EFFECTIVE JOINT-CONTACT SURFACE SEATING WIDTH

b=0.5√bo, WHEN bo>/4"

EFFECTIVE JOINT-CONTACT SURFACE SEATING WIDTH

b=bo, WHEN bo<1/4"

Equation (11)

EQUATIONS

Equation (1)

ANGLE SEAL

Equation (2)

COMPLEMENTARY ANGLE

WELD THICKNESS MIN BODY-BONNET

Equation (3)

OUTSIDE DIA. OF BALL

Equation (4)

INSIDE DIA. OF BODY

Equation (5)

BODY WALL THICKNEES C

PRODUCT ENGINEERING

Equation (9)

BASIC GASKET SEATING WIDTH

Equation (10)

Equation (6)

MINIMUM THICKNESS OF BODY m

Equation (7)

WELD THICKNESS BODY-BONNET

Equation (8)

2

362

d

dA S

SA º45

)180

(

Sen

dB

25.0005.1 Bib

)005.0( ibCm tt

Aib

C td

t

3

2

dtt ib

Ab

)375.0015.0(

3

2

05.0)375.0015.1( ibBW tt

2

Nbo

bob

bob 5.0

Equation (23)

SPOT FACE DIA.

Equation (20)

Equation (21)

BOLT AREA AT ROOT THREAD (SIZE OF BOLT)

Equation (22)

TOTAL AREA OF BOLTS AT ROOT THREAD (GASKET

SEATING)

BOLT CIRCLE DIA.

Equation (17)

MIN. REQUIRED BOLT LOAD (OPERATING CONDITIONS)

Equation (18)

MIN. REQUIRED BOLT LOAD (GASKET SEATING)

Equation (19)

TOTAL AREA OF BOLTS AT ROOT THREAD

(OP.CONDITIONS)

Equation (14)

DIAMETER OF GASKET LOAD CENTER

Equation (15)

TOTAL HYDROSTATIC END FORCE

Equation (16)

TOTAL JOINT-CONTACT SURFACE COMPRESSION LOAD

PRODUCT ENGINEERING

EQUATIONS

Equation (13)

EFECTIVE JOINT-CONTACT SURFACE SEATING WIDTH bob 5.0

𝐺 = 1.01∅𝑖𝑏 + 0.5

PGH 2785.0

GmPbHp 2

𝑊𝑚1 = 𝐻 + 𝐻𝑝

yGbWm 2

Sb

WmAm 1

1

Sa

WmAm 2

2

Nb

AmAt

5.02 bØibBCD

25.075.1 bpfS

Equation (35)

DIA. OF SEAL

Equation (32)

Equation (33)

FACTOR 3

Equation (34)

FLANGE TO BODY THICKNESS

FACTOR 2

Equation (29)

BODY END TO DIMENSION

Equation (30)

END WALL THICKNESS

Equation (31)

FACTOR 1

Equation (26)

DISTANCE BETWEEN HOLES

Equation (27)

BOLT STRESS (BY Pt)

Equation (28)

TORQUE OF BOLTS

PRODUCT ENGINEERING

EQUATIONS

Equation (25)

OUTSIDE DIA. REQUIRED OF BODYpfer SBCD

180

360

2 Nb

BCDLh

t

tbp

ANbP

PHS

1

0158.0 btbp ASTb

18054tan

ibØ

Lc

𝑡𝑛𝑒 = 𝑡𝑚 + 0.01 ∗ 𝑑

𝑓1 =3 ∗ 𝐻

2𝜋 ∗ (1

𝑅𝑝 ∗ 36000)

∗

2(∅𝑒𝑟)2∗ (1

𝑅𝑝 + 1)

(∅𝑒𝑟)2+𝑑2

𝑓2 = ln𝐵𝐶𝐷

𝑑

𝑓3 =𝐵𝐶𝐷2 − 𝑑2

(∅𝑒𝑟)2−𝑑2

𝐸𝑏𝑐 = 𝑓1 ∗ 𝑓2 ∗ 𝑓3 +1

𝑅𝑝− 2.25 - 0.7

18045

SenD BS

Equation (47)

STEM DIA.

Equation (44)

CONTACT FORCE

Equation (45)

CONTACT PRESSURE OF BEARING

Equation (46)

END TO END BALL DIMENSION

Equation (41)

BEARING DIA.

Equation (42)

BEARING ANGLE

Equation (43)

BEARING HEIGTH

Equation (38)

TOTAL SPRING FORCE

Equation (39)

SPRING FORCE

Equation (40)

WALL THICKNESS BORE TO BALL

PRODUCT ENGINEERING

EQUATIONS

Equation (37)

DIFERENTIAL AREA)(

4

22

SES DDZDA

Pr ZDAFR

NR

FRfr

)5.0(14000

)5.0(

P

dPEcb

Bdc 24.0

B

dcSenArcCang

𝐻𝑐 =∅𝐵

2 ∗ cos(𝑎𝑛𝑔 𝐶)−

𝑑

2− 𝐸𝑐𝑏

PDFmc es 4

5.0

Hcdc

FmcPcc

22dL Bet

𝐷𝑒𝑣 =5.1 ∗ 𝑇𝑣 ∗ 12

𝑆𝑎 ∗ 0.75

3

Equation (57)

CONTACT FORCE

Equation (54)

CONTACT PRESSURE KEY

Equation (55)

FORCE ON KEY

Equation (56)

KEY WIDTH

Equation (51)

STEM KEY LENGTH

Equation (52)

STEM KEY HEIGTH

Equation (53)

STEM KEY -BALL HEIGTH

PRODUCT ENGINEERING

EQUATIONS

Equation (50)

ESP. STEM KEY𝑒𝑐𝑣 =

𝐷𝑡𝑣

2

𝐿𝑐𝑣 = ( 𝐷𝑡𝑣)2−(𝑒𝑐𝑣)2

𝐻𝑐𝑣 = 0.75 ∗ 𝐸𝑐𝑏

𝐻𝑐𝑏 = 𝐿𝑐𝑣 − 𝐻𝑐𝑣

𝑃𝑐𝑘 =6 ∗ 𝑇𝑡𝑣

𝐻𝑐𝑣 ∗ (𝐿𝑐𝑣)2

𝐹𝑐𝑣 =2 ∗ 𝑇𝑡𝑣

𝐷𝑒𝑣

𝐴𝑐𝑣 =𝐷𝑒𝑣

4

𝐿𝑘 =𝐹𝑐𝑣

𝐴𝑐𝑣 ∗ 𝑆𝑐+ 𝐻𝐶