Dear Sir
We are GRP manufacturer. We are manufacturing the GRP pipes and fitting as well as we are doing full engineering of GRP pipes. When we are performing the stress analysis of any system we found some node allowable stress is not matching with as per ISO 14692. We have two query regarding this
1) The formula mentioned for calculating the allowable stress in ISO 14692 part 3 (Equation 19 to 22) is not matching with the formula mentioned in the Caesar quick guide .please clarify.
2) As per Caesar quick guide some where the allowable stress is matching and some where it is not matching.
As per example: I mention the two scenarios in 1st scenario it is matching where as 2nd scenario it is not matching in the same report.
Input for calculating the allowable stress and code stress
As per our test value
Failure envelope for plain pipe
σ al (0:1) = 25.69 M Pa, σ al (2:1) = 49.67 M Pa, σ al (1:1) = 49.67 M Pa
σ hl (2:1) = 99.34 M Pa, σ hl (1:1) = 49.67 M Pa
Failure envelope for joints and fitting
Qs = 99.340
Biaxial stress ratio (r) =1
A1, A2, A3= 1
Scenario 1:
As per the Caesar extended o/p report
Axial Stress = 27.92 MPa, Bending stress = 0.85 MPa,
Torsion Stress = 0.02 MPa, Hoop Stress = 56.40 MPa
As per the Caesar Quick guide
σ a, sum = ((σ ap+σ ab)^2+ 4ξ^2)^0.5
= 27.93 MPa.
= code stress
σ h, sum = ((σ h)^2+ 4ξ^2)^0.5
= 56.41 MPa.
Also as per Caesar Quick guide
σ h, sum <= f2 *A1 *A2 *A3 *σ hl (2:1)
σ h, sum=56.40<= 82.45
&
σ h, sum >= f2*A1*A2*A3* σ hl (1:1)
56.40>= 41.2261
So use
σ a, sum <= f2*A1*A2*A3* σ al(1:1) + (σ al(2:1)- σ al(1:1))*( σ h, sum – f2*A1*A2*A3* σ h(1:1)) / (σ hl (2:1) - σ hl (1:1) )
= 41.23 MPa
And same allowable stress has mentioned in the extended stress Report.
Where as Scenario 2:
As per the Caesar extended o/p report
Axial Stress = 13.58 MPa, Bending stress = 0.13 MPa,
Torsion Stress = 0.03 MPa, Hoop Stress = 56.40 MPa
As per the Caesar Quick guide
σ a, sum = ((σ ap+σ ab)^2+ 4ξ^2)^0.5
= 13.59 MPa.
= code stress
But as per Caesar extended o/p report
The code Stress = 56.40 MPa
σ a, sum <= f2*A1*A2*A3* σ al(1:1) + (σ al(2:1)- σ al(1:1))*( σ h, sum – f2*A1*A2*A3* σ h(1:1)) / (σ hl (2:1) - σ hl (1:1) )
= 41.23 MPa
= Allowable Stress
But as per Caesar extended o/p report
The Allowable Stress = 82.47 MPa
Please clarify.
Your positive and quick reply is highly appreciated.
Best Regards,
Prakash Kumar,
Piping Stress Engineer,