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INTERNA TIO NA L

3131-

STA NDA RD

Second editio

1992-09-0

Quantities and units Part 3: Mechanics Master your semester with Scribd Grandeurs et & The New3:York Times Special offer for students: Only $4.99/month.

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31-3:1992(E)

Foreword

IS.0 (the International Organization for Standardization) is a wor federation of national standards bodies member bodies). The of preparing International Standards is normally carried out throug technical committees. Each member body interested in a subje which a technical committee has been established has the right represented on that committee. International organizations, governm and non-governmental, in liaison with also take part in the wor collaborates closely with the International Electrotechnical Comm on all matters of electrotechnical standardization.

Draft International Standards adopted by the technical committee circulated to the member bodies for voting. Publication as an Interna Standard requires approval by at least 75 % of the member bodies c a vote.

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factors for converting between the various units also come under th scope of the TC. In fulfilment of this responsibility, 12 has p pared 31.

31 consists of the following parts, under the general title Quantitie and units:

Part 0: General principles Part 1: Space and time 2: Periodic and related phenomena Part 3: Mechanics Part 4: Heat

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Unlock full access with a free trial. Part 5: Electricity and magnetism

Part


Light and related electromagnetic radiations

Part 7: Acoustics Part 8: Physical chemistry and molecular physics

Part 9: Atomic and nuclear physics Part 10: Nuclear reactions and ionizing radiations

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3%3:1992(E)

Introduction 0.1

Arrangement of the tables

The tables of quantities and units in 31 are arranged so that th quantities are presented on the left-hand pages and the units on the co responding right-hand pages. All units between two full lines belong to the quantities between the responding full lines on the left-hand pages.

Where the numbering of an item has been changed in the revision of a part of 31, the number in the preceding edition is shown in parenth eses on the left-hand page under the new number for the quantity; a dash is used to indicate that the item in question did not appear in the precedin edition. You're Reading a Preview

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together with their symbols and, in most cases, definitions. These def nitions are given merely for identification; they are not intended to b

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31-3:19

CGPM). The units and their decimal multiples and sub-multiple recommended, although the decimal multiples and sub-multiple not explicitly mentioned.

The names of units which may be used together with SI because of their practical importance or because of their u specialized fields are given in normal print (text size).

These units are separated by a broken line from the SI units f quantities concerned.

c) The names of units which may be used temporarily tog with SI units are given in small print (smaller than text size) i “Conversion factors and remarks” column.

d) The names of units which should not be combined with S are given only in annexes in some parts of 31. These annex informative and not integral parts of the standard. They are arrang three groups: 1) special names of units in the CGS system;

2) names of units based on the foot, pound and second and other related units; You're Reading a Preview Unlock full access with a free trial.

names of otherwith units.Scribd Master3)your semester

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Read Free Foron 30this Days Sign up to vote title Download With Free Trial

for quantities

Useful  Not useful Cancel anytime. one of dimension

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INTERNATIONAL STANDARD



31-3:

Quantities and units Part 3: Mechanics

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1 Scope This part of 31 gives names and symbols for quantities and units of mechanics. Where appropriate, conversion factors are also given.

to revision, and parties to agreements based part of 31 are encouraged to investig possibility of applying the most recent edition standard indicated below. Members of IEC maintain registers of currently valid inter Standards. Quantities and units

2 Normative reference The following standard contains provisions which, through reference in this text, constitute provisions of this part of 31. At the time of publication, the edition indicated was valid. All standards are subject

Master your semester with Scribd 31-3:1992(E) & The New York Times Special offer for students: Only $4.99/month.

Part

3 Names and symbols The names and symbols for quantities and mechanics are given on the following pages.


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31-3:1992(E)

Quant

MECHANICS Item No.

Quantity

3-l

mass

3-2

volumic mass, mass density, density

Remarks

Definition

Symbol

Mass is one of the base q tities on which the is ba

m

Mass divided by volume



33

relative volumic mass, relative mass density, relative density

Ratio of the density of a stance to the density of a erence substance under conditions that should be ified for both substances

3-4

volume, specific volume

Volume divided by mass.

v=

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3-6

areic mass,

Mass divided by area

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31

r

MEC

Jnits

No.

Name of unit

nternationz symbol for unit

Conversion factors and r

Definition

kilogram is the unit mass; it is equal to the nass of the international of the kilogram

.a

1g= -

- - . onne

3-2.a

per cubic metre - - --

-

3-2.b

-

-

-

kg

In the English language als metric ton.

1 t = 1 000 kg

3-l .b

-

Names of decimal multiple sub-multiples of the unit of formed by attaching prefixe word “gram”

-

In the English language als metric ton per cubic metre

onne per cubic metre

1

1

= 1

10


per litre 1

3-3.a

3-4.a

metre per kilogram


Master your semester with Scribd & The New York Times 3-5.aoffer fortilogram per $4.99/month. Special students: Only

metre

See the introduction, subc 0.3.2.


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31-3:1992(E)

Quan

MECHANICS (continued) Item No.

Symbol

Quantity

3-9.1

force

3-9.2

weight

F

Remarks

Definition

The resultant force acting on a body is equal to the derivative with respect to time of the momentum of the body The weight of a body in a specified reference system is that force which, when applied to the body, would give it an acceleration equal to the local acceleration of free fall in that reference system



3-l 0 (-)

impulse

When the reference syst the Earth, the quantity d here has commonly been the local force of gravity body. It is noteworthy tha weight comprises not on resultant of the gravitatio forces existing at the pla where the body is, but al local centrifugal force du the rotation of the Earth. The effect of atmospheri buoyancy is excluded, an sequently the weight def the weight in vacuum. [S also Comptes CGPM p. In common parlance, the “weight” continues to be to mean mass, but this p is deprecated.

For the time interval I= where mentum.

I

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to the vector product of the radius vector from this point to

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MECHANICS (con

Jnits Item No. 3-9.a



Name of unit

newton

International symbol for unit N

Conversion factors and rem

Definition

1 N = 1 kg

is that force which, when plied to a body having a mass 1 kg, it an acceleration 1 N

1 m/s .



newton second

N. s

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squared per


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31-3:1992(E)

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Qua

MECHANICS (continued) Item No.

Quantity

Symbol

Remarks

Definition

moment of force

M

The moment of a force about a point is equal to the vector product of any radius vector from this point to a point on the line of action of the force, and the force.

3-l 2.2

moment of a couple

M

Sum of the moments of two forces of equal magnitude and opposite direction not acting along the same line

3-l 2.3 3-12.2)

torque

3-l 3 - )

angular impulse

In the field of elasticity, used for bending mome T for twisting or torsiona ment.

Generalization of the moment of a couple H

For the time interval where gular momentum.


3-14

gravitational constant

The gravitational force between two particlesWith is given by Download Free Trial

G = (6,672 59 N

0,000

where r is the distance between the particles, and and are their masses CODATA Bulletin 63 ( 1986) .

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bient pressure. Thus the pressure is positive or n

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MECHANICS (con

Jnits Item No.

Name of unit

3-l 2.a

newton metre

3-l 3.a

newton metre second

International symbol for unit

Conversion factors and rem

Definition

The symbol for this unit shall written in such a way that it c be confused with the symbo millinewton.

N-m-s


3-l 4.a

newton metre squared per kilogram squared

N


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Read Free Foron 30 Days Sign up to vote title bar (bar), 1this bar 100

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(exac 

Useful  Not useful Cancel The anytime. use of the bar should be re to the existing uses in the field o pressure.

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MECHANICS (continued) Item

No.



Qu

3-16.1 linear strain, (3-14.7) (relative elongation)

Remarks

Definition

Symbol

Quantity

where Al is the increase in length and is the length in a reference state to be specified

shear strain where is the parallel displacement of the upper surface with respect to the lower surface of a layer of thickness

3-16.3 volume strain, (bulk strain)

3-l 7

where AV is the increase in volume and isathe volume in You're Reading Preview a reference state to be speciUnlock fied full access with a free trial. Lateral contraction divided Download With Free Trialby

Poisson ratio, Poisson number

elongation

The quantity defined by Poisson was the reciproc 1

3-18.1

modulus of elasticity

E

E =

3-18.2 shear modulus, modulus of rigidity

G

G=

Master your semester with Scribd 3-18.3 bulk modulus, & The New York modulus of Times Special offer for students: Only $4.99/month. compression

E is

also called the Young modulus.

G is also called the Coulo modulus.  Read Free For 30strains Days Sign up to vote on this title y and in t The  definitions Not usefulare those  Useful  Cancel anytime. sponding to the excess stresses and and to t

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MECHANICS (co

Jnits Item No.



Name of unit

one


Conversion factors and r

Definition

See

1

the introduction, subcla

0.3.2.


3-17.a o n e

1

3-l 8.a

Pa


1 Pa = 1


See the introduction, subcl 0.3.2.


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31-3:1992(E)

(continued) Item No. 3-20.1 3-18.1)

Quantity

second moment of area, (second axial moment of area)

Definition

Symbol

Rema

The second axial moment of area of a plane area (section) about an axis in its plane is the sum (integral) of the products of its elements of area and the squares of their distances from the axis

3-20.2 second polar moment of area

The second polar moment of area of a plane area (section) about a point in its plane is the sum (integral) of the products of its elements of area and the squares of their distances from the point

section modulus

The section modulus of a plane area (section) about an axis in You're Reading a Preview its plane is the second moment of area divided by the distance Unlock full access with a free trial. from the axis to the most remote point of the area

3-21 (3-79.1)

These quantities sh tinguished from 3-7. often been given “moment of inertia The symbol may b second moment no danger of confus with moment of ine


dynamic friction factor 3-22.2 static friction factor

Ratio of frictional force to normal force, for a sliding body Maximum ratio of frictional force to normal force, for a body at rest

Master your semester with Scribd 3-23 viscosity, = & The New York Times viscosity) (dynamic dz Special offer for students: Only $4.99/month.

The friction facto the coefficient of fr

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where is the shear stress in a fluid moving with a velocity

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31-3:1

MECHANICS (conti

Units Item No.

Name of unit

3-20.a

metre to the fourth power

3-21 .a

metre cubed


Definition

Conversion factors and re


Download With Free Trial one

See

1

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the introduction, subclause


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31-3:1992(E)

MECHANICS (concluded) Item No.

Symbol

Quantity

3-26.1

energy

3-26.2

work

Definition

Remarks

All kinds of energy

E

(A)

(3-24.7) 3-26.3

potential energy

You're Reading a Preview where F is a conservative force Unlock full access with a free trial.

3-26.4 kinetic energy (3-24.4)


3-27

power

3-28

efficiency

Ratio of an output power to an input power

3-29 (3-26.7)

mass flow rate

Mass of matter which crosses a given surface divided by time

33 0 (3-27.1)

volume flow rate

Volume of matter which crosses a given surface divided by time

P

Rate of energy transfer


The output power an power shall be spec


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31

MECHANICS

Units Item No.

Name of unit


3-26.a joule

J

3-27.a

W

Definition

Conversion factors an

1 J is the work done whe of application of a force of displaced through a distan in the direction of the forc

1 W = 1 J/s

You're Reading a Preview

3-28.a one

1

See the introduction, subc 0.3.2.

Unlock full access with a free trial.


3-29.a

kilogram per second

cubic metre per Master your semester with Scribd second & The New York Times Special offer for students: Only $4.99/month.

(c


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31-3:1992(E)

Annex A (informative) Units in the CGS system with special names Quantity item No. 3- 9. 1

Quantity

force

Unit item No.

3-9.A.a

Name of unit with symbol

dyne: dyn

Definition and conversion factor

1 dyn is that force which, when applied to a You're Reading a Preview a mass of 1 g, gives it an acceleration of 1 Unlock full access 1 with dyna=free 1 trial. N

3-23

viscosity, (dynamic viscosity)

3-23.A.a

1 Free is the viscosity of a fluid in which the v poise: Download With Trial P a shear stress of 1 has a gradient 1 perpendicular to the plane of s 1 P = 1 dyn

3-24

kinematic viscosity

3-24.A.a

stokes:

= 1 g . cm-’ .

=

1 St is the kinematic viscosity of a fluid wi viscosity 1 P and volumic mass 1 St = 1

3-26.1

energy

3-26.A.a

erg:

erg

1 erg is the work done when the point of a a force of 1 dyn is displaced through a dista in the direction of the force. 1


erg = 1

cm =

J


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31

Annex (informative) Units based on the foot,

and second and some other un

The use of these units is deprecated. Quantity item No.

3-l

Quantity

mass

Unit item No.


Conversion factors and remarks

3-l

pound: lb

1 lb = 0,453 592 37 kg (exactly)

3-l

grain: gr

1 gr =

3-l

ounce: oz

3-l .B.d

1 cwta(UK) hundredweight: = 1 long cwt (US) = 112 lb (exactl You're Reading Preview 50,802 35 kg cw t

lb = 64,798 91 mg (exactly)

lb =

gr (exactly) = 28,349 52

Unlock full access with a free trial. 1 cwt (US) = 100

3-l .B.e

ton

lb (exactly) = 45,359 237 kg

Download With Free Trial 1 ton (UK) = 1 long ton (US) = 2 240 lb (exac 1 016,047 kg = 1 ,016 047 t 1

ton (US) = 2 000 lb (exactly) = 907,184 7 kg 0,907 184 7 t

Master your semester with Scribd 1 troy ounce  476 480 grFor (exactly) = 31,103 troy ounce or 3-l Read Free 30this Days Sign=up to vote on title  (exactly) & The New York Times apothecaries’  Useful  Not useful ounce Special offer for students: Only $4.99/month.

Cancel anytime.

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31-3:1992(E)

Units based on the foot, pound and second and some other units (concluded) Quantity item No.

Quantity

3-15.1

pressure

3-20.1

second moment of area

3-20.2

second polar moment of area

Unit item No.


pound-force per square inch:

Conversion factors and remarks 1

3-20.B.a inch to the fourth power:

= 6 894,757 Pa

= 41,623 14 x


3-21

section modulus

3-21

3-24

kinematic viscosity

3-24.B.a

inch cubed: = 16,387 064 x Download With Free Trial foot squared per

1

(exactly)

= 0,092 903 04

second:

3-26.1

energy

foot pound-force: Ibf

3-27

power

3-27.B.a foot pound-force per second:


1

1

= 1,355 818 W

1 horsepower (hp) = 550 745,699 9 W

(exactly) =


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Annex C (informative)

Other units given for information, especially regarding the conversio The use of these units is deprecated.

No. I-1

l-9.1

Quantity

Unit item No.


Conversion factors and remarks

metric carat

1 metric carat = 200 mg (exactly)

lineic mass, 3-5.C.a linear density

tex

1 tex =

force

kilogram-force:

1 kgf = 9,806 65 N (exactly)

mass

3-l .C.a

3-9.C.a

kgf

kg/m

The symbols kgf (kilogram-force) and kp both used. This unit must be distinguished f local weight of a body having a mass of 1 kg You're Reading Preview is the standard acceleration o 9,806a 65 CGPM,

Unlock full access with a free trial.

1 kgf m = 9,806 65 N m (exactly) kilogram-force metre: Download With Free Trial kgf m

2.1

moment of force

3-12.C.a

5.1

pressure

3-l 5.C.a standard atmosphere: atm

1 atm = 101 325 Pa (exactly)

Master your semester Scribd 1 3-l 5.C.b with kilogram-force per square & The New York Times metre: Special offer for students: Only $4.99/month.

= 9,806 65 Pa (exactly)


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31-3:1992(E)

Other units given for information, especially regarding the conversion factor (conclu Quantity item No.

Quantity

3-26.1

energy

3-27

power

Unit item No.


Conversion factors and remark

1 kgf You're Reading a Preview m = 9,806 65 J (exactly) 3-26.C.a kilogram-force metre: kgf . mUnlock full access with a free trial.

Download With Freem/s Trial= 9,806 65 W (exactly) 1 kgf 3-27.C.a kilogram-force metre per second: kgf m/s

metric horsepower


metric horsepower = 75 kgf 735,498 75 W (exactly) 1


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