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C '0IVr IT) I jjU 1-/ ()N TON () /V/ I_) G fli/ f'h Y.CONTENTS.

,30 I. NOMO&RAltt1 FOR CIRCIJLIJR S EGM£NT:J. Ng I...

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306; NIJfo1ERICAL TABLES OF IIERSED SINES. - 0° TO 6:

322 .. NOMOGRAM FOR PROPERTIE5 OF AMMO#lil- VI/POll. -NJ 2.

323. NOMOGRAM FOR PROPER TJES OF LIQUIO Atvlft10NIII.

32.f. IvOft10GRAM FOR P/?OPERTI£.5 OF AMMON/I! - VAPOR. - Nf: 3" J

325. NOMOGRAM F()R RECTAN6IJLIIR RETAINING w»: L S. - Ng JIl.

330. ILLUsTRATION Tt)NOMOGRAPtlY.-LINfIlRIJERIYEO SCI/LES.

33/ .. NOMOGRAM FOR fv1AXIMUM THEORETICAL C!lIMNEY ONI/FT.

33'3. NO/t.-10GHA,V/ FOR DRAFT-LOSS IN CHIMNEYS.

33'1. NOMOGRIIM FOR FLOW OF WATER IN PIPES, -N� I.

335. 5Akl£ AS 1180VE. - N� U.

336. NOIr'/t) 6RIIM rOH R£CTIINGIJLAR RETIi/N/NG WlIlL� - Ng .rs:

337. N()/'�, OtJffAfol FOR FLOW ()FIVIITER IN TRAPEZO/IJ/IL CflIINIYE:"5.

j38. N IJlvl0GRIIM FOR CIII'II CITY OF EXHAUST HEIITING PIPES.

339. NOMOb'RAfrl lOR SIIG IN WIR£S-NgLt.(APPRO�. PIINIIB. E(JU.)

�i/�. lVI)/l)Ot;XAM FOR CORRECTION TO TEL EMETE8 DIST­

IlNl'£ ( TRIGONOMETRY� L IIS£ /V� 2).3f't. NOMOl;RAl1 FOR CONTINlJOUS Rt-INFORCEO CONCRETE 5LAl3S�

3'tS: NOtvllJ&)(AM FO!f rO�V£RFAc70N tJF BIILI/Nell) TIlIi'E[-fHIIS[ CIJrCUIT.5.

3Lt6. Nf}/V/{)�/fA,�l FIJR 11£11 T TRANS FER IN SURFllCE CONtJENSERS.

3'18. NOft-10GRAM FOR R£ IN FORCED CONl'/j'ET£ COLl/;\1/t'S.

3Lt5l. N'otv/OGRIlM.5 FOR VIlLl£ Y-AN6L £ S ANO HIP-ROOFS.

350. �RIlPH/C TABLE fiNO SLIOE-RtlLf FOR FUNCTION: //lQ'Jt.2�.COMPL£TE/) TO FE8. 6' 7? Ilf2·7..

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70 60 5() fO 30. 20-t_: RADIUS OF CIRClILIlR SEGMENT. - IN INCHES. - ONNEGULIlH SC/lLE.

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0"-30'0. (JO(}03 80769 3582'J f 75!J5� �O/6tO�t5((J. (}0008 56727 251�3 6 6632t /76/6

r:o:O. 0(1)15 230'18 '1360' 8 56680 76't82

;0-/5'O. 00023 79729 2IJ091 /0 '17021 O�3,2

t'-30'O. O()03't 26750 2 ffLt3 12 373Lt 1 388ftr:t."O. 000'16 61(09/ 63287 1'1 27638 17617

2O_0'o. 00060 9172 � 80c;JO't /6 /7J07 73373

2°-/5'0.00077 07637 59277 /8 0814'6 58865

2"-30'O. 00095 /778'1 181LtZ /9 98350 !J6'J07

2D__'t5'O. 001/5 /613� /50Lt9 21 88517 30377

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O�f5' 0.000/5 23065' 35/)9� /6 91';90 r 8326//�o( O. 000/5 230'18 't�6(}1 21 7f7fl 't 832f3

Jt3__15' O. OOO/S 23026 68858 26 5799f r 83 225"

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2D__ 0· 0, ()0015 22932 "t5226 -'II 0759/ � 83//j/

2!./5' 0.00015' 228'1 3763[ +5' '0732 f 83 107

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3Q-O'0.00137 Of6S2 f5�26 23 786tl �7225"

jCl_15'0, (}0160 8329'1 �2651 25 68721 35f82

:r..30'0.00186 5201; 78133 27 5B751 83263

3·-Lt;r0,0021'1 /0767 61396 29 �872' 78780

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o. 002 't3 59 it 9 7 l'0 1 76 31 386!J'/ 60338

fD__15I0.0027'1 J8/�9 005'1'1 33 28513 66358

;�30'O. 00308 26662 66872 35 18 312 35361

f�t5'0.003'13 'tf975 02239 37 080't1t 06021

5�0'O. 00380 530/9 08260 38 97705 17078j!15'o.00'119 S072't 25338 fO 87292 07f83

5"-3()f0.00'160 38016 32821 12 76801 16267

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.3 f1__15 , O.OOOIS 22678 76227 65 .229/0 It 829303�30' 0.00015 22613 53317 70 058f,0 � 82876

3C_ 'IS' O. 00015 225'13 Lt 7'177 7'1 887/6 t 82 819

f:o' O. 000/5' 22'168 58761 79 71535 f 82 759t215( 0,000/5 22388 8722€ 8ft 5'129'1 f K269f

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f�'t5' 0.00015 2221'1 955Ltt 9'1 1361'1 r 8� 5,,,

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50...30' 0.00015 219 /7 �,)5/� 108 670'17

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500H= TOTAL HEAT OF AMMONIA GAS ABOVC- �O·r., /NBRITISH THERMAL UNITS PER POUND.520 550 570 600 620 650 670 70(J . 730 760 7'10 800 850

�1""A6£ OF t-10IS1tJR£=

ptRC£IV no�/D%

30":"� ,.

SUPER f/£AT IN DE.GREES FIIHR£NIIEIT.

100. J,.OO· 300· 'tOO 0

500\ 1000

\ SlIPERII£AT IN\

LIQUID.S/iTURAT10N

LOWEST

ENTROPy./.6 /.7 1.8

ALL SCALES liRE ENTIRELYEMFIRICAL, EXCEPT /IS SHOWN.

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PATA FROM CARTESIAN OIAGRAM� EMBODYINQ If£SUl rs, OF TESTS BY THE UNITEDSTATES BUREAU OF STANOIlR[)S. S£E : "ICE AN/) REt:;RIG£RIITlqN", .I{/NE� /.922, P. Lt6/.

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�------------\--THIS ENIJ',OF SCALE IS LOGARITHMIC --."..

OLI/ME OF AMMONIA GAS -IN CUBIC FEET PER POliNO.

C V .. 2 3 It 5" 6 \ 8 10" 20 30 'to SO 60

S PEe Jt I ,.5. I. ..' .... 1 . . .• 1 •••• t r I T \ I TIT I T I I I I I T \,

USE SCRL E FOR PRY 0.7 I.

VAPO�. - CVRVES FO�WET R£t;ION.

T= TEMP£fl�TVRE or SATUR�TCO 'IMMONI;:J-GAS AT PR£5.SURf: P.- INO£GRE£$ F"IHRENH£IT.+220 +200 +180 +160 +1'10 +120 -too +90 +80 1'70 +60 iSO .. �D dO -zo -tID 0 -10 -20' -30 -'10

I I I, I T I I' I - I - I - I ,t T ..... _ ... T \

1000 800 6'00 SOD »oo 300 200 100 80 60 SO .fo 30 .20P= Ae.s ocore PR£SSUR£ OFAMMONI/1 GAS III »aos/o s PER SQ.UAR£ INCH.

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NOMOC;RAMSFOA

PROPERTIES OF l/&UIO AMMONIA ..

H :::"H£AT OF THE LIQUID" FOR AMMONIA, ABOVE -�OOF.-IN BIUT. THERH. UN. PER POUllf).o 10 2D 30 "to SO 60 70 80 !JIJ 100 //0 120 130 l'tO ISO 161J /10 180 /10

111"r 'II II'rfI'Y 11'1t \llllllflll \�I �!II�!IIII'(II" III \IIPjlll/ PIIII'III'IIIV \111111/1\1�lll wll T Illillll� III r� T�III �IIIIIIII ill I ,111111111 \11111'111 �I '111111/1 \'11111'1'1II 15 2.0 30 �O 50 60 70 BO so /()() 150 . 200 300P::;A8s0LUT£ PRESSURE} CORRESPI'NDINt; ro''H;--: IN POUNPS PER SQUARE INCH.

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ACCORD/Ny TO o.e. /3UR£AlI OF STANDARDS 'AMMONIA - CHART" - ./Ul Y 1!l2,2.

cte!)H= "HEAT OF TH£ liQUID" F(}/� A�MONIA,ABOV£ -�O°F.-IN iJH/T.TII£/l. UN.. PER POliNO.

o 10 21) 30 �O SO GO 70 B 0 ·90 1(Jt) //0 12,0 130 MO ISO 100 11tJ 180 190

III uJllllh 11111111 Ii I fllilpi '1'11111111 Tllll1111111rn d "I III lid 1IIIIn � 1/11'11111) 11111"111 fI nll' 1I11I1'�JIIllllllfllill \lllllIlljlll �lllll q 1111 IIIIIIII!I l,d II' rIn 'III'nll'lllIlll 11111 II III�III IIII I I IllL I r [III J f orf I 1 IL [ I

-1'0 -30 -20 -10 0 .,.,0 +UJ -+30 +"0 50 60 70 80 '0 100 110 120T= T£MPERATUR£;COflRESPOND/Nt; TtJ'H,"-INOEI;R£ES FAHRENHEIT.

ACCOROINt; TO U.,S. BUREAU OF STANOANOS'AMMONI/I-CHART:'-JVLY 192.2.

T= TEMPERATURE OF AMMONIA -lIQUIO, -/N /)Ef;HEES FAIIR£NHEIT.-"II) -30 -20 -10 0 -110 +20 -+3«1 +�o 50 60 70 �o !J() 100 110 /2,0

II I II h II11 'I' I II II Ji" II Ii II i 'I, II II I II 1I11 I' I' � I d I I I Ii 11")" II I,,, d I r "1' III 111111I I I Ij I I I I I i I I I I I I I I I I I I I r I I I I I I II I J I I I I I I I

101'1 /.075" /.1J76 /.08 1.00S /.09 1.095" 1./0 1./05 ut I.us J./2C'm.,::AVERACE s,eCIFIC HEAT OF AMMON/A-LIQUI/), FROM-10or, TO TEMP-INOlcATED.

CAl.CI.ILA TEO FROM ABOVE: DATA. (U.S. B.0.8. DATA.). /O� IN THERH.UN. (LB.-OEIi.CJ PER POUND..:)

·Hm = "HEATQFTIIE lIQUID"roFl AMM()IIIA,JABOV£ otla�-IN CALORIES PER KILOGR(lM.-�D -'fD -30 -20

-lOOt'1:14••30. nO 50. 6V. 10 80 '90 -/00 110 124 /30 If0

l'lllb 1111111 dill Ii I'liltlllll' \Ihll � 1IIIllllih I'0111 � r 111111111 �Il i 1111111 � 1111�nl\h Ip�l!m II� I' 1I11 n!I'�! I filii I nlll�llllIh II d 1111111111111111111'1111" 111111111U "11111 filII I 11 II I II II III! II Ij II I III ( '1 I] IlL I � I I III 1 I !j

-1,) -2.0 -10 0 +/0 .,20 ...30 �O 50 60 10 80

� = TEMPERATURE, CORRESPOND/M:i TO Hm. - IN IJEG-REES CEL.S/VS.ACCORDING TO "ENTR()PY-TOTAL-HEATCHARr'BY INST. OF MECH.£N6. (''IJNDO/(j. - (}CT.191.y.

H6,."f::"HEATOF THE LlQUIO· F()R AMMtlHI1A80YE32/'F.-IIIBRIT. 71/ER. UNITS PER POUND.-51) -�() ...30 -20 -10 0 +11) +20 .,3/J .,"0 511 60 70 ao 30 IIJ() 120 15"() 180

I' lI\h 'lIh 1I11''ldpl'llliillll'111l\111!ll1!rllllflllllllll'llri'III'jlllll I! I � 1 q P � I PI10111 411011 aqllllllOlPllllfllllp.llp 1'1;1-1:111 [1:1:,111'1 n :I-a rilli :'Foqllllll\lilllqllilo Llljllf114111111:11 p IICIIIII[II;I Cllln�1 il(11i-10 0 -410 .. 20 +30 .."0 50 60 10 80 90 - /00 110 /2.0 130 no 150 /50 110

76.= TEMPERATURE, CORRESPatlD/Ilt; TO 1It-.- IN OEGREES FAHRENHEIT.REDiJC£0 FROM "ENTHtJPY- ToTAL -HEAT CHANT"BYINST. orNEe#. EN(;./LIJNO()Nj - OCT. 19/�.

T- TEMPERATURE OFAMHdNIA-LI(JUIO,- III IJEGR£ES FAIINENJlEIT.-10 0 .,/0 +�O -130 +'10 SO 60 70 80 ,I) 1M 110 I2IJ 130 '''to /50 100 110

1111 Ii III dlllllilliIT 1111111111111111'1111" II '1'11111"11111111111" 11111111"1111111111111111111111 h IllIlIlllllld n 1IIIIIIII'IIIIII11111111111D 1111111 � 1111111111 1111 � III� IIllt'lllI I L I r I L I I I I I I I I 1 I I I 'l�ll 11 l IUJ7f /.08 1'()9 /./0 /.II /./2 /./) 1./7 1.20.

�=AVERAGE SPECIFIC HEAT OFAMMONI(I-L/fJUI/J FROM-�O°r.TOTEMP./NOICATE/)'CALCULATED FROM ABOVE DATA (LONOON PArA.)

'. COil IIY THfRM. UNITS(LB.-Of.G:.cjPR,Mf/N0:lHrn="HEAT OF THE lIQUIO"FOR AMMONIA, A80VE O°C,-IN CI/LORIES PER KILOGRAM,-21) -10 0, +- 10 +20 30 -'to 5'0 60 70 80 90 100

111111 "111111111111111 '1111,111, I ud II n J 1111 11 III til n 1"111" II 11" i� 1111111111111111111 " nil II 1fT "l II II "l I II Ii 1111 IIIIII(1 II] ilL I II r I I I 1]1 I I I I [ J I I I

- 0.10 - 0.05 0 iO.OS +0.10 ...0.15' + 0.20 -+ 0.25" -+0.30N:::: E.NTROP Y Or AMMONIA-LIQUIO, CORRE3POtlO/Nt;. TO Hm.ACCO/?O/HC TO "ENTR()pY-TOTAL-HEAT CHART" BY INSr. OFMECH.ENG.(LIJNOON) ... OCT-19If.

c/u_"CA2.ffo:, of,a, .

copy RIGHT, 1922 BY M.J.eICHIIOflN.

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5tJtJH == TOTAL HEAT OF AMMONIA liAS A80V£- �O°r.� IN BRITISH THERMAL UNlrS PER POUND,520 551J 5.70 600 _ 620 _ _ 6$0 670 7(}O 720 : 7fO _ 7'lO. _ 8{)D 850

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SUpeR H£AT I'" D£r;R. FAHR .

500 JOo2(Xf /'

3000

uall/f) AMJ't10HIA.SATURATION

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f£RCE"rr!l6£Or MOISrdR£ OR cU-'?v,d.

3020

10 - .,�00

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AT 70 L,8$. PR.�Q.IIf. FIND: T,I?OPy or" I.' ,

V:: �./2 CUB. FT.I'R. LB; II ::/./; H= 628 /3,T.(J. '.' /lMMotkl/iPR.LB. -IF lOMPRESSED ADIABATICALLY TO $/00 LSS. , Q/I�,PR SQ. IN. THE SUPERHEAT WILL BE /�o�1; A/Y/J:H= 75\5' B.T.U. PRo LB,

VOL UME AFT£fi C. OMPR ESS ION NOT 08"'-IIINABL E. FROIM PftT/I. /.sNOTE: DATA FROM "ENTROPYr70TAl-HEAT CHA'{lT" BY INSTITlJTIONOF M£CHANIC4L

. ENfiIIYEERS) ocr.�6!!'19ILJ, SEE "ENtiIIV£ERIIV6QrLONOON), OCT. 23l!P/91+.,

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V= SPECIFIC VOLUME OF/llMMONIA-V/IPOR IFQ!? SATURATED V'IPOR OIYLY). - IN CUBIC FEET PER POliNO.0.'1 0.5'" 0.7 // 1.0 2 3 � 5 6 7 8 10 20,30 �O

FaR. SIfTlJIfAT£D VI'lPOA

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, \T= TEM P£RATURE OF SATuRATED AMMONIA-t:fAS \Ar PRESSURE" P, - INiJEGR£ES FAHRENHEIT.

.,.220 of 200 +180 � /60,,� +1"-0 • +/�O . +10.0 +,� +�O no +�o ��o +�f! i30 12.0 -to 0 -/0 -20 -30 -fo.\

1000 BOO 600 500 "00 300 200 100 80 6tJ SO LJO 30 2.0p-:::. ABSOLUTE PRESSURe OFAMMONIA (iAS IIV POUNDS PER SQUARe INCH.

NOMOGRAM .

. FoA

.RECTANGULAR RE rA.ININt; WALLS. .m:.

.

VALIJE S OF l' =. ANGLE OF REPOSE OFEARTH·WORI<.{ON8CALE: �(/-J.-I�?);o· 21: 2�" 26°, 28° 3/)0 32° 34" '6° 38° 10" �2° +t· -tSD

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', FORMUL.A:

1+ '�2f _' A _ +I

_� (0 •

»,- -

W A'IJ£R/VEO FROM COJ.)JIf;IVON·S FORM,ULA.· ,1�-I��J"t;I1dfJ-lcn2p:::o;

:;EE D'OCIiIiNc) THAI7£� p. 115_,//8_,2-t3.(£O./89lj. S()REAI/,/,.211� 3+:3�1/" .

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p:::: Ii'ArlO Or SPECIFIC q'RAVITY OF EARTH-WORK To 71IATOFMAS()NRY.D.lt

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0.5 0.6 0.7 \ 0.8 0.9 I

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A=/NTERMEDIAT£ VARIA8L�1 ('oN LOGARITHMIC .sCALE).-3 2.5 � U Is 1.7 • .6 ,.S" I/t /.3 1.2 1.1 I

0.20

3 l.' 2A = INTERMEDIATE VAR11I81.£ • (ON REtiUL.AR

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\I

\\\, £-rAI"./JN�.a£CT,4�(iULAR RO ...;, 036 038

£ TO HE/GilT of 0.16 0.30 O�2..

It - RATIO of BAS0 7..� 0.25' 0.'L6

0;'\ O.?2 0.2' .

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'mEN WITH THIS VALVE ott,,,,,

,\

EXAMPJ.. e ," t;IVEt( : � = 30�, P = o. 75:J FINO: A::/, 78.L(}WeR HALF" FINO .. N=O.300l

11'5" -t-t0 Itz· �OO 38° 36° 3+. 32° 30· 28· %6° 2fo 2T 20°VALues OF" (/J:: A/'It;LE OF REPOSE OF E/lRT/I-wORK ( oN NA71JRAL 7;t/ft/GENT .sCALE.

0.23

<,

r-:

.� �"

v,

� C) c:::.

�� �I II I'

� � til

��,,\'

't>.....

����

� � �

�N� �

�

�

� �

�,,��

:::-t �

�,

�

��"..:J

.�

r-,r­en

NOMOGRAMFOR

MAXIMUM THEORE TICAL CIIIMNEY-P/?AI'T.

ttt.: :TEMP£RATI/RE OF OUTSIDE AIR - IIV O£GR££S FAHRENHEIT.-/0 0 tID 20 30 ltO 50 60 10 80 ,0 100

I

",SO �60 '170 '180 '190 500 510 1'20 530 j�O 550 560

�-= ABSOLUTE TEMPERATURE ()F/lIR - OEt;/tF/IIHR.-ON INYER5£ VALUE SCALE.

/

II

FORMULA: /, D/H ::: A = l7.6�/TQ.j -; [7. 9S'/TcJ;

SEE: GEBHAROT; STEIIM P()WER fiLl/NT E/y�;/N£ERIN�, 5 Til£/),.1 P. 282.I

I/

//

//

tc== AVERIlGE TEMPERATURE OF CI/IMNEY-6AS£5.- aees. FAHR.100 200 300 'tOO I 500 '00 700

!.

1550 '00 . 700 '800 / <]00 J�O 1100 1200

r;:: IIBSOLUTE AVEH/IGE TEMPfRATU/iE Or CHIMNEY-�/I�E�- OE£;N. FAN!?((}/Y scnlE OF INVERSE VALUEJ).

VI/LIJES OF A=/NTERMEOIIITE VA!(IA8lE.- ON REf;VLAR SCI/LE.0,002 0.003 0.00'1 0.005 I 0.006 '.007 0,008 0,009 0,01

I

0.002. 0.003 O.OOIt 1),00$ L. 0.006 0,008 0,01VALUE 5 OF 11 = INTER MEo, VARIABLE - ON l061lRITHMlc seAL E.

//

//

sXI/MPl E: Ii/YEN: ttl.:::6(rF; tt: -= flO of_,- 1112()() FT,; FINO: /)= /.// INCIIES./

//

/I

/'/

I,

. 1000 500 'too 300 /200 100 50H=HEIGHT (EFFECTIVE) OF 'CHIMNEY IN FEET. - ON LOtj.-.5C/lL£..I

� 3 2. I O. 8 0.6 O. f O. t O. 3 0.2, o.tsD=DRIIFT (MAXIMUM TII£OR£TICAl)- IN INCHES OF ·WATEN-CIJLtJMN.­

-ON LOG.-SCALE.

vIt/�. (I'\./VlY-28'0' /923. �

NOMOGRAMFOR

fJRAF"T-LOSS IN CHIMNE YS.

V= VELOCITY OF Fl..UE-GASES. - IN FE.e-r PER SECONO.II 12, 13 lit 15 16 18 20 30

I

II

I

FORMVLA .. /

t.=: 0.008 L V�/o'Tc ;UPPER PART: O. 008 V�L)=A; MII)OL. s PANT:, A/T"c ::: B; L(JWER fltlRT: .It:/. 8;

,

j)= J)IAMETER OF CIRCULAR FLUE OR CHIMNEY. - IN FEET.I .2 3 It 5 '/0 20· 30 50 }OO

I

UScrVL

I

FORMUL.A BY A.L.M£.NZIN" SEE "J7£IIM BOILfR £NGIN££RIN&''(HE/N£J,p,/�3,I eo. OF /�20,

,,:.02910 8 G.5 It 3.2 ,\ Q8 0.6 0.' 0." o.�

VALUES OF /I;: INTERMEOIIITE VARIIIBL£.\

O.Z (), , 0.08 0.66

\

\

VALVES OF �=A8�()L.(/TE AIIERAGE TEMPERATURE OFFLUE-t;R8ES,-OEIiN.FAHN..

18'O/KJ 1500} I/lfO 500 /00T:: :::; tc + �59.6,/

.

LIMIT:USEFUL

VALUE.5 OF tc= AVERII6E PEG-H, FAHR.

VALUES OF 8 =:- INTERMEOIATE0.0001 0,0002 0,005 0,002 o,oo�

�@. (JO 1183)I

eXAMPL c : &IY£ If: V.::: 30; 0:: 7,. tc;' LtIO,,- L; 200 ; FINO: n z: /. () 29;8:0.001/83j AIYP:h:= 0.2306. � �

'/�1000 ,� 10

USE FUL LIMIT. � LIMIT.500 300 200 100 60 J 0

VAL U£ S OF L s: LENGTH OF CHIMNEY OR, FLU,. - IN FEE r:,

�.3 2 I 0.8 0.& 0.5 0.'1 0.3 0.2 0.1 0.08 0.05 tJ.O�VALUES or h=. ORAFT-LOSS BY FRICTION. - IN INCIIES OT WIITER-COLUMN.

Jt·I&�·ffiRUt; If TN 1923. �

���,�

�fI��t\i�tf.t:\�

Q::.. DISCHARGE. - IN CU81C FEET PER SECOND.O.ml 2. � s- 0.01 2 3 5" 0.1 0.2 0.3 0.) I

a..: O.

OOOOO/5t72X�1:�2. 3 5" 10 2IJ 30 /00 200.. I rl _ L 1.1.1

500 /000

I 2. 3 S 10 20 30 50 100 200 500 I MllL- 2-/0". � 10M. 210 50 100M. 200 500Q::: OISCHRRGE. - IN CALlONS PER 2Lt HOURS. : az::- 6�6'317 � Q, '::: (1728xoOJ(001(2f/23IjQ.,·t • -,<c- - - - -- -- - -- - - - --IN TJlOUSIINDS.- - - -- - --�- - - - - - - - ---IN M/lllONS.--- - --- - - - -->

I

FOR CAST IRON PIPES, CLli'AN.I

I

cl..-== DIAMETER (INSIDE) OF PIPE. - IN FEET. " �0.2 o.� 0.'1 0.5 46 0.8 I 2 3 'I �I I.

Lit I"-

z: 3" if! S' 6" 9" 12" 2'1" '30" +a" 60"4

d1e: /)IAMETcR (INSIDE) OF PIPE.. - IN INC!/t£S.I

,

II

I

rORM(JLA: '

'I = O.595Sf. QI.8Vc:l"'f.9";/EXAMPLE: GIVEN: Qz==22'OOO'OOO; d.1::36 ;/FIIVO: hI'::: 1.825;

,,

,,

,I

I,

I,

10'01}(} S-. 3 2'600..fz.7.::. LOSS

0.02200- IN

�"

�

��

� �'" �������� �� ����(I)•

'"-1.

0.01

�,,����f:l

�t®3)

Q= DIS CHARt;£. - IN CUBIC FE£ T PER SECOND.2. 3 5 0.01 2 3 5 0.1 0.2 0.3 45" I

O.OOOOOIS�72X Q1;S 10

. ZO 30 s»

i1 2. 3 5 10 20 30 50 100 200 5()O I MIl.L - J-IIJN. S 10M. to 50 100M. 200 500

Qt:: DISCHARGE. - IN GALLONS PER Z"f HOlJRs.· : Q1 = 6'�6·31'l x Q ,- (1728x6(J)(60x2f�23!1i-<--- --- - - - --- - - -IN TIIOUSANDS- - - � -- -*- -- - -- - - -IN MllLIONS- - - �--:- - --

I

II

FOR CAST IRON PIPES? INCRUSTED.I

AFTE(? 10 YEARS IN S£RVIt:.£.. I

d.=-DlAIf/ETER {INSIDE.'} .OF.PIPE._ � IN.FEET. " /}). (),_I '.. - 0._2, _ Oo.} O{l .. 0i'_ 'i6_ ._O�8 L � .

.._ � : �iI t·· 5� '--

I "

! t,; r.

- .

2." . j" _. +".: .5"._' 6�_.'.

!J': iz". . it" .. ,g6" .1(8"- 60"d = DIAMETER. (INSlllE) .. ·.- Or�PIPE..._·.=. IN_INCH£S.. �

1- I

I

III

II

rORMlJllI: I

'1-= o. & 0 086 )( Q 1.9S/d 5,,/5;I

EXAMPL£: GIVEN: Q,=22·0()O'OOO; d.1::36':,; FINO: �7=2,,7IS;II

10'I(}()"

5" -.J 2000nT= LOSS

100 SO 30 . 20 /0FEET PER /aao FEET

0.02.

�<::)

��

� �� �

�C:)�))�� �� �<,

�

���en.

�

0.01

c..

���<:)

�.�

:&�s-�u.

w

�...�

�,-'"t:a

'-�\N��

w

\II

�•

��t:�

�f�.

YAI.4F: �= RATII) OF .8A�E TO H£16HT IJF N£CTANGUlAR HETAI/(ING WIILL.�.;U+I41.3f 113+ D.n {HIIIJ '.32 IJ.� '.3D 0.2' 0.21 DJ7 0.26 025 0.2t '.2� 1.22, ,

().21

I

�����':b�

�h, �� �

����. <:s �')J��. ""'\J

� ��"-""

�

011 LOGIIRlrllMIC FUIVCTltJNAL .sC/fJ.E: �1/(1lj -/(,.16')), WHERi.'n:::l!fIJ-·!tYrQ.22367-0.16985A);I

II

/I

II

k.a + lip +r CH? - 1 u-:J�fP,' 0;

RCCtJRDING TO COLL.IGNON, SEe: D'O(,A,""NE"'THAIT£,"(E/).II�'oJ'I'.II/., 3G�381.111.50: .sOREAU� "COHTRIBUTIIJN"(1901)JI" 21" 3�3 �#. I

I

F -/111&1.£ OF REPOSE (IF EARTH-wo��II£S 0 'f -. I 3'- foe '" ,

rAL sr 30. . I' I , I I I I I I •• Is·

,0-

FORMUL A:

III

II

,

£XAMPl E: G /YEN,' p:: O. �3; SO = 33· ; FIN/): A�' O. 23L, I:THIS NOMOGRAM 15 APPROXIMATE; C(JRREqr ()NLY FOR P.::35·;

I/

I

II

I�

ON lOGARITHMIC FUIICTIONAI. SCALE: � (p -/".16).

0..23 0.2. Olf D:n O.� 0.35' '."0 0.5 0.6 0.7VALUE.5 OFP == RATIO BETWE£N THE SPECIFIC GRAVITIES OF .sOIL. AND M�$()NRY.

0.8 0.9

�

NOMOGRAMFOR

WATER FLOW IN TIfAPEZOIOAL CHANIV£ LS.

VAl.UES OF d.= DEPTH ()F WATER IN CIIANNEl.-IN Mf.TERS.- ON lOt;.-SCIlL£.I .G 3 � 5' 6 1 8 , 10 /5

fO 2A' I5" 3·2, I

VAI.VES OF �=- WIDrH OF WA7lCR-S£CTIOIY IN CHANNEL ArBOrT()M.IN M£TCR,s. I

NOTE. .. THIS IS ,.q T�)w(;£NTIAL NOMOGRAM.FORMULA ONLY FOR rNA P£Z()IOAJ... 't:HANNEL,WITH .sIDES SLOPING �5"�

I

VALUES OF A = INTER MEOIATE VAR/�BL£. ON lO�ANITHMIC SCRLE..12 10' 8 7 6 .St··· 3'

. Z I .. 0.8 OJ;• I.

, 2.628A ./� AL.SO csae o , "HYDRAULIC 'RIIOIII�" OR ''HYDRRULIC MEAN J)EPTH'�

I. ,

FOR CONICAL NOMOGRAM: SEE.: IJ'IlCAGN£,·TRAITE; EtJ.I'20'1'.2.87.,

I

,! �/5'VI' ON LOGARITHMIC SCAL£.

so +0 30 20 I 10 5'VALUES OF += NUMBER (JF OI.s'TAtiCE3 OF /ao» HLT£H EACH, IN WHICH

U WIiTER-SlJItFAC'E FALl S I MET�R.,It

EXAMPL £: GIVEN�·�{:=�j b=:/O; ,.; :15"jFIN.O: //= s. 628; AND: V.: ().62.�;II,I

(O.6zRI Of( lOGARITHMIC SCALE.

0.3 O.Lt as 0.& 0.7 0.8 0.' I 1.2 /. Lt - /.GVIILUE.� OF V=AV£HAG£ VEL OCITY OF FLOW.- INMET£N.5 PER .:J£CONO.

d(.f.�ffiS£P{i5� /923. �

NOMOGRAMFOfi

CAPACI TY OF EXHAUST HEATING PIPES.A rMOsPH£RIC RANt; e.

VACUUM: INS. MERe, COL�-'- GAUGE PRE SS oee, 5 It � 2 I 0 I .2 �

POUNDS PER SQUARE INCH.5 � 7 B , /"

.33 30 2' 2& 27 26 J5 2+ 2\3 22 21S=SP£CIF/C VOLUME OF EXHAUST ..,sTEAM. (IJRY ANi) SATURATED).

IN CU81C FEl.T PER POlJND. �ON LOGARITHMIC SCALE.PLOTTED FROM H. L. C ALl£NOAR'S \STEAM-TABLES) NEW-YORK,1915.

ATM.;;./J POUNDS t;IIUG�:=. I� 689 POUNDS P£\R SQUARE. INCH" /l8S0/.UT£ PRESSURE.

\\,

FORM{J\L A:,\

4 =:3600 Jl"

x VL)z - 19.};351)( /22. S \

\\

\\\

\

\-ON LOGARITHMIC SCALE.(): QUANTITY OR WEIGHT OF £XHAUST STEAM. - IN POUNDS PER HOVR.

300 't �oo 6 2:000 3" t 5'000 6 7 8 10"000 �

�.�W�i-++t+t+t+t+t+i+-+++++++++++++-++++++++++++++++++++++++++iflf-++++++++H+++++++++tH+t++-+-+-+-++++++++++++++tttt+HII

10 20 30 lto 50 60 10 8� 100 200 300

QS::: VOL.UME OF EXHAUST STE/IM IIV THtJUSIINO/3 OF' CUBIC F£ET PER HOUR.-ONI 1.0611NITHMIC SCALE.

II

I/

I

I

0= [)IAM£T£ R (ACTUA l INSIDE) OF/PIPE. - IN IN,eN£S .-(}N L06.-SCIILE.,. '�5" 6 7 8 I' 10 so

II

J/' 2,f' 3" 31" 't" �i" S" 6H ,"1 8" ,It I()" 11." ''I'' /6"COMM£flCllIl PIPE SIZ£�, STIIiNDARD srRE/VGTH.

I.

II

I

e XAMPL £: GIVEN: V::- 70; O::/8UF 7.9�l.J· GIIU6£ PR£SS//HE =2.5LB.s.PH.S�.IK,·FIIVD: Q 5 =: 87'stOO; �N/): Q.: 3'789 LBS. PH, HOUR, .

I

/I

IV,": VELOCITY OF EXHIIUSIT-STEAM.-IN FEET PER MINUTE,'0'000 8 7 6 j·OOO lioDO 3'000 1.'000 1'000

I

150 100 '0 80 70 60 SO iO 30 to 10V= VELOCITY OF EXHAUST STEIIM. - IN FEET PER S£C.- ON LO&.-SCIIL£ •

COMPARE N�.s r. 73 � I: /!J.5:FOR f/()M(J(;/iIlfr1 FOR PRE3SVRES s££:/V:I:/7t,

..Jfj&'d�·ffiSEPT. 29"'''1123 ..�

"'\

����E\)'-Q""

...

�

�...

l\.)

�.

��

����

���,....

�

�

q��� :,

����w

@

s= LENGTH OF SPAN.- IN FEET.200 190 1M 170 IGO I�O /to /3fJ /20

ON LOGIIR/THMIC SCALE.110 100 !JO 80 70 GO

�� �

�

� �����C)

"" �� �� �•

�)10

�4

\.

",

-,",'\

-,,

"""

"\

PARA80LIC APPROXIMIIT/()N�' {T'::::(!.�1( S�I(W/D.t ; FOR: W=I;"\� T==(/.5)�S2�W/O().�; FOR: W=o.f;

w= WE/aNT OF WIRE(ANO CABLE'), IN POUNOS PER LINEAR F()OT OF SPAN."\.

D= D£FL£O(ION OR SAG. - IN INCHES. - FOR: W=I1 �o 30 ,,20 10 8 7 6' 5" � 3

FORMULAE:

L8, PRo FT.z

\.

�, , . . . . -

20 10 "'1, 6 5 � 3 .2 /,,5 Ia L

=: /JErL E.CTION OR Sll�- If{ INCHES. -FOR: W=O.f LB. PH. FT. (LOG. jelllES.)�7 "\."

FOR ,t" OIAM. STE E. L "MESSENGER" CA8LE (UNl.O/lO£'bj: W= 0. � POI/NO rER FOOT OF SPAN.

FOR SAME, LOADED WITH WIRE: W.::: / POliN/) PEN 'FOOT OF .SPAN.""

EXAMPLE: GIYEN .. S =ISO; q =20l FINO:

\.

-,

T= 16-8?:, s- POUNDS. (FtJ/?:W=/)."\. .

'\"

"-,

-,-,

"

250 3()0 'too .500 GIO 800 1000 IS(JO 200()T:: TOTAL TENSION IIV WIRE.J AT LOW£ST POIN T. - IN POl/NOS. - oN LOGIIRITHMIC SCALE"

3000

NOMOGRAMFO�

COR REe r/ON TO TEL£ M£T£R DISTANCE.

s= DISTANCE 8£TWEEN TELEMETER STATIOf{ ANP TARGET. - IN M£TERS.(Ldb.�x)/51JO 2. 001) 3000 '1000 50gO 6 7 .8 '/0'061 12

(5'000)"

NoTE: TH/� 15 THE

�AM.J1I.sII(Tfllr;.ONOM£T�Y, FORMULA:'"elise JI". tiIVE.N: 2 310£�·

J1/n,A =lOtiO s�i..A IfD 1 ANCL £.1 ()PP(}jIT£ 1- , \

'

\ ONE OF THEM. 0, , �,

?V;::: ANGLE OPPO�/TE OI.5T/lNCE(�).- FQ'f. IICUT£ AN�l£ s .

2,'10 JO �o 5· 6° S· 100 20° 30· +�. �6" 90" ()A' L06.-.sIN£ .5CAJ.£.

1780 /11· 1750 /70" 160· 150· 120- 10·.sAME. - - - - - �AM£. FIJI? ,OBTUSE IlNi;L.ES,

EXAMPLE.- tiIV£N.· ,=5lJOOj �=OOD; FIRST FIN,D/8= 1J�58'; THEN.·/I=§O();AND OJ{ LOWER NOM06RAM.·/J= 75'.6; FINAI.LY, BY3V/J7RIICT/ON.· a..::::A-lJ = f2t.�;

9!58' \ .

�

/'-30' 2° 3· f 0 5° 6° 7° 8° ,. 10"-

/2· 1+° IS' M' 2ft 311-,/.3 = AN'L £ OPPOSITE TfLE METER BASE (=IOOO M.) - ON lO�.-SINC .5CAl.£�

VAlU£S OF ANGLE 1bi - ON SCALE OF NAT. COSINES.SO· 600 10· 80· �O· 100· '" 0

jl'I'lfltlrl1Irlrl'l*1I11t1,I, T' Ill' I, I( T' lIlt It Ijlll, IW' 1�111d tlr 1111 hit111f' If IW It Il'� It It Ih 111' IT Ij:J .

I -II [_ . J _.1 '= - . -I· III:II

_. !L I _I=II [ __

I II I:

I I [1_. _] ,=

__ . '}I _, -

:_] II r - . - q _,_ - J II _I

=II n _

I [_ I=

) I II�

600 500 soo 300 200 "'100 0 -100 -2QO -300VALUES OF A = 1000. cos y; -IN METERS. - ON RE.GULAR SCALE.

s= DISTANCE 8ETWEIN TEL.£METER STATION AND TARGET. -/NN[TERS. /caa-sc),1500 2QOD 3000 f�u 5'lMO � 1 8 'ltllJJO ,1.

;�,,

FORMULA: I

B =. 5 · v-u ;a;: [ lnJ:::: VE R 5'£ 0 5 INe.J�T I

A =ANIiL£ OPPOSIT£ T£LEM£T£R.

811S£ (=:- /(1)1)"1.). -/)N LQ,.- V/i.s- 3CIIJ.£'t" 30° Z06 15· /d!r 8· 7" 6" SO �.

I

I !S"!,CBY"METHOO OF VERSED srse", ORltiINAr£D BY M.J.EICHHoRN.a::: CORRECTION TO TELEMETER :OISTANCE.� = A -8 :: /aaa co-a r: - � 2rl:d/3 ; (8Y DIRecr SVBTRACTION) f

,,�-'

COMPARE: SOREIIlI_, CONTRIBVTION,-y;-;P. 37!l. 75.6'I

300 200 /50 100 '0 so 70 60 so ItO 30VALIIES or B= S.1Itd�j==lltTlIlIl LENGTH OFVER:JED.,sINE .... INMETERS.{LO&.-se)

WITNESSES: .4t'"E..�

�_Q�__:.:�h;j�<�!ljJL�_� ��_� _�rff/9Z�. f2

/VOMOfiKAMSFOR

CONT/NIJI}t/S HEINFORcEO CONCRETE SLABS.

L= SPAN OF SJ.A 8. - IN FEET.�O 30 20

ON L.O(;AflITHMIC .sCI/LE.10 9 8 7 6 5

,I

F()N MU'f- A £:· rO� REINrORCL'D ,CONcRETE FORMUlAE SEC MIIR/(S'

HAND-aDO/(, 1916 1£0., P. ��2.-FOR C(J/yTINUOUS SLAB orTLIIND CEMENT CONCRCTE, /:2:Lt MIX.

,,F"ORMULII FOR NOMOGRAM.

.xtJ" L +Jl'4J� -1-/ == 0;..to

IN WIIICH:.x, -= - /. �92/- w� I100 20Q', ,00ul 0 2 c./Ve- L

.

-O,008�5S."- a OOOI30¥.W; P£/l (}A'{J�- IN POUNDSAND:!f = + 1,1920 + SqUARE FI)D r. .

-t. 0.0' 00 16. W +0. UOOOIITf.. w2• I

NOTE: THIS NDMO&RAM GIVES -?�U8 .sTANTIIiLLY THE .5AM£ NEjVlT5A:S TABL..E IN MARK�' HA/(P--800'f; I "16 EO., P. /30c8. (EXTENDED).8ASE D ON:Ie:: 6�O I. as PIl. SQ. tN. -;:'::: 16'()QO � 8.5 P;f" so. IIY, -

L.OAD Uh'lrORMLY DI,sT/f/BUrED.I

I

END .. LINES RitEINDETERMINIIT£.

J + 6 7 8 :!J 10 20h= rOTAL THICKNESS OFSLA8 -IN INCHES.- ON Lo&/IRITHMIC �cRlE...

L::. SPAN O� SLAB. - IN F�Er. - ON L.OC/IRITHM/C seRLE.�0.30 20 10.!1 B 7 6 S .t,

\

\,\

. \

on . L = 13 FT.j W = 2$0 i.8S/FT.�; 'rINO: 1. ::. 8 "j /INDo" R� � I. 'J .5Q..IH.\

\\

\

NOTE: THIS NOM '11M GIYES SV8ST;fNT/ALLY THREE TIMES THEVIILU£.5 OF TNBl£ IN Mil I HAND -t3()(JI(, ,<.910 EO.� P. 13()8 (EXTENbED).

BIISED ON:/c =6S0 LB$ 'R. .5(J. IH. -/5\-16'1)01) lB5 PRo �QVI{If£ INCH.\\FORMULA FOR f(OMOGflIlM.

x(tO$l'"� �(A�)+ ,= 0;IN W/{ICII: X, =- - 0.8/3/ -0. (}02035. W.,.

Jy., ..1'1) \

-+ o.OO(}OO �761.W2._; �(IOO 200 \ 51)0liND: Jlt = -+ 0.5"156+ 0. 002768.W- p�/vC L.OAD.L/N PIJUNDS-0.00000.3828.Wfj. /i SQUI1RIZ 'roor.

\

r-ONMUlA£" SRME /I� ABOVE" FOR CO�T/NV()U.5 SLAB.\

,\\

0,08 0,1 0.2 0.3 0.+ 0.' 0.7 I .2..3 If' 5 6 7A = IIHEA OF .5TEEl PER r(JO T IN WIDTH OF SLIIB.- IN SOUl/HE INCHES.s

ON LOGARITHMIC SCIILE.COpy RlfiH7; "2 � BY M.J. EICHHORN. ""� ;/ c. , /

�WITNE.sSES: 14.. c/K;;,rr G£.��.

___ .__ __ __ �C:::.�gJ-tL.-�-_�-_�-:!!-�:� _

MM. 7t!f 1925. 3H

NOMOCRAMrOR

POWEK-rACTlJR OF 8ALANCEO THREE-PHASE CIRC(f/TS . .II.I=cURR£Nr II( ANY MAIH- INAMP£RES •. (READ FROM IN3TRUM£IVr.)

3000 2dOl) /POI 710 SOD 'tOI 300 200 100 70 50 �o

""

,/,/

/'/'

,/,/

,/

FOR BALANCEP CIRCUITS ONt. Y.CURRENT C(lRVE S//vUSO/OAJ.,/./

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