Piping Thermal Expansion & Guided Cantilever Calculator
Compute total pipe thermal elongation (ΔL) and size minimum flexible perpendicular leg length to absorb expansion within allowable displacement stress range.
Pipe Geometry & Thermal Run
8" NPS = 8.625", 6" = 6.625"
ASME B31.3 S_A = f*(1.25*Sc + 0.25*Sh)
Carbon steel at 450°F ≈ 27.9 Mpsi
Calculated Flexibility & Leg Sizing
Total Thermal Growth (ΔL):
—
Min Flexible Leg Length (L_leg):
—
Thermal Expansion Rate (in/100ft):
—
Expansion Loop Width (if U-loop):
—
ASME B31.3 Compliance:
—
Guided Cantilever Anchor Force:
—
Recommended Tools & Equipment
Tested hardware and components for high reliability
100% Free Tool
Zero Sign-Up
ASME B31.3 Guided Cantilever Flexibility Method
When hot process piping expands against fixed anchors, thermal displacement generates secondary bending moments and shear forces. The classical guided cantilever method calculates the minimum length of an elbow leg required to absorb axial expansion within the allowable displacement stress range $S_A$.
Guided Cantilever Minimum Leg Equation
L_leg = √[ (3 · E · D · ΔL) / S_A ]
Where $E$ is cold/hot elastic modulus, $D$ is outside pipe diameter, $Delta L$ is total axial expansion, and $S_A$ is the ASME B31.3 allowable displacement stress range.