16
MMPDS-04 1 April 2008 2-173 Specification Form AMS 5659 Bar, forging, ring, and extrusion AMS 5862 Sheet, strip, and plate AMS 5400 Investment casting 2.6.7 15-5PH 2.6.7.0 Comments and Properties  15-5PH is a precipitation-harden ing, martensitic stainless steel used for parts requiring corrosion resistance and high strength at temperatures up to 600 F. Alloy 15-5PH has good transverse ductility and strength in large section sizes. This material is supplied in either the annealed or overaged condition and is heat-t reated after fabrication. These parts should never be used in Condi tion A. When good fracture toughness or impact properties are required, both at or below room temperature, conditions H900 and H925 should not be used. Conditions H1025, H10 75, H1100, and H1150 provide lower transitio n temperatures and more useful levels of fracture toughness than the H900 and H925 cond itions. The H1150M condition has the best notch toughness and is recommended for cr yogenic applications.  Manufacturing Considerations  — 15-5PH is readily forged and welded. Forging procedures are similar to those used for 17-4PH, the forgeability of 15-5PH being superior to that of 17-4PH in critical types of upset-forging and hot-flattenin g operations. Machining in the sol ution-treated condition is done at rates similar to Type 304 and 60 percent of these rates work well for Condition H900. Highest machining rates are  possible with Co nditions H1150 and H115 0M. Material whi ch is hot-worked must be solution-treated before hardening. A dimensional contraction of 0.0004 to 0.0006 and 0.0008 to 0.0010 in./in. will occur on hardening to the H900 and H1150 conditions, respectively.  Heat Treatment  — 15-5PH must be used in the heat-treated condition and should not be placed in service in Condition A. The alloy can be heat-treated to various strength levels having a wide range of  properties. Consult the applicable material specification or AMS-H-6875 for specific heat-treatment  procedures.  Environmental Considerations The co rrosion resistance of 15 -5PH is comparable to t hat of 17-4PH. For tensile applications where stress corro sion is a possibility, 15-5PH should b e aged at the highest temperature compatible with strength requirements and at a temperature not lower than 1025 F for 4 hours minimum aging time. Specifications and Properties  — Material specifications for 15-5PH are presented in Table 2.6.7.0(a). Room temperature mechanical and physical properties of 15-5PH are shown in Tables 2.6.7.0(b) through 2.6.7.0(d). The effect of temperature on physical properties is depicted in Fig ure 2.6.7.0. Table 2.6.7.0(a). Material Specificat ions for 15-5PH Stainless Steel

Steel_15-5PH_mmpds

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MMPDS-04

1 April 2008

2-173

Specification Form

AMS 5659 Bar, forging, ring, and extrusion

AMS 5862 Sheet, strip, and plate

AMS 5400 Investment casting

2.6.7  15-5PH

2.6.7.0 Comments and Properties — 15-5PH is a precipitation-hardening, martensitic stainless

steel used for parts requiring corrosion resistance and high strength at temperatures up to 600(F. Alloy 15-5PH

has good transverse ductility and strength in large section sizes. This material is supplied in either the annealedor overaged condition and is heat-treated after fabrication. These parts should never be used in Condition A.

When good fracture toughness or impact properties are required, both at or below room temperature, conditions

H900 and H925 should not be used. Conditions H1025, H1075, H1100, and H1150 provide lower transition

temperatures and more useful levels of fracture toughness than the H900 and H925 conditions. The H1150M

condition has the best notch toughness and is recommended for cryogenic applications.

 Manufacturing Considerations — 15-5PH is readily forged and welded. Forging procedures are

similar to those used for 17-4PH, the forgeability of 15-5PH being superior to that of 17-4PH in critical types

of upset-forging and hot-flattening operations. Machining in the solution-treated condition is done at rates

similar to Type 304 and 60 percent of these rates work well for Condition H900. Highest machining rates are

 possible with Conditions H1150 and H1150M. Material which is hot-worked must be solution-treated before

hardening. A dimensional contraction of 0.0004 to 0.0006 and 0.0008 to 0.0010 in./in. will occur on hardeningto the H900 and H1150 conditions, respectively.

 Heat Treatment — 15-5PH must be used in the heat-treated condition and should not be placed in

service in Condition A. The alloy can be heat-treated to various strength levels having a wide range of 

 properties. Consult the applicable material specification or AMS-H-6875 for specific heat-treatment

 procedures.

 Environmental Considerations — The corrosion resistance of 15-5PH is comparable to that of 

17-4PH. For tensile applications where stress corrosion is a possibility, 15-5PH should be aged at the highest

temperature compatible with strength requirements and at a temperature not lower than 1025(F for 4 hours

minimum aging time.

Specifications and Properties — Material specifications for 15-5PH are presented in Table 2.6.7.0(a).

Room temperature mechanical and physical properties of 15-5PH are shown in Tables 2.6.7.0(b) through

2.6.7.0(d). The effect of temperature on physical properties is depicted in Figure 2.6.7.0.

Table 2.6.7.0(a). Material Specifications for 15-5PH Stainless Steel

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MMPDS-04

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2-174

Table 2.6.7.0(b). Design Mechanical and Physical Properties of 15-5PH Stainless Steel

Bar and Forging

S

S

p

p

e

e

c

c

i

i

f

i

i

c

c

a

a

t

t

i

i

o

o

n

n

.

.

.

.

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.

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.

.

.

.

.

.

.

A

A

M

M

S

S

 

5

5

6

6

5

5

9

9

F

F

o

o

r

r

m

m

.

.

.

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.

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.

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.

.

B

B

a

a

r

ra

a

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

.

.

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H

H

9

9

0

0

0

0

H

H

9

9

2

2

5

5

H

H

1

1

0

0

2

2

5

5

H

H

1

1

0

0

7

7

5

5

H

H

1

1

1

1

0

0

0

0

H

H

1

1

1

1

5

5

0

0

T

T

h

h

i

i

c

c

k

k

n

n

e

e

s

s

s

s

 

o

o

r

r

 

d

d

i

i

a

a

m

m

.

.

,

,

 

i

i

n

n

.

.

 

1

1

2

2

1

1

2

2

1

1

0

0

>

>

1

1

0

0

-

-

1

1

2

2

1

1

2

2

1

1

2

2

1

1

2

2

B

B

a

a

s

s

i

i

s

s

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S

S

S

S

A

A

B

B

S

S

S

S

S

S

S

S

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..

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,

,

 

k

k

s

s

i

i

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:

L

L

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 F cy

,

,

 

k

k

s

s

i

i

:

:

L

L

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T

T

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k

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k

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(

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=

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5

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)

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e

,

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p

p

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:

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119900

119900

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b

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9

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33

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MMPDS-04

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2-175

Table 2.6.7.0(c). Design Mechanical and Physical Properties of 15-5PH Stainless SteelPlate

S

S

p

p

e

e

c

c

i

i

f

i

i

c

c

a

a

t

t

i

i

o

o

n

n

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A

A

M

M

S

S

 

5

5

8

8

6

6

2

2

F

F

o

o

r

r

m

m

.

.

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aa TThhee HH990000,, HH992255,, HH11007755,, HH11110000,, aanndd HH11115500 ccoonnddiittiioonnss aarree iinncclluuddeedd iinn AAMMSS 55886622..bb BBeeaarriinngg vvaalluueess aarree ““ddrry y ppiinn”” vvaalluueess ppeerr SSeeccttiioonn 11..44..77..11..

7/14/2019 Steel_15-5PH_mmpds

http://slidepdf.com/reader/full/steel15-5phmmpds 4/16

MMPDS-04

1 April 2008

2-176

Table 2.6.7.0(d). Design Mechanical and Physical Properties of 15-5PH Stainless SteelInvestment Casting

S

S

p

p

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F

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I

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m

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t

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i

n

n

g

g

CCoonnddiittiioonn .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. HH993355

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2

2

6

6

9

9

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 ).. .. .. .. .. .. .. .. .. .. .. .. 220099

 

 

 

 

 

(

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7/14/2019 Steel_15-5PH_mmpds

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MMPDS-04

1 April 2008

2-177

7 H P S H U D W X U H )  

 

 .

 

 %

 W

 X

 

 >

 

 K

 U

 

 

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α +  

α +  

. +  

α,+  

α % H W Z H H Q ) D Q G L Q G L F D W H G W H P S H U D W X U H  

. $ W L Q G L F D W H G W H P S H U D W X U H  

Figure 2.6.7.0. Effect of temperature on the physical properties of 15-5PH stainlesssteel.

7/14/2019 Steel_15-5PH_mmpds

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MMPDS-04

1 April 2008

2-178

Temperature, F

-400 -200 0 200 400 600 800 1000

   P  e  r  c  e  n   t  a  g  e  o   f

   R  o  o  m

    T  e  m  p  e  r  a   t  u  r  e   S   t  r  e  n  g   t   h

0

20

40

60

80

100

120

140

160

180

200

Fty

Ftu

Strength at temperatureExposure up to ½ hr 

Figure 2.6.7.1.1. Effect of temperature on the tensile ultimate strength (Ftu) and thetensile yield strength (Fty ) of 15-5PH (H925, H1025, and H1100) stainless steel bar.

2.6.7.1 Various Heat-Treated Conditions  ——  EElleevvaatteedd tteemmppeerraattuurree ccuurrvveess ff oorr tthhee vvaarriioouussmmeecchhaanniiccaall pprrooppeerrttiieess aarree sshhoowwnn iinn FFiigguurreess 22..66..77..11..11 aanndd 22..66..77..11..44..  TTy yppiiccaall ssttrreessss--ssttrraaiinn aanndd ttaannggeenntt--mmoodduulluuss

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MMPDS-04

1 April 2008

2-179

7 H P S H U D W X U H )  

 

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7 < 3 , & $ /  

( ( 

 

Figure 2.6.7.1.4. Effect of temperature on the tensile and compressive moduli (E and Ec)of 15-5PH stainless steel.

7/14/2019 Steel_15-5PH_mmpds

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MMPDS-04

1 April 2008

2-180

Figure 2.6.7.1.6(b). Typical compressive stress-strain and compressive tangent-modulus curves at room temperature for various heat-treated conditions of 15-5PH

stainless steel bar.

Strain, 0.001 in./in.0 2 4 6 8 10 12

   S   t  r  e  s  s ,

   k  s   i

0

40

80

12 0

16 0

20 0

TYPICAL

Thickness: 1.000-1.250 in.

n (H925) = 13n (H1025) = 24

Ramberg-Osgood

n (H1100) = 22

n (H1150) = 9.0

n (H1150M) = 7.8

H1025

H925Longitudinal

H1100

H1150

H1150M

Figure 2.6.7.1.6(a). Typical tensile stress-strain curves at room temperature for various heat-treated conditions of 15-5PH stainless steel bar.

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MMPDS-04

1 April 2008

2-181

Strain, 0.001 in./in.

0 2 4 6 8 10 12

   S   t  r  e  s  s ,

   k  s   i

0

40

80

120

160

200

Compressive Tangent Modulus, 103 ksi0 6 12 18 24 30 36

Ramberg-Osgood

n (Tension) = 12n (Comp.) = 12

TYPICAL

Thickness: 0.500 - 1.875 in.

Compressive

Tensile

Figure 2.6.7.1.6(c). Typical tensile and compressive stress-strain and compressivetangent-modulus curves for 15-5PH (H935) stainless steel casting.

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MMPDS-04

1 April 2008

2-182

Temperature, F

0 200 400 600 800 1000 1200 1400 1600

   P  e  r  c  e  n   t  a  g  e  o   f   R

  o  o  m    T

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0

20

40

60

80

100

Strength at temperatureExposure up to ½ hr 

Figure 2.6.7.2.2. Effect of temperature on the compressive yield strength (Fcy ) of 15-5PH(H1025) stainless steel bar.

Figure 2.6.7.2.6(a). Typical compressive stress-strain and compressive tangent-moduluscurves at various temperatures for 15-5PH (H1025) stainless steel bar.

2.6.7.2 H1025 Condition—

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MMPDS-04

1 April 2008

2-183

Strain, 0.001 in./in.

0 2 4 6 8 10 12

   S   t  r  e  s  s ,

   k  s   i

0

40

80

120

160

200

Compressive Tangent Modulus, 103

ksi

0 5 10 15 20 25 30

L and LT compression

L and LT-tension

Ramberg-Osgood TYS

n (L-tension) = 23 161n (LT-tension) = 23 161n (L-comp.) = 20 169n (LT-comp.) = 21 169

TYPICAL

Thickness: 1.500 - 5.500 in.

Figure 2.6.7.2.6(b). Typical tensile and compressive stress-strain and compressivetangent-modulus curves for 15-5PH (H1025) stainless steel plate.

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MMPDS-04

1 April 2008

2-184

Fatigue Life, Cycles

103 104 105 106 107 108

   M  a  x   i  m  u  m    S

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0.100

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15-5 PH(H1025) LG/TR Kt=3.0

Runouto

on net section.Note: Stresses are based

Figure 2.6.7.2.8(a). Best-fit S/N curve for notched, K t = 3.0, 15-5PH (H1025 Type 1)stainless steel bar, longitudinal and long transverse directions.

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]

7/14/2019 Steel_15-5PH_mmpds

http://slidepdf.com/reader/full/steel15-5phmmpds 13/16

MMPDS-04

1 April 2008

2-185

Fatigue Life, Cycles

104 105 106 107 108

   M

  a  x   i  m  u  m    S

   t  r  e  s  s ,

   k  s   i

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150

160

170

180

o

.

.

Stress Ratio

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15-5PH (H1025), Kt = 1.0

Runouto

on net section.

Note: Stresses are based

Figure 2.6.7.2.8(b). Best-fit S/N curve for unnotched, K t = 1.0, 15-5PH (H1025 Type 1)stainless steel plate, longitudinal and long transverse directions.

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9

7/14/2019 Steel_15-5PH_mmpds

http://slidepdf.com/reader/full/steel15-5phmmpds 14/16

MMPDS-04

1 April 2008

2-186

Fatigue Life, Cycles

103 104 105 106 107 108

   M  a  x   i  m  u  m    S

   t  r  e  s  s ,

   k  s   i

30

40

50

60

70

80

90

100

110

120

o

o

o

o

.

.

Stress Ratio

0.100

15-5PH (H1025), Kt = 3.0

Runouto

on net section.

Note: Stresses are based

Figure 2.6.7.2.8(c). Best-fit S/N curve for notched, K t = 3.0, 15-5PH (H1025 Type 1)stainless steel plate, longitudinal and long transverse directions.

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5

7/14/2019 Steel_15-5PH_mmpds

http://slidepdf.com/reader/full/steel15-5phmmpds 15/16

MMPDS-04

1 April 2008

2-187

Figure 2.6.7.3.2. Effect of temperature on the compressive yield strength (Fcy ) of15-5PH (H1150) stainless steel bar.

Figure 2.6.7.3.6. Typical compressive stress-strain and tangent-modulus curves at various temperatures for 15-5PH (H1150) stainless steel bar.

2.6.7.3 H1150 Condition—

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7/14/2019 Steel_15-5PH_mmpds

http://slidepdf.com/reader/full/steel15-5phmmpds 16/16

MMPDS-04

1 April 2008

2-188

Table 2.6.8.0(a). Material Specification for PH15-7Mo Stainless Steel

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A

A

M

M

S

S

 

5

5

5

5

2

2

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a

a

t

t

e

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s

s

h

h

e

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e

e

t

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,

,

 

a

a

n

n

d

d

 

s

s

t

t

r

r

i

i

p

p

2.6.8 PH15-7Mo

2.6.8.0 Comments and Properties —— PPHH1155--77MMoo iiss aa sseemmiiaauusstteenniittiicc ssttaaiinnlleessss sstteeeell uusseedd wwhheerreehhiigghh ssttrreennggtthh aanndd ggoooodd ccoorrrroossiioonn aanndd ooxxiiddaattiioonn rreessiissttaannccee aarree nneeeeddeedd uupp ttoo 660000(FF..  TThhiiss sstteeeell iiss ssuupppplliieedd iinn

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

 

A

A

 

f

o

o

r

r

 

e

e

a

a

s

s

e

e

 

o

o

f

 

f

o

o

r

r

m

m

i

i

n

n

g

g

 

o

o

r

r

 

i

i

n

n

 

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

 

C

C

 

w

w

h

h

e

e

n

n

 

t

t

h

h

e

e

 

h

h

i

i

g

g

h

h

e

e

s

s

t

t

 

s

s

t

t

r

r

e

e

n

n

g

g

t

t

h

h

 

i

i

s

s

 

r

r

e

e

q

q

u

u

i

i

r

r

e

e

d

d

.

.

 Manufacturing Considerations

 

 

P

P

H

H

1

1

5

5

-

-

7

7

M

M

o

o

 

i

i

n

n

 

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

 

A

A

 

i

i

s

s

 

r

r

e

e

a

a

d

d

i

i

l

l

y

 y

 

c

c

o

o

l

l

d

d

-

-

f

o

o

r

r

m

m

e

e

d

d

.

.

 

 

C

C

o

o

n

n

v

v

e

e

n

n

t

t

i

i

o

o

n

n

a

a

l

l

i

i

n

n

e

e

r

r

t

t

 

g

g

a

a

s

s

-

-

s

s

h

h

i

i

e

e

l

l

d

d

e

e

d

d

 

a

a

r

r

c

c

 

a

a

n

n

d

d

 

r

r

e

e

s

s

i

i

s

s

t

t

a

a

n

n

c

c

e

e

 

t

t

e

e

c

c

h

h

n

n

i

i

q

q

u

u

e

e

s

s

 

a

a

r

r

e

e

 

g

g

e

e

n

n

e

e

r

r

a

a

l

l

l

l

y

 y

 

u

u

s

s

e

e

d

d

 

f

o

o

r

r

 

w

w

e

e

l

l

d

d

i

i

n

n

g

g

.

.

 

 

T

T

h

h

e

e

 

h

h

e

e

a

a

t

t

 

t

t

r

r

e

e

a

a

t

t

m

m

e

e

n

n

t

t

s

s

 

f

o

o

r

r

 

t

t

h

h

i

i

s

s

s

s

t

t

e

e

e

e

l

l

 

a

a

r

r

e

e

 

c

c

o

o

m

m

p

p

a

a

t

t

i

i

b

b

l

l

e

e

 

w

w

i

i

t

t

h

h

 

t

t

h

h

e

e

 

c

c

y

 y

c

c

l

l

e

e

s

s

 

u

u

s

s

e

e

d

d

 

f

o

o

r

r

 

h

h

o

o

n

n

e

e

y

 y

c

c

o

o

m

m

b

b

 

p

p

a

a

n

n

e

e

l

l

 

b

b

r

r

a

a

z

z

i

i

n

n

g

g

.

.

 

 

V

V

a

a

p

p

o

o

r

r

 

b

b

l

l

a

a

s

s

t

t

i

i

n

n

g

g

 

o

o

f

 

s

s

c

c

a

a

l

l

e

e

d

d

 

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

T

T

H

H

1

1

0

0

5

5

0

0

 

p

p

a

a

r

r

t

t

s

s

 

i

i

s

s

 

r

r

e

e

c

c

o

o

m

m

m

m

e

e

n

n

d

d

e

e

d

d

 

b

b

e

e

c

c

a

a

u

u

s

s

e

e

 

o

o

f

 

t

t

h

h

e

e

 

h

h

a

a

z

z

a

a

r

r

d

d

s

s

 

o

o

f

 

i

i

n

n

t

t

e

e

r

r

g

g

r

r

a

a

n

n

u

u

l

l

a

a

r

r

 

c

c

o

o

r

r

r

r

o

o

s

s

i

i

o

o

n

n

 

i

i

n

n

 

a

a

d

d

e

e

q

q

u

u

a

a

t

t

e

e

l

l

y

 y

 

c

c

o

o

n

n

t

t

r

r

o

o

l

l

l

l

e

e

d

d

p

p

i

i

c

c

k

k

l

l

i

i

n

n

g

g

 o

o

p

p

e

e

r

r

a

a

t

t

i

i

o

o

n

n

s

s

.

.

I

I

n

n

 h

h

a

a

r

r

d

d

e

e

n

n

i

i

n

n

g

g

 t

t

h

h

i

i

s

s

 s

s

t

t

e

e

e

e

l

l

 f

r

r

o

o

m

m

 C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

 A

A

 t

t

o

o

 C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

 T

T

H

H

1

1

0

0

5

5

0

0

,

,

 a

a

 n

n

e

e

t

t

 d

d

i

i

m

m

e

e

n

n

s

s

i

i

o

o

n

n

a

a

l

l

 g

g

r

r

o

o

w

w

t

t

h

h

 o

o

f

00..000044--iinn../ / iinn.. sshhoouulldd bbee aannttiicciippaatteedd..  UUssee ooff  tthhiiss sstteeeell iinn CCoonnddiittiioonnss TT aanndd TT--110000 iiss nnoott rreeccoommmmeennddeedd.. Environmental Considerations —— TThhee rreessiissttaannccee ooff  PPHH1155--77MMoo ttoo ssttrreessss--ccoorrrroossiioonn ccrraacckkiinngg iinn cchhlloorriiddee

e

e

n

n

v

v

i

i

r

r

o

o

n

n

m

m

e

e

n

n

t

t

s

s

 

h

h

a

a

s

s

 

b

b

e

e

e

e

n

n

 

e

e

v

v

a

a

l

l

u

u

a

a

t

t

e

e

d

d

 

a

a

n

n

d

d

 

f

o

o

u

u

n

n

d

d

 

t

t

o

o

 

b

b

e

e

 

s

s

u

u

p

p

e

e

r

r

i

i

o

o

r

r

 

t

t

o

o

 

t

t

h

h

a

a

t

t

 

o

o

f

 

t

t

h

h

e

e

 

a

a

l

l

l

l

o

o

y

 y

 

s

s

t

t

e

e

e

e

l

l

s

s

 

a

a

n

n

d

d

 

t

t

h

h

e

e

 

h

h

a

a

r

r

d

d

e

e

n

n

a

a

b

b

l

l

e

e

c

c

h

h

r

r

o

o

m

m

i

i

u

u

m

m

 

s

s

t

t

e

e

e

e

l

l

s

s

.

.

 

 

C

C

o

o

n

n

d

d

i

i

t

t

i

i

o

o

n

n

s

s

 

C

C

 

a

a

n

n

d

d

 

C

C

H

H

 

9

9

0

0

0

0

 

p

p

r

r

o

o

v

v

i

i

d

d

e

e

 

m

m

a

a

x

x

i

i

m

m

u

u

m

m

 

r

r

e

e

s

s

i

i

s

s

t

t

a

a

n

n

c

c

e

e

 

t

t

o

o

 

s

s

t

t

r

r

e

e

s

s

s

s

 

c

c

o

o

r

r

r

r

o

o

s

s

i

i

o

o

n

n

.

.

Specification and Properties

 

 

A

A

 

m

m

a

a

t

t

e

e

r

r

i

i

a

a

l

l

 

s

s

p

p

e

e

c

c

i

i

f

i

i

c

c

a

a

t

t

i

i

o

o

n

n

 

f

o

o

r

r

 

P

P

H

H

1

1

5

5

-

-

7

7

M

M

o

o

 

s

s

t

t

a

a

i

i

n

n

l

l

e

e

s

s

s

s

 

s

s

t

t

e

e

e

e

l

l

 

i

i

s

s

 

p

p

r

r

e

e

s

s

e

e

n

n

t

t

e

e

d

d

 

i

i

n

n

T

T

a

a

b

b

l

l

e

e

 

2

2

.

.

6

6

.

.

8

8

.

.

0

0

(

(

a

a

)

 )

.

.

 

T

T

h

h

e

e

 

r

r

o

o

o

o

m

m

 

t

t

e

e

m

m

p

p

e

e

r

r

a

a

t

t

u

u

r

r

e

e

 

p

p

r

r

o

o

p

p

e

e

r

r

t

t

i

i

e

e

s

s

 

o

o

f

 

P

P

H

H

1

1

5

5

-

-

7

7

M

M

o

o

 

a

a

r

r

e

e

 

s

s

h

h

o

o

w

w

n

n

 

i

i

n

n

 

T

T

a

a

b

b

l

l

e

e

s

s

 

2

2

.

.

6

6

.

.

8

8

.

.

0

0

(

(

b

b

)

 )

 

a

a

n

n

d

d

 

2

2

.

.

6

6

.

.

8

8

.

.

0

0

(

(

c

c

)

 )

.

.

T

T

h

h

e

e

 

p

p

h

h

y

 y

s

s

i

i

c

c

a

a

l

l

 

p

p

r

r

o

o

p

p

e

e

r

r

t

t

i

i

e

e

s

s

 

o

o

f

 

t

t

h

h

i

i

s

s

 

a

a

l

l

l

l

o

o

y

 y

 

a

a

t

t

 

r

r

o

o

o

o

m

m

 

a

a

n

n

d

d

 

e

e

l

l

e

e

v

v

a

a

t

t

e

e

d

d

 

t

t

e

e

m

m

p

p

e

e

r

r

a

a

t

t

u

u

r

r

e

e

s

s

 

a

a

r

r

e

e

 

p

p

r

r

e

e

s

s

e

e

n

n

t

t

e

e

d

d

 

i

i

n

n

 

F

F

i

i

g

g

u

u

r

r

e

e

 

2

2

.

.

6

6

.

.

8

8

.

.

0

0

.

.