Summary:
FEA is performed for the
desander pressure vessel of the 10 Mpa pressure rating. Other loads including
dead weight, fluid weight, nozzle loads are considered in these calculations.
Membrane stress, bending stress, and membrane plus bending stresses are
calculated at the critical locations, and compared with acceptable criteria as
per ASME Section VIII, Division 2, Part 5.2.1.1. From the FEA analysis, it was
observed that high stresses at the nozzle
and shell interfaces are higher than the allowable stresses of the material.
Hence, fatigue analysis is performed to determine adequate life. The total
stress intensity range and cumulative fatigue usage factor are investigated to
determine the adequacy of the design as per
ASME Sec.VIII, DIV.2.
Scope:
The aim of this analysis is to
find fatigue life at the critical locations as per ASME Sec.VIII and Div.2
Methodology:
The finite element analysis
is made based on the thickness and dimensions indicated in the fabricated
drawings. The full corrosion allowance is considered in the FEA. According to
design data, for cyclic Pressure Service of 0 MPa to 10 MPa, design number of
cycles is < 4000.
As per ASME Sec. VIII Div. 2 , Annex 3-F.1.2, following formulae are specified to calculate the "design number of design cycles" (N),
·
N=Number
of the allowable design cycle
·
X=Exponent
used to compute the permissible number of cycles
·
ET =
modulus of elasticity of the material under evaluation at the average temperature of the cycle being evaluated.
·
Cus =
conversion factor, 1.0 for ksi & 6.894757 for MPa stress units
·
EFC =
modulus of elasticity used to establish the design fatigue curve
·
Salt=
Alternative equivalent stress from smooth bar curve for carbon steel for
desired design cycles. It depends on fatigue strength reduction factor, fatigue
penalty factor, poison correction factor, local thermal equivalent stress and
Range of primary plus secondary plus peak equivalent stress.
·
The
coefficients C1, C2... are Coefficient of fatigue curves (ASME Section VIII,
Division 2, Part3).
The fatigue damage is
calculated using the below equation,
Nk is the required design
cycle. And Nk is the design number of design cycles.
Fatigue calculations
carried out at critical locations including; Through Shell & Saddle, Shell
to Nozzle , Ellipsoid to Nozzle Pipes, Ellipsoidal head to Boot Junction, Shell
to Boot Junction, Shell to Boot Pad Junction, nozzles to transition, and shell
to transition. From the fatigue calculations, it is concluded that all
evaluation points for fatigue are within allowable limits specified by code.