— # —— —— .— *— —_ —.—-— —— —— 4—— —— — f’—— —— — A TEST OF THE IPAN FLOOR |N FLEXTURE THESIS EUR lEHE DEGREE OF B. S. Carlyle C. Waltz 1932 ”.r mumps , human; 6.. . 4 ‘3 WW??? Eifffléi’ xx 1:- - ~ .' ' ;T\'fv33.~;«' 4' . , r .‘. ‘ | I ‘1 ) . 'v" ‘ I" ' Ir E , fl.‘ ‘1. ‘ s . r. - . ‘9. L.‘ . , n .;.'F : Y I- .".I.,.‘?.' _. ‘ .{ s f A- . . t , \A'x" I .‘..~,f"‘fi1}.‘§' . . '( " . , :5“ _ ‘V '\ ._"_ . -' . "fixo' ' O 03\.I;"I'. ," - u" ' "I .' V. ' . I ‘ - - ' - s " 5"? “‘.K\1‘R .6 £'~;I‘ .lh ~ .. v M"! -. n) A .{5 ”‘1 :h'il. ‘- 6 l':’. ”'1" "-"9 I? ..v;hj\ ‘L.‘fi;;.i.u .v' S: A Test of the IPAN Floor in Flexture A Thalia Submitted to The Faculty of MICHIGAN STATE COELEGE of AGRICULTURE AND APPLIED SCIENCE By Carlyle c: Waltz w Candidate for the negro. of Bachelor of Science June 1932 (HES‘S The writer wishes to acknowledge hie sincere thanks to Mr. H. W. Schick for the materials need to carry out this test. He also wishes to thank Mr. C. L. Allen and Mr. w. E. Reeling tor suggestions and constructive critisms. CONTENTS Object 0.0.0.0....OOOOCOOOOOOOOOOOOOOO The Test Apparatus ................... Method of Procedure .................. Results 84nd D‘ta OOOOOOOOOOOOOOOOOOOOO Discussion O...OOOOOOOOOOOOOOOOOOOOOOO conclusion .00OOOOOOOOOOOOOOOOOOOOOOCO Page 11 NM. next}: U exfixttu kahlunb g d‘t§kb§t.bfnwa "gm gt HzOshUkw 4d< Reed 23“ ME. 9.3 KG W§R~MQ w ax )-.;.. - , hchm..m.nw4 :w 11 .Qnm. uva. :0... a; .w ..c...c\ 1 fl 7 5 u L r r LT .Illlll _ 4 q q / .I ~ H V 5 .r . .- I a I t 9! _ A E d [I . . on u E _ )0 $51.9 .WD «700 v) (I 70” Na .. v.49? OWJN‘ Ha "5.9M? vrfiaaueidfl $070 M4 )0 be?) 4.594 UvN .5 7 Wm. 3512 U urn/$0 mam moon—rm mBHB mbedm¢mm< aware Mme .....».M.-...fi a. a- r- to OBJECT: The object of this test is twofold: first, to measure the deflection for various loads, and, second, to determine the permanent set which would occur by re- peated loading. The determination of these points by the use of a representive sample of the IPAN floor can easily be used as subject matter for comparison with similar floors of different lengths of span and depths. THE TEST APPARATUS: The type of loading chosen was what is known as the two-point loading. The loads were applied at the one- third points. By referring to the photograph it will be seen how the test apparatus was constructed. Two 12" channels formed bed pieces upon which two 8" I-beams were placed crosswise on 9'- 9" centers. Two 1/2" round bars, placed upon these I-beams, formed the supports, upon which the floor slab was placed. The load was applied by a simple lever and a Jack screw. The lever was supported at one end by a knife edge upon the Jack screw, which was placed upon a plat- form scale. The other and also rested upon a knife edge placed upon a specially constructed structure. This structure consisted of two 6' I-beams 4'-6" long bolted to two similar beams such that the former were 5'-3" on centers. On the under surface there were epot welded two 1/2" round bars. The knife edge was so located on the structure that the flow \ MICHIGAN STATE COLLEGE . e—e e ya- .. 'e n747.-¢ *‘ v 4-44» ..4 ~»r+++~’—~ re -- fee vofi . rJ -e DEPARTMENT OF MATHEMATICS . _ of stress was equally divided. At the fulcrum of the lever was a shmilar knife edge upon which was placed a number of steel blocks. These blocks were to allow for lever action between the lever and the 8" I-beam above, which was securely fastened to the bed pieces by four 5/4" round bars. A de- flectomster was held in a central position on each side of the slab by end supports, a l" pipe between time, and an adjustable 1/4” pipe. A bearing for the point of the de- flectometer was provided for on the slab. METHOD gg PROCEDURE: After the completion of the fastening of the knife edge supports on the lever arm, the lever was placed upon the bed of the Rhiele testing machine with the complete knife edge in place. A scale and a jack screw were placed under the other end. The head of the testing machine was lowered upon the fulcrum of the lever. By adjustment of the Jack screw various load increments were obtained, and also the corresponding load readings on the testing machine. The ratio of the two readings was the ratio of the lever ans. This ratio varied as shown on the accompanying graph. With the lever arm placed in the apparatus as previously described, the slab was ready to be tested. The same platform scale was used in the test as was used in determining the ratio of the lever, thus avoiding error in the variation of different scales. Before each load was applied, the initial reading of the deflectometers was recorded. The first load in- crement was applied on the scale by the Jack screw, and the deflectometer readings recorded. The load was completely removed and the deflectometer readings again recorded. Each load increment was applied and completely removed ten times as described above. Load increments varied by 50 lbs. from 200 lbs. up to 950 lbs., when the deflection became too great to be recorded on the deflectometers. At this time the gages were removed and an increasing load applied until the maximum was obtained. Ihen all data was taken, the apparatus was dismantled. RESULTS: 55. Platform Scale Rd (lbs) 200 250 _ 500 350 400 450 500 550 600 650 700 750 800 850 900 950 1200 DATA: (from graph) Ratio of lever 00 e O 01 8.11 8.17 8.25 8.29 8.55 8.40 8.46 8.50 8.55 8.59 8.65 8.66 8.69 8.72 8.74 8.84 Total Live Load Applied 1860 2280 ..2700 5150 5570 4010 4450 4900 5550 5810 6270 6720 7170 7650 8100 8560 10850 (lbs)(Q + 250) Equivalent Live Load 0'1 Ch 0 0“ CD ()3 82.1 495.5 108.5 121.8 155.5 148.9 162.5 176.5 190.7 204.5 217.8 252.0 246.0 260.0 550.0 (lbs per sq.ft.) Total Load Equivalent 77.4 89.9 102.7 115.9 129.1 142.4 155.9 169.5 185.1 197.1 211.5 224.9 258.4 252.6 266.6 280.6 550.6 (1bs.per sq.ft.) Average Deflection (1/1000") H .p. N 0 182.7 222.7 270.5 529.9 550.5 594.5 455.6 476.5 516.6 550.5 592.4 640.2 684.0 752.0 769.5 Average (1/1000") Set eeeeeeeeeOee tDNOIHHoFIFmOmufi-(D 5.1 1.4 1.1 5.0 Form 257-6 MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE ....... 1 111- Obaervers { { k .......................................................................................................................... Date.‘{..) :3 "‘ I/, " C’V’ 0‘ I; ” \WL', ” ex u‘ NT 4 .21 .. I" . p 1.7/9 (pf—1 I No. L (L t N t—t I—I t—i v—A t—I t—II t—I h—i a—a H o 0 00 \l 0‘ U1 «B C» N H O :\ \V‘. \0 _, x: \r \l . a 3’1]. b . K) 4"; . ‘ £ ) \) (D J \ J g} i x) 1 v \1 \J ‘ \ ‘3 1. M "J V. 4, t‘ ((1 \:’ \1 " \\ g C" ‘ 5 J '\ A x \ U< - x} ..~ ~ I 3 I. \ “ , ) N N N H \ \ ~ \ \_ ‘ L \N (’1 .1 Q) Q ‘0 \ K) 1 r- g l r ; V" ’49 J J c 23 //'~.' :7 /9 '3 9 , L 24 Aida" .4. L‘ 7 25 I“ "’7“ ran/n m’ [4 ‘V " -’ J, 0/ Lg) ,1 1 . ‘ w 1 :9 e/ 5‘ p . ,c‘;r.i.;-.;ii,/,-.;.‘ .19 a 2 /w o a .0 12.0 / 3557342 3 /.:'3 x" 453 '3’ "+ I) 4 2-90 mm 5 7 e :2 2. ’3’? T ' ’ 6 : e 0 .7 .«;-. :i x 7395 299‘ '."'.t./ 8 400 3'3 , §’ 3 ‘ 9 450 . ‘4, L , .‘ ...................... ! Sheet No. ____________ ' ....................... MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Form 2574: [E ' . I *- f '7' (- L 5 n I r ) [A } f f / -" Runninshgof Kat’rw”) 5 ” ‘\ “ W’ '5 ‘ ('D<”’r ) J 3 )9“ /" I o A a... 7‘“ 1 .. vL I) - ”9/..." f v; b.3717..;.J....{..z..<.. ........... ,_ ................... 2.4 ............. T ................................................................................. 1 ¢ - ----------------------------- n..---...---------....-.....-.- puss-n----------------—--.---.--...--.-.u..--—--.¢----.-----u Observers ..................................................................................................................... Date,193 )‘ r 5 I v I '1 f .. II. ‘ ' ' I I. . ‘ ' P\ -’J. v’ I I; .\,. ’ ‘H I) -‘ i » a \ J \ . . ‘ \\ r‘ ' X . ° 4 z ; ‘ . / r ¥~' \‘ in 7 L 2 . I -‘ ' f w E Q J ,— / '\ H‘- I.’ J I 4 “J U 3 A A .._, . L e. V 4 y a g l - 3 / e r‘) P. -) . d ‘— J - “- l f ,1»- \fl 5 '9 fl 9‘ ' ht .14- 3—; V ‘- A I I 6 l _/ l’ 1' " ' .-< ,_7 I a ’ b . f’ " . .‘ 'L A: 7 A *3 : ”‘ 4.”. s t 8 i ‘ I " I .4 z; / 4 / r“ ,1 \- / M i 9 r ’\ 4' "7 .. - b ’ O.“ 10 ‘ I f v I ' "‘ / q ") I) L 4 " - a f/ -' _.) f f L— 1"“ 11 I "i A x '7' r- p... N § \ \ NJ \ L‘. 1 1.33 . -. 2.7 (lg—J /43 ‘l 13 ‘7 p a '7 w a; I i 4 l4 ‘ 3‘ / ' 3‘, / : ' I J +--‘ /4 ”2,. * 15 g -2- ‘ ’ j; 3‘ 16 1.2" , 7‘. ii” 1‘ c /4/ ~ 17 (T A a can I ~ -. v I—Ah-s 9000 \. U \ NNN NHO K3 J I I i N OJ ‘\ I. T T\ f . ‘ e l x x i ( a 1* m I, t. I 24 y;¢;%A4.aa~ 1“#TVW_,_#M__ n. ‘ 9 ' * I T" ’ ”rift—IL?- __—___”-_._ _ __ £11.: ‘7‘- L- r f ‘I 5) *— g - \/ l. - f ,.... 'I i *_ Ir- ‘* 1 [A7]] ‘ 1 '6» .L‘: ‘-1 i 1 Remarks: ,LLr ‘ 1 \_.. _L Form 257-6 Sheet No. 2’“ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE ’ -' "//-r'- " If? 4 -- r‘/ ‘ m / ,e_ ' -. -* —-,-1 .' , .-- '--"_ 0 ~ —- Er" . _ ‘ ‘hv , r— Runnins Los of......:.—...X/..?.:..f..-.’ ..... ‘.....‘.3.z.;.....-.x./ ....... /.:~..—........ ...... . 7? .......... l _______ ‘3.- ..... 31. .J ...... , ..... 1. 3..-...- C ans 2%.: r: 51.4.2.1 ‘_ ......... “a ............................................ . ...................................................... .................. VVe/rz. Observers { { ,-—- , 7 ......................................................................................................................... Date ~- -I’ .193 ~— {‘ No WT ‘ 44‘? "W27; _ .. ‘1\ k ' " \f ) f" V 3“" 1 .5 ‘. -1 r) (J K} i 'l A .- _ \J '1‘ J x . -" 7’ ) ’ Y 'I“ . ) 'x l}—. (j w r -_ = -. w > ~+ . , 9 k. 4 -- \‘ Q ~ ‘\I I I ' ‘\ I “J i? I a ‘I \j) :“l ) -' ' o) . '1 \‘>-. \oooxlmm-awm—n N9- 77/9/ (0 H H H o 0‘ 1‘ o o. O \ m V \3 M. \ r—t v—t c» N \I H 9) ‘* .J (u ~Lx 4; \ ~ . ON. (s I \ \ Ll. \ \3 («J (\J .\ h—fi H (II A “Q N E \. ‘1‘ - \J - \_ \ 42: \ \J 99/ ax? TH C) p—n O‘ N H H p—e O \O 00 \l \ \{J b N \J L C‘ .. U r. J V, J v . \ \ L. L. 4%» (0 A-\ Q; ~ N \\ \\ (\ \i} «r \ \\ N W (\ ___ \ \ \ \ \ ‘\J \i 1 w \\ (so (a \ \ J S C ( . -3. i E 1 \Q ! N N \ O U N A '63 ) b.) O U U Kk‘ . 3 Di) ‘ W I.) I ~35 .. [\ P} \“v (J b.) \ N an to 0 L) A3 x) I ~ 3.. \J O [J b) ‘J \J ) Remarks: ,A Form 257-0 Sheet No. .......................... MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE . f ”' __, —- . r .‘ . 1‘.) I! ' f . I Rnnlnchgof -— ..-.,. - .- --., .r--+-.-- . ,. , ,a-~~,-.;.~ . -_.....~ u ....J.“.’.“....k-.-X.-...'H.J..-.--¢......n..o......-.-..a .......... ~..\.L..‘....a«: ........ J..{....< .......... ’ ....... In“; ..................... .../ ..... J.....‘-...{._‘w...~.. . O f I f‘ Xx} f ---—; "0. -¢- ,' r\ I) .......................... -HL-a---..b-.-l.--..-.‘-“---.--‘-.5...-~.-..-4..‘..--.-.-.............-....-...-....--.-.-......-....--........-----..........-.....-..-.................--......--._.._-__. # I I / A— f «d. {1 J P "1’; '31:: “c. A 393 L "‘3 2,215 ?/ 1/ {/7 3,1; D 4 3 37/ f: 32.” 3 2... 1 3.2.49 a,» 7) 1/01221, / L49. m (J < J J J 7/(1 Q I ‘5! ‘\£ a I . \J 4) i 6\ Q. (P If \DWNONU'IAOONI—a K \ C {U O H D—l H O J ) J {\x L9 ‘4 (u r) S‘ «J \x) Q {J {a O p—n N r.» \\ Ix. i “.4 ~ r J P) {I I ) M *1: LC 15 ' "I A f I" 9 q ..' “I, \ \- l "’ 16 r. x ' A/ - I'- . g A j j, ,, I L _ z '7 7 2- a. O - J 17 - , ~ -a -. fl 4. J 18 a ’v '5 I . N / «J \' 19 " -v-~ ? ‘ r I ’ ’ ' ' ' . J. \ ‘/ -' " r ’ \J Form 2574C - I '1 ! . _ . , ‘ . 7“. .'. 1 . y ‘3 .I . . fi. - - f" g. .. n-na' ' . ,... l ’ l'y .. . ,. . , I an - ~ - ~ . , -- .Q , - ' .-.b----....-p...-ofl..----.-4--I.i.4-I..---..i ................................................... L.n..'...-., ........ w‘--‘—----->------»----- -......u-.- .. ..-.. o 0 ' V C ' O \ 1 5" r s. ,1 «0 \DGDNO‘U'l-ROJN h-I u—I v—I n—A I—s H r—- OK (I! A 00 N H O I \ 17 M 18’ .3 N N N H N H O \O (.'\ k NN A09 6\ 1 Sheet No. ....................... f7 ..... MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE -- n - I ‘I K .‘ P‘ - l h r" , . .‘ jar“; 4‘,‘ I 1’ / 1.. .Th ”ML;/' ’ .< ' I .' '-' u ~~ - ‘ z I“ l /" , ‘ ’ '7 a. {A 971'} ’" . .+\ r - - — — Nan-<1. - L'} , _, .“‘ (I I .J . '— 9 " a " ’7 I‘) .4 ' \ y H r) ’ ’J /k_. '_ # N I) 3’ J 4 I - "DH-(d ,* ' "“1 7 " \r i, v- I ’- ‘ ‘ ‘- I s ,p ./) l J . 24’ . ~ I .— \_ I t "' J k . f V g '2 ‘x ‘ ‘/ l L-» 1 H w y m “ - -'.\ bl- \. (A I ‘a-4 *- I v .- . ’ \ 4 I h T) I ‘1 N. _ G..- \ # M’" IX. | "J J U f .4. V I A o " R I h" I) "J \J I? 6 s» V" 4.. 7) -J (A ‘ 1‘ q A a I. ‘7.- D (j i. l or .F l ‘77.; *) L Q —~ 2:. :7 . 'v n, r a ~ — . 4* 3 ~ / u u g + r‘ .CJ 7“ (.7, Z' I" R '3 9 6‘ 1 / ‘N 'b ~l \ 0 \— T A \ 41 C ‘ I | \‘4 a 1.: 1 TI '. 1 '- , ~ .1 ~- .. 4/ \ V / \ ‘\ / ’1 '1 I -1 ’- 1 J n .— (41) A A ’7 -,' w f ‘7‘ .\ , :1 4 5 ‘1‘.“ 333;? ° , 0 h.) ’J | r I x.) - j "V ,4 )7 A ‘ [v S 9‘ Q r‘ f D ‘5'" , I.” Form 257-G Sheet No. ...... ..., ..................... . MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE I ‘— . _ ‘- ‘. (d- Running Log of___ .;,( 1 _, .. ’ J 3 1.... ’ / ‘ r A 2‘. ' . """"" J :* ‘ I ’3. ................. L-n.k./.........., .... . .-.,..J......-. f./ .... .....br .... . / Z , r- ,4 a + M . R J ‘A 2 ~ " '4 i ‘ In “ x U“ a ‘t ’J ( \ \-‘ " C ‘ 1 \ ' \ t‘) I \ X) ‘ ‘ ‘ L) ‘ xx: -. .. ~ \ ‘ a) _ \V 9 I ,, . \ \ 1 ) ‘ ‘ , K) \ F) 1 .- . I ‘\ W U K ‘ ; l >~ Q (‘5 n ) ) ’ ,) \__, N , _ K O ‘3 I? \ x q ( {I N ' E- I] y K \ l) I\ \l J ‘ ‘ - K ". * ‘\ ‘ \ 1 n 4 'i’ - . 2 7 3 I 33‘" 3-4 3.5 4..- q I .? M _ z 1; '- 1’- 4 on / 1M 3 «4r err u- 9 3 9 +0 ’7 4 6‘00 7 340 I ~ )7 395'» I .19 S Q 0 ‘~> f ‘/ ”A 6 400 j g’ ,' ' " C a A. ? " ~ 7 ’3 7 :0 O 3 7 ‘j’ 8 1.92 ’- ‘ z. w J 51, ’3 _-. ’ " 9 A 0 _ :, ‘_ a a “no ___ , "k, t—oo—A HO \- (1] JD «3 "H O (\ ..J U {k L6 {\ (x C r—t u—- H r—A 01 A c» N J L A ‘ t 3 ‘J C» (x 4: I, \J .... \ 0 t b ) x l ,\ “A ) 3 l c ‘ 23 41 A .4 J I \ O I—d \I I; I u) a) 1 ...-A C‘ .b. O “Q (3 ‘Nr \ N N N N N N I—A U1 A C» N H O \0 5‘0 ow J G\ (N I I. I. J V “1 J NIL) J x. (\ —.B \J: x N i L L r ‘ O \ u (A) a ' t b ‘ J 4),, ,_._. LJ ‘ (0 (J v \ .r \ L, I " I 4 ~" & x (\ \ U W (V x 436‘ \L I 4.. 4 I \ f) \ I - _ ° ‘ A 7 / . : . .1- I”) f : :. I 4' \ \ E j ' e 1 ‘ J V \,l \A _ \. .’ x, ‘ \ ‘- 7, v Q . ' Form 257-G Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE .‘- “— ”—_- - , 1' ,' . "‘ -' “ ‘ ~ Running Log of, _, . .. h . ‘ ' ,_h 4- f; /-- 'h P ‘ ............................ ..............-............._..-. .....,I...-._.V...........-...._ .............‘..-.......,....... .u........v.v...v...wsci“...V...,..............K................._.,.._. \oooucxmammpaéuo- NNNNNl—Ii—tI—Iv—Ar—tv—or—Ar—Ih—AH AWNHOOWNO‘m-ROONHO 25 193..., “v" \ O L‘ - \ I" i '1‘ / ~ Lt) .1- ‘ I I- ‘B -\ 'm‘ <—— — J '7" — --‘ I: >4 ‘ ‘7» ‘ ‘ n ‘ ,—\ .(\ k ' ‘ ’ " \ ‘7 I 3 1 I. T ‘x' i ‘-\.. . ‘ ‘ ‘ ’1 ’) “x ' x "I ‘ }_ \\ r C‘. , \_ \ ‘1.) ‘ j ‘ ~ 3 V ‘ ( ‘\ . ‘ n \ ‘\ , I“ CC \ O) 6‘ ,3 .\ 17 -, s r" .‘ ' " " ~ ' f\ \_ 7 . ‘ -\ \ ‘ I ‘ Q J ‘. I i (j ‘ __ I \ ‘ ‘ I ’ ‘-. (I ‘1. \ ‘ “_ ~ I ' ? I ‘O' I-) ‘kk \3 N) ‘A I‘\) Q) ’ r ‘-J J \ -\ m ~ (I < 3 k.» ' * L: ‘ '1 '7 5} o .4 T . Q — .‘ . _) 4%! I 3 .— 4_fl ‘-r 4 U 9 .1.- 0 L l- / \a‘ I ‘3 ¥ 5’ \_J) k \ I / I, w .- g *1 ,, ,, J 7 r 1 .1 PD 7 ,4 - “a I 9 7 " <2 ‘ V “I 3 " " C7 \ + ‘V V 7/ r V “" 4. 0 .’ Ir.- 9 r) 1 7 P) fl / A 47"“2‘ 4”" (o \ V :' I' ~‘ K ’1‘ i I‘ a. 0* ‘ II“, , x n ' V V / W '3 I f J) €‘ ~/ 6) f: p ,,_,. +-——‘—‘ r‘”’ 1‘41" ' J \. V / \ l O f d A of . ‘ .5 f“ 1 f w 'd 7 -' \ v; "’ ‘ 3v 7 fl- \" l/ H \v ‘ .r‘ ' r‘ 3 J 2- (I (I ‘ I; r, ('7 ‘ - - ‘ 1' 4 .‘ ... .... y .. k V , : .7 7. - ’J / " ' ' . : a ‘J ,I ~ V ’- l V V— \ ' \- u" \r " I 5’ " ’ -.. h ’f‘“ A W, 5 - I I I ’ ’ I ; J 1 \7 , - . :7 k * ‘ x C J 4 4 “' . ’ 2 ..r‘ I | ’~' ‘ ! "" ti: . r t I \o ' I v i- J / q ‘ - ‘ A \ ~ :T L I T Ml I~ ’ b l *5 ' ' .4— ./ ‘.- J I.) I' / _‘ \ r‘ r) I" ‘1 b J \- u— 7 CT ' I' .. --, t) "/ ‘. I) _. v’ I U ,' r. .. . I a U -' ‘- 4- ‘ I - ‘ k.) D " . I w -< ‘ I f \- V I ,1 (- O 7 9 , 3. ‘ | 1.1 Sheet No. MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Form 257-G NNI—‘P—‘HI—ih—ih—‘r—‘D—‘b—OH HOOOONONUIAOJNI—IO .» -‘.E I .7.’ . - f“ ”L L“) "I I '. ‘ h . ‘.i . ,é-n ._ .‘ I ._ \ ‘ I " ' ‘ -' I, _—' "‘ un- --' _ . ’ 4 - "" 3 A I 7 ; .‘ Running L08 0f........—.....‘._..:-......f -4 ,.,,.....'-.,_._. .4 H» u» ‘ , _. 1 x ' I , 1' / - 1 / ' J. ' ‘ - 9/ .24: # a.“ ..F. C...~ ................................................... .. ........................................................................ A ’ ........... (.-.-9‘ u.',T-A':I--- Observers ’ W .......................................................................... Date.._>.___,f.-_,.~.....-..._.193...»: '- r'-'\ ‘ 'r "W ' / r, .‘ ‘ _ .. ‘R‘ [—q I 7 .l: l" ['7 ' ' 'H (- 1/‘\ \y-lt . V“! I I- . J \ ‘ § :r\‘ , ‘ I . \ .1 .' ‘ « ~}.‘ - _,.. \ ”A " I ‘ l 4‘ m ;\' .- '1 ‘ x I l \ 'k 1 ‘4 13. ~, ‘ ‘. ' k . .3 _- \ 7 o" H , 1‘. ._ I «3. ) , H "“J ' fl {1 I I a, a .‘\ I) *\ l t‘ ‘ ’ l . ‘3 ‘ ~ , 1 / . f / J / ? i'f I 2 .9 r f“. ...: , A .1 '1 :3 ,o- ‘> x t ,4 9 '"‘ 0 ..V L. L.’ / -’ . - ' 4 I." 1 \.~-’ 3 z; :2 2.- o ? 4 ‘.L .' .1 IR ' ‘1‘! ~) 1 4 '7 «1 J .1)

’.-~n.‘:--~d~ 1...,‘,..., ,7..._V.I'I..'..,’...?v.. .9 ,- ....— s..V.»"r .,~.. ,H.V.....'.I.A _ ' . . . ‘ . I "I I -' ,A " w d .1 - J '1 3 — - ~ I’ J —., . .. f - "3 4'! c: w 3% — - ’- , I ; ‘ “\ 4 L x . ‘ I . r . . ‘ ‘ _‘ l ‘7‘ I ~ ‘ a_ i . I ‘. l q 3‘ 5‘ I a ‘ — f“ r ' 3 l ‘J I t; \J c‘\ I a ‘ ‘* ._\ 1 \‘5 :7 ‘1? J 2 gm 4 Hz“ ~42“ .2 *7? 27 ’ 3 4. 'C I 1 4 9‘ 9‘ \ 4 ...; f -r '1 ‘4'“ (.1. :: __,. ’1 "'7 '2'” .3 '7 Q! r) 5 \5’ . I w 1 5 6 , ., 5:: - ~ ; .471 'v u H“ i 8 B 7 a: -ljt: :3 «477 :57? C 9 w, J t V 10 J— v’ ”3L; 4 ’ “7551.7? "‘ _ . n. 11 f 1., I , 12 .,- H 3/ .‘4'7 r? «a. ..u- ~ I _J __ In“; (3 13 '4 x . 1 .' ‘1 14 «- 4 ,:~‘ -1 A ../Q~ 1’75" C l 15 . ,, I, r 16 _ -’ f “L ., “‘- ‘” - '4 / .0 17 - _ A ¥ fl ‘ * : f; ' w__..___.f.___ W-.._._.-_....__..__-_._ . l—| 00 I ..__ " “ 1;;th *- fl—kw—m--. 3/ .- / ;. 19 ~- ’7’ 4“ / ~" F‘ " fl ’1 " A a) U I M‘ ‘r ‘ 5‘7 ‘,_ \r s ‘ I 20 7 '\ '"‘ V L/ t I U N H ~ hr .‘ ‘l. I N ‘- 1 5 .9 .0‘ ¢ I‘ 4'— H ‘ .... ..f a g I ._ \ ~ 23 H x i _) W I 1 a M ' " A A ...-O / N 4:. I\. N UT I .\ u ‘o ‘1 f \ f 9 Remarks: Form 257-G MICHIGAN STATE COLLEGE O“ ' .9 ha,— 9 (’A I u— x .. _ ,1 ~ ,- - ~ K“ " " -‘—- ' _ ' Running Log 0‘ ...... “LX.'._:. ...,;,/_-.A ._ , / / ...... 1:: I; / I —- .r'w' . . /""."’-~ -. )— " 'r " F‘ — ........ ; .-.1..£.-."_5.«..‘.........-....-.r/._.....‘HTun}......-.....-........................-....‘.._..........;... ,.,..-,-...n..n... _- ... ................. V’.~P.:v— Observers .-~ I ..... ’-‘.193‘“ O ' . ’ r ‘ \~.‘ ' § I r a.” '. n . n . :/ /‘ -*~ .. ... .— - - - ‘ :- ~ . I . ( . , , . < . --“-..4 . I A-J A. 5-1.. .__.._“-._4--.4. ———— -——~—-‘---. t - > k [—5 A Z ‘ - ,-4; F- .v’: ./ I; ,~ h}\ /'\ 'é _ " - ‘ .. , .5 ..‘r: " . __ . - -% - ' ‘ w ”1", - , C _ O ‘1 L. . , .. . ‘ ‘ \ .V’ ’— [7 .E ) h 3 "I ‘ .’ \\ ' l. x . ‘ ._: , ‘f ~_ ;\‘ \\ ~ h) \ x; \. I I ‘- ~ , . 0‘ 7’ .\. ‘ L ’3; ®~ ‘ L s. .‘f ‘ . I I -\ ‘ \ u" ‘\ O k F) 3 J \ \ x- 2 L l ‘ r ‘1 ‘ A \ \ ‘~, \ _ H I“ I O V ‘1 “I w I / \ooouocnawm.‘ \ (. I \ t—I O I l H p—A ' 3 \ W p—a N \ 1 'I \\ Sheet No. MECHANICAL ENGINEERING LABORATORY ._ \i 5, v .7; L. UK In 13 , ‘. v NNNNh—dt—at—sI—tt-dv— OJNv—OGOONO‘xm-h‘ l: - (l‘ A t I 1 , 4 § f)) )X J ) L ~ 1 \ 1 \ *-—— w: I 1 _ A w I I w b- J I ‘- s. b ,' ' / . ~ ' a 24 I ‘c ’w 4 (0 _, g N N U"! I * K 4 A» f \ Remarks: ;... 550 54‘? . ....... 4.... F orm 257-G MICHIGAN STATE COLLEGE r " ' . " Running Log of,__ ,z —-,,:"k ’ , 7 7 .762 f r ‘‘‘‘‘ _ .7 I“ ” I "“fi‘fii' ..cr - , ‘\ \ ~/'7. ‘ “a 4. - ,< 7‘ v f \I O a 9 9 l ' . \ .._\ ‘ b A '3 I “ 5 #7 {7' \OOONONCn-th—i ‘N "7 “i I. , - ..J l0 ‘ "7‘90 I '7 If" 74‘ ,' ‘ 2, . 7.»..77 ‘/ '7 V \ ‘0 NNNNNNI—‘r—IHHF—ID—ll—dr—dr—dp—I MAWNHOGOONO‘m-BWNI—‘O I ‘ \ r . "j I * \x ‘3 , ‘ D )(Q 5 U V 3 C7 " i \ I =— ..m—__... Remarks: 7' 9/ 5" 4'7 57 fl . ._ . JP" c71.,¢\L .1: q I , L? ( ’ .. "7 "“ » f, :3" ,,‘— r K.) ' f". 5.- ~— I I ‘1 ()0 ‘A-‘ I 1 ( \J u A fl ..- .“ ,'\ r4 3 ." 3;; v -"" I w m. I L.“ » I 5‘ f .. / ‘1 I .‘ " V) ~..’ 1 ‘ i I ) ’. __’ r: ‘,/ . 5 I" / w’ W I ‘7 ”5 _ / 7 l.~~ I >< , \ ‘ 1 " \ ‘ U _ ,..- {..- é. v.- 3 Q Sheet No. MECHANICAL ENGINEERING LABORATORY In; 5 ‘L -~.-- I r\ \ " \‘7 (~ \ - 1 t r \ . C I ‘0‘ 1 ,5 r“ 4 /‘ x.’ V- w / (‘1 9') J- o \A (j x}- ‘ .._/\ f" ,— 0 V 7‘74 y v' "1 I". ...}: ’- I , I}, r, ”1 A N" V. J O 1 '1' g z , Hm I "y _ g M.- I ‘1 H x" .... ‘2 I f‘\ X I ,. 'o C V ’- ,a’f '— . [L’- ) I ~“ I ‘ ... I J ->"‘ g. \I x r .\. J 7 ...J _ 1' . \_ J] ‘V u U A p! I I f Lv { on 4‘ d j ' .3 . _- I Sheet No. ________________________ / ’ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Form 257-G r I" ' ' ' ' '- . , _ ‘ V ._ '~ I“ 7 _ ‘ . I -— 4-' ' 1.. Running L08 0f,_,t':.,.'; ______ — ; ____________ : , ,,,,,,, J .................... , ............. .’ ............................... : ........................... , ......... , ......................... r ' _.." ' , 2 : . N _h . g . I, ............ E.-..-..-.-..-.--....-.-..-.-.-‘.---.- ....22..-.2..-..._‘..._.,.........,..._.,.n..... .... . ”H... . .. ...... -u-.--.-..-.-...........H-.2...-.-“............’.... ........-..--.-- l . Lfi-r" ................................... . ................................................. Observers { J _ , _‘ ........................................................... l Date ......__..-. . 193:: N I , H. ' ... ' “T" ,-’ ,_ ._ 2'- *9. ; .0 I" I" ~ 1; . ' ...)“ I M _- )‘v‘J‘s ’/ ‘ <’ l I, )7 “ W ‘ .. I J 4 - I‘v— J ‘ 7 V ; I. * I \ '_"‘ x 1 6 ~ \‘ . x a 7 7 ‘ i d: L I I V - . ’ .4‘ 7 1‘3 7" y' '1‘ 'A / N y. j 4 d ~‘; I V , w » f u L 4 ' J 4's '7‘ ’3 J I , a ,. \ , . \OOONGUTAOJNr—‘7No' -£' .1‘ C. J ‘ C. " - f 2. 5 / 1. C) ’ :3 J ,- ~ ' J A; r. x. ' 5,7 4 C ’7 10 '2. ._ I ‘7 U’ 3 . I Q 11 ' , a...) ‘ :> 1 2/ * L :7 w‘ a .... w 7" l 41 f .. ‘- ‘, /‘ h—I N 8 ‘5 l \ I I” I) +7 F. ‘i/’ 2 -v u ') 13 \ r ' ”x ...—'4 L, I , a 1 .22» 22: {a 14 5" 2 "'3 f“ 2 .. D 15 , 2 (0 ~. " b 5 '3) 59 ; -.;.. ,‘ “ 7%? . _ w/ “I 1 16 J O 1 a Q ""- ‘ ‘- ' 17 :a 2 ‘19 2%? a : ,2; - 1 18 ' L :7 /."’ )9 1‘33 L “ IL? 4 I», .11., Q 7 '7 20 ‘7 f; I 21 L» (,1 a; - : ,;, ~ , ; f L ‘1 j 4“ , 22 a"; , x , -2 23 » 2.‘ f ‘ V" N-N 01-h 9 2 K .; PI 7‘ T: .4 Form 257-G MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE Running Log of _ ,5 x. 22.12.1- 1m 1212.. fez/.... 722129.1191211’ ...... f..l,.. ....-.-.-s-....-....‘v...h:.. ................................... ...... Q12. C0 575‘. PC112/1Z/w ....1;. *‘u. — —- f 9 ’l 7 1 7.. I v ,‘ (--’:7.1.1022;/’17 ',, .21: “:2. 2 I '2'- x x o ,5 ‘r—W’ -752: _. 71 1.1.2 a" .v . x1, 1. 2 ., —‘._ -) I “}~ . 1 H 7 1" 4.. \ I ‘ ,/'\ I l' 7 > ’ \ J‘ I,“ .~ I 7. - 3'7 ‘ \ '1 x ,1‘ .‘u' '1 \ . | 1. 4. - xJ \\ _,. . \- ‘2- 4 1 ’ . J A f \ ' . a ‘1. 2- 2: ‘« '1» .1 ' .~ 1 -= z I“ ‘1 7 \ \\ 7 7" " \5 1 ‘ . 1 ° 1, 2; b 3‘ 2 rr' '7 c s / L ' n '1‘... D .2 7': . .65 .. '3’." : .' - - 7 3 .. ; ' 1" O .r 2 J I. 4 3;” 1 7f; . x a 1: :12: .1. '1- :2 5 121"!) A _ 3 a 1:1 . ,2 6 ‘25‘0 n '1 .2: ' 7J1?) _, 1:; L 7 A 1 f2 '0 8 2'3 5: 7 .12 Q 2 2, .’ P L 7 '7' '2- 9 / ' ~ 72 -1 u * - .. i L 10 3:0 . 2’5? 1.3 1, :17 1259.: », .12 / ~.. . 11 w r “1 1. i 12 . 2 1 , — 1 -’ {fim é —/ L, 5.1. u: .3 7 " '7‘ 20 4.;- _ ..., 13 7 3 2' 2,15: (”3 7 14 339 1, 77 4 1.: a '2 1 a 1'1 11;! o 15 .1 1 -» ~~~ 2- .. - ‘2 ,j 16 7 I, p / 7 -'*' , ,r ~ A "/ =7 " “,1. 5... 0 /~ 9- (.1 /’ ~13- m5. 0 17 (I ’ {’5’ , 18 I v \ J I At" ((2 1;. O L i» ‘a’ :1] U :13", O 19 20 1’ fr 4 73’ 20 2.3177 ' '_ l» 3’0 2" .1: :1"/ 1‘ 21 K" " if ‘1 I 22 j 9 f. 2. (a O . ‘ 1 r / , n ‘/ ., ,‘ 23 qoo / 117, 1:." 1’ \ {IJQ 4’-) 6 24 L a 4 ‘1 1:4 ....31 2:- 2D_ -....1 ...: .1 -22; a _ ___ 12 -73.; 2 1. 2 Remarks: Form 257-G Sheet No. ........................ MECHANICAL ENGINEERING LABORATORY MICHIGAN STATE COLLEGE f—r‘ } ’-‘ I Running Log of_,,.,,;: ,;,,_ ’ ’ \. "...; / ........................................................... .... ......... /.+...p.*...,...‘:g-.....1..1..........".....‘-.....<......--... .... .~1..,,.--.1 1.... ,,...;:."....2./H.~ ..... ,........... .-.-........ .-..... .11 ....._.1..................1.....- ............ , t!/+Zr’ Observers ‘ ... ,5 I ........................................................... Date....~'.. is}; . 193...;— ,‘ (2;, 1. y , - , n ‘27‘ r’.‘ I: I. o'- -. 7 x r‘ ‘e 15 'i ‘ -‘ ;= “ \ '3 fl " , )Q ‘7 ' ’ ' 2v 1* -‘ : 1 . ’ ‘1 7 A , V \, J .. v _ \, . Y \ \ j .\ I ‘1 .. r' u l 7 ‘\ 44-.- O J "\ ‘-\-.. 2 1L7 1 ' '1» J 2 :2 " I \‘x 7 _ jfltfi‘__._ 5 7% i »_ t 1 n, ’\ I s...) N‘ 2 _ 1 . , 1 , .. , _’ \ _.-0 7 I 14* x E. U.- ’7 _) 3 J :3 - 1 - “...-43 4 I '4 -\ , A 'V (I) ,1 ...»O a“ ,1 l I __ / _ / _ 1“ /-. 5 '— . xi .... I. ~ I I 6 fl 7 ‘ -l - . I ' .x' ._ ' w J . I l r - ~--’ .. 1 8 1 " " _ _ / J 9 a f ,1 1—11—01—11—‘1—51—‘1—‘1—1 \chm-h-oowt—o \ 3 V ‘ \ \ l _ NNNi—IH tut—coco (\ 1) 7‘ , ‘2 -1 " f ' :2.) 1"" F; /"2 217 ”’ «2 1 . ~-"'" 7 21 2 er 7 1.1:» -. . 7 ~'* - 1 -’ " s. 'a .’ '. J‘ [\J 0.) ,4’7/ "- ) 7 I '— 7" I 1») ‘1 ' ’ f ’ , \I I ¥ w ...J 1 / ../ / - i .' ...- .4 1 ' 79 CI ‘4 _ 1 ’ v 1’ 7 .. 7 7D ‘ ’ ‘ ...,- H J . I: 2"“ .. --. I _, -._ . “ . 41. 1 “7,- )r ._( ..p .4" 1 I DISCUSSION: In order that the two-point loading may be changed into an equivalent distributed loading, the follow- ing formula was derived: L[5 i 11/3 L /3 1' . 1 L E 1» For two-point loading, Where, Minax -.Maximum live moment "he: - EL r - 1/2 Total load applied ‘3' on 18" etrip For distributed loading, L - Length of span “5.; -.gg w - Weight or distributed 3 load over 18" strip a; - _w_1._ u . unit loading in lbs. 3 8 per sq] ft. P - 3/8W Q - 6? or load applied to slab 54" wide by lever N - 3/2 HI or, P - 9/16 IL For 54' etrip, and.L -19 3/4' q-exe/iewx.-27/8:95/4w-32.9w The total live load applied is equal to Q plus 250 lbs., which is the weight of the Itruoture resting directly on the floor slab. It should be noted that the slab was designed for a total load of 98.68 lbs. per sq. ft., assuming 8 (for steel) equal 18,000 lbs. per sq. in. and that the loser flange of the "IF is of the same width as the upper flange, ‘e ..~ » ~1 1r— ?” z .gat' . ,__ g, 15 .L a" A Moment of inertia: 1/12 x .218 x €7,355 - .5911529 2 x 5 x .109 x I7ZIEBZ - 1.5555155 2 x 1/12 x 5 x 7:553 - .0005475 I - 1.758 s - I/c - 1.758/ 1.5 . 1.17 “ha: - Ss - 18,000 x 1.17 - 21,096 in., lbs. “max - wL/s - 117/8 w 117/8 w - 21095 a 1,442.45 lbs. Area of each section . 9 3/4' x 1 1/2' a 14,626 sq. ft. 1 442.46 u—l——-—- c . . o e n 14.625 98 62 lbs per sq ft The deflection eXpected was computed from the formula taken from a steel handbook for a beam supported at ends with two symmetrical concentrated loads. Dmax - “‘ (5/‘L2 - 322 where, Qua: - maximum deflection I -(Q+250)/3 a - 1/5 10 _- . ;;;;z ...z Dmax 59 (.75 x 117 . 9H1 12 x 50, 000, 000: l. 758 ' 0000539 W Forlcading near the designed loading, 0 + 250 - 2700 lbs. w - 900 lbs. 9mg: - 900 1 .000559 . .4851“ The average deflection for this loading was .2277", or less than 1/2 the computed deflection. The nerocrete filler appeared very little injured by the test. One transverse crack appeared in a section. In the other sections the Lerocrste appeared to be elastic enough to resist cracking dur to compression. Longitudinal or diagonal cracking at the ends was caused by the warping of the slab in.movement on the test apparatus. 11 901101113 ION: The deflection obtained from the various loads was too high. The variation of the deflection between the com- puted and the actual can partially be attributed to the fact that the Aeroorete filler provided arch action or longitudinal stiffness. Even if loser than.computed, it was higher than is eXpected of a floor in a building. It is true that this deflection will be decreased if the floor is securely fastened to the supporting beams by either bolting or electric welding, which is the common practice of the fabricators of this type of floor. By observation of the data it is observed that the permanent set is negligible for all loads of reasonable value. Where high values of the set are observed the steel is stressed beyond the pr0portional limit. Uhder the most severe loading there was no warping of any web or flange, verifying the statement by Mr. Schick that the filler "provides arch action for the area between the ribs as well as lateral stiffness to the ribs." In general, this type of floor construction is very adaptable where a light weight floor is desired. Other favorable considerations are its minimum thickness, incombustibility and econmmy.