HomeMy WebLinkAboutHeat loss, etc info f �
VentilatiQn, Makeup ana �ompust�on H�r �.a�cu�a��ons
5ubmittat form for New Dwellings
These biank subm'rttal forms dnd instructions are iveilable at the City of Edina wabsite and st Gry NsIL The completed fnrm rnust be
submittnd in duplicate at the time of applicavon for a met�en(cal permit for new construction.Addiriond Portns m�y ba downtoaded and
prtrrced ar. http://dtYofedina.com/depaRmerrcs/13-09_buildinB.htm
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Section A
Ventilatio�Quar�tity
(cecenrone quancity bv usms reae rnloa.z a equation si-i)
Squere teet�CondiGoned area irxtuding /L 7.
Basemant—ftnished or WMinishetl) �•ti+�` Tatal requ�red veneuetion
Number of bedrooms ! Contfiuous ve�rtilatian
oirections-Determine the tota!and rnntinuaus ventilation ratr 6y either using Tabk N12Q4.2 or equation 11-i.
The table and equatron are below.
Table N1304.2
Total and Continuous Ventilation Rates(in dm) � S
Number of Bedrooms
1 2 3 4 5 6
CondiNoned space(in Total/ Total/ Totsl/ Total/ Total/ Total/
Sq,{{,) contirluou5 COntinuous GOnti11U045 continuOUS GontinuouS {O�It�nUWs
10�-15� 60/40 75/40 90/45 105J53 1Z0/GO 135/6B
1501-20� 70/AO 85/43 100/50 115/58 � 130/65 14S/73
2001-2500 80/a0 95/48 110/55 12S/63 140/70 155/78
2501-3000 90/45 105/53 120/60 135/68 150/75 165/83
3001-3500 100/50 115/58 130/65 145/73 160/80 175/88
3501-4000 110/55 125/63 k40/7Q 155/78 170/85 185/93
4001-4500 120/60 135/68 150/75 165/83 180/90 195/98 -
:4501-5000 130/65 14S/73 160/80 175/88 190/9S 205/103
5001-5500 140/70 155/78 170/85 185/93 200/100 215/108
55�1-6000 150/75 165/83 180/90 195/98 210/ip5 2Z5/113
E4u�on u-1 15 X S
�0.02 x square feet vf conditloned space)+(15'��bar af bedrooms•1�1�Totai��tton�e�dm) �� ���
�� , a 4 -�r , ��{
Tptal ventilation— e mechanical ventilation System shail provide su�oent outdoor air to equal the tatal ventllation rate � �,r-
a�erage,for each one-hour period according to the above table or equadon. for heat recovery ve�tilators�HRV)and energy
recorrery venttlators(ERv)the average hourly ventilation capaaty must be determfned in consideration of any reduction of
exhaust or out outdoor pir intake,or both,for defrost or other equipme�t cycling.
Cpntieuo�vantilation-A minimum of 50 percent of the total ventilation rate,but n�t less than 4Qsim,shall be provlded,
on a continuous rate average for each one-hour per�od. The portion of the mechanical ventilation system intended to be
co�tinuous may have automatic rycling convols providing the average flow�te f�each hour is met.
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Section B
Vernilation Methpd
Choose either balanced or e�f►aust oMy)
gal�nced,wpv�Heat Recwery venmaca.►or Env(energy Ext�aust oniy
Recnvery Ver�tilaWrl-dm d unR in low must not ezoeed coMinuous Continuous fan ratine in efm
venh7ation ratin more tlien 1007f.
�w,�: n�gt,dmc conttnuous hn rsting in cim(capac�ty must not eueed a ''�'1
continuous ventllatbn ratin moro than 100%)
Directions-�oose the method of vrntilot;on,balanced or exhoust only. Balanced ventrlation systems ore typical/y HRV or
ERV"s.Enter tMe!ow and high tfm amountt. Low cfm olr�low must be equa!to or greater than the requfred conti»uous
�jUg�gQ rote and le�s thon 10096 greater thon the contlnuous rate.(For lnstance,Jf the fow tfm is 40 cfm,rhe ventr7ction fon
must not e�cceed 80 cfm.)Automcrt;C controls moy ollow the use of a larger fan thot is opemted o percertrnge of each bour,
Sectio�C
Ventilation Fan Schedule
�estri ti0r1 Locatfort Continuous Intefmittent
FS ' Fc �h d
F n ' h � c 4�0 c,6
� M c✓ n�Fhr-�► S� c�"
v,r o
Dtrections-The ventllatlon fan schedule should describe whot the fan is jor,the/aation,cfm,ond whether it is used J�r
� contlnuous or intermfttsnt vendlorlon. The fon that is chose jor contlnuous vendlotfon musi be equal to or greater ihan rhe
low cfm oir rat/ng and fess than 100%grroter ihon the continuous rote. (Forinstance,Tf Ms low cfm!s 40 cfm,the contlnuous
ventlloilon fon must not exceed�cfm.)Automotn controls may alJow the use of a larger fon thot fs opeiated a percentvge of
epch hour.
Section D
Ventilation Controls
(Descrl6e im and mntroi of the Continu0ut end iMMmfttept vMG10UonJ
J � / � K
�f
' Dar' Gva. e�`ori L�
Fj � O G
Dlrectlons-oesatbe the operation of the venrlfation system, Thaa shou/d be odequate detafl fvr plan roviawers and fnspectws tv verify
design and ir�stallatioA tomplianrx. Rdoted Vodes afso need pdequote derotl�ar plocement of awitrols ond proper operatFon of the buildtrrp
venttloti0n. If exhaust fans ore used for build+ng ventRotlon,desatbe fh�opiroti0n ortdlotvt;an of arty mnools,inQirotnrs and/egends. fJ
on ERV ar HRV is to be inttplkd,describe how If wll!681mMlkd-ljit wiU be wnnected ond lnterfaced wftb the air handltrrp tquipm4nG
pleose dest��'be sach mnnect'rorrs as detorled in th�ma/►uJactures'k►stollatbn tnsiruttlpns-l�the installation instructlons requlrc or
retommend tl+e equipment to 6e IntQrlotked wirh the olr handbnp equlpmeat f fDr proper opemt;on,such(nterconnectlon sho116e made and
described,
Sedion E
Make-up air
' Passive(detenn�nad�►om wla,lasions irom Tebk 501.3.1)
Powered(decefmined from cauulations from�ble 9019.1)
InteAockad with exhaun device(detertninea(rom wlCu�etion from Tahle 5013.1)
p�hqr,detcribe:
Locetion of duct or system ventilation mvke-up air.�e�erm�a from makrup av op�nsn��w.
�m Size antl type{rountl,rectenptlsr,flex or rigid)
(NR means not required)
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I
,
' Direcdons-M order[�determl►r.B the mokeup alr,Toble SU1.3.1 must be fl/led out(see beMw), for rnost new;nstoNaHons,co/umn
,. A wiU be npproprloM,howcver,if atmospherlcolly vented applfcncu orsolld fuel appllances ore instaped,use the oppropriate
cplumn.for�r1p dw�el/fnpst,see/MCSOL33. pleose note,ff the makeup a!r quantity Ts negatrue,no additionol mokPup ofr will
be requir+ed for ventilotron,if the va/ue is poslifve refer to Table 501.3.2 and s/re!he opening. Transfer ihe cfm,sfse of opening and
type(round,rectangular,f 1ex or rigldJ to the lost line of sectlon D. The make�p a;r supply must be lnstalled per/MC SOi.3-?.3.
Table 501.3.1 •
PROCEDURE TO bE7ERMINE MAKEUP AIR QUANITY FOR EXHAUST EQUfPMEfVT IN DWELLtNC�S
Atlditional Wrr��p���p be required fpr CafltDustian applie see KAift mathpd fo�pkulatlons
One or muklpigpowet One or muktpte fan• One atrnospAerically wnt Multipie atmolphetk�lly
v��or direcc�e�t �sisted appllances and gas or oil applfance or ventad gas or o�l
appl�rxes or no power veM or�rect wnt one soltd tu�f appfiance apphances or soGd fuel
CornDustion appaances eppHehtes y���
Column C Coliann�
COlwlln A Gohann B
i
a?P�R 6ctor 0.15 0.09 0.06 0.03
cf s�
b}conditWned floor erea(sf}pnduding u` , � ' - -
uMiniihed bstem2nts f 6ra •
Estimatad Hpufg Infia�p�(efM�:(la �� �
x1h
i fxhaust GapBCPty �O �
e)oqntinuous exhaust-onfy venN�etlon �
sptem(dm)-'(�roc applicableto
bD�811CRd Vlntllitl0n SySterns sich as
HAV}
- n)noa,es a�ya�lctml 135 135 135 135
t�9096 of laraest exhaust roting(dm); ��
Krtchen hppd typkafly
(na appficable K rairculeting system
Or H powarad makeup air Is Noctrk�liy
interlociced end matcD to exhaust
tl)80%of nert�rgest aduust ratlng
(iirn):betM fen lypiopy � N ot
(not YpplitaGle it�ecir�ulatin�iyStinl
or If pawered makeup atr is elettriwny E1PpIiCBble
intErlod�ed and mat�h�d to exh,�65U
Totai E�,ause apaaey tetm►: y 55
18+Ib+2t�2d
3.Makeup Alr Quantky(dm)
.a)tota�ameust capac'�ry(from anovQ� M,S 5
b)escimeted nouse innivatlon{trom
e�� � �
Mal�up Air QverKity(dm);
(3a-3b1 .� p�L� �
(H vah,e is negetive,no makeup aIr ts
needed)
4.For makeup Air Opening Si�ir�,reFer ��a.
to 7ade SOlA.2
a use tMs column H there aro other tlan hn-assisted or acmo5ph�iaf ly veMed ps w osl�Ppiance or if tnere are no mmbusC�on appBaneet.(Povver venc and
directvsnt avu��as may be used.)
B. Use this column n there is one fan•es�ted appllar�ce per reMing system.(Appponcez other tl,an aUnosphe�ica0y vented appliances may also be i�quded}
C. use thia calumn ittfiere is one etmosphenaqy vented(other than f�na�tl}�as or a'I appitarce par ventl�ng sysMm er onQ sdid fu■I appliance,
0. Use this cdumn if there an mulGae atmosphencally vented ges or dl opplronces u�ns a eommon wrt or M tharo an atmaspherially rentad gas or o1
� app8an�s�nd soC�d fud appli�ncpg.
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Makeup Air Openin�Table for New and E�isting Dwelltnq
Table 501.3.2
One or muRiple power One pr muhipla f�e- One atmospf►erically Muliiple atmosplw�ipl�,
verN,dffRet vent assiated ippllsAtEs and vented ga!0�oil VEnted gat 01 oil DYR dilM�tQr
appGanCes,or no power vent 0�Oirect epptisnce o�One sdld appllanop�pr���d fuN
Combustion ppplientes vent eppliances fuel8ppftana ePP���s
Column A Columm B Column C Gohimn 0
Passive op�M^i i—36 1—22 1�15 1_9 3
P63SiYeOpenin` 37-66 23-41 16-28 10-17 q
Passnwopar�n� 6�—iQ9 �2-66 29—a6 18—=a g
ies#vaopsfling 310-163 67—lOQ q7-69 29,� B
Pas¢ve ni 164-232 10�-113 70-9Q A3—fi2 �
Psuive ' 233-3�7 144-195 100-135 bj—g; $
P859iv20peni� 318-419 198-258 136—»9 84-110 g
w/moton=ed damper
• P�ive opening 420—539 249—332 180—23Q 111-142 10
w/motofized damper
Passivecpening 540-6�9 3d3-419 231—�90 143—��g ii
w motorized dam
POwered makeu aiI �679 a419 �290 >179 NA
Notes
A M equivaknt kngth of 100 feet of round smooth metei duet h assumed,Subtract 40 teet for the eiqerior hootl and tm teet for�9p.de�ree eibow tp
detertnine the►emainin�length of straieht duct allawable.
e.if flpGble duet is usad,i�c�ease the ducc dremeter by one inch. Fkxible duct ahall be stretrhed with minirr�l rads.Compressed duct sAall noc be acaptea,
G Buometrrc aampers are prohibnetl in passive makeup air openu�gs whm amr acmoxrher;celly varrcsd appl�rKe is instaUed.
D. POWered makeup air�haQ pg electriaHy interlpd�tl with the lerOest ex�aust system.
SCCLl0�1 F
Combustion air
Not reqvired per medteninl mde(No etmosplleric or ppwer yented appliances)
Passive(see IFGC Appendbt E,Wo�k911aeI E•1� 5'iu 8f1A type
Other,desRlbe:
EXplonation-If no atmospheric or power yenied appliances ore installed,check the opproprlote box,not►equrred, lf a power
vented or atmospherlcolty wented applJanoe insta!ler;use lFGCAp�ndfx E,Workshret E-1(see bdow). P/eose er►ter size and type,
Combustion air vent supplies must communitatr with the oppliorm or oppNonces thot require the combusNon air.
Section F coltulatfons follow on ihe nezt�ppqes.
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Directfons-7he Minnesodv fuel Gas Code method ro cvlcu/ote to size ef a required combustlon oir open;ng,is called the Known Air
!�'rltrotion Rofe Methvd- for new oQnrtr�,,/b of st,ep 4 ts,tyuiri�d to be jllfrd out
iFcc qppendb��,wo►�csheet e-i •
R�identiel Combunlp�Ai�Ul�ulnipn M2ttwd ,
(for Fumace 8oiler o►Water Heater in the Same )
Soep i:tampkte vemrd eombuatmn appliance Infwmation.
Fumace/Boiler. �
• _Drak Hpod fan Itssiated �Dirett Vent inp„r. ;b O��
or Power Veni
Water F{��; �/ '
�Orah Hood �Fan AsststeC _Oirect Vent Input / ��,4d�h�
or Pawe►vent
st�2:L�kulatE the v0lume of��pmbustioll Appfisnca Spate�CJ15)containing com'ti�tlpn spplianceR �
The G0.5 tiuludes atl spaees connected to one mother by cade cer�pfiar�t In
�u _ °P�^ BS• CAS voluma: � ft°
LxWxH L . W��H
Slep 3:Determme p;r Chan6a per Mour{ACH)1
Defauk A�►�yaluls have heen ineorporemd Into Ta01f E-1/pr vse witM Me[hod qb�I�AIR M�q�pd),
If Me r of�p��n w ACN is not krrown we method 4a($p�d0rtl Method).;
Step 4:De(e��pe Required yolume for CombusUon Air.{DO NOT GOUP(i' Drt�G7 VEPR pppUqryCES)
�e.Stendard Mechod �
Totet Btu/hr input of all comDustio�aDpliances �nput I�;,1`OOC�p�/h�
Use Standarcl Meehod column in Tabte E-3 to f1nG Toral Requircd TRV;���h�
Volume(iRV)
�t cA5 volume(�rom steP 21 k prel�Ml'tl[�1pv ehen no outdoor openings arc r�eedad:
+ It CAS VOlume(frorn Step 2(!s A�th�n TRV Clen go to STIP 5. .
�b.Known Nt��Itntion Rne(KAIRj Method(p0 NOT COUNT OIRECT VENT APAUIW�$)
Totel Btu/hr input 0�ell faD-nstsced A11d power veat appti�ntPs Ir�puN � Btu/hr
Ux Fsn-AsSateC Appliao�es cplurnn in Table E-3 W flntl RVFA: {�
Requir�Volume Fan/1ssi�ad(RVFA) �
Total Btu/hr tnput of an N�tural dratt avvGsnces Inpy�;_., _�g��
Use Naturol dreR Appltances mlumn in Tabla B-1 to flntl qVNfA:T�n+
Requked�oiume Natural drpR apppaneas(RVNpq) .
Totai RequifAd Yokune(TR�=RVFA+RVNDA TRV= +,_�= T��
�F CAS VWume(frpm Step I)B jpep4e�tl1m)TRV then np Wtdoor Opanings are needed:
ir CAS Vdume(irom Ste 2 B less tha�TRV ther► ta SrEn S,.
Step S:Calculate Me retio of ar�ilable interior wlume rn che tote�required volwne, '
liitb=CAS Vtlume(from Sttp 2)�Bdded by?RV(from Step 4a or Step Ab�
rt.ao.���fs �3dioo = • 4/G
Step 6:�u�dte RetlWction FacWr(RF), .
RF e 7rMblut'RaNO �a 1- .• 4 ��p a �
ftep 7:Caiculau�in�p ou�tlobr opening et�F a9 tombustion^d�r is ffom outalde. �
Tvql 8tu/hr Mput M a►1 Comb�Applqnoes in the same CAS �' mpuT; �}Q�c,�dQ Bh,/hr
(fi7(CEP7 DIRE�T VENT� . •
Cvmbustian Air Opening AIEa(LApA�:
TataLB hr d�etlby 3000 Btv r r in' ` UtOA= 3000&u/hr a in=• / � fn�
Sbap B:Calculate M�nimum GOA
? Minimum GOA=GAOA m kd RF MifNmum GOA= �3 l J �, = i 3 ��� in=
StRp 9:Galtulate[omp�sppn qir Opening Diam�er(GA00) '
CAO�=1.IH m�by the�+one root.oJ Midirr��ium Cp,O S CqpD=1.13 J INlnimum GqpA•��•n.tCiameter d�i r�
u one inch in si=e if usin flex du�t """""""'�""' ,� � ��.�
1 If desired,A[H pp tl�dltE►minEd usinp ASMqAH eakulition or blpwet door tQst Folbw prp�ures in Sectbn 1 �
G30A. '
G:�Forms\VeMhAakupComW�irtalsalSiLdoa Page S o�'6
iwc nP�nd��,r��te e-i
Residential tombustlon air(Required Interior Volume Based on Input Ratin�of Applisnce)
Input Ratlng Standard Method Known Air Infikratlon Rate{KAIR)MethOd(cu ft)
{���� Fan Ass�sted or power Vent Natural Ortk
1994 to pr�eM Pr�1994 1994 t0 present Prt199�
S�OOp 250 375 188 525 263
10 000 500 750 375 050 525
15,000 750 125 563 1,5]5 788
20.WP . 1000 1,500 �50 2,�00 1.050
25,0� 1 Z50 1,875 938 2 625 1313
3p,Opp 1500 2,250 1125 3,150 i 575
35,000 1750 2,625 1,313 3 675 1,838
qp,Opp 2,000 3,OD0 SDO 4,200 2,100
45,000 z.Z50 3,375 1,fi88 4 725 2 363 `
50,000 2 50Q 3 750 1675 5,250 2,625
55,000 2,�50 4,iZ5 2 063 5,775 Z,888
� 60,000 3 000 4,500 2,250 6 300 315Q
65 000 3 7S0 4,675 2,438 6,825 3 413
70,000 3 50C 5,250 2,625 7,350 3,fi75
75,000 3,750 5�625 2,813 7,8'7S 3,938
80.000 4,OD0 6,000 3.000 8,400 4 200
85 000 4 250 6,375 3,188 8,925 4,463
90 000 4,500 ' 6 750 3 375 9 450 4,715
95 000 4,750 7,125 3,563 9 S 4,988
lpp,ppp 5,ppp �,500 3,750 10 500 5,250
105 WO 5,250 7 875 3 938 11,025 5,513
110,000 5 500 8,250 4125 1 550 5,775
115 000 5,750 8.625 - 4,313 12,075 6,038
120 000 6,000 9,000 4,500 12,600 6 300
125,�� 6,250 9 375 4 688 1 125 6,583
130,�0 6,500 9,750 4,875 13,650 6,825
135 000 6 750 10,125 5,063 14175 7,088
140.Qpp 7.Opp 10 500 5.250 14,700 7,350
1a5,000 7,250 10,875 5A38 15 225 7 613
150,�0 7;500 11,250 5,625 15,750 7 875
155 ooa 7,750 1 625 5,813 16,275 8,138
160.000 S,OOD 12,000 6,UD0 16;800 8,400
i�,ppp $,250 12,375 6188 17 325 S 663
170,000 8,500 12 750 6,375 17,850 8,925 „
175,000 8750 13,125 6,563 18,375 9,i88
lgp.ppp 9,000 '13 500 6 750 18 900 9,450
185,D00 9 250 13,875 6,938 19,425 9 713
190,p00 9,500 14.250 7,I25 19,950 9.975
195 000 9 750 14 625 7 313 20 475 30,23E
200 060 30.000 15,000 7,500 21,000 10,500
205 000 10,Z50 15 375 7,688 21,525 10 783
210,000 10,500 15,750 7,875 22,050 11,025
215,000 10,750 16,125 8,063 22 S�5 11288
220,000 11,000 16 500 B,Z50 23 ip0 1 550
225,000 11,250 16,875 BA38 23 625 11,813
230,000 11,500 17,250 $,625 24150 12,075
1. Tha 1994 da[E f2fefS LO dWE1Mgs ConS[NGEd undef thi�99a Mhln4sota EnefQy Lodt.The default I�AIR us�d in tfiiS slCtipn Of tne tehle li
0.20 ACH.
2. rn�s secdon of the table�s to be u�ed tor dwdlinis conscrucud prior m 1994.Thn delbuU KAIR used in this aectia►of the mble is 0.40 ACtL
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RPR-24-2013 10:56 From: To:7633900939 Page:1�1
-° ^ Hottieowner Heat Loss and Equipment xdent��ratian Form
Homcowncr �}'�q.y `'1 b'�`�S :Gas Contractor �fi'�c.w ic.Q�t,� �oqS S�,rv�5
^ Job address I 5 I C� o r�� PI^Iyl or0�;Contr Phone �i�2 �4� " 31 ��'
:Contr Phone �c�v� �q �q '�`�s3 g'
City of Minneapolis rcqui�es tfiis heating heat loss form for ti�maces'snd boilera installed in single fl�mily homes or
duplaxes ba fsft at 1he job stee. ':
Do not submit the heating load ca�ulations with your pertnit applicaiion.
(No1e: Yau can use thr form you are pre.rently using,as long Jras�t hlas all thc iaformation cwrrai�red on the Ciryform).
Measurements s�ad c�ica�atioas: �
1. Sq.Ft exposed walls xbove gradet��.���sqft x"U" ► �6 �x 88 degrse dcsign tempaaturc -��t ���''
(Nwe:A typica!hc4 wall wtth?x4 wooil frau�irrg without insalati'on has
a U.»lue of 1.08 and o walt wfth 3'/r'�of uuulation has a "U"value of 0.063.)
z. �,.�.of�a�����-..�....�. ��__ .— �i�4 �ft x�•��• ,d�ax 8$ _ W , 3 7 7
{iJote:A rypical?z4 fr�ntng with S"of r�rsr�laliv►e has a U value:
of O.dS,wbh 9"of In�ilm;ar has a U valur a/'0.032.) �
3. Sq.ft of basemern floor anea below grade---------,- -- ��sqR x 3 Btu's/Sq Ft = � � �6 �
4.Sq.ft.of wall erea below grade�-------_____��__.__._..��_ �do�sqfl z 6 Btu'slSq.Ft = �1 ro'�
S.l,in.f'c of blfthCatipn for wiu�dows----------- --..----- ��'�' x(.S)X I.0$x=8 = ��O 1..�3 a
6.Lin.�t of infilcracion for doots-------------------- -------- �.�x(1.25)X(I.OS}x 88 � �l ,�•5
� 7.Lin.Ft of infilaation for slldtng doors----------------.----- a�x(.73)X(1.08)x 88 � ,��
8.Allowanve for exhaust fAns:600 Btu's per kicchen fan 200 Bhr's per Bath fan-------------------_ � i�}O�j
9.Allowance for tireplaoes: 1,500 Ba's each --__�._.____. : ���._ . �-��- � �.�j��'.
t0.ToblBto iots for�ll abdre i� I = �,�_���
11.Add for comb�tion aa(0.001)x nd►os9 gbove x(12.5)x(0.075�)x 88-------- = rj( � �
12,Total lina 10 Aad 1 a to determine be■t lowe(Or subatltaie l�sa{loss jron�othe� � � / � 7� � ��
13.Safety t�ctor—Mdltiply heat losa by 1.10 to deteraaiQe,dditionat allowaace------------ � ����
(Tlllf l!tJIE 9�tE ftd71RCB}'OU SJfO1�Id i�R ln t/!is JJ/YCIUI'B. Tiie code da'es altow you ro usa the neri slze available provrdtng
thw the approPriate equipment is not rradily avai/able.Equipn+ent whoae capactry exeeeds the design load may be ased{'f
rhe overall ur,mrcl energy cosrs ars not tncrecraed) -
'i'he undersigned,as applicant for s heating pe�mit,heroby affirms the Abovo information has bean prepared by or for
him/herself,or anda�hisTha dircetion;hcccby acknowledges the infor�ation to bc oorrect and eoc�us�u.
pmposed fuma�ce/boiler size:�o��tu's. Proposed fiunace/boiler make: C����iNIGi 1�,�
Proposed funn�ac odel no. �Q � �r
_ �
signature• � pac�: 1-/-a 3 � 13
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