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Knowles Loom Works WORCESTER, MASS.,

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WOOL PREPARING MACHINERY. Shake Willows or Dusters Feafnoughts or Tenter Hook Pickers Goddard Burr Pickers Steel Ring and Solid Packing Burring Machines, with Steel Ring Feed Rolls, for Woolen and Worsted Cards. ;

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ADVERTISEMENT.

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SUITABLE FOR

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-

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322 Chestnut Street, Philadelphia, Pa.

JosiAH Gates MANUFACTURERS OF

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Oak Tanned Leather Belting

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AnVRRTISEMENT.

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Textile Machinery: Patent Looms,

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Patent Harness Motions, to

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save yarn and give perfect bobbins.

.

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Positive

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The number of teeth

in the ratchet indicating the exact and corresponding number of picks.

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CROMPTON

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WOOLEN AND WORSTED LOOM.

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Crompton Loom Works, WORCESTER, MASS. Correspondence

Solicited.. vii

:

:

Fosselt's Textile Library,

Volume

I.

TEXTILE CALCULATIONS Being a Guide to Calculations relating to

The Construction of

all

kinds of Yarns and Fabrics,

The Analysis Speed,

Power and

of Cloth,

Belt Calculations.

For the use of Students, Operatives, Overseers and Manufacturers,

—BY—

B. A.

POSSKLT, and Manufacturing.

Editor of *' The Textile Iconographic Record.^'' Editor of Textile Terms in '"''Standard Dictionary Encyclopizdia of the Arts and Sciences?'* Author and Publisher of Technology of Textile Design''\' " The Jacquard Machine Analysed and Explained'''' ; '^ Structure of

Consulting Expert on Textile Designing

''''

'"''

Fibres^ Yarns

and Fabrics.^''

Principal of PosseWs Private School of Textile Design ;

formerly Head Master of the Textile Department of The Pennsylvania School of Industrial Art^ Philadelphia,

WITH NUMEI^OUS ILLUSTRATIONS. PHILADELPHIA B. A.

POSSELT, Author and 2152 N.

Pubi^ishbr,

Twenty-first Strejkt.

LONDON SAMPSON LOW, MARSTON AND COMPANY, LIMITED, St.

Ddnstan's Housb, Fktter IvAnb, Fi,«st Strskx. 1896.

[Copyrighted

1896,



by B. A. Posselt]

Museum and

ADVERTISEW-ENT.

M.

A.

FURBUSH & SON MACHINE PHILADELPHIA MAKERS OF

WOOLEN CARDING, SPINNING AND WEAVING

MACHINERY ALSO

WORSTED CARDING MACHINES,

MURKLAND INGRAIN CARPET LOOM.

ILLUSTRATED CATALOGUE WITH FULL PARTICULARS ON APPLICATION,

viii

THE GETTY CENTr., LIBRARY

CO.

.

LIST OF ADVERTISERS. Altemus, W. W. & Son American Drosophore Co. Barker, James Beer Paul B^nazet Heddle Co. Borchers & Co., Richard .

Branson Machine Co. Brophey,

Boston

. •

.

.

C.

.

.

.

.

D &

Son Crompton Loom Works Crehore, C. F.

.

.

.

.

.

& Marble

Curtis

Danforth Belting Co. Dolan, Thomas Draper, George

.

B & Sons

.

...

Philadelphia

,

.

......

ix xxiii

...

iv

Philadelphia Philadelphia Darby, Pa Philadelphia

.

.

John

Philadelphia

.

Boston Worcester Worcester

.

.

xxiv

Frankford, Pa Boston Philadelphia Boston and .

.

Nye & Tredick Parks

vii

Worcester, Mass. Lowell, Mass. .

Reed and Harness Co.

.

xiii

Paton, James H Pettee Machine

.

xviii

.

xvi

^

.

.

.

XXlll

...

XXX

i

Paterson, 'N.

Bost6i

Works

.

.

J.',

'

Newton Up'r Falls,

.

......

Mass. Photo. Bngraving Co. Philadelphia Posselt, B. A (Publisher) Philadelphia .

,

xxiv

Mach. Co Springfield, Vt.

Phila

Elliott & Hall Entwistle, T. C

XXX

.

Arch St.)

Phila. (606

& Woolson

Paterson

iii

.

.

.

Cleveland, O.

xxxviii xxvii

.

.

Co

Muhlhauser, F. Co

xviii

Philadelphia . Philadelphia Hopedale, Mass.

.

Mauger & Avery McCloud, C

xxvii

.... ....

xxxx

Boston . Philadelphia

.

.

st.)

.

.

.

.

.

.

Phila. (506 St.

W.

IVIalcolm Mills

xxxi xxiv xxxix

.

.

Leigh, Bvan Arthur Lord, George

.

.

.

.

.

.

.

.

.

,

pairmount Machine Co.

.

,

Firth, William

Fleming

&

Chapin

Friedberger, S

& Wagnalls Co. Furbush, M. A. & Son Funk

.

.

.

Philadelphia Boston Philadelphia Philadelphia

...

vi

'.

xvi

.

xxiv

... New York ....

xxxi

.

.

Posselt's Textile School

Queen

& Co

Philadelphia

Rhoads,

J.

B.

& Sons

.

,

.

.

.

,

.

.

.

.

.

.

.

.

.

.

Boston Boston

.

H & Co

Amos

.

Halton,

Thomas ...

Holbrook M'n'f'g. Co. Houghton, B. F. & Co.

Howson & Howson Howard & Bullougli Hunter Machine Insinger

Janes,

Philadelphia Paterson, N. J. Philadelphia

S.

Jones, F.

Co.,

.

.

.

.

.

New York

.

.

Philadelphia Philadelphia Pawtucket, R,

.

James

xxiv xxxviii

xxxx XX X

,

xxii

xiv

I.

North Adams, Mass

& Co Walker Co

Co Knowles Loom Works

XXX

Boston Philadelphia .

Kitson Machine

Lowell Worcester .

.

.

.

.

.

xxiv

and back cover

.

.

.

Schaum

& Uhlinger

.

,

Schnitzler, Charles H. Schofield, George L. .

Wm. &

Sprowles

Co.

.

& Houseman

Stewart, Thomas Sturtevant Co., B. F. Sullivan, Richard T. .

.

,

.

.

Philadelphia Philadelphia Philadelphia Philadelphia Frankford, Pa Philadelphia Boston Boston .

.

.

.

Textile Record Co Troemner, Henry

.

1

xxii xviii xii

xxxviii xviii

XV

.

xxx

.

Philadelphia Philadelphia

Wilder, Jacob

xxxii xviii

Paterson, N. J. Co. Whitinsville, Mass. Lowell, Mass. Worcester, Mass. .

WhitinsvilleSpin'g Ring Wilson, D. H Windle, J. B Wolf, W. & Sons Woolford, George

Woonsocket Machine Press Co

.

ii

xviii

.

.

xvii

Philadelphia

&

.

Paterson, N. J. inside back cover

.

Sellers,

A.

.

and Wilmington, Del xxx

Ring, Thomas F. Rogers, Gorham & Co. Rojde, John & Sons

.

.

I.

Philadelphia

.

.

Phila. (239 Market)

.

.

Hall, Hall,

xxxiii-xxxvi X xviii

iii

Gallagher, D J. & Co. Phila. (245-7 N. Broad st.) Gates, Josiah & Sons .... Lowell, Mass. Globe Machine Works Frankford, Pa. xxii Gould, M. A Philadelphia xviii Griswold Worsted Co. Philadelphia ... v Griibnau, Carl Philadelphia xxii .

XXV XXX

Philadelphia

Mach,

Co

xxxvii xxix

.

.

.; .

Zentmayer, Joseph

.

.

.

.

Belting

Philadelphia

.

.

.

xxiv

.

xxi

and Woonsocket, R. Philadelphia

J.

B Rhoads &

Burlaps

Gorham Rogers

.

I.

.

.

Card Grinders T. C, Bntwistle

B. A. Leigh

Sons

Geo. L- Schofield

& Co.

Carbonizing Machines

Kitson Machine Co.

Cards for Jacquard Looms C. F. Crehore

& Son

Blowers Chas. H. Schnitzler B. F. Sturtevant Co.

Coal

Card Clothing D. Brophey

B. A. Leigh

Colors Boiler

Geo.

Compound

W. Lord Books

B. A. Posselt

Card Cutting and Lacing Machinery

John Royle

Schaum

&

& Sons

Uhlinger

'

xvi xvii

xxx

Boston

CLASSIFIED INDEX. Danforth Belting Co Josiah Gates & Sons

xxxi xix

Queen & Co. Condensers

James Barker M. A. Furbush

& Son

Mach. Co.

xxvi

CLASSIFIED INDEX M. A. Furbush

Coppersmiths

Paul Beer D. H. Wilson

Wm.

Sellers

F

&

Queen

Knowles Loom Works

&

Co.

Woonsocket Mach.

Machines

Wm.

Fairmount Machine Co. Sprowles & Houseman

M.

Kitson Machine Co. E. A. Ivcigh

D. H. Wilson

& Co.

& Chapin

Schaum Engraving

Finishing Machinery

Curtis Elliott

Borchers

&

Co.

Wm,

& Marble & Hall Co.

Posselt's

Schools School of Textile

Private

Fairmount Machine Co. James Hunter Mach. Co. Geo. L. Schofield

Wm.

Sellers

&

Co.

B^nazet Heddle Co. Danforth Belting Co. Sons Geo. Draper Josiah Gates & Sons

Jacquards and Dobbies

M. I.

Thomas Hal ton

&

Silk Yarns Friedberger Griswold Worsted Co. Chas. McCloud

S.

Soaps Holbrook Mfg. Co. Spinning Rings

& Co. & Uhlinger

Spur Gear Gutters

James Barker

Heating and Ventilating American Drosophore Co. B. F. Stiutevant Co.

Hydro- Extractors & Uhlinger Journals

Textile Record Co. Knitting Machinery Branson Mach. Co. E. A. Leigh Nye & Tredick

Looms

Crompton Loom Works

J. E.

Stokers

Co.

&

Sons

Tanks

Warping, Beaming, and WIndiig Machinery

W. W. Altemus

Oils

& Co.

Insinger

& Co.

Schaum

&

Patent Solicitors

& Howson

Pick Measures See Microscopes

Uhlinger & Sons

John Royle

Wool-Scouring Machinery Firth James Hunter Mach. Co.

Wm.

Pnenmatic Conveyors Charles H. Schnitzler

Kitson Machine Co.

Press Papers C. F. Crehore & Son

Fleming

E

A. Leigh

Yarns

Printing

D.

J.

Gallagher

.

Fairmount Machine Co. M. A. Furbush & Son Machine Co. Globe Machine Works

Moulder's Flasks

James Barker

Houghton

Sellers

Geo. Draper & Sons T. C. Entwistle

Jacob Walder

&

Sons Fairmount Machine Co.

Rhoads

Howson

& Co.

Geo. Woolford Amos H. Hall

Thomas Stewart

E. F.

& Co.

Wm.

Paterson Reed and Harness Co. I

& Sons

Whitinsville Spinning Ring Co

Thomas Halton

Knowles Loom Works John Royle & Sons

Co.

Slasher and Dresser Cylinders D. H. Wilson & Co.

&

A. Gould

A. Hall

&

Woonsocket Machine and Press Co.

Mill Supplies

Crompton L,oom Works M. A. Furbush & Son Mach. Co.

Geo. Draper

Scales

Henry Troemner

Geo. Draper

Joseph Zentmayer

Parks & Woolson Mach. Co. J. E. Windle Woonsocket Mach. and Press Co

Schaum

Machine Tools Sellers & Co.

Queen

E. A. Leigh

Schaum

Sons.

Microscopes

James Hunter Machine

Insinger

& Uhlinger

Woonsocket Machine Co.

& Son

W. Altemus

W. Wolf &

Shafting, Pulleys, and Couplings Co.

Geo. L. Schofield Sprowles & Houseman J. E. Windle

Phila. Photo-Engraving Co.

Richard T. Sullivan

Design

Knowles Loom Works Evan Arthur Leigh Parks & Woolson Machine Co. Pettee Machine Works

Friedberger

C.

Mach. Co.

& Co. Kitson Machine Co.

Edgings

Richard

& Son

Insinger

Dye Kettles

Walker Janes Mauger & Avery The F. Muhlhauser Co. James H Paton Thomas F. Ring S.

Firth

A. Furbush

Globe Machine Works Howard & Bullough James Hunter Machine

Dryers

W

& Press Co

W. W. Altemus & Son James Barker Richard C. Borchers & Co. Crompton Loom Works Curtis & Marble Geo. Draper & Sons Fairmount Machine Co.

Design Papers Co.

Materials

Carl Griibnau

Machinery (Cotton and Woolen)

Dyeing, Prisiting, and Sizing

S.

Raw

& Uhlinger

Schaum

& Co.

Fleming

Publications

See Books and Journals

Cranes

& Wagnalls Co.

Jones

— Continued.

Son Mach. Co.

& Co.

Insinger

Dictionaries

Funk

&

& Co.

&

Chapin

S. Friedberger

Griswold Worsted Co. Chas.

McCloud

ADVERTISEMENT. W. W. ALTEMUS.

J.

eSTKBI-ISHED

K.

ALTEMUS.

1B65.

W.W. ALTEMUS & SON, Textile





Machinery 2816 North Fourth

St.,

Philadelphia.

BOBBIN WINDING MACHINE Patented November aa, 1887, and Variable Motion Patented September

6,

1893.

BUILDERS OF ALL KINDS OF

3^

J^m*

WE MAKE MACHINERY

COP AND BOBBIN WINDING MACHINES, SPOOLERS, WARPERS, REAMERS, CHENILLE CUTTING, CARPET ROLLING, SINGEING MACHINES, AND SPECIAL MACHINERY TO ORDER. FOR ALL KINDS OF YARN.

Correspondence Solicited

ADVERTISEMENT.

E. F.

HOUQHTON & CO.

OILS: 211 8.

FRONT

ST.

PHILADELPHIA, PA.

To Textile Manufacturers. Gentlemen*. For over a quarter of a century we have made a careful study of the requirements of the textile industries in oils and greases. Commencing with the steam cylinder of the engine, we have ascertained the exact requirements necessary for a lubricating oil to reduce the coefficient of friction on all classes of textile machinery to the lowest possible minimum, thereby effecting for our customers a large saving in fuel and repairs. We have studied the best and most economical oils for oiling wool, softening cotton, counteracting the effect of harsh dyes, etc. In fact, there is nothing pertaining to oils and greases for textile mills to which we have not given much time and attention, and, as a result, we are making special oils for the various special purposes, which are superior in quality and more economical than oils made for general purposes. good Do not worry along with oils that are and oils perfect obtain easily can you enough," when *

*

save money in the bargain. It is always a pleasure for us to respond to inquiries and give to the textile manufacturers the benefit of our extensive experience.

Yours respectfully, E.

F.

HOUGHTON & CO.

General Manager.

1

TABLE OF CONTENTS. Yarn and Cloth Calculations. PAGB

Grading of the Various Yarns Used Size or Counts Cotton Yarns Table of Lengths from No.

in

the Manufacture of Textile Fabrics According to 5 •

i

5 S

to 240's

Grading of Two-Ply Three-Ply, etc. Yarns To Find Weight in Ounces of a Given Number of Yards of a Known Count To Find Weight in Pounds of a Given Number of Yards of a Known Count To Find the Equivalent Size in Single Yarn for Two, Three or More Ply Yam Composed of Minor Threads of Unequal Counts

5 6

Woolen Yams A. "Run "System

^

,

,

Table of Lengths from

to 15-run

7

^ ^

^.

To Find the Weight in Ounces of a Given Number of Yards of To Find the Weight in Pounds of a Given Number of Yards of B. "Cut "System

6

a a

Known Count Known Count

8

Table of Lengths from i-cut to 50-cut Yarn To Find the Weight in Ounces of a Given Number of Yards of a Known Count To Find the Weight in Pounds of a Given Number of Yards of a Known Count Grading of Double and Twist or More Ply Yarns Worsted Yarns Table of Lengths from No. i to 200's Grading of Two-ply, Three-ply, etc., Yarns To Find the Weight in Ounces of a Given Number of Yards of a Known Count To Find the Weight in Pounds of a Given Number of Yards of a Known Count To Find the Equivalent Size in Single Yarn of Two, Three or More Ply Yarn Composed of Minor Threads of Unequal Counts

9 9 9 9 9

»

Spun

B.

Raw

n 12

^3

Silk Yarns,

A.

-

1

Silks

Silks



Length of raw Silk Yams per Pound and per Ounce from Linen Yarns, Jute Yarns, China Grass and Ramie

i

to 30



••

Drams

14 14

the Equivalent Counts of a Given Thread in Another System Woolen and Worsted Yarns Cotton, A. B. Spun Silk Yarns Compared to Cotton, Woolen or Worsted Yarns C. Linen Yarns, Jute and Ramie D. Raw Silk Yarns Compared to Spun Silk, Cotton, Woolen or Worsted Yarns To Ascertain the Counts of Twisted Threads Composed of Different Materials

To Find

If Compound Thread is Composed of Two Minor Threads of Different Materials. ... If Compound Thread is Composed of Three Minor Threads of Two or Three Different Materials ,

To

Ascertain the Counts for a Minor Thread to Produce, with Other Given Minor Threads, Two, Three or More Ply Yarn of a Given Count

A.

One System

^.

Two Systems

of

Yarn

of Yarns... .........f.....



»

'3 '3

'

14 ^4 l6 16 17

17 17

18 ^®

*5

2

To

Amount of Material Required Lots for Two, Three or More Ply Yarn

Ascertain the

for

Each Minor Thread

in

Laying Out 19

A. Double and Twist Yarn Composed of Minor Threads of the Same Material Composed of Minor Threads of Different Materials B. Three or More Ply Yams Composed of Minor Threads of the Same Material Composed of Minor Threads of Different Materials

To

19 19

20 20 20 21

Ascertain the Cost of Two, Three or More Ply Yarn

Composed

Either of Different Qualities of

Yam

only, or of the Latter

22

Item

in Addition to Different

Counts of

Minor Threads

22

of a Different Material than the Other If a Three-ply Yarn is Composed of Minor Threads of Unequal Counts as well as of a Different Price If a Three-ply Yarn is Composed of Minor Threads of different Materials as well as of Different Prices

If

One of the Minor Threads

To Find

the

Mean

is

or Average Value of Yarns of

Mixed Stocks

22 23 24

24

To Ascertain Medium Price of a Mixture when Price and Quantity of Each Ingredient are Given To Find Quantity of Bach Kind Wool to Use in a Mixture of a Given Value To Find Quantity of Bach Kind to Use when the Quantity of One Kind, the Different Prices of Each Kind and the Prices of the Mixture are Given

24 25

26

Reed Calculations

27

To Ascertain Ends in "Warp Knowing Reed Number, Threads per Dent and Width of Warp in Reed To Ascertain Reed Number if Number of Ends in Warp and Width in Reed are Known To Ascertain Width of Warp in Reed if Reed Number, Threads per Dent and Threads in Warp are Known

27

Warp

29

Calculations

.

To Find Weight of Warp if Number of Ends, Counts and Length are given If Two or More Different Kinds of Yarn are Used If Weight of Warp is Required to be Found for One Yard only When Required to Ascertain the Weight of a Warp Dressed with Yarns of Various Counts and Answer Required is for the Total Weight of Warp To Find the Counts for Warp Yarn if Number of Ends in Warp and Amount of Material, Length and Weight to be Used are Given

27

28

29 29 31 31

33

To Find Threads to Use if Counts of Yarns, Lengths and Weight of Warp are Given To Find Length of Warp if Number of Ends, Counts and Weight of Yarn are Given When Two or More Different Materials are Used in the Construction of Cloth

34 34 35

Filling Calculations To Find the Length of Filling Yarn Required for Producing One or a Given Number of Yards of cloth, if Picks per Inch and Width of Cloth in Reed are Known To Find Weight of Filling Yarn Required, Expressed in Ounces, producing One Yard of Cloth, if Picks per Inch, Width of Cloth in Reed and the Counts of Yarn are Known To Find Weight of Filling Yarn Required, Expressed in Pounds or Fraction Thereof, for any Number of Yards if Picks per Inch, Width of Cloth in Reed and Counts of Yarn are Known If Two or More Different Kinds of Filling Yarn are Used, and it is Required to Ascertain Weight of Material for

Bach Kind

37 37

37

37 38 38

If the Counts are Equal, and Lots Differ only in Color or Twist If Filling Yarns of Different Counts of Materials are Used

39

40 To Find Counts for a Filling Yam Required to Produce a Given Weight per Yard Cloth 40 If Such Example Refers to Weight Given in Ounces for One Yard 40 If Example Refers to a Given Number of Yards and Weight is Expressed in Pounds To Find the Picks per Inch for a Piece of Cloth of which Counts of Yam, Length of Cloth to be Woven, Width 41 in Reed and the Amount of Material to be Used are Given 41 If Two or More Different Counts of Filling Yarn are Used 41 If Arrangement as to Counts of the Filling is of a Simple Form 42 If Arrangement of Filling has a Large Number of Picks in Repeat 42 To Ascertain Number of Yards of Cloth Woven for a Certain Amount of Yarn on Hand To Ascertain the Amount and Cost of the Materials Used in the Construction of Fabrics 44 Find the Cost of the Same per Yard Finished Cloth 44 A. Find the Total Cost of Materials Used, and

Fancy Cassimere Worsted Suiting

•'

.'

44 44

8 PAGB Cotton Dress Goods

Woolen Tricot

45 46

Suiting

Worsted Suiting Fancy Cassimere Fancy Cotton Dress Goods Worsted Suiting Beaver Overcoating

46 48

50 52 53

Ingrain Carpet (IRxtra Fine Cotton Chain Worsted Filling) Ingrain Carpet (Extra Super Worsted Chain)

54

;

;

55

-.

;

Structure of Textile Fabrics. The Purpose of Wear that the Fabric The Nature of Raw Materials

will

Be

Subject to

57 57

Counts of Yarn Required to Produce a Perfect Structure of Cloth To Find the Number of Ends which, in Cotton, Woolen, Worsted, Linen and Silk Yarns, can Lie Side by Side in One Inch Table Showing the Number of Ends of Cotton Yam from Single 5's to 2/160's that will Lie Side by Side in One Inch , Table Showing Number of Ends of Woolen Yarn "Run Basis," from i-run to lo-run, that will Lie Side by Side in One Inch Table Showing the Number of Ends of Woolen Yarn "Cut Basis" from 6-cut to 50-cut, that will Lie Side by Side in One Inch Table Showing the Number of Ends of "Worsted Yarn," from 5's to 2/160's that will Lie Side by Side in One Inch Table Showing the Number of Ends of Raw Silk Yarn, from 20 Drams to i dram, that will Lie Side by Side in One Inch Table Showing the Number of Ends of Linen Yarns, from id's to 100' s, that will Lie Side by Side iu One Inch... To Find the Diameter of a Thread by Means of a Given Diameter of Another Count of Yarn To Find the Counts of Yarn Required for a Given Warp Texture by Means of a Known Warp Texture with the Respective Counts of the Yarn Given A. Dealing with One Material ,

,

Dealing with Two or More Materials Influence of the Twist of Yarns upon the Texture of a Cloth To Find the Amount of Twist Required for a Yarn if the Counts and Twist of a Yarn of the

B.

Known Weave upon the Texture

58

60

60 61 61

6r

62

62

63 63

64 64

Same System,

of Difiierent Counts, are Influence of the

58

but 65 66

of a Fabric...

To Find the Texture of a Cloth To Change the Texture for Given Counts of Yarn from one Weaver to Another To Change the Weight of a Fabric without Influencing its General Appearance

67

Given Cloth Required Cloth 2. 1, Given Cloth 2. Required Cloth To Find number of Ends Per Inch in Required Cloth

71

70 70

1.

Weaves which Weaves which

will will

Work with Work with

the the

Same Same

Texture as the Texture as the

73 72 73

,

73

^ Twill

— —34 -

etc.

74 Twill

74 •

Selections of the Proper Texture for Fabrics Interlaced with Satin Weaves Selection of the Proper Texture for Fabrics Interlaced with Rib Weaves

75

Warp

75

75

Effects

Filling Effects

76

Figured Rib Weaves Selections of the Proper Texture for Fabrics Interlaced with Corkscrew Weaves Selection of the Proper Texture for Fabrics Constructed with Two Systems Filling and One System Warp Selection of the Proper Texture for Fabrics Constructed with Two Systems Warp and One System Filling Selection of the Proper Texture for Fabrics Constructed with Two Systems Warp and Two Systems Filling

76

79 82

One End

82

Face, to Alternate with One End Back in Warp and Filling Face, to Alternate with One End Back in Warp and Filling

Two Ends

->

>

76 77

83



4

Analysis.

How to

PAGE

Raw

Materials Used in the Construction of Textile Fabrics Miorosoopioal Appearance of Fibres Cotton

Ascertain the

Wild

Weighted Silk Wool, Untrue Fibres, Kemps, Shoddy, Mungo, Extract, Foreign Wools, Mohair, Cashmere, Alpaca, Vicugna, Llama, Camel's Hair, Cow's Hair Flax, Hemp, Jute and China Grass Tests for Ascertaining the Raw Materials Used in the Construction of Yarns or Fabrics Cotton, Linen, Jute, China Grass, Silk and Wool How to Ascertain the Percentage of Each Material Constituting the Fabric Wool and Cotton. Silk and Cotton, Percentage, Wool and Silk, Cotton Wool and Silk How to Test the Soundness of Fibres or Yarns Illustration and Description of a Testing Machine How to Test Given Counts of Yarn How to Ascertain the Weight of Cloth per Yard from a Small Sample How to Calculate the Weight of Finished Cloth How to Test and Analyze the Various Finishes of Cotton Goods The Best Size for Cotton Goods Silk,

Silk,

,

To

Ascertain the Percentage of Size Substances Used in Finishing Cotton Cloth

Cotton Spinning

85 85

85

86 86

90 91 91

93 93

94 95

96 96 97 98 99 100 100 loi

,

— —

Power Required to Drive the Various Machines in a Cotton Mill Speed of the Various Machines in a Cotton Mill— Heat and Moisture Required for Good Cotton Spinning and Weaving— Sliver Table Roving Table Calculation for Yarns 20's to 26's from the Lap to the Yarn How to Ascertain the Capacity of a Carding Engine How to Find the Number of Carding Engines to Give a Regular Supply of Cotton to Each Drawing Frame How to Find the Quantity of Filleting Required to Cover a Card Cylinder or Dofifer Traveler Table for Spinning at Medium Speeds— To Calculate Loss of Twist in Ring Spinning—To Find the Percentage Cotton Yarn Contracts in Twisting— How to Ascertain the Number of Yards of Cotton Yarn on Bobbin Twist Table— Draper's Table of the Breaking Weight of American Warp Yarns per Skein— Table Giving the Amount of Twist for the Various Kinds of Twisted Yarns Production of Drawing Frames Table Giving Production per Spindle for Warp and Filling Yarn from 4's to 6o's—Production of Cards at Various Speeds with Various Weights of Slivers.



— —







Speed, Belting, Power, Etc. Speed How to Find the Circumference of a Circle or of a Pulley — How to Compute the Diameter of a Circle or of a Pulley—How to Compute the Area of a Circle — How to Determine the Speed of a Driven Shaft— A Pair of Mitre Wheels— How to Compute the Velocities, etc., of Toothed Gears— The Pitch of a Gear—^Bevel Gears

—The Pitch Line



of a Gear— To Measure the Diameter of a Gear To Ascertain the Pitch of a Gear— Driving-Driven How to Distinguish the Driver from the Driven Wheel How to Find the Speed of the Driving Wheel— How to Obtain the Size of the Driving Wheel— How to Obtain the Size of the Driven Wheel—Worm Wheels— A Mangle Wheel— How to Change the Speed of a Driven Pulley, Shaft or WheelTo Increase the Speed by Increasing the Size of the Driver—To Increase the Speed by Decreasing the Size of Driven Wheel How to Ascertain the Circumferential Velocity of a Wheel, Driver or Cylinder How to Find the Speed of Last Shaft— How to Ascertain the Number of Revolutions of the Last Wheel at the End of a Train of Spur Wheels— How to Ascertain the Number of Teeth in Each Wheel for a Train of Spur Wheels to Find the Number of Revolutions of the Last Wheel of a Train of Wheels— How to Straighten a Crooked Shaft— How to Cool a Hot Shaft— Cooling Compound— Steel and Iron— How to Harden Cast Iron.





107





—How

Belting

..^

m

Rules for Calculating the Width of Leather Belting (Single) Required for Given Power— Table of Safe, Actual Width of Single Belts to Transmit Given Power at Given Speeds—To Find the Length of a Driving Belt Before the Pulleys are in Position— How to Find Where to Cut Belt-Holes in Floors.

How to Manage Belts Water Power Steam Power Heat

112

Arithmetic U. S. Measures Metric System

116

114 114 115

i43

i44

YARN AND CLOTH CALCULATIONS Grading of the Various Yarns Used in the Manufacture of Textile Fabrics According to Size or Counts.

The

size

of the yarns, technically

known

as their "Counts'' or numbers, are based for the ditferent

raw materials (with the exception of raw silks) upon the number of yards necessary to balance one (1) The number of yards thus required (to balance 1 lb.) are known as the "Standard" lb. avoirdupois. and vary accordingly for each material. Tha higher the count or number, the finer the yarn according ,

to its diameter.

COTTON YARNS. 1 hank) and are graded by the number 1680 yards are necessary to 840 yards If 3 hanks or 3 X 840 or 2520 yards are balance 1 lb. we classify the same as number 2 cotton yarn Continuing in this manner, necessary to balance 1 lb., the thread is known as number 3 cottou yarn. counts or numbers of cotton various the yards the number gives for each successive always adding 840

Cotton yarns have for their standard 840 yards (equal to

of hanks

Consequently

1 lb. contains.

yarn contain for

if

1 lb.

Table of Lengths

Yds. to

I

840

2

1,680 2,520 3.360

3

4

No.

I lb.

17 18 19 21

4,

6 7

8 9 10 II

12

13 14 15

16

22

23 24 25

26 27 28 29

30 31

32

I

lb.

280 15,120 15,960 16,800 17,640 18,480 19,320 20,160 21,000 21,840 22,680 23,520 24,360 25,200 26,040 26,880 14,

20

200 5.040 5,880 6,720 7,560 8,400 9,240 10,080 10,920 11,760 12,600 13,440

5

Yds. to

No.

33

34 35

36 37 38 39 40 41 42 43 44 45

46 47 48

Cotton Yarns.

for

(From number

No.

i

to 240's.)

Yds. to

I

etc.,

Cotton Yarns are frequently manufactured into 2-ply. is

No.

lb.

50

27,720 28,560 29,400 30,240 31,080 31,920 32,760 33,600 34,440 35,280 36. 120 36,960 37,800 38,640 39,480 40,320

Grading of 2-ply, 3-ply,

for 1 lb.

=

X

2 hanks, or 2

52

54 56 58 60 62

64 66 68 70 72 74 76 78

I

42,000 43,680 45.360 47,040 48,720 50,400 52,080 53.760 55,440 57,120 58,800 60,480

lb.

No.

85

90 95 100

no 120 130 140 150 160 170 180

62, 160

i'90

63.840 65.520 67,200

200 220 240

Yds. to

I

lb.

71,400 75,600 79,800 84,000 92,400 100,800 109, 200 117,600 126,000 134,400 142,800 151,200 159,600 168,000 184,800 201,600

Cotton Yarns. In such cases the number of yards required

one-half the amount called for in the single thread.

For Example.



20's cotton yarn (single) equals 16,800 yards per pound, while a 2-ply thread of

20's cotton, technically indicated as 2/20's cotton, requires only

8400 yards, or equal

called for in single lO's cotton (technically represented as lO's cotton).

yards to 1

Yds. to

lb.,

(14-^-2=7), or

and thus equals 2-ply 14's cotton yarn

number

7 in single yarn.

;

to the

amount

Single 7's cotton yarn has 5,880

or 2/14's cotton yarn equals one-half the count

If the yarn be more than 2-ply, divide the number of the single yarn in the required counts by the number of ply, and the result will be the equivalent counts in a single thread. Example.

—Three-ply

60's, or 3/60's cotton yarn, equals in size

-

(60

=

3

20)

single 20's cotton yarn, or 16,800 yards of single 2G's cotton yarn weigh 1 lb., and 16,800 yards of Again, 4-ply 60's or 4/60's cotton yarn equals in size 3/60's cotton yarn weigh also 1 lb.

{^rXu^efcl^nfr}

{

Number

for

finding the

{^^^^^S^^^

^ \

15)

or single 15's cotton yarn has 12.600 yards, weighing 1

;

number of yards required Rule

=

4

(60 single 15's cotton yarn

of pi,.}

lb.,

which

is

also the

for 4/60's cotton yarn.

Weight

in

Ounces of a given Number of Yards of Cotton Yarn

known Count.

of a

Multiply the given yards by 16, and divide the result by the number of yards of the count required to balance 1

Example 201,600 Answer. ;

lb.



Find weight of 12,600 yards of 30's cotton yarn. yarn=25,200 yards. Thus, 201,600-^-25,200=8.

(single yarn).

1 lb. 30's cotton

— 12,600 yards of

;

— 12,600 yards of 2/30's cotton

Example— {Z-])\y yarn).—Find

2/30's cotton yarn.

12,600X16=

Thus, 201,600-r-12,600=16.

yarn=-12,600 yards.

1 lb. 2/30's cotton

Answer.

12,600X16=

30's cotton yarn weigh 8 oz.

Example (2-ply yarn).—Find the weight of 12,600 yards of 201,600

known

yarn weigh 16

oz.

the weight of 12,600 yards of 3/30's cotton yarn.

201,600 1 lb. 3/30's cotton yarn=8,400 yards. Thus, 201,600-^-8,400=24 Answer. 12,600 yards of 3/30's cotton yarn weigh 24 oz. ;

12,600X16=

oz.



Another 'rule for ascertaining the weight in ounces for a given number of yards of cotton yarn of Divide the given yards by the number of yards of the known count a known count is as follows required to balance one ounce (being yards per lb. ^16). :

Example

(single yarn).

—Find

the weight of 12,600 yards of 30's cotton yarn.

25,200-^16

=

1,575 yards 30's cotton yarn=l oz.; 12,600^1,575=8. An^er. 12,600 yards of 30's cotton yarn weigh 8 oz.



Example (2-ply yarn).— Find the weight of 12,600 yards of 7871 yards 2/30's cotton yarn=l oz.; 12,600-^787|=16. Answer. 12,600 yards of 2/30's cotton yarn weigh 16 oz.

2/30's cotton yarn.

12,600--1G=



Example (3-ply yarn).— Find the weight yards 3/30's cotton

Answer.

Rule

for

yarn=l

oz.

— 12,600 yards of

finding the

;

for 12,600 yards of 3/30's cotton yarn.

8,400-^16=525

12,600-4-525=24. 3/30's cotton yarn

Weight

in

Pounds of a

weigh 24

oz.

of a given

Number

of Yards of Cotton

known Count.

Divide the given yards by the number of yards of the known count required to balance 1

Example (single yarn).— Find the weight of 1,260,000 yards of yarn=25,200 yards to 1 lb. Thus, l,260,000--25,200=50. Answer.

— 1,260,000 yards of

Yarn

30's cotton yarn

weigh 50

lbs.

30's cotton yarn.

lb.

30's cotton

:

7

Example (2-ply

yarn=l 2,600 Answer.

yarn).

yards to 1

—Find

the weight of 1,260,000 yards of 2/30's cotton yarn.

—1,260,000 yards of

2/30's cotton

yarn weigh 100

lbs.

Example (3-ply yarn).—Find the weight of 1,260,000 yards of yarn=8,400 yards to 1 lb. Thus, 1,260,000--8,400=150. Answer.

To

2/30's cotton

Thus, 1,260,000^12,600=100.

lb.

— 1,260,000 yards of

^/30's cotton yarn weigh

150

3/30's cotton yarn.

3/30's cotton

lbs.

Yarn for Two, Three, or More, Ply Yarn Composed Minor Threads of Unequal Counts.

find the Equivalent Size in Single

of jlU

the

manufacture of fancy yarns the compound thread

minor threads of unequal counts. Mule.

If so,

— If the compound thread

is

often composed of

the rules for finding the equivalent in single yarn

two or more is

as follows

composed of two minor threads of unequal counts, divide the

is

product of the counts of the m-inor threads by their sum. two-fold yarn —Find equal thread composed of Answer. — A two-fold composed of Bule. — If the compound thread

Example.

to a

in single

the

thread composea of single 40's and 60's.

40X60=2400^100 (40+60)=24.

and 60's equals a single 24's. minor threads of unequal counts, com-

single 40's

cotton

three

is

pound any two of the minor threads into one, and apply the third minor thread not previously used.

the previous rule to this

compound thread and

thread a 3-ply yarn composed of — Find equal counts a 20x30=600-^50 (20+30)=12; 12x50=600^-62 (12+50)=9li equals a and yarn composed of Answer. —A 3-ply

Example.

single

in

50's

20's, 30's

cotton

A second

20's, 30's

to

rule for finding the'^quivalent counts for a yarn

twisted together

is

afterwards by the

as follows

sum

Divide one of the counts by

:

of the quotients.

To prove

iu size

and

50's.

single 9fr's thread.

when

itself,

three or more minor threads are and by the others in succession, and

the accuracy of this rule

we

give again the previ-

ously given example.

Example.— ¥md

equai counts in a single thread to a 3-ply yarn composed of 20's, 30's and 50's.

50--50=l

50^5i=9H

50^30=11 50-T-20=2l

.

6i

Answer.

— A 3-ply cotton thread composed of

Example. 30's,

—Find

20's, 30's

and 50's equals in

size a single OIt s thread.

equal counts in a single yarn for the following 3-ply yarn composed of 40's,

and 20's cotton threads.

40^40=1 40-^4i=9A

40-^30=11

40^20=2 41 Answer.

—The 3-ply yarn given

in the

example equals a

single 9t\ cotton thread.



Memo. In the manufacture of twisted yarns (composed either out of two, three, or more minor threads) a certain amount of shrinkage will take place by means of the twisting of the threads around both minor threads are of equal counts this shrinkage will be equal for both, but if the sizes of the yarns, or the raw materials of which they are composed, are different, such For example: a strong and heavy minor thread ''take-up'' will be different for each minor thread. twisted with a fine soft thread ; in this case the finer thread will wind itself (more or less) around the each other.

No

doubt

if

thick or heavy thread, not having sufficient strength to bend the latter, thus the finer thread will take



'

m

more proportion than the heavy thread. Twisting a woolen thread with a cotton thread, both supposed to be of the same counts, will stretch the former more than the latter; i. e. it will lose less in length during twisting compared to the latter. Again two or more minor threads twisted with differtip

ent turns per inch will accordingly take

more ply yarn, no

tions in 2, 3, or

up

In giving

differently.

any of the yarn calculaby means of twisting the minor

rules for

notice of shrinkage or take-up

taken in account, since otherwise an endless number of rules of the most complicated character would be required with reference to raw materials, the different counts of threads, turns of twist threads

is

per inch and tension for each individual minor thread during the twisting operation. Such rules would thus be of little value to the manufacturer since his practical experience regarding this subject will readily assist

him

to calculate quickly

take up of minor threads as the case

and exactly by

may

WOOLEN

which have run

System. and vicinity, graded by " runs " run yarn requires 1600 yards to 1 lb., 2

are with the exception of the mills in Philadelphia

for their standard

yarn—3200

YARNS.

"Run"

A.

Woolen yarns

rules given, with a proportional allowance for a

require.

yards to

1600 yards.

Consequently

yarn— 4800

3 run

1

yards to

1 lb., etc., always adding 1600 yards for In addition to using whole numbers only as in the case of cotton and worsted divided into halves, quarters, and occasionally into eighths, hence 1 lb.,

each successive run. yarn, the run

is

200 yards equal ^ run " " " 1 400 " " 600 f " " " 1 800

Table of Lengths

for

1000 yards equal f run " " " 1200 I " " " 1400 I 1600

Woolen Yarns

(From one-fourth Ruu Run. Yds.

to

I

lb.

400 800 1,200 I

2

2 3/

Rule

for

Run. Yds.

3

3X 3.^

.1,600

3^

2,000 2,400 2,800 3,200 3,600 4,000 4,400

4

4X 4/2

4H 5

5X 5/2

to

I

"

"

to fifteeu

5^

4,800 5,200 5,600 6,000 6,400 6,800 7,200 7,600 8,000 8,400 8,800

6

6X 6)4 7

7%

Known Count Graded

&c.

Run) to

I

Run. Yds to

lb

200 9,600 10,000 10,400 10,800 11,200 11,600 12,000 9,

8>^

13,600 14,

10 10;^ II 12

12

400

13

12,800 13,200

15

14

of

lb

000

14,400 15,200 16,000 16,800 17,600

9

7^

Number of Yards Run System.

I

8^

8

8X

Finding the Weight in Ounces of a Given

"

{Run System).

Run. Yds

lb.

1



19, 200 20,800 22,400 24,000

Woolen Yarn

of a

After the

The run basis is very convenient for textile calculations by reason of the standard number equaling 100 times the number of ounces that 1 lb. contains ; thus by simply multiplying the size of the yarn given in run counts by 100, and dividing the result into the number of yards given (for which we have to find the weight), gives us as the result the weight expressed in ounces

Example.— F'mdi Answer.

7200 yards of 4 run yarn— 4X100=400.

the weight of

3750 yards of 3| run woolen yarn— 3750-^375=10.

— 7200 yards 4 run yarn weigh 18 ounces.

Example.— F'mdi Answer.

.

the weight of

— 3750 yards of 3| run woolen yarn weigh 10 ounces.

7200-^400=18.

;

9

Rule

for Finding the

Weight

in

Pounds

of a Given

Known Count Graded

Number of Yards Run System.

of

Woolen Yarn

of a

After the

If the weight of a given number of yards and of a given

size

of woolen yarn, run system,

is

required to be calculated in pounds, transfer the result obtained in ounces into pounds or fractions thereof.

Example.— Find Ansioer.

the weight of 100,000 yards of

— 100,000 yards of 6J run yarn weigh 10

run

yarn— 100,000-^-625=160

oz. --16=10.

lbs.

"Cut" System.

B.

As heretofore mentioned, woolen yarn is also graded by the " cut " standard, consequently if 300 yards of a given woolen yarn weigh 1

300 yards

system. lb.,

we

classify

it

is

the basis or

as 1 cut

yarn

600 yards weigh 1 lb. we classify it as 2 cut yarn if 900 yards weigh 1 lb. we classify it as 3 cut yarn, and so on ; hence the count of the woolen yarn expressed in the cut multiplied by 300 gives as the result the number of yards of respective yarn that 1 lb. contains. if

;

Table of Lengths

for

(From Yards

Cut.

Cut.

to lb.

3

9 ID

1,200 1,500 1,800 2,100 2,400 2,700 3,000

II

3.300

4 5

6 7

8

Rule

for

13 14 15

16 17 18 19

20 21

22

by the

Yards to lb.

Cut.

23

6,900 7.200 7,500 7,800 8, 100 8,400

34 35 36 37 38 39 40 41 42 43 44

24 25 26 27

28 29 '30

31

32 33

original

number of yards

8,

700

9,000 9,300 9,600 9,900

Yards to

lb.

10,200 10, 500 10, 800 II, 100 11,400 11,700 12,000 12,300 12,600 12,900 13,200

Yards to

45 46 48 50 54 58 60 65 70

13,500 13,800 14,400 15,000 16,200 17,400 18,000 19,500

75

22,500 24,000

lb.

2 1 ,000

80

Woolen Yarn

of

" Multiply the given yards by 16 and divide

12,600X16=201,600;

the weight of 12,600 yards of 40-cut woolen yarn.

1

Thus, 201,600-f-12,000=16.8.

—12,600 yards of 40-cut woolen yarn weigh 16.8

The other known count

Cut.

for the given count of cotton yarn that 1 lb. contains."

of 40-cut woolen yarn=12,000 yards.

Amwer.

a

Yam.)

Cut.

similar to the one given for cotton yarn.

is

Example.— Find lb.

cut to 50 cut

(Cut System),

Finding the Weight in Ounces for a Given Number of Yards of a Known Count Figured by the "Cut" Basis.

This rule the result

lb.

3,600 3,900 4,200 4,500 4,800 5,100 5,400 5,700 6,000 6,300 6,600

12

300 600 900

I

2

Yards to

I

Woolen Yarns

oz.

number of yards of cotton yarn of number of yards of the known count

rule for ascertaining the weight in ounces for a is

as follows

:

Divide the given yards by the

required to balance one ounce.

—Find the weight 12,600 Answer. — 12,600 yards of 40-cut woolen

Example.

for

yards of

40-cut

woolen

yarn.

12,000-f-16=750

12,6OO--750=16.8.

Rule

for

oz.

Finding the Weight in Pounds of a Given Number of Yards of Woolen Yarn of a Known Count, Graded by the Cut Basis.

This rule

by the

yarn weigh 16.8

original

is

also similar to the

number of yards

result expresses the weight in

one previously given for cotton yarn.

for

the

Divide the given yards

given count of woolen yarn (cut basis) in

pounds, or fractions thereof.

1

lb.

The

10

—Find the weight 1,260,000 yards of 40-cut woolen yarn. Thus, 1,260,000--1 2,000=105. — 1,260,000 yards of 40-cut woolen yarn weigh 105

Example.

of

12,000 yards to Answe?'.

40-cut woolen

yarn=

1 lb.

lbs.

Grading of Double and Twist or more Ply Woolen Yarn.

Woolen yarns

are sometimes manufactured in double

and twist (c?461.5

'

'

33,600



76AV

cents.

yarn is composed of minor threads of unequal counts as well as of a ent price, we must find the cost of the compound yarn by If a 3-ply

differ-



Rule. Find average price and compound counts between any two minor threads given, and wards proceed in the same manner between the respective results and the third minor thread.

Example.

—Find

after-

pound of 3-ply fancy yarn composed of the following minor threads pound; 40's worsted costing |1.50 per pound and 30's worsted costing

cost per

60's worsted costing $2.00 per

;

$1.00 per pound. 60's at $2.00.

40's at $1.50

60 X 1 .50=90

J

70.00^ 1 00=1 .70.

40X2.00=80 100

170.00

$1.70 average price between 60's worsted at $2.00, and 40's at $1.50.-

60 X 40= 2,400 -^100 (60

+ 40)=24.

24's worsted

24's worsted at $1.70.

compound counts

AnMoer.

—The

Proo/.— 60's,

75.00^54=1.3888.

75.00

price for the 3-ply yarn given in the

40's

and 40's worsted thus

30's worsted at $1.00.

24X1.00=24.00 30X1.70=51.00 54

for 60's

example

is

$1.3888 or nearly $1.39.

and 30's worsted.

60--60=l

60—40=11 60^30=2^ 4|

60-f-4J=13|^'s worsted compound counts for 60's, 40's and 30's.

l^

worsted=13|X560=7,466| yards per pound.

60's

worsted=33,600 yards per lb. worsted=22,400 yards per lb. worsted^ 16,800 yards per lb.

40's 30's

at

$2.00

at

$1.50

at $ 1 .00

;



33,600:2.00:: 7,466|: x

2.00X7,4661

$0.4444

33,600 22,400: i.50

::

7,466|: x

1.50x7,466f

$0.5000

22,400 16,800:1.00:: 7,466f: x

Answer.

—The

If a 3-ply

prices, and

yarn

is

we must

Find the

$0.4444

16,800

Answer :—$1.3888 price as

found before ($1.38)

is correct.

composed of minor threads

find the cost per

their equivalent counts in one basis

To

1.00X7,4661

Mean

and

pound

of different materials as well as different compound yarn, reduce the different counts to

for the

by previously given

find the result

rule.

or Average Value of Yarns of Mixed Stocks.

In the manufacture of mixed yams wools of different price are frequently mixed together. ascertain the medium price of a mixture when the price and quantity of each ingredient are given, use

To

Rule.

—Divide

by the sum

the cost of all the ingredients

of the quantities mixed, the quotient will

be the average value.

Example.—¥md

the

mean or average value of the following wool mixture: 160 lbs. costing 75/ " 160 " 86/ " $1.10 40 " " 40 " 1.16

400

lbs. total

per lb. " " "

"

"

"

amount of wool used

in this lot.

75/X160 lbs.=$120.00 85/X160 lbs.= 136.00

X X

$1.10 $1.16

40 1bs.= 40 1bs.=

400

Answer.



$346.40 The value of the wool mixture

Example.—-Find the value per

lb. for

46.40

$346.40

lbs.

(Cost of all the Ingredients .)

44.00

(Sum of the

Quantities.)

400 is

86iV

per

lbs.

=$0,866

lb.

the following mixture of wool.

680 lbs. costing 66/ per lb. " 300 " 68/ " " « 20 " 98/ " « 1,000

lbs. in lot.

65/X680=$442.00

68/x300= 20=

98/ X

Answer.

—Wool mixture

204.00

$665.60--l,000=$0.6656

19.60

$665.60 in question

is

worth 66fA/ per

lb.





25

Another question frequently appearing Yarns " is

To Find

the Quantity of

In such a mixture the

in the

Each Kind

of

mixing of

Wool

Use

to

lots for the

in a

manufacture of " Mixed

Mixture of a Given Value.

on the kinds of wool used of the several prices or

total loss

qualities

must

equal the total gain.



Rule. Arrange the prices of the diiferent kinds of wool, we have at our disposal, in a vertical column with the mean price at the left. Next find the gain or loss on one unit of each take such au' additional portion of any as will make the losses balance the gains or vice versa. ;

—Two kinds of wool

Example.

mixed

to

56/ and

at respective values of

produce a mixture worth 60/.

Find

56+4X1 =4 63— 3Xli=4 Answer. —

63)^ per

pound

are required to be

quantities of each kind wanted. gain. loss.

of the wool costing 56/ and

1 part

"

"

"

"

63/ are required

for

2^ parts to produce a mixture of the required value of 60/.

Proof.—

1

lb.

H

"

@ 56/=56/ @ 63/=84/

21

140/

——

140X3 140-f-2J=140-j-l=

Example

—Three

required to be

mixed

-

^

=420-f-7=60/ average

different qualities of

to produce a

mixture per

at respective values

mixture worth 64/ per

64

Answer.

wool

price of

Find

lb.

70—6x1 =6 68—4X1 =4_

10/

loss.

60+4X21=

10/

gain.

—To produce mixture of a value of 64/ per

lb.,

1

part from the wool costing

1

part from the wool costing

lb.

of 60/, 68/ and 70/ per

lb. are

quantities of each kind required.

use

2| parts from the wool costing

70/ 68/ 60/

in

4|^ parts.

Proof.—

1

lb.

1

"

21

"

41

lbs.

@ 70/= 70/ @ 68/= 68/ @ 60/=150/ 288/

288-4-4.5=64/ average price of mixture per Example.

— Four

are required to be

lb.

wool at respective values of 80/, 85/, 96/ and 98/ per produce a mixture worth 92/. Find quantities of each kind required.

different qualities of

mixed

to

92

80+12x1 =12 85+ 7X1 =_7 96— 4X1 — 4 98— 6x21—15

19/

gain.

19/

loss.

lb.

——

26 Answer.

—To produce mixture of wool of

a value of

92/ use

1

part of the wool costing 80j^

1

part of the wool costing 85

1

part of the wool costing 92

2| parts of the wool costing 98 parts.

5^

Proof.—

1

lb.

1

lb.

1

lb.

21

lbs.

51

lbs.

@ @ @ @

80/=

=

80/

85

85

96

=

98

=245 506/

in laying out " wool-lots " is

Another question frequently arising

the Quantity of Each Kind to Use When the Quantity of One Kind, the Different Prices of Each Kind and the Prices of the Mixture, are Given.

Example. lbs. at

71/

96

the average price of mixture per lb.

506/-^5.5=92/ being

To Find

m

—What quantity of each kind of wool costing 60/, 80/ and 90/ must be mixed with 20 75/ per

so as to bring the mixture to a value of

/ 60

/

lb.

lbs.

+ 15X

1=15/

71+ 4X20=80



95/

gain.

95/

loss.

80— 5X 1— 5/ 90— 15X 6—90

— 28

Ansfwer.

—Use

part

1

or

lb.

20 parts or part

1

crib.

28 parts or 1

20

lb.

6

lbs.

28

Example. hand,

—Having

how many

lbs.

@ @ @ @

lb.

lbs.

1

of the wool costing 60/ " " " 71

parts or lbs.

6

Proof.—

lbs.

lbs. at

" "

"80 "90

Mixture so as

lbs.

60/=

" "

to

bring the price of the latter to 75/ per

60/

71 =1,420

80 90

= =

8

540

or

2,100/.

Hence 2,100/-^-28=75/ average price of mixture per lb.

four diiferent lots of wool at respective values of 70/, 74/,

of each kind must

we

use to

make up

a lot of

70+ 8X1 =8 74+ 4X1 =4 70

lb.



12/ gain.

82— 4Xli=6 84— 6X1 =6 12/

loss.

500

lbs. costing

82/ and 84/ on

us 78/ per

lb.

27

500-^41=1 Hi

]Xllli=llU

lbs.

1X11U=11U

"

lXllU=166f

"

1X11U=11H

"

500 Ansioer.

—We must

use

.

to

make up

U U

70 74 82 84

lbs.

"

of the "

166!

"

llli

"

11 11

@ @ @ @

lbs.

valued at 70/ per

lot

"

"

"

"

"

"

"



"

74 82 84

lb,

" " "

a lot of 500 lbs. at a value of 78/ per lb.

llliX70/=$77.77i

Proof.—

11UX74

=

82.221

166fX82 ==136.661

11UX84

=

92.331

$390.00— and 500

lbs. at

78/

= also $390.00.

Reed Calculations. The reed is named by numbers, the number in each case indicating how many splits are in each inch, Thus a number 8-reed means a reed with 8 splits in every inch over the required width. If we call for number 16|-reed, we want a reed having 16| splits in one inch, equal to 33 dents in every 2 inches over the entire width of the fabric. Whole numbers or half numbers alone are used for grading of reeds. four —Suppose we have a number warp 70 How many one inch ends — ends of warp Answer. X 4=36 9-reed,

Example. are in

are in full

?

if

X 70 2,520

how many

inches wide in reed ?

in

9

threads in one split or dent,

one inch.

width of warp in reed. ends in warp.

Rule for ascertaining the number of ends in the warp if the reed number, the threads Multiply the reed number by the per dent and the width of the warp in the reed are known threads per dent and multiply the result by the width of the warp in reed. :

Example.

—How many ends are

in the

warp

if using 13|-reed, 6 threads

per dent, 80 inches wide

in reed ?

Answer.

— 6,480 ends

131X6=81X80=6,480. are in warp.

Rule for ascertaining the reed number, if the number of ends in the warp and the width reed are known, the threads per dent, either given or to be selected, according to the fabric Divide the number of ends in the warp by the width in the reed, which gives the number of threads per inch divide this result again by the number of threads in one dent according to the weave

in the

:

;

or pattern required, the answer being the reed (number) required.

28 Example.

— 6,480 ends

in warp,

80 inches wide in

How many

ree5.

ends per inch and what reed

is

required if 6 ends per dent are to be used ?

6,480-^80=81 -4-6=131. Answer.

—81 ends per inch and 13^

the reed

is

number

required.

Rule for ascertaining the width of the warp in the reed if the reed number, the threads per dent, and the number of threads in the warp are known Divide the number of ends in the warp by the number of ends per inch, giving as the result the number of inches the warp will :

be in the reed.

Example. in a

number

— Find width

In reed for fabric

made with 3,600 ends

in

warp, reeded 3 threads per dent

12-reed.

12X3=36 3,600^36=100.

—The width of Example. — Find width Answer.

the fabric in reed

is

100

inches.

made with 4,752 ends

in reed for fabric

in warp, reeded

4 threads per

dent in a number 16|^-reed.

4,752--66=72

16|X4=66 Answer.

—The width of the

The number of ends Experience

is

fabric in reed

is

72 inches.

to put in one dent has to be regulated according to the fabric

The

the only guide for this.

The finer the reed, the smoother the goods, and with number of ends are not always used in each dent, but The same may be used with the average number of threads per dent.

into the fabric.

Example.

—"What

and the weave.

coarser the reed, to a certain extent, the easier the picks go

are the threads per inch ?

Reed number

perfect reeds, the less reed marks. in

such a case the preceding rules

20, using one dent, 4 ends

—one dent

5 ends.

(Number of reed.)

(Average threads per dent.)

=

4+5=9^2

— 90 threads per Example. —What are the threads per ends — dent, 3 ends— 6 ends. Answer.

X

4J

Eeed number

inch?

=16

3+4+3+6 An^er.

—72 threads per

Sometimes

it





1

dent, 4

—44 Example. —What

72

fraction.

To

sum of

the contents of the dents

by the dents per

set.

inch,

warp reeded

as follows in

number 12-reed

:

1 dent, 5

threads.

1

3+3+5=11X12=132^-3=44.

threads per inch.

1 dent,

Answer.

=

inch.

—What are the threads per — dent, 3

1 dent, 3 threads



reed.)

18

happens that the average number of threads includes an inconvenient

Answer.

threads

X

4

-5-

and then divide by the dents per Example.

(Number of

(Average thread per dent.)

avoid a calculation with this fraction, multiply the

4

18, using 1 dent, 3 ends

1 dent,

(Threads in four dents.)

threads

90

inch.

1

inch,

-=

20

are the threads per inch,



4 threads

—65 threads per

1

warp reeded

as follows in a

dent 5 threads.

4+4+5=13X16=195^-3=65 inch.

number 15-reed:



1 dent,

29

Warp TO FIND WEIGHT OF WARP

Calculations.

NUMBER OF

IF

ENDS, COUNTS AND LENGTH

ARE GIVEN. Multiply number of ends in the width of the cloth by yards in length (dressed), and divide pro-

duct by the number of yards of the given count per pound.

Example.

— Cotton

Yarn.

Find weight of warp, 50 yards

long,

2,

800 ends,

single 40's cotton in

warp. 2,800 X 50=140,000 yards.

40 X 840=33,600 yards per

lb. in

40's cotton.

140,000-^-33,600=4i

— The weight of the warp in the present example 4i Find weight of warp, 40 J^xample. — Woolen Yarn (run system). Answer.

lbs.

is

yards long, 3,600 ends, 4^-

run woolen yarn.

3,600X40=144,000 yards. Answer. The weight of the warp



— Woolen

Example

Yarn

4i-run= 7,200 in present

example

144,000^7,200=20.

yards. is

20

lbs.

Find weight of warp, 45 yards

(cut system).

long, 4,800 ends, 32-cut

woolen yarn.

4,800X45=216,000

—The weight o^ Example. — Worsted Yarn. Answer.

the

2/60's

Answer.

worsted=l 6,800

—The weight of

warp

in the present

example

is 22|^ lbs.

Find weight of warp, 60 yards

6,000X60=360,000

yards.

the

216,000--9,600=22i

32-cut=9,600 yards.

yards.

warp

in present

example

is

long, 6,000 ends, 2/60's worsted yarn.

360,000^16,800=21f.

yards.

2I7

lbs.

If two or more different kinds of yarn are used, ascertain number of threads kind by proportion, and solve answer (for each kind) by previously given rule.

Example.

—Find weight of warp, 50 yards Dressed.

warp

long, 6,000 ends.

— 2 ends 1

in

2/60's worsted.

end 2/50's cotton.

3 ends in repeat.

6,000^3=2,000

2,000X2=4,000 ends 2,000X1=2,000 ends

2/60's worsted in warp. 2/50's cotton in warp.

6,000, complete

4,000X50=200,000 2,000X50=100,000 Answer.

yards.

—The weights of

the

number of ends

2/60's

worsted=l 6,800 yards.

2/50's

cotton=21,000 yards.

warp

in present

example are

in warp.

200,000^16,800=1111. 100,000^21,000=41!

:

lliflbs. of 2/60's worsted. 4M " " 2/50's cotton.

16M lbs.=16|

lbs. total

weight of both kinds of yarn.

for each



:

30 Example.

— Find weight of warp

for each

kind of yarn separately in the following example

Number

Lengths of warp 50 yards. Dressing.

— 4 ends

of ends 4,800.

4

"

4-run woolen yarn " 4 a

4

"

4

U

4

"

4

a

i(

"

black

4

((

u

"

olive

2

"

4

(C

u

"

blue

2

"

4



)

(.

Width of) fabric in reed.

X

60

Yds

(

=

70

(

)

j

Lbs. of filling

(

on hand.

M

Oz. in i lb

\

\

X

> J

400

-H-

92

16

=]0J oz., weight of filling wanted per yard cloth woven.

M Total amount Oz of of H yard of = 1,472 10.5

filling in

j

)

){

oz.

i

|

cloth,

j

=140.19

yards.

Filling in hand will Weave 140 yards (140.19) of cloth.

Answer.

lbs.

or yards per oz

i

[•

4,200

— Example. — Woolen

C6,4oo-f-i6-)

)

for cloth.

yard

i

(

)

of filling

wanted

V


X

84

Yds. of filling

(

wanted

\

>•

-j

i

(

yard

=

72,

I

cloth.

(

Lbs. of filling

\

on hand.

M

f

Picks]

f

N

per

Width of]

X

70

yd. of

i

X

Filling

40's cotton filling in a fabric, r

< [

Width of]

Picks] per V

f

inch,

iin reed

60

}

fabric

X

J

\



will

[ i

wanted for yard of cloth.

yards.

630 =6.888 oz,,weight of filling wanted per yard cloth woven. )

f

f

\

Total amount 1

ofoz

=

16

832

j

f

1

Oz. of filling in 1 yard of cloth

)

f

=120.79

6.888

-J-

yards.

weave 120 yards (1201) of cloth.

Lbs. of filling

]

f 33,600-^-16

J

[

M

or yards

per

H-

1,800 "I

j

Oz

in

/(

i lb.

18

X

16

hand

will

oz.

2,100

on hand.

Filling on

=66f

Find number of yards of cloth we can weave with 18 lbs. of single which is set 30 inches in reed and for which we use 60 picks per inch.

Yds. of filling




-

-

-

-

-

-

-

-

-

-

=2 ends. =1 end.

-

_

-

-

-

=

_

_

-

-

\ end.

In pattern 80 ends. Price of the 5-run in twist,

96 cents per

warp yarn, 96

Price of the 5-run woolen yarn (soft-twist) as used

—40 ends of 2-ply 4-run yarn each 4 ends per —The same arrangement as the warp, ouly using 5|-run yarn

Selvage. Filling.

cents per lb.

Price of the spun-silk as used in twist, $5.60 per lb.

lb.

listing

for

dent.

side,

Price of yarn, 50 cents.

in place of the 5-run.

same material for both minor threads as in warp. 60 picks per inch. yarn, 85 cents. Loss in length of fabric at finishing (fulling), 6 per cent.

twist use the filling

Warp,

r.

T

,032 ends.

f

I

^8

5-run

^

^^.^^

80 ends in

4,032--80=50

repeats plus

32 ends.

repeat.

50X78^3,900-1-32=3,932 ends of 5-run

50X2=100

For

Price of the 5|-run

ends twist.

:

49 (Ends in warp.)

(Yards long.)

X

3,932

(Yards wanted.)

=

50

(5X1,600)

-

196,600

8,000 =24,575 lbs.@96/=$23.592,priceof5-run warp.

100 ends of twistX50 yards (dressed)=5,000 yards,

Take-up of silk (during twisting) 12 per

Thus

cent.

total length :

(100 88 :

:

:

of twist yarn wanted.

x 5,00O)=5,681.81 yards of 30's :

spun silk are wanted.

Take-up of wool (during twisting) 3 per

Thus (100 97

cent.

:

:

:

:

x 5,000)= 5, 154.64 yards of 5-run :

woolen yarn are wanted. (30X840) (Weight wanted.) 5,681.81

^

5,154 64

-

25,200

= 0.2254

(5X1,600)

8,000

(Price per lb.)

X

lbs.

(Weight wanted.)

=

0.6443

$1,262, price of silk yarn used in twist for warp.

(Price per lb.)

X

lbs.

=

$5.60

=$0,618,

96/

price of the 5-run

$23,592 cost of 5-run warp yarn. 1.262 " " 30's spun silk \. " " 5-run soft twist / 0.618

minor yarn for

twist.

,

$25,472, total cost of warp.

Selvage.— 80 ends X 50 yards dressed=4,000 yards of yarn--8,200

@ 50/ =

1| lbs

621/, price of selvage yarn

(2

X 1,600) =1^

lbs.

u.^ed,

(Ends in warp.) (14X4)

Filling.—4,032

=

56

72 inches, width of cloth in

80 (ends selvage) --4 (ends per dent) 72

f

Width of 1 cloth.

j

/

X

73f

j

Picks per inch.

inches,,

width of selvage.

"

.

)

)

514

60

dents-^14=lf

width of cloth, " " selvage,

inches,

H \

=20

reed.

'^^

— X45 |—^=1^

30 840

=-y-x60=-^^

I

)

per cent, take

up V

= 198,257|,

number of yards of 198,2571^40=4,956.43 X

1=

4,956.43 yards of twist. l " " 5i-run. /^^''"^

Thus

lb.

193,300^8,800=2111

lbs.

:

@ 85/=$18.671, price of the 5i-run

^^^^ take-up 12 per cent., thus Twist yarn. / IWool " " " 3 " 30's

:

(100:88

::

lb.

5,632-25,200=0.2235

weight of silk wanted

5-run woolen yarn=8,000 yards per

5,109^-8,000=0.6386

lbs.,

Hence

lb.

filling.

x:4,956.43)=5,632H yards are wanted.

(100:97 ::x:4,956.43)=5,109i?

spun silk=25,200 yards per lbs.,

wanted.

wanted.

and 4,956.43X39=193,300.77

5|-ruu=8,800 yards per

filling

total

"

:

@ $5.60=$1.251, price of

silk.

Hence

weight of woolen yarn

$18,671 cost of 5J-run

@ 96/=61.3/, price filling.

1.251

"

" 30's spun

0.613

"

" 5-run soft twist,

$20,535, total cost of

silk.

filling.

\. j

,

.

of the woolen yarn.

:

60 yards, woven length of cloth. " 2.7 (6 per cent, shrinkage in ful ing).

45

$25,472, cost of warp. " selvage. 0.625, " 20.535,

"

"

filling.

when

42.3 yards, length of cloth

$46,632, total

finished.

cost.

46.632-4-42.3=1.124

Answer.—A. The Answer.

—B.

The

total cost

of materials used are $46,632 ($46.64) and

cost of the

same per finished yard

is

$1,124 ($1.13.)

Fancy Cotton Dress Goods. (27 inches finished width.)

Reed, 38X2.

2,204 ends in warp.

Length of cloth from loom, 80 yards. Dressing

Dressing 1

1

end dark blue (ground) end white end light blue

X4=

= = 2 ends " " = (ground) end " = tan ends 8 a — end flesh " = 2 ends = (ground) end " = end white " = 2 ends " = (ground) end end dark blue = }x4= 1

"

(pile)

1

((

1

(pile)

1

8 ends

2 ends

8 ends

1

1

end white end maroon

2 cuds 1

"

end

.

a

2 ends

end white

2 ends

"

end

"

1

1

end white

2/24's

2/30's

1

1/20's

8 ends tan

end

1

2/24's

2 ends 1

2/30's

1

end

2/30's

1

2/24's

2 ends

end

8 ends

2/30's 1/20's

1

end

2/30's

2 ends

2/24's

(ground)

=

1

=

8 ends

end

end

((

=

1

(pile)

=

2 ends

=

1

end

=24 ends

2/30's 1/20's

2/30's

2/24's

2/30's 1/20's

end

"

(pile)

2 ends 1

Price of

warp yarns (including

end

2/30's 1/20's

1

end

2/30's

1

end

2/30's

" " (ground) " end dark blue " 1 end white " " 1 end " (pile) 2 ends " (ground) 1 end " 8 ends tan " 1 end flesh (pile) 2 ends " " (ground) 1 end " 24 ends tan

2 ends

2/24's

1 end

2/30's

8 ends

l/20'8

:

1 end

2/30's

:

2 ends 2/24's

end

}x4=

:

1 end

:

8 ends

1/20's

:

1 end

2/30's

:

2 ends

2/24't

=

1 end

=24 ends

1/20's ground,

30

cents.

38

cents.

2/24's pile,

36

2/30's

2/30's

1/20's

152 ends.

cent.

cent.

coloring or bleaching) as to their respective counts, are

2/30's ground,

2/30's

"

1

during weaving, 70 per

end

(ground)

Take-up of ground-warps during weaving, 8 per of pile-warp

2/30's

2/24's

2 ends 2/24's

(pile)

Repeat of pattern,

Take-up

1/20's

8 ends 1

"

end

(ground)

end light blue " " (pile)

1

8 ends 1

end white

end

1

X4=

"

1

2/30's

=

24 ends tan

end dark blue (ground)

end maroon " 2 ends

2/30's

=

(ground)

1

1

2 ends

—continued.

1/20's

(pile)

8 ends tan 1

end

1

1 1

end

1

1

(pile)

end

1

:

:

cents.

Selvage.— 10 two-ply ends of 2/20's white cotton for each Price of yarn, 22 cents. take up during weaving.

side.

2 double ends per dent.

8 per cent,

:

51 Filling.

— 78 picks per

inch.

Arrangement of

colors.



4 picks white " tan

8

Counts for Price of

Length of

the filling 1/20's cotton.

all

the filling yarn, inclusive of coloring

all

from loom to equal length

cloth

and bleaching, 28

cents.

finished.

4

maroon

8

tan

6

white

8

tan

4

light blue

28

tan

70 picks in repeat.

Warp.— 1/20's ground=112

= =

"

2/30's

2/24's pile

ends in one pattern " " " " « " " 20 "

20

152 ends in one repeat of pattern.

=14i

2,204 (ends in warp) h-152 (repeat of pattern)

repeats of pattern in width of fabric.

Pattern, with reference as to counts, repeats twice in one repeat of pattern.

fTake-updur-l ^

I



Yards of yarn wanted per ^

f

!

ing

I

2 X 141=1,624 ends of 1 /20's cotton? 20X14J= 290 " " 2/30's « 20X141= 290 " " 2/24's " - -70

11

(Yards of yam wanted

Yards per

)

for the entire piece.

"

of

— —

yarn

wanted

cloth

X X X

1,765.2174

315.2174 966.6666

]

1

for the entire piece. J

>

woven.

Yards of y ar n wanted for the

=

80

=

—29

inches,

"

80

=

77,333.328

I o^f^cfoth I woven.

2,282.5263 X Selvage.

80

—10

!.

^

of the yarn per lb.

Value of yarn

2.0013

X X

38

0.76

10,080

7.6719

X

36

2.76

30/

$2.52

H

width of cloth in reed.

—x 556

78) =2,282.5263 yards of filling per yard cloth woven.

Us.

)

20X840

of yarn wanted.

{

10.8691

X

of yarn per lb. | j

\ Price

f

=

182,602.1040 yds.

ends,

warp yarn.

width of fabric in reed. " selvage in reed. "

T«tal yards of filling wanted.

\

"

Price

|-

8.4058

29i^? inches, total

29AX 78= (

>

141,217.392 yds. 25,217.392 "

6.04, price of Filling.

|

entire piece.

80

2,600

J

77,333.328

"

|

16,800

"

25,217.392

"

fivbs.

lb. [

141,217.392 yards.

per cent.

" of fLength ^

!

yard cloth woven.

ing.

Thus

-f-'

=

16,800

8 per cent, take-up (100: 92

::

J

{_

28/

^ajue ^of ing yarn. J.04

x:40) required 43.478 yards yarn per yard

cloth woven.

Length of cloth woven.

43.478 yards

X

80

)

f Yards

) \ )

[

=^

of selvage T for the \

f

wanted

entire piece.

J

3,478,24 yards

10X140

(,

^

8,400

Total

r

Price

1

r

weight of

\

selvage.

0,414

lbs.

X

1

22/=9/,

total price

of selvage.



52 ^6.04 cost of warp,

3.04

"

"

filling,

0.91

"

"

selvage,

9.99^80=12.487.

$9.99, total cost.

Answer. — A. Answer. — B.

The

total cost

The value of

of materials used in fabric

is

$9.99, and

this stock, per finished yard, is

Worsted

12.487 cents, practically 12^ cents.

Suiting.

Reed,

3,968 ends 2/32's worsted. Length of warp dressed, 45 yards. Arrangement of dressing. 4 ends black,

16X4.



4 ends brown, 4 ends black,

4 ends indigo

blue.

16 ends in repeat. Price of yarn in the white, (scoured) $1.05 per lb.

Allowance for waste during spooling, dressing and weaving, 5 per 30 double ends of 2/30's white worsted for each

Selvage.

per

lb.,

75

side,

cent.

4 double ends per dent.

Price,

cents.

Filling.

—66

Same arrangement of

picks, 2/32's worsted.

colors as in warp.

Price of yarn in the

white, (scoured) 95 cents.

Allowance for waste during spooling and weaving, 6 per cent. Length of fabric from loom, 40 yards. Length of fabric finished, 39^ yards. Cost of coloring yarn, black, 6 cents per lb. ; brown, 6 cents per lb. ; indigo blue, 15 cents per

lb.

weight when colored.)

to equal Cost of finishing, 12 cents per yard, finished. Cost of weaving, 16 cents per yard, from loom. General mill expenses, 10 cents per yard, finished cloth.

(Weight of yarn before coloring

its

Warp. Yards 1 f Idressed.l

(Ends)

3^968

19.928

X -f-

4

45

=

=

4.982

(

j

4.982

Total

3

1

(16X560)

yards. |

=

8,960

178,560

X X

(Lbs.)

= =

1

3

4.982 14.946

lbs.

"

]

Price

per

)

lb. f

(Cost.)

= $20.9244 blue) (indigo = .7473 15^ @ .8967 " 6/ (black and brown) = 19.928

X

$1.05

$22.5684 6 per cent, allowance for waste,

1.1284

Total cost of warp yarn, $23.6968

Selvage.— 60 double ends

2/30's worsted

=

20 single ends

120x45=6,400-^8,400=11= A lb. @

2/30's.

75/=48.214/

5 per cent, allowance for waste,

2.410

Cost of selvage, $0,562 Filling.

(Ends

—Reed, 16X4=64 warp threads per

3^968

inch.

(Ends per inch.)

in full warp. -f-

64

=62

inches, 15

62H

((

width of cloth

in reed.

width of selvage (60h-4=15 dents, reed 16=if inch).

inches, total

width of fabric (including selvage) in

reed.

53 (

Width

)

j

{

in reed.

\

(

Picks per inch,

X

62tI

j

j

|

Yards of filling wanted per yard of cloth woven,

)

=

66

"I

j

J

|

Yards from loom.

X

4,153|

)

)

=166,155 yards of filling wanted

40

in cloth.

9,969 yards, 6 per cent, allowance for

-|-

[waste.

176,124 yards, (Total length.)

(15

X 560

=

lbs.

19.6567-^4=4.9141X1= 4.9141 4.9141X3=14.7426

lbs.

8,960

yarn. @ 95^ =$18.6739, cost of " " = indigo blue color. 0.7371, @ 15 " " black and brown colors. 6 = 0.8845,

lbs.

$20.2955, total cost of

X

6/=$6.40, cost of weaving. 391x12 =$4.71, " " finishing. 39 J X 10 =$3.93, general mill expenses (ofiice

40

amount of filling wanted.

filling

19.6567

176,124

total

(Total weight.)

)

filling

yam.

1

insurance, watchmen, mechanics, per cent, on capital, etc.)

$23.70 cost of warp. 0.51 " " selvage. 20.30 " " filling.

$59.55-v-39i=$1.517.

6.40

"

" weaving.

4.71

"

" finishing.

3.93 general mill expenses.

$59.55

—A. $59.55, Answer. — B. $1.52,

total cost of the fabric.

Ansioer,

cost of fabric per finished yard.

Beaver Overcoating.

{Piece-dyed.)

Reed, 10X6. 42 yards long, dressed. Price of yarn per lb., $1.25. 2 ends face, 5J-run. " " " " " .84. 1 end back, 5-run

4,800 ends in warp.

Arrangement of dressing.



3 ends in repeat. Filling.

—2 picks

face, 5|^-run.

Price of yarn per

"

1 pick back, l|-run.

"

"

"

lb.,

$1.18.

"

.40.

3 picks in repeat.

80 picks per

16 cents for weaving. 4 " general weave room expenses. inch.

20 cents per yard from loom for weaving. Selvage.

—40 ends of 2-run

listing

yarn (each

side).

Price,

50 cents per

lb.

3 ends per dent

(outside dent 4).

Take-up of warp during weaving, 11 per per cent.

cent.

Flocks used during fulling process, 20

25 cents per yard, finished.

Take-up of cloth during

lbs. at

8 cents per

lb.

finishing (fulling), 10

Cost of finishing and dy ing,

General mill expenses, 10 cents per yard, finished.

Warp.— 4,800^3=1,600. (Yards wanted.)

1,600X2=3,200 ends 5i-runX42= 1,600X1=1,600 ends 5-run X42=

134,400 67,200

--8,800=15A

lbs.

^8,000=

lbs.

8 f

@ $1.25=$19.09. @ .84= 7.06.

Cost of warp, $26.15.

54 (Yards wanted.)

Selvage.— 80 ends 2-run X 42= Filling.

3,360

--3,200=1.05 lbs.

@ 50/=52i^ (53/), cost of selvage.

—Reed, 10X6=60 ends per inch and

4,800^60=80

inches,

"

2.6

width of cloth in reed. " selvage (80^3=26 dents=2.6 inches). "

82.6 inches, total width.

82.6X 80=6,608 yards

(total

amount of

filling

per yard woven).

6,608 ^3=2,202f and 2,202f X 2=4,405 J yards face filling. 2,202|Xl=2,202f " backing. 1 1

per cent, take-up of warp during weaving.

100:89

42 :x=89X 42=3,738^100=37.38 yards, woven length.

::

Hence: 4,4051X37.38=164,671.35 yards 5i-run=18.712 2,202f X37.38=

"

82,335.67

lbs.

"

If " =29.456

@ $1.18=$22.10 @ .40= 11.78

Cost of filling, $33.88 37.38

X20/=$7.47,

10 per

cost of weaving.

Hence :x=(90X37.38=)3,360.20^100=33.64

shrinkage of cloth during finishing.

cent,

100:90

::

37.38

126.15 cost of warp. .53 " " selvage. 33.88 " " filling. 7.47

"

" weaving.

" finishing.

:

yards, finished length

33.64 X25/=$8.41 cost of finishing.

33.64X10

X

20

8.41

"

3.37

"

" general expenses.

1.60

"

" flocks.

8

= =

3.37 general mill expenses.

1.60 cost of flocks.

81.41^33.64=2.42.

.41

—A. Answer. — B.

Answer,

$81.41, total cost of the fabric.

$ 2.42, cost of fabric per yard, finished.

Ingrain Carpet.

832 ends Finished

[Extra fine ; Cotton Chain, Worsted

in warp, 2/14's cotton, 5 per cent, take-up

length of fabric,

by weaving and shrinkage

17 / per

Cost of color,

lb.

" "

5

Winding and beaming, 2|

(average price).

24|j^, price

up

—Four ends of

4/10's cotton

on each

side.

of warp yarn per

Price,

20 cents per

lb.

lb.

on beam.

(same amount o^ take-

as warp). Filling.

— 10

Yarn used

:

pair, (in finished fabric)

One-half the amount

36 inches, width of fabric in loom.

16 J cents per lb. in the grease, or 26 J cents per lb. dark colors (48 yards per oz. in the grease). lb.

Price, (50 yards per oz. in the grease). One-half the amount 5/8's scoured and colored.

5/8's single, light colors

single,

per

in finishing, etc.

60 yards. Cost of yarn,

Selvage.

Filling)

Price,

12 cents per

lb. in

the grease, or 20 cents

scoured and colored.

Loss (average) of weight for

filling in

in winding and weaving, 15 per cent.

scouring and dyeing, 15 per cent.

Waste of

filling (average)

:

'

55

Length of

yarn to remain uniform from the grease to colored. Weaving and weave-room General mill expenses, 5 cents per yard finished fabric.

tlie

expenses, 10 cents per yard finished fabric.

^arp.

— 832 ends

60 yards finished length, 24^ cents per lb. x:832=83,200-^-95=875tIx60=52,547.37 yards, total amount of yarn wanted. 2/l4's cotton, 5 per cent, take-up,

100:95 :: 2/14's=5,880 yards per lb. Hence 52,547.37^5,880=8.9536 lbs., total weight of yarn wanted. 24i/=|2.1936 (=$2.20) cost of warp-yarn. 8.9536 lbs. :

@

Selvage.— 4 X 2=8 X 60=480. 100: 95 X :: 480=48,000-^-95=505.26 yards, total length of selvage yarn wanted. 4/10's=2,100 yards per lb. Hence 505.26-=-2,100=0.24 lbs., total weight. :

:

0.24

lbs.

— 20 picks per inch

Filling.

@

20^=4.tV (=5/)

of selvage.

36 inches, width of

in finished fabric.

36X60=2,160X20=43,200

cost

yards, total

fabric.

amount wanted

in fabric.

21,600 yards light colored yarn, at 50 yards per oz. in the grease. 21,600 yards dark colored yarn, at 48 yards per oz. in the grease.

50X16=800

yards per

21,600^800=27 100:85

::

= 85X27 =22.95

27: x

48

lb. for light colors. lbs.,

X 16=768

22.95 lbs.@26i^=$6.082, cost of light colored

100:85

::

23.9 lbs.

28.12:x=

85

X

28 12 '

lbs.,

=23.90

lb. for

dark

colors.

weight of yarn scoured and colored.

lbs.,

21,600^768=28.12

yards per

weight in the grease.

filling

used in

fabric.

weight in the grease.

lbs.,

@ 20/=$4.78, cost of dark colored

weight of yarn scoured and colored. filling

used in fabric.

$ 6.082 light colored. " 4.780 dark $10,862, total value of

filling

used in fabric, subjected to 15 percent, waste of material in winding

Hence

and weaving.

100:85

::

x:

10.86=

^^^

"*^^'^^'^

=12.776, cost of filling, including of waste made in windingand weaving.

85 $ 2.194

Cost of warp,

0.048

Cost of selvage, Cost of

12.776

filling,

Weaving and weaveroom

expenses,

General mill expenses,

24.01 H-60=0.40

X 10 cents) yards X 5 cents)

6.000

(60 yards

3.000

(60

$24,018 .

—A. Answer. —B. Answer.

$24.02, total cost of the fabric.

40

cents, cost

of fabric per yard finished.

Ingrain Carpet.

(Extra Super

;

Worsted Chain.)

1,072 ends in warp, 2/1 4's worsted, 5 per cent, take up by weaving and shrinkage in finishing, etc Price of yarn, including coloring (average) and winding and beaming, 52J cents per lb. Selvage,

— Four ends of

Filling.

— 13 pair

on each side. 20 cents per lb. (same amount of take up as warp).

4/1 0's cotton

Price,

(in finished fabric)

36 inches, width of fabric in loom.

56

Arrangement.



1 pick,

double per lb.

yarn (60 yards per oz. in the grease.) Price, 22 cents in the grease, or 33 cents per lb. scoured and dyed. reel

yards per

1 pick, 6/8's single, light color (50

oz.

in the grease).

cents per lb. in the grease, or 26 J cents per lb. scoured 1 pick, 1

pick

double 5/8's,

Price 16J

and dyed.

reel (as before).

single

dark color (48 yards per oz. in the grease). Price, 12 20 cents per lb. scoured and dyed.

cents per lb. in the grease, or

Loss of weight (average) for filling. in scouring and dyeing, 121 per cent. Waste (average) of No shrinkage for yarn during scouring and coloring. filling in, winding and weaving, 12^ per cent. General mill expenses, 6 cents per finished yard. per 12 cents expenses, Weaving and weaveroom finished yard. Price, 52| cents per lb. ends, 2/14's worsted, 5 per cent, shrinkage. x 1,072=107,200^95=1,128.421 X 60=67,705.26 yards, total amount of warp yarn wanted. 2/14's=3,920 yards per lb. Hence: 67,705.26^3,920=17.27 lbs., total weight. 17.27 lbs.@52i/=$9.066, value of warp yarn.

Warp.— 1,072 100:95

::

:

— (The same — 26 36

as in previously given

Selvage. Filling.

picks,

inches,

60 yards.

26X36X60=56,160

Example) 5

Hence amount of

yards, total

cents.

filling

wanted

in fabric.

Hence 1 4,040 X 2=28,080 yards of double reel yarn@33/ per lb. " 5/8's single light color@26i^ per lb. 14,040X1=14,040 " per lb. " " 5/8's single dark color@20 14,040 X1=14,040 of double reel. vahie /=$9.652, 33 lbs. 60 X 16=960 yards per lb. and 28,080^-960=29^ 26i 5/8's light color. value of =$4.65, 50X16=800 yards per lb. and 14.040--800=17.55 lbs. 5/8's dark color. of value 20 =$3,656, 48X16=768 yards per lb. and 14,040-^-768=18.28 lbs. 56,160-^-4=14,040.

@ @ @

$9,652 value of double reel. " 5/8's light color. 4.650 "

3.656

5/8's

$17,958, total value of

100:87.5

::

x

:

dark

color.

filling

used in carpet (subject to 12| per cent, waste in winding and weaving).

17.958=l,795.8-^87.5=$20.523,

cost of all the filling in fabric

and waste.

loss of mafilling, may be obtained by calculating the 13^ per cent, during winding and weaving to the amount of filling wanted in the fabric, as follows 56,160 yards total amount of filling wanted. Thus

Memo—The same answer as to the cost of terial

:

:

100:87.5:: x

:

56,160=5,616,000^87.5=64,182.856^4=16,045.714.

16,045.714X2=32,091.428 --960=33.428X33 =$11,031 16,045.714--800=20.057X26.5= 5.315

16,045.714^768=20.891X20

=

4.178 $20,523, being the same answer as before.

Cost of warp, Cost of selvage,

Cost of

filling,

$ 9.066 0.048

20.523

40.437^60=0.67.

Weaving and weave-) room expenses, j

7.20O (60 yards

General mill expenses,

3.600

@ 12f) (60 yards @ 6/.)

$40,437

—A. Answer. — B.

Answer.

$40,44, total cost of fabric.

67/, cost of fabric per yard, finished.

STRUCTURE OF TEXTILE FABRICS To

produce a perfect fabric the following points must be taken Into consideration

of wear that the fabric will be subject tion, the size

and