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Fatigue Calculation

User selection

Surface flaw

Embedded flaw

User input

Surface flaw

‘ai’ – flaw height for surface flaw and half height for embedded flaw in mm.

c’-Half flaw length in mm

‘p’-Shortest distance from material surface to embedded flaw in mm

D- Outer diameter of the pipe in mm

t- Thickness of the pipe in mm

Calculated parameters

B- Section thickness in plane of flaw (the remaining thickness not containing the flaw) in mm.

W- Circumference of the pipe in mm.2?r0

‘rm’ –mean radius in mm from mean of outer radius and inner radius

‘ro’-outer radius in mm from outer diameter of the pipe inputted by the user.

‘ri’- inner radius of the pipe in [url removed, login to view] radius - thickness

Constants

?- ?/2

Embedded flaw

‘a’-Half depth or height of flaw for embedded in mm

‘c’-Half flaw length in mm

‘p’-Shortest distance from material surface to embedded flaw in mm

D- Outer diameter of the pipe in mm

Calculated parameters

B’ – Effective thickness in mm B’ = 2a+2p

W- circumference of the pipe 2?r0

‘ro’-outer radius in mm from outer diameter of the pipe inputted by the user.

Constants

?- ?/2

Computation of Y

Y =M fw Mm

Mm – stress intensity magnification factor

fw – finite width correction factor

M – Bulging correction factor

Computation of fw

fw = [ sec( ?A1 / 2 A2 )]0.5

A2 = BW (for flaw)

A1 = 2ac (for surface flaw)

A1 = 4ac (for embedded flaw)

B- Thickness of the pipe in mm

W- Circumference of the pipe in mm.

Computation of M

M=(1-[a/(BM_T )])/(1-(a/B))

M_T=?{1+3.2(c^2/(2r_m B))}?^0.5

MT- Stress magnification factor

‘a’ – flaw height for surface flaw and half height for embedded flaw in mm.

B- Section thickness in plane of flaw (the remaining thickness not containing the flaw) in mm.

‘rm’ –mean radius in mm

W –circumference of the pipe

Computation of Mm

‘a’-Half depth or height of flaw for embedded in mm

‘c’-Half flaw length in mm

‘p’-Shortest distance from material surface to embedded flaw in mm

? - parametric angle to identify position along an elliptical flaw front in radians .Assumed to ?/2

B’ – Effective thickness in mm

W- Circumference of the pipe in mm

The following condition apply

0? a/2c?1.0

0 ? ?? ?

a/B < 1.25(a/c +0.6) for 0? a/2c?0.1

a/B< 1.0 for 0.1?a/2c?1.0

Mm = {M1+M2(a/B)2+M3(a/B)4}gf?/?

M1 = 1.1.3 – 0.09(a/c) For 0?a/2c?0.5

M1 = (c/a)0.5{1+0.04(c/a)} For 0.5?a/2c?1.0

M2 = [[url removed, login to view] {0.2+ (a/c)}][url removed, login to view] For 0?a/2c?0.5

M2 = 0.2(c/a)4 For 0.5<a/2c?1.0

M3 =0.5 -1/ {0.65 + (a/c)} + 14{1-(a/c)}24 For a/2c?0.5

M3 = [url removed, login to view](c/a)4 For 0.5<a/2c?1.0

g = 1+ {0.1 + 0.35(a/B)2}(1-sin?)2 For a/2c ? 0.5

g = 1+ {0.1 + 0.35(c/a)(a/B)2}(1-sin?)2 For 0.5<a/2c?1.0

f? = {(a/c)2 cos2? + sin2?}0.25 For 0?a/2c?0.5

f? = {(c/a)2 sin2? + cos2?}0.25 For 0.5<a/2c?1.0

? = {1+ 1.464(a/c)1.65}0.5 For 0?a/2c?0.5

? = {1+ 1.464(c/a)1.65}0.5 For 0.5<a/2c?1.0

Mm- Stress intensity magnification factor

‘a’ – crack depth in mm

‘c’ –half flaw length for surface or embedded crack in mm

B- Section thickness in plane of flaw

? - parametric angle to identify position along an elliptical flaw front in radians .Assumed to ?/2

For embedded Flaw

0? a/2c?1.0

2c/W< 0.5

-? ????

a/B’ < 0.625 (a/c+0.6) for 0? a/2c?0.1

B’ = 2a+2p

Hence equation for Mm is

Mm = {M1 + M2(2a/B’)2 +M3(2a/B’)4}gf?/?

? = {1+ 1.464(a/c)1.65}0.5 For 0?a/2c?0.5

? = {1+ 1.464(c/a)1.65}0.5 For 0.5<a/2c?1.0

M1 = 1 for 0?a/2c?0.5

M1 = (c/a)0.5 For 0.5<a/2c?1.0

M_2=(0.05)/(0.11+(?a/c)?^(1.5) )

M_3=(0.29)/(0.23+?(a/c)?^(1.5) )

g=1-[((2a/B^' )^4 {2.6-(4a/B^' )}^(0.5))/(1+4(a/c))]|cos?? |

f? = {(a/c)2 cos2? + sin2?}0.25 0?a/2c?0.5

f? = {(c/a)2 sin2? + cos2?}0.25 0.5<a/2c?1.0

‘a’-Half depth or height of flaw for embedded in mm

‘c’-Half flaw length in mm

‘p’-Shortest distance from material surface to embedded flaw in mm

? - parametric angle to identify position along an elliptical flaw front in radians .Assumed to ?/2

B’ – Effective thickness in mm

W- Circumference of the pipe in mm

Kỹ năng: Kiến trúc phần mềm, Visual Basic, Visual Basic cho Ứng dụng

Xem thêm: height and length, cos software, 5/y-5, fatigue calculation, a1, sin, sin cos, Rm, plane, Pipe, M3, m1, gf, Finite, fatigue, diameter, cos, architecture f, 504, calculation mean, crack software visual, material selection, guesswhoqa, height length width, crack visual basic software

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