UNIT II PROPERTIES OF MATER AND THERMAL PHYSICS

UNIT II PROPERTIES OF MATER AND THERMAL PHYSICS

SUDEC/K.KARTHIKEYAN/STUDY MATERIAL/PH6151/ENGG PHYSICS – I /2013-2014 Page 1

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DimensionOriginal

DimensioninChange

.

..

L

l

CDBA





V

v

2 NmStrain

StressE









2

.

. NmStrainlLogitudina

StressLogitudnal





A

F

L

l

Ll

AF

YModulusYoungs ..

2 NmAl

FLY

2NmBulkStrain

BulkStress

A

F

V

v

vA

FV

Vv

AF

2Nmv

PVA

F





2

.

. NmStrainTangential

StressTangential

GHFECDBA

2

.

. NmA

F

StrainShearing

StressTangential





StrainalLongitudin

StrainLateral

.

.

a

Ll

DdD /

lD

dDL













QP

xRQP





PQQP

RxR

x

R

x

R

x

strainLinear

StressY

.

R

YxStress

A QP

A

AR

Yx.

xAR

Yx..

2.. xAR

Y

AxR

Y 2..

22 AKAx





R

YI g

12

2dK

1212

. 322 bddbd

AKI g

R

bd

12

3

2r4

22 r

K

44

4222 rrr

AKI g

R

Yr

4

4





gYI

Wly

3

3

gYI

lWy

3

223

gYI

Wly

48

3





21 aWaWM p

)( 21 aaWM p

WaM p

R

YI g





R

YIWa

g

AFO

222 FOAFOA

222

222

FEOAAF

FEAFOA

FE

FE

OAFEAF

22

22

2

22

24

24

)2(2

xxRl

xRxl

xR

Rx

l

xRl

24

2

R

lx

8

2

x

lR

8

2





xl

YIaW

g

8.

2

2

8.

l

xYIaW

g

gYI

Walx

8

2





AO

R

YI g

R

YI g

xlW

YIR

g

A





dPCQ

R

dxd

xlWYI

dxd

g

dxxlYI

Wd

g

SAQ xl

dy

d xldy

dxxlIY

Wdy

g

.2

dxxlYI

Wy

l

g

.2

0

dxxlxlYI

Wy

l

g

.20

22

l

g

xlxxl

YI

Wy

0

322

3.

2

2

3.

333 l

llYI

Wy

g

3

3l

YI

Wy

g

gYI

Wly

3

3





12

3bdI g

3

3

3

3 4

123 Ybd

Wl

bdY

Wly

4

4rI g

Yr

Wl

rY

Wly

4

3

4

3

3

4

43





1

2

21





xQ

tQ

Q

AQ

1

21

x

tKAQ

x

tAQ

21

21

21

21

21 dx

d

tdx

dKAQ





tA

QxK

)( 21

SecondKelvinmetre

metreJoule

..2

11 KWm

0

01

01

01

kdt

dQ

dt

dQ

C0

1 C0

2

d

mSddQ

dt

dmS

dt

dQ





0 kdt

dQ

0

kdt

dmS

Kdt

d

dtmS

kd

0

0

mS

k

dtKd

0

cKte 0log

cmxy

C0

1 C0

2

2

10log

e

Kt

01

02log





x





dx

d

xdx

dQ

x

dx

d

dx

dQ

xdx

d

dx

d

2

2

dx

dKAQ

1

xdx

dK

dx

dKAQ

xdx

d

dx

dKAQ

2

2

1

2

2

1

x

21 QQQ

xdx

dKAQ

xdx

dKA

dx

dKA

dx

dKAQ

xdx

dKA

dx

dKA

dx

dKAQ

2

2

2

2

2

2

dt

d

dt

dSxA





dt

d

xEp

x

dt

dSxA

xEp

dt

dSxAx

dx

dKA

2

2

xEp

x

KA

Ep

dt

d

K

S

dx

d

2

2

xEp





dt

d

hdt

d

K

S

dx

d 12

2

hS

K

0dt

d

KA

Ep

dx

d

2

2

2KA

Ep

2

2

2

dx

d

xx BeAe

0

0

BA 0

0,

Ae

e

B0





xe 0

21 and

1

11

x

AKQ

2

22

x

AKQ

2

212

1

211

x

AK

x

AK

122211 xAKxAK

1221221211 xKxKxKxK

2112122211 xKxKxKxK

2112122211 xKxKxKxK





2112

122211

xKxK

xKxK

2112

1222111

1

1

xKxK

xKxK

x

AKQ

2112

122211211112

1

1

xKxK

xKxKxKxK

x

AKQ

2112

122112

1

1

xKxK

xKxK

x

AKQ

2112

1211

1

21

xKxK

xx

x

AKKQ

2112

211

1

21

xKxK

x

x

AKKQ

2112

21

21xKxK

AKKQ

2112

2121

xKxK

AKK

21

21

21

12

21

KK

xK

KK

xK

A

2

2

1

1

21

K

x

K

x

A

K

x

A 21





21andKK 21andxx

1

2

1A 2A

1

21111

x

AKQ

2

21221

x

AKQ

1Q 2Q

21 QQQ

1

2111

x

AKQ

2

2122

x

AK

2

22

1

1121

x

AK

x

AKQ

x

KAQ 21









1 2

1

2

2

2r

d

rK

d

KAQ 21

2

21

MSR

d

rK

21

2

11

21

2

KWm

r

MSRdK





2

2

dt

d

2

hrrrhr 222

hrrrhr 222 2

hr

hr

hrr

hrr

dt

d

R

2

2

2

2

hr

hr

dt

dR

2

2.





hr

hr

r

ddt

dMS

2

21

2

1 2

dr

dKAQ

lr 2

dr

drlKQ

2





dQ

lK

r

dr

2

1

2

1

2d

Q

lK

r

drr

r

2

1

2

1

2log

Q

lKr

r

re

Q

lK2 12

2112

2loglog 2

1

Q

lKrr

r

ree

21

1

2 2log

Q

lK

r

re

1

2

21

log

2

r

r

lKQ

e

21

1

2

2

log

l

r

rQ

K

e





C0

1

C0

2

1W

2W

12 WW

C0

1

C0

2

21

211 SW

12212 SWW





t

SWWSWQ 122121211

21

1

2

2

log

l

r

rQ

K

e

22

log

2

1

21221211

s

e

lt

r

rSWWSW

K

s

2

2 = average temperature inside of rubber tube



Documents

UNIT II PROPERTIES OF MATER AND THERMAL PHYSICS