' 'U'Wfl" .
l ’4'
"r.
(1‘ .

. tr?” _. .

.
- V . -
41--

 

. . - _

'v- "W 0' ‘

I
I

J

IHIHHII‘WHIHII

l
t

105
700

THS_

 

R2611: FRAME BREE-GE
FOR RIVER ROAD

Thesis for the Degree. 01' B. .5.

MICHIGAN STATE COLLEGE
George H. CuEEy
194C!

man I‘m. mu.
for 31m 30“

A mm Inbutod to

Tho funny of
nouns luto 0011030
of
Antenna:- ant ”pun him.

by

Oman» for tho Dome of
3m:- ot 801m.

«.019!»

{mass

(ZN-2..

IN'I‘RUWOT 10!

The nmwuapnbuo mom-town to nun-am
mm. lhon mo conca- flu. «gum! m. .had. on”: of the rim.
it an unkind u n In. for moving um. um! autumn flo- Oh.
{all building. on cum h in mm (told: all mm“.

Al film con-co m1: not. the “porn... ot um 28m to“
W. has n m- m. to n mu. him an to in ma
“than” hon-n. rhoconogoum'proponuhpgnmom
ou‘nfltn-‘how‘lumhhnmudmflmhmo
«not!» $0 tho .0! we tour. 1” 13mm man will N can:
Imam-d u a punt. ugh-w to: pooplo humid u m “1001'.
mum oanpuo and in. MI.

sou mn- We! to» a» tu- tho (Innat- mac. 1- n
ma. m mind um um muu nu propoua u- paw-cu u
. norm and an» m»... m. m u may and u um
and and “but "and. “tonal. um 0:. 0011050. 2h. contour 010':-
“on. mild thin Mull! foetal m wry Mann“. .0 3 1m).
mailman. u nuns-nun than"): “Math-um. hut-m:
t 107.1 m «m1. for the untold u would b. mum to In” t
M' In tho row or a» an unusual. £111 on ma um of no
first. unending {at M hundred tut 1n an out and ”I! “"0““.
Wu. the mum in n such a point hi the 11a. of 313M 1.

126“93

2

' obotmool ‘1 o ploo of mo "on molt no to!) “mono. lo an ill“.
Woudcndooho Wuhan“ tho tounhvol ofoho too!
would «an quno on monsoon uponoo.

out: No II I1“. I I negating for NI loan... a and ”I.
oouotooo mas. too-bung u gourd tho mum rm Lao bum.
mu. Mood «mm Mo on “noon” Quip ond ooubinoo null-
bani um mom annoy. It boo prom on be moo-tool. oh“:
and dunno in M and. "an“ 1: oppoofouo.

‘ Gomuono for “do mu. opooify o oloor mob of E2 to». 1'! It.
and. rum-o cm. ho 6 n. otdowolko and - olooronoo of 16 to.
“on on. own of tho Rho: flood poo-om.

lpootfloouou uood in warm thooo noooooory pflhlfli ooro
obtdnoa through on. Portland Wont Aluminum ‘

1 oioh u ooknovlodao on. ooolotonoo at“ no o: It. In” of ho
Fenland Geno“ “mutton; Br. 111110! on It. “on! of tho “CM:-
Itooo Gonogo faulty.

Problon 1.
homo Dhmolou. Axlo out Ooofflolonto

1.» Hg. 1 "pron“ . nan. mu m motrlool run m.
with oolld oomroto dock and ond ullo. Dotonlno tho (no ulo All
qoofflolonto.

’ on. out-ml an. atom ohon oo duh-Nut lluoolol‘l‘. .

It to ootlotootory to toko tho an of tho ond allo oo mtlool 11-“

2 ft. 0 1:. hoth tho toooo of tho nllo. lho ootllol loot ulo lo
‘ploool um hotvooa tho oxtndoo and latrodoox ht tho Cook ulo uool
in tho moat dlotflhutlon lo nomad to to fluid“ bot”. tho that“-
tool oornor Jouto.

m. amat- of «a: no ond nun. duoh .m' to m :- solo-tau
run mtfloionto ll'oo auto 11 m m. a» «a: duo» to ’42 to.
long3tt. on. doopotthomonoMGfl.Oll. doopotthooonor
Jointo. It will to "mod thot tho um- ot tho dot to 3 W1:
and thot thomoutoof nation-omit“ to thouhootfiolopth.

a. dot ooofilololt I111 ho «loom n. m 11. no» to
aloo- with

a! a W .- 1.00
3.00

and final-l2 mars-8. thootlfflooo ottholookot t. ”tho no-ont
othooooumtoflvohooultntotlonothohooolo m. to

8:3- or rtlnoltolee-{I-ZS‘I
In. Pu!” 2 0

jA

fwMt- flMflJ/OMJ

 

 

 

 

 

 

 

 

 

 

 

’l

I.

6

 

 

 

:0 m. :QHQN‘
T .buxw.
m
J
c“
m
2
4
_ m1— ........ 4
Tillllwuullnlla u a .
n _ ,m u u
_ z
1 lllll ”a lllll L lllllllllllllllllllllllllllll "I llllll .w
_ _ .
_ . _
. u .
n _ _ |||||||||
\ . u
_ ._
4 l _
thN.‘ L —’
thoub\ ‘1 :OH‘

 

 

:Oua

 

Tho oncl wall olomt lo a Mono“. with o thoorotiol hold“ of 20 ft.
3 in. confinod by two straight linoo ’3 ft. 0 in. wt at o ond 6 fl. 0 ll.
aport ot h. Batu Ohowt 111 with

6 «400'
run-499:3?— 0.50

out find 85 I- 10.0. 8. - 5.“. as; :- 11,85"- 3.8. l'ho otiflhooo u h oh.
.io findio Dual/L. Ihonoiohiocoa. oointhio ”no. it onto
than um tho otii‘fnooo at t io '

I o . o '82 L 'x I
shti-(l 3.“) 103‘}. WILIYJ“:

5.22. '
7.533125 23.3

rho niativo otitfnou in pot oont ot t io thoo ._

affliV-xmo-io torthohohoml
.: u ‘
WXIOOOWfOIQOflL

Probl- 2.

Dlltrflnflm of 3116‘ In In...

tho fruo in boil. 1 io othut to a find on nomt of o 100.00
in tho dock ot Joint I» oo indiootoi 1: Fig.2. . nu tho linol nooooto
.‘ ‘ Old .o

fa

|'_—L
I 0.66 I

77w {w ”WI

   

 

 

 

 

 

 

 

 

 

0
~ 30.0 - la. 0 fl/ye/oo/zo .. Q 0
r I .
O O 65:43; duff " — 6. 6 O
O O fl/Jffi/dtrlo h 7" . 6 6 3‘ 59¢
I I
0 r 0.435 C’ 19:27 Jae-c ' | 0 O
- a. — , fl " a
3.92 0 0f; Liz-cl ggee O
0 0 Cate, Out-1e .. 0. 016
o o flap/439m» " /— , 0016 r. 02.13
f I
- 90.3.9 faces 737 //o u - Jaewl fascia?
/ / I
0’ - o’

77' ‘° ‘

k.“

rho mpntotiono oro rooordod in Fig.2. . Tho tirot lino of {ignroo
oontoinn tho (iron nononto whon b and o oro fixed: Zero uni: + 100.00“
b. ooro ond ooro nt 0.

lhon Joint b to rolonood. it will bo rototod in tho oloohwioo
dirootion by tho nonont of t 100.00. Tho rotntion induooo now nononto
in ho had be. nononto thnt nountornot tho rotation. l'hon tho Joint oonoo
to root in ito now pooition. tho on of tho nowlr indnood monto in bo
one! be «will - 100.00. and tho diotributlon botwoon the two momboro i.
in proportion to their otitfnooo. Tho diotribntod nomonto. «- 100.00 x
0.10 - 10 in bond - 100.00 x 0.80 --90 in 0‘. oro gm- in tho oooond
lino. The total nononto nttor tho firot onlo of diotribution oro not
rooordod but nro ooon to bo: - 90.00 nod + 90.00 a b, ooro ma ooro ot o.

Tho oooond oyolo of diotribution bogino with tho con-yin; owor or
nomont iron tho Joint thot woo rotatod to tho Joint that ronoinod find.
Obvionoly. no amount oro wriod ovor to or from Jointo n ond i. which
no hingod in thio tron-o. Tho moat onrriod owor to I fro- b «null
10 x .66 I- 6.6. according to tho dotinition of onrrr-owor tutor. and it
rooordod in tho third lino. Tho fourth lino (iron diotribntod nonontl
obtninoi by rolonoo one! rotntion of o. tho proooduro of diotribution
nononto ntooro+ 6.610.10 so .66 in ob nndo 6.630.90-‘0 5.9310
od. Tho tot-o1 nononto oftor tho oooond. oyolo of diotribution nroa - 90.00
nnd + 90.00 a b. «- 5.913 nnd + 5.91: it o.

In odditionol onloo of diotribntion oro chi-riot! out by n prooodnro
idontiool with that in oyolo 2. Tho totnl nononto “tor the fourth oyolo
oro: ~90.39 and + 90.39 ot b3 . 5.96 ond «t 5.96 st 03 thooo oro tho find
cox-nor nomonto obtainod oftor diotrihution of tho original 1'. E. H. of

w 100.00 in to ot b.

1! on I. I. It. 0! - 100.00 io oppliod in bo ot b(i.o.. in tho on! n11
inediotoly bolow tho oornor Joint) ond’ tho Jointo oro thon rolooood. tho
flnol cornor nononto. doriwod tron Fig. 8. boooool - 100.00 + 90.00 1» .392
u «- 9.608 in bo nt 13 + 10.00 - .305 o .0185 I- 4t 9.603 in be ot by + 5.966
on! - 5.966 n o. _

thou rolotiwo oooont wolnoo will to noothl for oubooquont molyooo

by olioinotin‘ ropotition of mputotiooo.

Probl- 3.
bond land

the man of tho ond an. :- oorriod dimtly down to in. 25mm
ond orootoo no nonontI. i'ho longitudinol oootioo through tho dock to
0mm into on oroa he a. long with 3 oonotont up». of 3 n. 0 1:...
woighin‘ 319 p.o.!. Tho roonining oroo io mbdividod oo ohown in Fig.
nod tho orooo of tho oubdiwioiono. multipliod by 150. on uood no oonoon-
trotod 10.40 for dotoroinotion of noon".

1: ordor to dotonino'tho find ond oooonto. ‘ontor Ohort 11 with
d’ o 1.00 (ooo Problon 1) an! ooloot tho proper oooffioionto.

find had Honout por foot of width:

Unifot'l 10nd
270 x 60‘2 x .102 . 57.1.13 to. 1b.

2970 a: he 3 0.83 - 8.610
015 n ha a 0.132 - 6.668
1711 3 he x 0.195 - 13125
17!. 3 I12 3 0.12 - an
875 x 112 x 0.0145 - 1.65»

21170 1.: he 3 0.01 2.492.

19.358

‘i’ho totol moot whon tho dock io otroicht io
19.355 x (0.9039 + 0.0596) - 13.900 :1. lb.
ond prodnooo tonoioo in tho ontoido of tho ooroor.
Oorrootio; thio ooowot for mntoro of tho look oooording to loo-
tion V111. on rioo at tho dook- oootorlino in m. 1 tom 1 ft. 6 11..
tho {inol oornor nonoot io

18,300 3 WI- 18,200 ft. lb.

tho orown oonont for otroiflxt dooh oatorlino can now bo found by
ototioo. 11:. total postiwo nooont ooo-ioc o oioply onpportod dock ion
2m n he a 0.09 - 93k
875 a 162 x 0.225 . 8.270
170 x '02 n .919 I- 3.070
1/8‘ x 375 112:0.w
' + ’ 95.073 to. 11. _
m difforonoo botooon thio moat nod thonoutiwo oomr out
orootod by tho ouo loodioc.
95,0?! - 18,900 I 76.67“ ft. 13..
lo tho oooont ot tho orowo of tho {no-o with otroizht M.

" £019pr

74

 

 

 

 

 

rL: 43/ 0
. ’ . z ‘3
£17 9.- 9090677“! a. 9/ 0.74.! a. 43/
(and t
z, 470 .97: " //r "
[01869 514.9 a? a: x /o’2

=77;- w

 

Gomot for onmturo of dooh ond dotonino tho final crown noooot
(toooioo in tattoo of dooh): :- 79.600.
rho totol dood lood of tho from. ono foot wido. io

Ioorinc '11th 15 x ’42 630
‘ book: 3 x ’52 x 150 13.900
Book: 0.3} n 3 x ‘12 x 150 6.300
Canon: 3 x 6.25 x 2 x 150 4.6a

62.52
tho wortiool nation on oooh footiu it I
0.5 x 62,000 or 31.200 1b.
Rho horioootol thrnot ot tho footing. whon tho dooh io oorwod. io
m
20.25 ' 9°°’°

tho orown thrnot oloo oqnolo 900.0 lb.. oinoo oll tho loodo oro
growity loodo.

l'ho nooonto. thrnoto old ohooro for Cool load oro ohown in Fig.3
(.0. 1.1... "

Probl. h.
i Liro loot

u. a... 1: mu- 1 oorrioo o oonoootrotod liwo 10.1 of 0.750 it.
)or foot of width ioolodio; ollowoooo for iopoot. l’ind tho onion
oooooto ood tho throoto ot tho orowo ood ot tho oat-nor.

lotio- oooont 1o pnduod ht tho crown who. tho oonoohtrotod loo!
1. ploud n tho nidpoint ond tho nutr- lood ooworo tho ontiro opu. '
m fit-It otop in tho mu:- 1- to dotonino 11. um ond mat
oootfioionto by ontoring Ohort 11 with d' I 1.0

Pilot hi Ionont por foot of, width!
Ufl1f¢fl 10m 3750 n 1122 x 0.102 . 1.575.000 ft. lb.
lynoing thowolnoo tron Problon 2. tho cornornooont io townd to bo
1,575.00 3 (0.9039 1: 0.0596) - 1.530.000.
i'ho totol pooitiwo crown nooont ooonoing o oioply apportod dock to
0750 n 21 x 0.5 x 21 - 1.939.000 rt. lbo.
tho ditforonco botwoon thio oonont ond tho nogctiwo cor-or oooont
crootod by tho oono loodiog.
1.991.000 - 1.530.000 .. 9011.000 :1. 11...
in tho nooont nt tho crown of tho from with otroight dock.
corroot for oorwotnro of doth ond dotolnino tho tiool clown nooont
(tonoico in bottoo of not): .. 372.000.

to. cor-or nooont whon tho dock to corwod io 1.530.000 x 21.22- 1.120.000
21.75 11.11.

Tho ocrrooponding horizontol ‘thrnot 1- 1.32%? - 70.100
tho worticol roncticn on ooch footing in 8750 x 0.5 x 32 or 183.750 lb.
lotion no-ont ot tho ccroor bcint 1.0 in Ohort 11) lo proohood with
onitoro lood our tho ootiro opon ond whoa tho concontrotod lood io ploood
ht or ooor ’01!“ 0.625. m. 1. owidont by inopocticn o! Ghorto 1 nod 11.
rho following wolooo oro obtoinod with tho loci of 8.750 lbo. ct point
0.625. W
Iinod hi hunt por foot of width
ht point 1.0 . 8750 3 I12 2 .20 - 73.500
ot point 0.0 I- 8750 x 32 x .10 1- 36.750

10

Oonor oooont nttor diotribotico («cording to 11¢. 2a)

ct 1.0 '- 73.500 x .739 to 36.750 x .127 . 59.660

nt 0.0 I- 73.500 x .127 + 36.750 x .799 I- 36.825

W cor-or nonont (incl. nniton lcod) ohon dock to ctrnidlt
59.660 «1 36.825 x (.7'49 + .127) - 92.000

union cot-nor nooont nllowing for ourwntoro or dot

92.000 x .91} - 39.500 1b. 1

Robin 5.
Chi-go in hoogth of Pooh nod lorioontnl Dioplocooont

A rolntiwo ohnngo in loogth of dock on bo oithor n ohortoniog (t.-
yorntoro Iron. ohriohoa. ontword dioplnouont of tootiogo) or n longth-
ooing (t-porntnro rioo. innrd dioplnouoot o! tootiuo).

nowuo mt tho tracinrroblc lio anootto ndoohohortoning
tooto (n) tonyorntnrodrcpotW!" (b) ohriohogooorroqondiogton
m inotor of 0.0002. not (0) ontwnrd horiocntnl dioploo-ont of tho
tootingo o'gniwnlont to n ocotrooticn ooofi’icioot of 0.0002.

11. ohortoniog por unit of longth to

I15 1 0.000006 + 0.0002 0 0.0002 . 0.00067
on. totnl ohortoniogin tho moth! toot io
0.00067 1: I12 . 0.0! It. - 0.02

no. in oqniwoloot to no ontwnrd dioplno-oot of 9.01 it. nt n and d.

Ihon onnlyoing tho from by nooont diotribntion. bogin by lodiog tho
Jointo b cod 0. m. 4 illutrntoo tho ototic oooditiono iron which tho
find old molt nt b to dotoroinod. It can bo ohcwn thot

r. I. o. nth-Wxxxfitxu-gq) -

g} x 105205.12?) 5.9.9,}. , 13.3 , (17:02 121553) a: (1 33.32 . 3911.700 21.11..

11

According to Probloo 2. tho fonnln for both oornor nnd crown nonont - whu
dock to otroight . any bo writton no
tionont - 3911.700 (1.000 - 0.900 - .0092) - .0596 -= 11.911.00
Iinnl oononto «- nllowing for cumtnro ct dock - oqonl
cor-m 11.011 3 52:35. 2 - 10.292

0mm 11.011 x 99.222- 10.071
21.75
Froblon 6.
tooth Protonro

in out rigid i'r-o bridgoo. tho wnllo nro rolntiwoly ohort nod otnbby.
1n thooo cnooo. oorth protonro nononto dotoroinod by nonont diotribntion
nro oonoitiwo to ohnngoo both in from oooftioionto nod in tho noouod
cnrwntnro of tho doch. Iinco. in oddition. thooo oooonto oro bnood upon
nncortnin oomptiono incidont to tho conwontionnl oorth prooonro thocry.
n rnthor poor dogroo or my any to oxpootod. innlyoio tor oorth
proton-o by oooont diotributioo ony thon bo nnontiofootory.

in cooporioon with tho ottoot ct othor londo. oorth prooonro nononto
nro gonornlly of littlo import-mo in otrooo dotouinntion. 1n thio
on-plo. tho cornor nooont dno to oorth prooonro io looo than 2 por cont
0! that wood by dond plno liwo 10nd ond nny thoroforo bo dioroprdod.
it tho crown. both dond nod liwo londo cronto toooioo nt tho intrndoo.
whilo oorth prooooro orcntoo tonoion nt tho oxtrndoo; it to thorohro ooro
concorwntiwo to dict-card tho oorth prooonro oooont nt tho crow.

//.q

671% a
6'3, coo\

 

 

 

 

 

 

 

 

7&0 66.52.:
:0
Jamar /J‘ ”569347.69 .3
Z. A (a) J; y /&d
f 6030 T
{a
d: 753. o

44 .130 \ l ‘ f¢4ioa

 

 

 

 

 

 

”A (b) ‘L

12

Probl- 7.

Di ooynnotry nnd lidocwoy

11 tho front or londing io uoyonotricnl. tho nonont diotribntion
notbod no noon-too ond oppuoa in tho {ongoing giwoo'horioontnl thrnoto
thnt opporontly do not ontiofy tho otnticnl roqnirooooto for «011111-11...

l'or illnotrotion. toho tho from in fig. lcndod with (.750 1b. nt
yoint 0.625. tho oornor oooonto. 'dotoroinod in Problon b for otrniat
dooh. nro » I

nt point 1.01 59.600
nt point 0.01 36.625
lrho corroqcnding horincntnl thrnoto nro

%%-Mntnfl
fi-um

n. nlgobrnio on of tho horiocntol {ct-coo in 2.900 .. 1.820 - 1120 lb..
but it ohonld bo worn to ontiofy tho otntic roqniroooot thnt tho I. of tho
pchootiono of nll oxtornnl iorooo on ony lino not to oorc. Thio opporut
diooropnoq will bo clnrii'iod by tho diocoooion of oidoowoy whim followo.

1t io owidont thnt tho dock bo in m. (o) will tond to now .1...
wioo rolntiwo to n ond d whonowor tho fro-o or tho londiog io onoylootrionl.
nod oloo thnt n lntornl dioplnc-ont of to will not up oooonto'nt tho
oornoro. lotor to Probl-o 2 cod it not! oboorwo thnt no find ond oooont
doc to dioplnc-ont of bc woo imolndod in tho onolyoio. no oigniticonoo
cf thio oniooicn io thnt pointo b onto 0 hnwo boonhopt in thoir origionl

13

pooiticn worticnlly nbowo pinto n ond d; or. no it in collod. oidoowny
of tho fr-o hno boon prowontod. .

It in cbwicnn thnt on ontornnl forcc not bo nddcd in tho lino bc
whon horioontnl dioplnconut of 110 in to bo prowontcd. lho lnwn of
oqnilibrinn rogniro thnt tho torco oqnnl 1133 lb. tho londo. roootiono
ond donootod onio for tho from in which oidoowoy io promtod oro ohown
in fig. (n). no toroo of 1120 lb. in bo inorooooo tho worticnl ronctioo
nt n (old dooronooo tho vorticnl "notion nt d). thoroby noting it coal

8.750 n figs-1+ 1120 1 %§- 6.090 1b.

tho tondoncy of o. otrip of iron to nowo horioontnlly no indicntod

t0

nny bo ocnntornctod by oithor tho ndJnoont otripo of tho two. by tho
bnohfill or by tho oppronch olnb. rho occuption thnt no owoy tnhoo
ploco io thorotoro profornblo. oopocinlly oinoo it giwoo tho grontor
oornor nonont. It ohnll bo illnotrntod. howowor. how rondily rownlto
obtninod by nonont diotribnticn nny bc ndJnntod to nllow for tho nor-p-
tion thnt oidoowny io pornittod. Oonoidor. tor onplo, tho from in.
onnlyood by nooont diotribntion. in which n foroo of 1120 lb. io roqnirod
to prowont oidoaoy. mininnto thio {coco by odding onothor oqnol bot
oppooito foroo'in bo. oinoltonoonoly dioplocing tho dock horioontnlly in
tho diroction {rub to c. Dotornino tho 1'. I. h. old thonbynonofl
diotribntion . in o honor oinilor to thnt in Probl. 5 .. tho finnl cot-nor
oononto. thio gonorol prooodnro con orton bo oinplitiod. in tho fro-o
for onoplo. tho nddod forco of 1120 lb. obwioooly orootoo tho o-o hori-
nnm “not In each home. nonoly. 560 lb. rho tctnl horinontnl

lit

thrnnt nt both footingo whon oidoowoy it pornittod not thoroforo bo
2.9110 - 560 - 1.520 + 560 .. 2.380 11..
nnd tho oornor oononto nt Jointo n ond b nro
2.300 x 20.25 c I36.250 ft. lb.. coy r18.500 ft. lb.
nu oorrooponding nnnim nogotiwo «not» nonont in 59.000 whoa
oidoowoy io proratod.

21-0le 8.
lhooro

ho trono ini'roblon 1 io oanoot to doodondliwo 1on1. loch ohorton-
iognndonrthprooonro. tholondooro tho oononoinrrobl-o 3. h. 5
not 6 onopt thnt tho ooncontrntod liwo 1ond for ohonr onloolnticno will
bo tohon no 10.000 lb. inotond of tho 8.750 1b. nood i‘or nonont colcnln-
ticno. lint thonnnin- tctnl ohonrnnduit ohooringotrooooont (n)
tho orou. (b) tho oornwr. and (c) tho top of tho footing.

(n) Orown. hodooriooorodnotodondlond. doohohortoningond
oy-otrionl oorth prooonro. tho oorroopcnding nnit ohooring otrooo in

. 0 C 1.
1'2"“: 73": “Ex 3° ’ '

hrthor inwootigntion of tho ohonr bnood open tho noon-pticn thnt oido-
owoy io promtol (ooo dioonooicn Problon 7) io onwnrrontod.
(t) Oornor. tho totnl dond 10nd tron inoo to loco of out wnllo io
Inning “rim; 1.5 x ‘32 I 630
Books 3xt22150-1t.900

mt0.33x3xuzx15o-m
25.830

15

Ihonnninnnohonrdnotodondlondio
21.23.12.909 n.
2

ho ocrroopcnding nit ohooring otrooo ito

wizfiQ-x—S-a-Ep. o. i.

(o) 109 of looting. no onion ohonr oqnnlo tho horioontnl thrnot
nt tho onpport. nu dood lcnd thrnnt io 1.2%...22- 900 1b.. ooo fig.
(n). fho nonin- hcrinontol thrnot doc to liwo 1on0 in product! by tho
ouo 10nd nrrongonont thnt onnooo nonin- ccrnor nonont. tho nonin-
cornor nonont. doriwod fr. tho onnlyoio in Probl. t. in

12.7%.: 59.600 + 32,200 . 01.000 + 32.200 - 96.200 ft. 11.

with otnniat dock; bot nllowing for oorwntnro of dock it oqunlo
96.200 x 5%; - 93.000

no horiwontnl thmt io
115m I 9,330 lb.

m horinontnl thrnoto prodncod by oorth prooonro ond dock ohorton-
ing ountoront tho thrnoto dno to dond not not 10nd. it it thoroforo .
on tho onfo oido to diorogord oorth prooonro ond doc ohortoning nod to
tnho tho noxio- ohonr no
900 2 “MO - 5.330 It.
tho ocrrotponding unit ohooring otrooo io

12‘ 315?. .o ‘o

l6

rroblon 9.

Strooooo nt Grown nod Oornor

rho from in Probloo 1 io oobJoot to dond 10nd. liwo load nod ohnngo
in loogth of dooh. n ow-ory of thooo londo ond tho nononto nod thrnoto
thoy oronto. Ghoooo tonoilo nod nonproooiwo roinforc-ont ond nooortniin
thnt tho corrooponding unit otrooooo do not cooood tho ollownblo working
otrooooo. which will bo choc. contorwntiwoly no i’. I 18.000 ond
‘0 I 1.000 p. o. i.

tic-onto nnd throoto nt tho nidpcint of tho dock nro

 

 

, - lam! A .
Bond Loni «t 711.600 4- 900
Liwo Iond «372.000 «170.100
M 1! M m *M .zm
tot-1 +1156. 670 +70.500

Incontricity with roopoot to oontorlinot W . 6.5 - 7: in.

 

tho tonoilo otool nron for thio nonont nod throot nnot bo oooowhnt
loco thnn thnt roqnirod whon tho oxinl thrnot io diorognrdodg n-oly

it . _
W15 8.1 to. in.

‘Iith n roqnirod otool nron of 8.1 forthor conpntntiono' pnowo thnt
thio typo of boa it not onttioiont for noon n gront nonoot. h 36 in.
to- wno nood no ‘n linit for wothnbility. onponoo nod otrongth wolno
but thio bridgo wonld roqniro n boon twico thnt oioo.

17

Homing tho upon tutor to 25% man not rooult an o bonding
no-oot “(flotatly .oll to yahoo o hoo- vithln tho 36' lhlto.

to o rooult of thooo flnol ooloulottooo. 1 tool Jnotiflod to oor
thot o 11;“ ”no mo.- of thio opu. to not proottool m to

omort on 1.60 Ooopor who mu.-

BIBLICGRLPKY

“001th from Dough Hood for Gomoto High“: W.‘

A. O. Boyd... Mouth; Ion-loco“. Johnny ll. 1923.

M'- 73.75-

‘Molyoto of tho ltrooooo in tho an; of o Oohuoto Ito! huh.“

J. G. Rothbu. Tron. A. I. 0. 3.. 192‘}. pp. 611.6”.
'loooorohoo in Gout-on.“ I. I. Hott. Bullotlh 2%. Potato “unity.
"£1514 homo in Oonaoto Brim Oonotmtlon,‘ A. O. Haydon.

haunting loot-lucid. April 29. 1926. pp. 686-689;

Indooorlu Ion-loco“. Aunt 12, 1926. p. 273.

'tho looontlolo of 11314 ”no Doom.“ 1. H. Hoodoo. Oomoto.
Octohor. 1927. pp. 13-15: “unto. lav-hot. 1927. pp. M345;
Oomoto. Don-tor. 1921. pp. 3742.

'Ihpltflod had Fro-o Donn." lord: Orooo. n. A. 0. 1.. Boo-tor.
1929. pp. 170-183.

'Ooot mono-loo to Oonmto Bruno.“ 0. I. lohllom. Inc. 10th
Annual looting of tho Kuhn: louu'oh load. 1930. pp. 281-323.

”In“ from mu..." lord] Grooo. lollotln 353, nor. In. Inc.
Loom. pp. 580-588.

ROOM USE ON”?

 

 

 

I AN STATE UNIVERSITY LIBRARIES

0

3 1293 3047 1464

MICH G

 

i
1
..
c).
4
‘.
§ 4
‘.‘
t
J.
.‘
I
'r'
If].
. '1
' I.