be ited a: Bonet Senah, JL.; Romero, ML.; Miguel Soa, P. (2011). Effetive flexural tiffne of lender reinfored onrete olumn under

More information

Sidelobe-Suppression Technique Applied To Binary Phase Barker Codes

Sidelobe-Suppression Technique Applied To Binary Phase Barker Codes Journal of Engineering and Development, Vol. 16, No.4, De. 01 ISSN 1813-78 Sidelobe-Suppreion Tehnique Applied To Binary Phae Barker Code Aitant Profeor Dr. Imail M. Jaber Al-Mutaniriya Univerity College

More information

The Optimizing of the Passenger Throughput at an Airport Security Checkpoint

The Optimizing of the Passenger Throughput at an Airport Security Checkpoint Open Journal of Applied Siene, 17, 7, 485-51 http://www.irp.org/journal/ojapp ISSN Online: 165-395 ISSN Print: 165-3917 The Optimizing of the Paenger Throughput at an Airport Seurity Chepoint Xiaoun Mao,

More information

On-demand Mobile Charger Scheduling for Effective Coverage in Wireless Rechargeable Sensor Networks

On-demand Mobile Charger Scheduling for Effective Coverage in Wireless Rechargeable Sensor Networks On-demand Mobile Charger Sheduling for Effetive Coverage in Wirele Rehargeable Senor Network Lintong Jiang, Haipeng Dai, Xiaobing Wu, and Guihai Chen State Key Laboratory for Novel Software Tehnology,

More information

Wave Phenomena Physics 15c

Wave Phenomena Physics 15c Wave Phenomena Phyi 15 Leture 18 EM Wave in Matter (H&L Setion 9.7) What We Did Lat Time! Reviewed refletion and refration! Total internal refletion i more ubtle than it look! Imaginary wave extend a few

More information

Modeling and Simulation of Buck-Boost Converter with Voltage Feedback Control

Modeling and Simulation of Buck-Boost Converter with Voltage Feedback Control MATE Web of onferene 3, 0006 ( 05) DOI: 0.05/ mateonf/ 053 0006 Owned by the author, publihed by EDP Siene, 05 Modeling and Simulation of BukBoot onverter with oltage Feedbak ontrol Xuelian Zhou, Qiang

More information

Evaluation of a Dual-Load Nondestructive Testing System To Better Discriminate Near-Surface Layer Moduli

Evaluation of a Dual-Load Nondestructive Testing System To Better Discriminate Near-Surface Layer Moduli 52 TRANSPORTATION RESEARCH RECORD 1355 Evaluation of a Dual-Load Nondestrutive Testing System To Better Disriminate Near-Surfae Layer Moduli REYNALDO ROQUE, PEDRO ROMERO, AND BYRON E. RUTH Theoretial analyses

More information

IMPEDANCE EFFECTS OF LEFT TURNERS FROM THE MAJOR STREET AT A TWSC INTERSECTION

IMPEDANCE EFFECTS OF LEFT TURNERS FROM THE MAJOR STREET AT A TWSC INTERSECTION 09-1289 Citation: Brilon, W. (2009): Impedane Effets of Left Turners from the Major Street at A TWSC Intersetion. Transportation Researh Reord Nr. 2130, pp. 2-8 IMPEDANCE EFFECTS OF LEFT TURNERS FROM THE

More information

Supplementary Materials for

Supplementary Materials for advane.ienemag.org/gi/ontent/full/3/5/e1601984/dc1 Supplementary Material for Harneing the hygroopi and biofluoreent behavior of genetially tratable mirobial ell to deign biohybrid wearable Wen Wang, Lining

More information

Lag-Lead Compensator Design

Lag-Lead Compensator Design Lag-Lead Compenator Deign ELEC 3 Spring 08 Lag or Lead Struture A bai ompenator onit of a gain, one real pole and one real zero Two type: phae-lead and phae-lag Phae-lead: provide poitive phae hift and

More information

Social Studies 201 Notes for March 18, 2005

Social Studies 201 Notes for March 18, 2005 1 Social Studie 201 Note for March 18, 2005 Etimation of a mean, mall ample ize Section 8.4, p. 501. When a reearcher ha only a mall ample ize available, the central limit theorem doe not apply to the

More information

ELECTRICAL INSTALLATION CERTIFICATE (REQUIREMENTS FOR ELECTRICAL INSTALLATIONS - BS 7671 [IEE WIRING REGULATIONS])

ELECTRICAL INSTALLATION CERTIFICATE (REQUIREMENTS FOR ELECTRICAL INSTALLATIONS - BS 7671 [IEE WIRING REGULATIONS]) I ertifiate No: ELETRIL INTLLTION ERTIFE (REUIREMENT FOR ELETRIL INTLLTION B [IEE WIRING REGULTION]) DETIL OF THE LIENT lient Yewtree.om Detail: Yewtree Houe Edge INTLLTION DDRE Intallation ddre: heltenham

More information

The Serviceability Considerations of HSC Heavily Steel Reinforced Members under Bending

The Serviceability Considerations of HSC Heavily Steel Reinforced Members under Bending Amerian Journal of Applied Sienes 5 (9): 115-114, 8 ISSN 1546-99 8 Siene Publiations The Servieability Considerations of HSC Heavily Steel Reinfored Members under Bending 1 Ali Akbar ghsoudi and Yasser

More information

Cogging torque reduction of Interior Permanent Magnet Synchronous Motor (IPMSM)

Cogging torque reduction of Interior Permanent Magnet Synchronous Motor (IPMSM) Cogging torque redution of Interior Permanent Magnet Synhronou Motor (IPMSM) Mehdi Arehpanahi* and Hamed Kahefi Department of Eletrial Engineering, Tafreh Univerity, Tafreh, Iran, P.O. 3958 796,, Email:

More information

CUSUM AND EWMA MULTI-CHARTS FOR DETECTING A RANGE OF MEAN SHIFTS

CUSUM AND EWMA MULTI-CHARTS FOR DETECTING A RANGE OF MEAN SHIFTS tatitia inia 17(007), 1139-1164 UUM AND EWMA MULTI-HART FR DETETING A RANGE F MEAN HIFT Dong Han 1, Fugee Tung, Xijian Hu 3 and Kaibo Wang 1 hanghai Jiao Tong Univerity Hong Kong Univerity of iene and

More information

UVa Course on Physics of Particle Accelerators

UVa Course on Physics of Particle Accelerators UVa Coure on Phyi of Partile Aelerator B. Norum Univerity of Virginia G. A. Krafft Jefferon Lab 3/7/6 Leture x dx d () () Peudoharmoni Solution = give β β β () ( o µ + α in µ ) β () () β x dx ( + α() α

More information

Bending resistance of high performance concrete elements

Bending resistance of high performance concrete elements High Performane Strutures and Materials IV 89 Bending resistane of high performane onrete elements D. Mestrovi 1 & L. Miulini 1 Faulty of Civil Engineering, University of Zagreb, Croatia Faulty of Civil

More information

Lecture 16. Kinetics and Mass Transfer in Crystallization

Lecture 16. Kinetics and Mass Transfer in Crystallization Leture 16. Kineti and Ma Tranfer in Crytallization Crytallization Kineti Superaturation Nuleation - Primary nuleation - Seondary nuleation Crytal Growth - Diffuion-reation theory - Srew-diloation theory

More information

Shear in Beams 2. Reinforced Concrete Design. Shear Design Summary. Shear design summary More detail shear design. Shear span Deep beam WSD SDM

Shear in Beams 2. Reinforced Concrete Design. Shear Design Summary. Shear design summary More detail shear design. Shear span Deep beam WSD SDM Reinfored Conrete Deign Shear in Beam 2 Shear deign mmary More detail hear deign Shear pan Deep beam Mongkol JIRAACHARADET S U R A N A R E E UNIERSITY OF TECHNOLOGY INSTITUTE OF ENGINEERING SCHOOL OF CIIL

More information

Min. thick. of base material. Max. thick. of part to be fixed. Min. anchor depth. t fix. h min. Anchor mechanical properties

Min. thick. of base material. Max. thick. of part to be fixed. Min. anchor depth. t fix. h min. Anchor mechanical properties 104 inyleter rein - For ue in raked & non-raked onrete and eimi performane 1 ategory d T int d f t fix h ef = h 0 ISTALLATIO * L h min APPLIATIO Steel profile Fixing mahinery (reitant to vibration) Storage

More information

@(; t) p(;,b t) +; t), (; t)) (( whih lat line follow from denition partial derivative. in relation quoted in leture. Th derive wave equation for ound

@(; t) p(;,b t) +; t), (; t)) (( whih lat line follow from denition partial derivative. in relation quoted in leture. Th derive wave equation for ound 24 Spring 99 Problem Set 5 Optional Problem Phy February 23, 999 Handout Derivation Wave Equation for Sound. one-dimenional wave equation for ound. Make ame ort Derive implifying aumption made in deriving

More information

Assessment of Proportional Integral Control Loop Performance for Input Load Disturbance Rejection

Assessment of Proportional Integral Control Loop Performance for Input Load Disturbance Rejection Artile pub.a.org/ecr Aement of Proportional ntegral Control Loop Performane for nput Load Diturbane Rejetion Zhenpeng Yu and Jiandong Wang College of Engineering, Peking Univerity, Beijing, China 87 ABSTRACT:

More information

NON-STATIONARY HEATING OF LOW-POWER INDUCTION MOTOR UNDER CONTINUED OVERLOAD

NON-STATIONARY HEATING OF LOW-POWER INDUCTION MOTOR UNDER CONTINUED OVERLOAD ENGINEERING FOR RURL DEVELOPMENT Jelgava 4.-5.5.1. NON-STTIONRY HETING OF LOW-POWER INDUCTION MOTOR UNDER CONTINUED OVERLOD ndri Snider lexey Gedzur Latvia Univerity of griulture andri.nider@llu.lv alekej.gedzur@inbox.lv

More information

thirteen wood construction: column design ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture

thirteen wood construction: column design ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2017 leture thirteen wood onstrution: olumn design Wood Columns 1 Compression Members (revisited) designed for strength & stresses

More information

At the end of this lesson, the students should be able to understand:

At the end of this lesson, the students should be able to understand: Intructional Objective: At the end of thi leon, the tudent hould be able to undertand: Baic failure mechanim of riveted joint. Concept of deign of a riveted joint. 1. Strength of riveted joint: Strength

More information

THE EQUATION CONSIDERING CONCRETE STRENGTH AND STIRRUPS FOR DIAGONAL COMPRESSIVE CAPACITY OF RC BEAM

THE EQUATION CONSIDERING CONCRETE STRENGTH AND STIRRUPS FOR DIAGONAL COMPRESSIVE CAPACITY OF RC BEAM - Tehnial Paper - THE EQUATION CONSIDERING CONCRETE STRENGTH AND STIRRUPS FOR DIAGONAL COMPRESSIE CAPACITY OF RC BEAM Patarapol TANTIPIDOK *, Koji MATSUMOTO *, Ken WATANABE *3 and Junihiro NIWA *4 ABSTRACT

More information