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Instruments for measurement of dynamic stresses (or strains) in temporary steel structures

(2)

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 STEEL

STRUCTURES

by

W.

R. Schriever

Abstract

Measurement

of

s t r e s s e s in temporary

steel

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 e

Toronto

T r a n s p o r t a t i o n Commission,

while

stresses

due 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 n

record

by means

of

an

oscillograph t o determine t h e

addi-

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 frequency

of

their

occurrence

in o r d e r

to 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 to

determine 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 equipment

a r e

discussed.

Lists of manufacturers

of

s t r a i n

gauges and amplifying and recording equipment

a r e

included,

'

33y535-/

(3)

IN

STRWdlX4TS FOR 14EA5URmEi4T

OF

DYNAV!IC STRfiSS&S

(OR

STRAIN) I N THfl TrnPOBARY STZEL STRUCTURES

by

W.

R , Schriever

Introduction

& 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 d

of

engineering in g e n e r a l a n d will be of v a l u e t o t h e

construction 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 f

stresses 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 for

two

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 vibration

characteristics

of

t h e d e c k . Therefore, w h i l e it is sufficient

to 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 n

a

continuous s t r a i n

record

by means of

an

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 l

dynamic 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 and

t 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

(4)

b e i n g

used which

measures t h e

d i s t a n c e ,

or change of

distance, of

t w o small

holes drilled

into the s t e e l . F a r the measurement of

t 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 and

also

unbonded w i r e r e s i s t a n c e s t r a i n

gauges have

a

better long

life

s t a b i l i t y and are more rugged than bonded wire resistance

strain

gauges, a l t h o u g h t h e latter a r e

much 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 which

there

a r e a great

v 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 discussions

o 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 be

of

such v a l u e , n o t o n l y

in t h e

present work but a l s o for

future

r e f e r e n c e , t h a t i t

was decided t o p r e p a r e

a

summary, which is now presented

in

this B u i l d i n g Note.

In

view

o f the large expenditure

involved,in

t h e pur- chase of this equipment ( a s - a multichannel instrument

is

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 e

Division

of Building Research

later

on, t h i s Note

is

s e n t to a l l those

who

contributed to

this

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 the

d 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 to

c 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 contributed

invaluable

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 d

Mr.

W,L.Gibson, Structural

Re-

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 ,

(5)

Nr. R.F.Blanks, Research

and Geolopy

Division,

U . 3 . aureau of

Reclamation, Denver,

C o l .

Dr.

V.H.Glanville,

Road

Research

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 Research

Foundation,

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 d

Kessrs.

C.F . P a t t e r s o n , F .G .Creed, and

N

.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, and

J.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 and

(6)

Measurement of

Stresses

in Beams

and 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 o

main

types af She temporary s t r e e t

d 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 for

the 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 r

n 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

the

web.,

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 t

v 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 s

due 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 to

the

gauge h o l e s

f 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 times

of

no traffic. I n

t 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 o

driftw 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 measurement

of

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 has

a

base of

8

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 ,

(7)

which is put on

the

structural member so

that

it

will

assume

t h e same temperature

as

t h e

member.

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 o

Live

l o a d

in

r a i l w a y a n d

hishrvay 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 t

o 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 the

beam 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 the

wheel

travels. A s a n e x a m ~ l e , a

f i g u r e from

a

paper e n t i t l e d "Description and Analysis af t h e

3 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 American

Railway

Engineering -?ssociation,

19k1,

paTe

432)

is reproduced as F i g . 2

in

this Note, showing s t r a i n s in a plate g i r d k r of

5 5

feet LO i n c h e s span measured

in

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 d

4 )

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

and

61

.

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 of

46

miles

p 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 f

the

stress is of a

r 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 than

would

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 , ? , Brush

Oscillograph,

frequency response c l a i m e d

up

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 e

much

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 y

45

c y c l e s p e r second,

(8)

P i a ~ n i t u d e .--

of

+-.---

Traffic

Loads

It

has

a l r e a d y

been

mentioned t h a t the

s t r a i n s

are b e i n g

measured

in

several cross-sections o f

a

beam. T h i s i s done b e - cause it is intended not only to find t h e

maximum

stresses but also to determine f r o m t h e s e stresses the maximum traffic l o a d s

t 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 been

r 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 in

f 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 its

power s u p p l y (sometimes c o n t a i n e d

in

t h e amplifier box), t h e

am-

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 a

six

c h a n n e l

installation

is understandable. Instruments

On 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 strain

gauzes 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 b

a

number of those i n t e r e s t e d in

the p r o b l e m

( s e e acknowJledgernents

with

a view t o g i v i n ~ complete information r e g a r d i n g the various

i

available

instruments,

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 a

six

c h a n n e l

installation w i t h

6

magnetic and

6

balancing

gauges, ( c a l i b r a t i n g

s t a n d e x t r a )

in

Canadian funds, sales t a x and transportation

extra,

is as

follows:

Hathaway (photo~raphic r e c o r d ) Approximately

-

$

6,B00,00

General. Electric ( p h o t o , r e c o r d ) tt

-

€?,6OO,QO

k a r u s h (direct-writin? r e c o r d ) 11

-

8,300,00

(9)

Conclusion

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 q

a

direct t w i t i n g recbrder with

a

frequency response of s o m e w h a t more than

50 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.

(10)
(11)

MANUFACTURERS OF

STRAIN GAUGES

De

Forest Scratch Gauge: Baldwin Southwask Division, B a l d w i n

Locomotive 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 ( see

above)

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

South

Charkson 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 , ,

(12)

MANUFACTUREXS

9F

ATulPLIFY1N G A N D RECORIIIIJG EGUIPNKKT

Equipment 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 3YJ0

1.

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 (arnglif

iers

only)

(13)

REFERENCES

S o c i e t y

for

Experimental

Stress 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 d

namic

stresses, a n d references to most o f the o t h e r l i t e r a - t u r e

5

.

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 October

1949

'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 Dynamic

Testing

in

t 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 of

DeForest

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 n

gauges.

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 "Apparatus

for

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 e

Strain

Gauges, Methods

of

attachment a n d

their

r e l a t i o n s h i p to Zero Creepfr a

Electrical 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 e

in

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 Strain

Gaugds

and Nethods of

Their

W a t e r p r o o f i n g and-Protection'in

Field

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 described

(14)

Van

Eenam,

N.,

U . S .

3ureau

o f

Public

Roads,

nLive

Load

Stress

Measure-

ments

on

t h e Fort

Loudon aridge,Pennsylvaniatt. Report

presented to

. . the Hi5hway

Research

Board,

December

1949.

Lamble, T.

H.,

and

Gill,

S . S . ! "The Measurement o f

S 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,

(15)

TORONTO TRANSPORTATION COMMISSION

-

RAPID TRANSIT DEPARTMEWT

] B E A M CONSTRUCTIOH

Figure

Fig.  1  shows  t y p i c a l   cross-sections  -of the  t w o   main  types af  She  temporary  s t r e e t   d e c k i n g   used  d u r i n g   subway  con-  s t r u c t i o n

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