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Section 3 / pressure and membrane structures

Pressure and Membrane Structures

Hoop stress, meridional stress, fabric loads, pressure-vessel checks, and envelope attachment load paths.

01

Aircraft fuselage stresses — hoop and longitudinal skin stress, window cutout concentration, and frame-bay deflection.

Fuselage von Mises stress contour
Open Aircraft Fuselage Stress analysis → 🔒 Passcode required — use site passcode
03

O-ring seal geometric and configuration analysis — groove, bore, and fill-percent sizing for a sealed pressure boundary.

O-ring groove cross-section diagram
Open O-Ring Seal Geometric analysis → 🔒 Passcode required — use site passcode
05

Thick-wall cylinder under internal and external pressure: Lamé stresses, von Mises margin, bore growth and first-yield pressure.

Thick cylinder cross-section with radial pressure arrows.
Open Thick-Wall Cylinder (Lamé) → 🔒 Login required
06

Seat contact load and pressure for a poppet or flat seal, sealing ratio, bearing margin and minimum spring preload.

A poppet pressed onto a narrow seat by a spring and pressure.
Open Poppet Seat Contact → 🔒 Login required
07

Wall stress, proof and burst margins and predicted burst pressure for a cylinder or sphere using the thick-wall solution.

A pressurized tube with hoop stress arrows.
Open Proof & Burst Pressure → 🔒 Login required
08

Deflection and maximum bending stress of a flat circular cover under uniform pressure, simply supported or clamped.

A flat circular cover bending under pressure.
Open Circular Cover Plate → 🔒 Login required
09

Hoop, radial and axial stress through a thick cylinder wall under internal and external pressure.

A thick-walled cylinder cross-section.
Open Thick Cylinder → 🔒 Login required
10

Hoop and axial stress, yield and burst pressure and required wall for a thin cylinder or sphere.

A thin cylindrical pressure vessel.
Open Thin-Wall Vessel → 🔒 Login required
11

Mass of gas, pressure after a temperature change and stored energy of an ideal gas in a rigid tank.

A gas storage tank.
Open Gas in a Tank → 🔒 Login required
14

Apex and equator membrane stress of an ellipsoidal or hemispherical pressure head, with margin.

A domed pressure vessel head.
Open Pressure Head Stress → 🔒 Login required
16

Subsonic and choked gas mass flow through an opening, with the critical pressure ratio.

Gas escaping through an opening in a vessel.
Open Choked Gas Flow → 🔒 Login required
17

Time to drain an open tank through a bottom orifice, with flow rates and level history.

A tank draining through a hole at the bottom.
Open Tank Drain Time → 🔒 Login required
19

Pressure drop in a pipe run from friction, fittings and height, with drop against flow.

A pipe run with bends and a valve.
Open Pipe Fitting Losses → 🔒 Login required
20

Wall thickness, mass and performance factor for a spherical or cylindrical pressure tank.

A cylindrical pressure tank with domed ends.
Open Pressure Tank Mass → 🔒 Login required
28

Flow, head and power of a pump or fan after a speed or diameter change.

A centrifugal impeller with speed arrows.
Open Affinity Laws → 🔒 Login required
29

Flow from a valve Cv and pressure drop, or the Cv a flow needs.

A valve in a pipe with flow through it.
Open Valve Cv Flow → 🔒 Login required
33

Flow over a rectangular or V-notch weir from the head over the crest.

Water flowing over a weir.
Open Weir Flow Rate → 🔒 Login required
40

Time to raise a tank to a target pressure with a steady free-air supply.

A tank being filled with compressed air.
Open Tank Fill Time → 🔒 Login required