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Instruments for measurement of dynamic stresses (or strains) in temporary steel structures
Ser TH1 392 no. 7 e. 2
,m
INSTRWEMTS FOR~ A S ~
OF
E D ~ A M I C STRESSES ~ T(OR
STRAUS)IN
TENPORARY STEELSTRUCTURES
by
W.
R. Schriever
Abstract
Measurement
of
s t r e s s e s in temporarysteel
stnzctures,such
as girders, struts and p i l e s , used d u r i n g construction of t h e Yonge Street Sub- way a r e being made in co-operatian with t h eToronto
T r a n s p o r t a t i o n Commission,while
stressesdue to dead lead and e a r t h pressure
a r e
static, it is necessary to o b t a i n a continuous s t r a i nrecord
by meansof
an
oscillograph t o determine t h eaddi-
t i o n a l dynamic s t r e s s e s due t o
live load,
The ob-j e c t i v e is to ascertain t h e
maximum
stresses and t h e frequencyof
theiroccurrence
in o r d e rto cam-
p u t e t h e
maximum
l o a d s and their d i s t r i b u t i o n todetermine whether t h e design l o a d s used at present
a r e t o o conservative, S u i t a b l e i n s t r u m e n t s
which
could b e used
f o r such an
investigation a r e des-c r i b e d a n d
relative merits
o f t h e equipmenta r e
discussed.
Lists of manufacturersof
s t r a i ngauges and amplifying and recording equipment
a r e
included,'
33y535-/
IN
STRWdlX4TS FOR 14EA5URmEi4TOF
DYNAV!IC STRfiSS&S(OR
STRAIN) I N THfl TrnPOBARY STZEL STRUCTURESby
W.
R , SchrieverIntroduction
& I
The,construction of the Yonge S t r e e t Subway by t h e
Toronto T r a n s p o r t a t i o n Commission provides an unusual opportunity to i n v e s t i ' g a t e soil a n d foundation conditions in t h e Toronto a r e a and to study some r e l a t e d d e s i g n and construction problems. A orogramme o f co-operative work was therefore suggested by t h e
N a t i o n a l Research Council and the T o r o n t g Transportation Commis-
s i o n , t h e results o f which
will
contribute to the knowledge in this f i e l dof
engineering in g e n e r a l a n d will be of v a l u e t o t h econstruction i n d u s t r y o f Canada as
well
a s to the Toronto Trans- portation Commission,Among
the
l i s t o f investigations is t h e measurement o fstresses in the temporary structures, such as girders, struts and p i l e s used in the
cut-and-cover
method. Measurement of s t r e s s e s in these members is b e i n g c a r r i e d out fortwo
purposes:(1)
A s a check of t h e d e s i - s n of t h e temporary structures, i.e. in o r d e r to compare a c t u a l stresses w i t h allow- a b l e s t r e s s e s .( 2 ) In o r d e r to d e t e r m i n e t h e e a r t h pressure a c t i n g
on
the sides of the subway excavation under v a r i o u s conditions-
VY%ile the stresses due t o dead l o a d and e a r t h pressure are s t a t i c , t h e s t r e s s e s due t o l i v e l o a d ( s t r e e t c a r a n d motor t r a f f i c ) a r e transient a n d a l s o , to
a
c e r t a i n extent, oscillating, dependins on shock effects of t h e t r a f f i c and the vibrationcharacteristics
of
t h e d e c k . Therefore, w h i l e it is sufficientto measure the s t a t i c stresses periodically b y means o f a mecha-
n i c a l
s t r a i n
gauge, . it i s necessary t d o b t a i na
continuous s t r a i nrecord
by means ofan
o s c i l l o g r a p h to determine t h e a d d i t i o n a ldynamic stresses due to live l o a d w i t h t h e a i m o f f i n d i n g t h e maximum stresses occurring a n d the frequency of t h e i r occurrence,
Only
in this way is it p o s s i b l e to coinputs, from t h e determined maximum stresses, the m a x i m u m l o a d s a n d their distribution andt h u s to find o u t w h e t h e r t h e d e s i g n l o a d s used
at
p r e s e n t a r e t o o conservative.F o r t h e measurement o f t h e s t a t i c s t r a i n s , an $-inch
b e i n g
used which
measures t h ed i s t a n c e ,
or change ofdistance, of
t w o small
holes drilled
into the s t e e l . F a r the measurement oft h e dynamic s t r a i n s , it i s intended to u s e
electrical
gauges;e i t h e r r n a ~ n e t i c o r resistance
strain
gauges. b i a s n e t i c (or in-d u c t 2 n c e )
s t r a i n
gauges andalso
unbonded w i r e r e s i s t a n c e s t r a i ngauges have
a
better longlife
s t a b i l i t y and are more rugged than bonded wire resistancestrain
gauges, a l t h o u g h t h e latter a r emuch lower in c o s t . The o u t p u t of t h e gauges
(or
b a l a n c i n g S r i d g e circuit)is
u s u a l l y amplified a n d . c a n t h e n be fed into an o s c i l - l o g r a p h recorder, o f whichthere
a r e a greatv a r i e t y
o f types.The question of the rhost s u i t a b l e equipment f o r the present investigation i s a v e r y i m p o r t a n t one. Kuch h e l p f u l
in-
f e n n a t i o n h a s been received by c o r r e s n o n d e n c e and during discussionso f this problem. Considerable time h a s been s p e n t on a thorough study o f
this
information, which i s b e l i e v e d to beof
such v a l u e , n o t o n l yin t h e
present work but a l s o forfuture
r e f e r e n c e , t h a t i twas decided t o p r e p a r e
a
summary, which is now presentedin
this B u i l d i n g Note.In
view
o f the large expenditureinvolved,in
t h e pur- chase of this equipment ( a s - a multichannel instrumentis
requrired)a n d t h e i m p o r t a n c e o f
the
inst?uments, n o t o n l y for the p r e s e n t work but a l s o f o r o t h e r u s e s in t h eDivision
of Building Researchlater
on, t h i s Noteis
s e n t to a l l thosewho
contributed tothis
i n f o r m a t i o n
and
to o t h e r i n t e r e s t e d persons. Go:aments and sug--
gestions a r e welcomed from readers, as they
will
facilitate thed e c i s i o n on t h e equipment best suited f o r this work.
In
the mean- t i m e , while this Mote is u n d e r consideration, it is hoped that it w i l l b e p o s s i b l e toc a r r y out
a
preliminary test with borrowed instruments, so t h a t on the b a s i s of t h e comments received and t h e r e s u l t s of t h e prelimjnary test,a
well-founded d e c i s i o n will be p o s s i b l e ,Acknowledgements
The s u b j e c t matter
has
been discussed with a number o f p e o p l e working i n t h i s f i e l d who have contributedinvaluable
i n -formation, which is gratefully acknowledged. T h e list includes ~e
f
oxlowing:Kr, H.C,Ross,
Dr.
A,D,Hogg, a n dMr.
W,L.Gibson, StructuralRe-
search D e p a r t m e n t ,
H
.Z.P .C,
O n t a r i o , Toronto, O n t ,14r. "!.J.Turnbull, S o i l s
Division,
U.S. Corps o f ~ngineers, Water-ways Experiment S t a t i o n , Yicksburg, TJIiss,
Dr.
F .Tit .Lea, 3 u i l d i n g Research S t a t i o n , G a r s t o n ,G.
VJatf o r d ,Nr. R.F.Blanks, Research
and GeolopyDivision,
U . 3 . aureau ofReclamation, Denver,
C o l .
Dr.
V.H.Glanville,
RoadResearch
Laboratory,Harmondsworth,
Kiddlesex, England.
Dr.
F-Aughtie, The Institution of E l e c t r i c a l Engineers, Savoy P l a c e , V i c t o r i a Embankment, London,!!'.
C. 2, England.D r . T.W.lpJ,'lodek, Department
of
Resources and Development, O t t a w a ,Ontario. - :
Dr.
O.V.Ellis
and ICr. P.E.Cavanagh, Ontario ResearchFoundation,
T o r o n t o , O n t a r i o
Nr.
D.E.Paasons,U.S.Bureau
of Standards, Washington, D . C .F4r.
H
.
B
. S u t h e r l a n d , Dept.
of Civil
engineer in^, The U n i v e r s i t y ,Glasgow, Scotland.
J
B.G.Ballard
a n dKessrs.
C.F . P a t t e r s o n , F .G .Creed, andN
.L.
h ~ s t e r s , Division of Radio and
Electrical
E n g i n e e r i n g , National Research C o ! ~ n c i l , Ottawa.Kessrs. W.J.
Cox,
F,R.Thurston, andJ.P.Uffen,
Division of Mechanical En~ineerins,National Research
Council, O t t a w a .and a number
of
a q e n t s of manufacturers of strain measuring andMeasurement of
Stresses
in Beamsand Trusses
o f t h e Temporary
deck in^
Fig.
1 shows t y p i c a l cross-sections-of the
t w omain
types af She temporary s t r e e td e c k i n g used
d u r i n g subway con- s t r u c t i o n .F o r t h e strain measurements
on
t h e beams, the p r o -cedure is a s follows ( a s i m i l a r procedure b e i n ? followed-for the trusses] :
3efore the beam
is
stressed, gauge h o l e s a r e d r i l l e d forthe measurements with the mechanical gauge in s e v e r a l
( u s u a l l y three) cross-sections and z e r o readlngs
are
taken. I n order to d i f f e r e n t i a t e between bending and compression, at least two s t r a h measurements must be o b t a i n e d in e v e r y c r o s s - s e c t i o n , ope near t h e top and the o t h e rn e a r
the b o t - tom o f the beam in which the s t r e s s e s are to be determined,For r e a m n s - o f : accessibility, the r e a d i n g s a r e t a k e n
on
theweb.,
near t h e -flanges, ' * -( 2 ) Aft'er t h e beam
is
'sat i n place, s t r a i n readings a r e taken a tv s r i o u s
s t a g e s o f c o n s t r u c t i o n , y i e l d i n g bending s t r e s s e sdue to dead weight o f d e c k i n g and compression stresses due to the e a r t h pressure,
which
increases a s e x c a v a t i o n is carried deeper.( 3 At
a
o o n v e n i e n t time, t h e e l e c t r i c a l gauses f o r t h e measure- nent of t h e additional stresses due to t r a n s i e n t l o a d s(traffic) a r e a t t a c h e d to the
beam
next tothe
gauge h o l e sf o r t h e mechanical gauge. Readings w i t h the mechanical
gauge
are
continued p e r i o d i c a l l y at timesof
no traffic. I nt h i s way, a c b n t i n u ~ u s comparison of t h e
electrical
and the-mechantcal
gau,yes is ~ o s s i b l e , and t h e - " z e r odriftw of
resistance w i r e s t r a i n gauqes,should
this t y p e of e l e c t -rical gauge be bsed, can pr3ctically b e e l i m i n a t e d . Static Stresses
As already mentioned, a mechanical
strain
gauge ( o r extensometer) of the Berry t y p e [made by F .F . N e t z g e r &L Son, Phil*d e l p h i a ,
Pa,
) is being u s e d f o r the measurementof
static s t r e s s e s ,One
d i v i s i o n on the dial of this gauge, which hasa
base of8
inches,corresponds to a s t r a i n o f 1 2 . 5 micro-inches per inch, o r
375
I b .per square inch stress in s t e e l . Far t e m p e r a t u r e compensation, with e v e r y r e a d i n g a second r e a d i n g is t a k e n on a m i l d steel reference b a r ,
which is put on
the
structural member sothat
itwill
assumet h e same temperature
as
t h emember.
Stresses due to T r a f f i c Load
An important question in t h e selection o f the recording equipment is t h e type o f stresses t o b e recorded, i,e, t h e i r
v a r i a t i o n w i t h t i m e ,
The n a t u r e of t h e stresses caused by s t r e e t c a r a n d motor
traffic is
similar
to t h e s t r e s s e s due t oLive
l o a din
r a i l w a y a n dhishrvay b r i d c e s ,
A
wheel of e i t h e r a s t r e e t c a r o r an automobile p a s s i n 3 o v e r a beam of t h e d e c k i n g causes strains which c o n s i s to f a p a r t , caused b y t h e static load of t h e w h e e l c o m i n g
on (and o f f )
and
a superimposed p a r t due to the v i b r a t i o n o f thebeam when excited b y shock effects r e s u l t i n g from the r o u s h n e s s
of
t h e s u r f a c e on which thewheel
travels. A s a n e x a m ~ l e , af i g u r e from
a
paper e n t i t l e d "Description and Analysis af t h e3 r i d c e Impact T e s t s made by t h e Pennsylvania R a i l r o a d at Chester,
Pa.!'
(proceedings o f Che AmericanRailway
Engineering -?ssociation,19k1,
paTe432)
is reproduced as F i g . 2in
this Note, showing s t r a i n s in a plate g i r d k r of5 5
feet LO i n c h e s span measuredin
the middle o f t h e s p a n by means o f m s g n e t i c strain gauTes (inst- ruments No.
1,
2, 3 ,
a n d4 )
acd a l s o vertical a n d lateral de- f l e c t i o n s measured by instruments of a d i f f e r e n t principle(instruments
No, 5
and61
.
These s t r a i n s resulted f r o m the t r a n -s i e n t load of
a
steam Locomotive t r a v e l l i n ~ at a speed of46
milesp e r h o u r .
F o r t h e beams o f t h e temporary subway d e c k i n s , i t is n o t q u i t e c l e a r , at t h e p r e s e n t s t a E e of construction, how impor-
t a n t , i.e, how l a r y e , t h e superimposed v i b r a t i o n a l p m t o f t h e stress is compared w i t h the mean stress as illustrsted in F i g , 2,
In
view of the h i ~ h c o s t of oscillograph e q u i p m e n t , one must a s k , of course, w h e t h e r the vibrztional part o fthe
stress is of ar n a ~ n i t u d e which would j u s t i f y
more
e x p e n s i v e equipment thanwould
b e required'to measure the mean stress. However, it seems t h a t
oscillographs with a low frequency response ( e , % . E s t e r l i n e A n ~ u s
Recording I'iilliameters, r e s p o n s e t i m e 0.5 -1 s e c m d ) are n o t much
lower
i n c o s t than direct-writins oscillographs 7;:ith a medium f r e q u e n c y r e s p o n s e ( e , ? , BrushOscillograph,
frequency response c l a i m e dup
t o 120 c y c l e s per second). T h e r e f o r e , especially with regard t o - o t h e r uses of t h e strain recording equipment l a t e r on, a t y p e o f instrument c o v e s i n s medium frequencies often occurring in structural work would b emuch
p r e f e r a b l e .An idea o f t h e frequencies to be expected in the beams
o f t h e temporary subway d e c k i n 5 was o b t a i n e d by recording the vi- bration o f one of the beams under traffic by means of a portable Leet Seismographe The result w a s
a
n a t u r a l
f r e q u e n c y of a p p r o x i - m a t e l y45
c y c l e s p e r second,P i a ~ n i t u d e .--
of
+-.---Traffic
LoadsIt
has
a l r e a d ybeen
mentioned t h a t thes t r a i n s
are b e i n gmeasured
in
several cross-sections o fa
beam. T h i s i s done b e - cause it is intended not only to find t h emaximum
stresses but also to determine f r o m t h e s e stresses the maximum traffic l o a d st h a t occur and t h e i r distribution. I n this way it w i l l be possible to ascertain whether t h e design Loads used
at
p r e s e n t have beenr e a c h e d or not, i , e , w h e t h e r they s h o u l d be r e t a d n e d
or
reduced inf u t u r e d e s i ~ n ,
The distribution o f a l o a d acting upon a d e c k i n g beam can b e determined f r o m t h e b e n d i n g moment d i a ~ r a m , found f r o m
stresses. As this can b e done w i t h reasonable accuracy only if
t h e stresses a r e known
i n a
number o f cross-sections, t h e stresses a r e measured at t h e c e n t e r and at the q u a r t e r points o f the b e a m ,T h i s means a minimum o f six gauge lines f o r a beam in which t h e
strains must b e recarded
in
o r d e r to find simultaneous stress oeaks. Therefore a m e c h a n i c a l oscillogra?h r e c o r d e r is r e q u i r e d . As each c h a n n e l is a p r a c t i c a l l y s e p a r a t e unlt composed o f t h e active gause, the dummy gauge, the balancing bridse and itspower s u p p l y (sometimes c o n t a i n e d
in
t h e amplifier box), t h eam-
p l i f i e r and t h e oscillograph recorder, t h e h i g h c o s t o f asix
c h a n n e l
installation
is understandable. InstrumentsOn t h e f o l l o w i n g ages are lists of a p p r o p r i a t e instru- ments (gauyes and recorders
7
produced by manufacturers of straingauzes and amplifying and recording equipment. Also s e t out a r e references on the subject matter. These l i s t s and references
have been
compiled
on Ghe b a s i s o f information kindly s u b m i t t e d ba
number of those i n t e r e s t e d inthe p r o b l e m
( s e e acknowJledgernentswith
a view t o g i v i n ~ complete information r e g a r d i n g the variousi
availableinstruments,
No complete i n f o r m a t i o n can b e given r e g a r d i n g t h e
com-
p a r a t i v e c o s t o f v a r i o u s makes of instruments, a s t h e c o s t o f only
a f e w of them
is
known to the writer. T h e c o s t o f asix
c h a n n e linstallation w i t h
6
magnetic and6
balancing
gauges, ( c a l i b r a t i n gs t a n d e x t r a )
in
Canadian funds, sales t a x and transportationextra,
is as
follows:
Hathaway (photo~raphic r e c o r d ) Approximately
-
$
6,B00,00General. Electric ( p h o t o , r e c o r d ) tt
-
€?,6OO,QOk a r u s h (direct-writin? r e c o r d ) 11
-
8,300,00Conclusion
Assuming that t h e measurement of t h e v i b r a t i o n part o f
t h e
transient
stresses is desirable, it is thought at the present time that magnetic strain gauges and an oscillograph u s i n qa
direct t w i t i n g recbrder witha
frequency response of s o m e w h a t more than50 c y c l e s p e r second
would
b e the most s u i t a b l e for t h e i n v e s t i - gations described in t h i s Note.MANUFACTURERS OF
STRAIN GAUGESDe
Forest Scratch Gauge: Baldwin Southwask Division, B a l d w i nLocomotive Works, P h i l a d e l y h i a 42, Penn, I n d e n t o r Type L o a d
Cell:
No
commercial make.Bonded
Wire
Resistance Gauge: . SR-4 Gauge-
2aLdwin Southwzrk ( seeabove)
Ru~re-de F o r e s t f n c , , 76 F4assachusetts ~ v e . 3 , Cambridge,
Mass,
DeHaviland P r o p e l l e r s L t d , , H a t f i e l d
Airodrarne, H a r t f o r d s h i r e ,
Zngland,
Unbonded Wire R e s i s t a n c e Gauge: Dr, Roy
W,
Carlson, E n s i n e e r i n g 16aterial.L a b o r a t o r y , U n i v e r s i t y o f C a l i f o r n i a , 3erkeLey, C a l i f o r n i a .
Statham Laborakories, 9g23 S a n t a I4onica
a l v d . , 3everly H i l l s , California, Magnetic S t r a i n Gauge: Hathaway I n s t r u m e n t Co.,
1315
SouthCharkson St,, Denver, Colorado,
West5nghouse Electric Company, P i t t s - burgh, Penn,
G e n e r a l Electric Company, Apparatus D e p t , ,
MANUFACTUREXS
9F
ATulPLIFY1N G A N D RECORIIIIJG EGUIPNKKTEquipment w i t h pen-and-ink r e c o r d e r s :
3rush Development Co., 3405 P e r k i n s Ave., Cleveland
14,
Ohio. Henry Hughes a n d Son L t d , , 2 Claxton St., London 3YJ01.
E n g l a n d . Equipment with galvanometer oscillogrsphs:Hathaway Instrument Co., 1315 S o u t h C l a r k s o n St., Denver, C o l .
Savase and P a r s o n s Ltd., Vlatford Bypass, Herts., ~ l i ~ . ( u p to 1000 c / s )
i l i a 1 Co Pasadena,
California,
Consolidated Enqineering Corp., 620 I i o r t h Lake A v e . , Pasadena
4 ,
C a l i f o r n i a ,
H e i l a n d
Instrument
Go,, Oenver, C o l o r a d o ,G e n e r a l X l q c t r i c Company, Apparetus Dept., Schenectady,
N
.
Y o
V e s t i n g h o u s e X l e c t r i c Company, Pittsburgh, Penn, Equipment
~ 5 t h
c a t h o d e r a y oscillo%raphs:Avirno L t d , , Tauntan,
Somerset,
E n s l a n d ,( 1 5
c h a n n e l instrument) Southern I n s t r u m e n t s L t d . , F e r n h i l l , Hawley, Camberley, Surrey, E q l a n d .Mullard Electronic P r o d u c t s , C e n t u r y House, Shaftesbury Avenue,
London
PJ, C
,2, Enyland ,FurzehiEl L a b o r a t o r i e s
Ltd,
,
3orcham
Wood, Hests,, E n s l a n d , Not S p e c i f i e d :DeHaviland P r o p e l l e r s L t d . , H a t f i e l d Aerodrome, Hertfordshire,
Eng.
Trimount I n s t r m e n t Co.,
37
TI, Van Buren St,, Chicago 5,lllinois (arnglifiers
only)REFERENCES
S o c i e t y
for
ExperimentalStress Analysis
-
Proceedin~s,
Addison
-
Wesley Press, I n c , , Cambridge, Kass,(Published semi-annually s i n c e
1943.
Numerous r e n i a r t s o f studies of dnamic
stresses, a n d references to most o f the o t h e r l i t e r a - t u r e5
.
Dobie, W , 3 , and
(Published Isaac,
P .C
.G
.
,
in England) " E l e c t r i c Resistance Strain
American Society of T e s t i n g Ykterials, p a n e l of papers on dynamic t e s t i n q presented at
an
A,S .T.M. meeting in San Francisco in October1949
'rA survey o f pick-ups f o r Dynamic P h y s i c a l P."lasurementsT\ t T 3 e l e c t i o n o f Recording Equipment f o r Dynamic Testingn,7vAnalysis a n d
I n t ~ r -
pretation of Dynamic Recordst7,and
nExarnples o f DynamicTesting
int h e F i e l d of Naterials and structure^^^^
A r n o l d , R
, N o ,
paper c o n t a i n i n g description ofDeForest
Scratch Gauge ,,Proceedings o f the Institution o f Mechanical E n q i n e e r s ,
Vol,
137?
page 2 2 5 .
Redshaw, S.C., J o u r n a l of t h e
Royal
Aeronautical S o c i e t y ,Vol,
5 0 ,p . 568-612, August
1946
-
paper on t h e subject of resistance s t r a i ngauges.
3aLdwin Southwark D i v i s i o n of the aaldwin Locomotive Works, Philadelphia,
Pa.,
SR-4 Kews L e t t e r s concernin-? t h e s ~ b j e c t of Testing, V o l ,11,
No, 1 & 11, Aug, & S e p t ,
1945.
y 7 S t a b i l i t y o f S t r a i n Gauzestband "Apparatusfor
Recording S t r a i n f T , and o t h e r s ,Sansom,
T o
B,,
y t R e s i s t a n c eStrain
Gauges, Methodsof
attachment a n dtheir
r e l a t i o n s h i p to Zero Creepfr aElectrical Review ( ~ r i t ,), 1k5
(3736)
July 1, 19.49-Tannahill, A ,
L o ,
"Application of E l e c t r i c a l Resistance S t r a i n Gaugesn The E n g i n e e r ( ~ r i t , ) pp,630-633,
June 10,1949,
( A t t a c h m e n t
of
gauges f o r u s ein
air and under w a t e r-
t w o separate techniques, d e s c r i b e d and illustrated s t e p by s t e p ) .R o o d b e r ~ , A . , Howe,
E.D.,
and Yark, B.,"The
S t a b i l i t y of SR-l+ E l e c t r i c a l StrainGaugds
and Nethods ofTheir
W a t e r p r o o f i n g and-Protection'inField
Servzcev\ Am. Sac,of
Mechanical E n g i n e e r s , P a p e r Ao,&7-A-
1 2 0 ,
I9b9.
American Railway E n g i n e e r i n g A s s o c i a t i o n , r ' D e s c r i p t i o n and Analysis of the B r i d g e Impact T e s t s made by the
Fennsylvania
Railroad of C h e s t e r ,Pa.
!rProceedings, V o l . 42, pp,393-483
194.1. ( I n s t r u m e n t s describedVan
Eenam,N.,
U . S .3ureau
o fPublic
Roads,nLive
LoadStress
Measure-ments
on
t h e FortLoudon aridge,Pennsylvaniatt. Report
presented to. . the Hi5hway
Research
Board,
December1949.
Lamble, T.
H.,
andGill,
S . S . ! "The Measurement o fS t r a i n v .
Bulletin of the Liverpool E n q i n e e r ~ n g Society.The Institution of Electrical Engineers ( B r i t . ) , Ninutes of a discussion on "The aleetrical Measurement
of
S t r a i n T r . Meeting h e l d on ivov,TORONTO TRANSPORTATION COMMISSION
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