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Anonymous Poster

What is the difference between root area and tensile stress area.

04/10/2010 10:35 AM

can anybody tell, what is Differance between root area and tensile stress area for bolt. in ASME B 1.1 tensile stress area is given . can i use tensile stress area in bolted flange calculation as per ASME SEC8 DIV. 1 APPE. 2 , OR BS PD 5500. as i have noticed that tensile stress area is more than root area ( for 8 un).as per this flange will pass, but not with root area.

i m performing flange calculation for 2500#, DESIGN COND.- PRESS- 42.25 MPa at 38 deg. cel,and 42 MPa at temp- 110deg cel. flange material- astm A694 GR F52 , BOLT MATERIAL A193 B7, FLANGE SIZE 2". PLZ. GIVE ME SOLUTION ......................

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Guru

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#1

Re: What is the difference between root area and tensile stress area.

04/10/2010 12:24 PM

The value of the stress area was established, after series of tests, as the area of a straight beam breaking under same force as the bolt. It is a fictive equivalent dimension. With FEA capability it is possible to use exact thread dimensions but all values for computation in the standards are based on the stress area value.

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#2

Re: What is the difference between root area and tensile stress area.

04/10/2010 3:48 PM

Nick name is correct.

Here is a solution for metric and inch;

The effective cross-sectional area of the threaded rod that resists rod fracture is the tensile stress area. It has been observed during the testing of threaded rod that an unthreaded rod, having a diameter equal to the mean of the pitch diameter and the minor diameter has the same tensile strength as the threaded rod. This cross-sectional area called the tensile stress area is used for the purposes of calculating the tensile strength of the rod.

For metric series, the tensile stress area (for steel) = (PI/4)*(D-0.938194P)2

For inch series, the tensile stress area (for steel) = (PI/4)*[D-(0.9743/n)]2

where

D = nominal diameter, P = thread pitch, n = threads per inch, PI = 3.1416

Don't be confused with Root area - a more conservative stress area that is still widely used such as in ASME B31.1 code. Root area is based on the root diameter of the threads, and therefore its stress area is smaller than the tensile stress area. Root area is not based on experimental data. It is designed to introduce a factor of safety in thread strength calculations. The designer pruposely assumes a "root" stress area smaller than the "real" tensile stress area to be sure that the rod isn't overstressed in service.

For metric series, the root area = (PI/4)*(D-1.3P)2

For inch series, the root area = (PI/4)*[D-(1.3/n)]2

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ASTM A193

Scope

Originally approved in 1936, this specification is heavily utilized in petroleum and chemical construction applications. The ASTM standard covers alloy steel and stainless steel bolting materials for high temperature service. This specification includes fasteners intended for use in pressure vessels, valves, flanges, and fittings. Although, this material is often available in national coarse (UNC) thread pitches, if being used in traditional applications, threads are specified 8 threads per inch (tpi) for diameters above one inch.

Below is a basic summary of a few of the common grades. ASTM A193 covers a number of other standard specifications not covered in this description including B5, B6, and B16.

Grades

B7Alloy steel, AISI 4140/4142 quenched and tempered
B8Class 1 Stainless steel, AISI 304, carbide solution treated.
B8MClass 1 Stainless steel, AISI 316, carbide solution treated.
B8Class 2 Stainless steel, AISI 304, carbide solution treated, strain hardened
B8MClass 2 Stainless steel, AISI 316, carbide solution treated, strain hardened

Mechanical Properties

GradeSizeTensile ksi, minYield, ksi, minElong, %, minRA % min
B7Up to 2-1/21251051650
2-5/8 - 4115951650
4-1/8 - 7100751850
B8 Class 1All75303050
B8M Class 1All75303050
B8 Class 2Up to 3/41251001235
7/8 - 1115801535
1-1/8 - 1-1/4105652035
1-3/8 - 1-1/2100502845
B8M Class 2Up to 3/4110951545
7/8 - 1100802045
1-1/8 - 1-1/495652545
1-3/8 - 1-1/2905030 45

Hope this is a help to you

jhunter

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Anonymous Poster
#3
In reply to #2

Re: What is the difference between root area and tensile stress area.

04/11/2010 10:16 AM

so if i use tensile stress area for flange calculation,that means i m not considering the factore of safety. if i use root area , flange will fail but not with the case of tensile stress area.is that means ,flange is acceptable ?

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#4
In reply to #3

Re: What is the difference between root area and tensile stress area.

04/11/2010 7:22 PM

Root area is based on the root diameter of the threads, and therefore its stress area is smaller than the tensile stress area. Root area is not based on experimental data. It is designed to introduce a factor of safety in thread strength calculations. The designer pruposely assumes a "root" stress area smaller than the "real" tensile stress area to be sure that the rod isn't overstressed in service.

Cheers,

jhunter

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Anonymous Poster #1
#6
In reply to #2

Re: What is the difference between root area and tensile stress area.

08/24/2017 11:26 PM

hello all
which formula can i used to get the value of thread height (H)?
Exmple
H=The height of the triangle on which the thread is based=0.866025 x p
where 0.866025 come from??
thanks

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#5

Re: What is the difference between root area and tensile stress area.

04/12/2010 8:32 AM

Looks like I'm late to this party. Oh well, better late than never...

You've noticed the discrepancy because the ASME calc doesn't use the actual tensile stress area.

Here some other formulas which are used in this regard:

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