Is the calculated span a maximum allowable support spacing?

No. It is the ideal span that produces the entered deflection in one simply supported Euler–Bernoulli model; stress,code,dynamics,thermal and real support checks remain separate.

Does this model a continuous multi-span pipe?

No. Continuous spans depend on span sequence, end conditions and support stiffness and cannot be replaced by a universal fixed-fixed coefficient.

Are DN/Schedule and material tables built in?

No. Enter actual controlled geometry,masses,density and temperature-dependent modulus.

What loads are included?

Only gravity from entered pipe,contained-fluid and added uniform mass per length using conventional standard gravity.

One ideal beam span — not a support-spacing code check

Simply Supported Pipe-Section Beam Arithmetic

Invert one documented uniform-load deflection target for an ideal pin–roller hollow circular beam,and report the associated bending stress and reactions.No continuous-span coefficient or allowable spacing is invented.

Actual geometryUniform load onlyNo maximum-span verdict

Actual outside diameter Do

Actual structural wall thickness t

Geometry/deflection unit

Documented target midspan deflection δ

Actual pipe linear mass

Linear-mass unit

Contained-fluid density (zero allowed)

Density unit

Added uniform linear mass (zero allowed)

Documented Young’s modulus E

Modulus unit

Geometry,mass,modulus,deflection and support-model source

The assessed member is idealized as one straight,prismatic,slender,small-deflection Euler–Bernoulli hollow circular beam with one pin and one roller,constant E and only uniform vertical gravity load.The entered wall is structural/effective;fluid fills the actual ID;added mass is uniform.Point loads,support stiffness/gaps,continuity,dynamics,thermal/seismic/wind/ice,pressure effects,local stresses,fatigue and code acceptance are checked separately.

Ideal span producing entered deflection

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Outer-fibre bending stress at that span

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Vertical reaction at each ideal support

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Second moment of area I

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Uniform mass / force per length

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Ideal simply supported uniform-load arithmetic only.

Di=Do−2t; I=π(Do⁴−Di⁴)/64; w=mtotal·gn; δmax=5wL⁴/(384EI)

Lδ=[384EIδtarget/(5w)]^1/4; Mmax=wLδ²/8; σouter=Mmax(Do/2)/I; R=wLδ/2

gn=9.80665m/s² is conventional standard gravity.The span is the mathematical inversion of one ideal service-load deflection equation.It is not labelled allowable or maximum support spacing.The displayed stress is elastic bending stress from this uniform gravity load only and is not compared with a material/code allowable.

No continuous-span shortcut

A continuous multi-span pipe is not universally fixed–fixed.End spans,interior spans,unequal lengths,support settlement/stiffness and piping continuity change moments and deflections.The former `1/384` continuous coefficient and generic longer-span result are therefore not used.

Current code scope

ASME B31.1-2024 covers power-piping design through operation/maintenance;ASME B31.3-2024 covers process-piping materials/components,design,fabrication,assembly,erection,examination,inspection and testing.The public records do not establish universal2.5mm deflection or DN-based support-spacing tables.

NEEDS_LICENSED_SOURCE: exact selected-code support/load/stress/deflection rules and any project spacing table.No ASME compliance or final support-layout decision is emitted.

Lähteet

Michigan State simply supported UDL moment/deflection example; University of Cincinnati Euler–Bernoulli scope; NIST conventional standard gravity; ASME B31.1-2024; ASME B31.3-2024.