Stress analysis according to ASME B31.3

1. Component data

Name	Value	Unit
Outer diameter of the run D_a		mm
Wall thickness of the run T		mm
In-plane stress intensification factor i_i
Out-plane stress intensification factor i_o
Wall thickness after reducer T₁		mm
Reducer wall thickness T₂		mm
Outer diameter of the branch d_a		mm
Wall thickness of the branch t		mm
Bend radius R₁		mm
Segment partition s		mm
Half break angle θ		deg
Extrusion thickness T_c		mm
Extrusion radius r_x		mm
Reinforcing thickness T_r		mm
Maximum mismatch δ_max		mm
Average mismatch δ_avg		mm
Tansition angle outside α		°
Tansition angle inside β		°
Design pressure p		bar
Maximum temperature of the component T_max		°C
Minimum temperature of the component T_min		°C
Material
Minimum tensile strength S_u		MPa
Casting quality factor E_c
Longitudinal weld quality factor E_j
Longitudinal weld creep strength factor W_L
Circumferential weld creep strength factor W_C
Young's modulus at operating temperature E_θ		MPa
Young's modulus at room temperature E₂₀		MPa
Action time of occasional loads (FDBR only)
Operating in creep range (FDBR only)
Equivalent number of full displacement cycles N
Material type

**2. Allowable stresses**
Name	ASME B31.3	ASME B31.1	FDBR	EN 13480	Unit
Allowable stress at maximum temperature S_h					MPa
Allowable stress at minimum temperature S_c					MPa

3. Forces and moments

Name		Weight	Wind	Earthquake	Thermal	Unit
Run	Longitudinal force Q					kN
	Bending moment in component plane M_i					kN·m
	Bending moment perp. to the comp. plane M_o					kN·m
	Torsion moment M_t					kN·m
Branch	Longitudinal force Q					kN
	Bending moment in component plane M_i					kN·m
	Bending moment perp. to the comp. plane M_o					kN·m
	Torsion moment M_t					kN·m

Attention!
The input data are out of scope! The results are for information only.

1. Run

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

2. Branch

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

Attention!
The input data are out of scope! The results are for information only.

1. Run

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

2. Branch

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

Attention!
The input data are out of scope! The results are for information only.

1. Run

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

2. Branch

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

Attention!
The input data are out of scope! The results are for information only.

1. Run

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

2. Branch

Name	Stresses MPa	Allowable stresses MPa	Efficiency	Maximum pressure bar
Longitudinal stresses due to sustained loads
Longitudinal stresses due to sustained and occasional loads
– with wind loads
– with earthquake loads
Stresses due to thermal expansion (simplified)
Stresses due to thermal expansion (complete)
Conditions for the creep range
Circumferential stresses due to inside pressure (calculated for a straight pipe)
Maximum permissible pressure (minimum value)

Analysis of longitudinal stresses for pressure piping / process piping