Header image showing pressure vessels with color-coded stress analysis on connections and supports, set against a technical plant background.

Pressure vessel calculation for
enhanced safety under real-world loads

✓ Operating and test pressure
✓ Required wall thickness
✓ Documentation

Identify critical conditions before they affect design

Pressure vessels are among the safety-critical components in plant and equipment engineering. Internal pressure, temperature, external loads, and complex geometries place high demands on design and the verification process.

MDESIGN espresso allows you to calculate, evaluate, and document pressure vessels in accordance with AD 2000 and EN 13445 standards—from wall thickness calculations to a complete verification of the vessel components.

Applicable regulations and guidelines for pressure vessels

AD Policy

A.D. 2000

Non-fired pressure vessels

DIN EN 13445

EU Compliance

Directive 2014/68/EU

Establish standards, accelerate engineering

MDESIGN provides a consistent basis for calculations across the entire team. Structured data entry, centrally maintained calculation bases, and consistent documentation ensure that results remain traceable and comparable across projects.

For over 40 years, MDESIGN has been helping companies calculate and design technical components—today with more than 35,000 users worldwide.

MDESIGN Software Interface
40+ Years of engineering experience
35,000+ Users worldwide
Pressure Vessel Design

Precisely cetermining wall thickness and strength

The required material thickness is determined by the interplay of pressure, geometry, material, temperature, and safety factors. MDESIGN evaluates these factors for various vessel components and performs strength and stability analyses directly. This makes it clear early on which areas are critical, where there are material reserves, and where design improvements should be made.

Required wall thickness
Safety factors
Voltages and loads
Strength and stability analysis
Internal and external pressure
Operating and test pressure
Sleeves and cutouts
Reinforcements and local verification
Cylinders, shells, and bases
Temperature and load cases
AD 2000 · DIN EN 13445 · DGRL 2014/68/EU

Link container components directly to one another

A pressure vessel is not simply a shell. Bottoms, nozzles, cutouts, and reinforcements alter the stress distribution locally and must be designed to be compatible with the overall system.

This means that individual components cannot be viewed in isolation, but must be examined within their structural context. This facilitates coordination between the components and reduces the need for subsequent adjustments when geometries or connection areas change.

Cylinder
Floor
Nipple
Reinforcement
Excerpt

Compare operating and test pressures side by side

Installation, operation, and testing place different demands on the same design. Operating pressure, test pressure, temperature, external pressure, and additional loads can cause different areas to become the critical point of the design.

MDESIGN illustrates how normal operation, pressure testing, or a specific load case determines the design parameters. This allows designers to safely and precisely tailor the pressure vessel to meet the requirements.

Translate calculation results directly into design actions

Once the calculation is complete, all relevant results are available in a structured and transparent format.

In this way, the calculation not only supports validation but also aids in further design development—with fewer iterations and a more targeted use of materials and installation space.

Documentation and proof at the touch of a button

Automatically generate technical documentation.

All input data, standards, boundary conditions, results, and graphics are automatically compiled into a complete set of documentation. This results in transparent verification documentation for internal development, customers, testing organizations, or manufacture.

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PDF Proof
✓ Includes standards
PDF automatically
CI customizable
Seamless CAD Integration

STEP export directly from the calculation

Components are modeled, analyzed, and evaluated in MDESIGN. The validated results can then be exported directly as STEP files and transferred to CAD systems. This ensures that the entire development process remains consistent—without any data discontinuities or the need for manual geometry transfer.

MDESIGN Modeling
MDESIGN Modeling
Calculation
Calculation
Result
Result
STEP Export
STEP Export
Features of the MDESIGN pressure vessel calculation

Features of the MDESIGN pressure vessel calculation

The functions are organized by calculation principles, load data, basic elements, attached elements, cutouts, flanges, material data, and results.

  1. Calculation bases & standards

    Design standard, operating medium, pressure vessel orientation, and load data.

    • EN 13445
    • A.D. 2000
    • Directive 2014/68/EU
  2. Load data

    Operation and testing.

    Input values

    • Internal pressure
    • External pressure
    • Operating temperature
    • Internal test pressure
    • External test pressure
    • Test temperature

    Output values

    • Internal calculation pressure
    • Calculation temperature
    • Maximum allowable operating pressure
    • Maximum allowable test pressure
  3. Basic elements

    Cylinder shells, domed bottoms, and flat bottoms.

    Input values

    • Series of cylinder shells
    • Base diameter
    • Specifying the Volume
    • Cylinder shell
    • Klöpper bottom
    • Basket-arch floor
    • Hemispherical bottom
    • Flat floors
    • Outer diameter
    • Inner diameter
    • Nominal wall thickness
    • Length
    • Corrosion surcharge
    • Negative tolerance on the thickness of the component

    Output values

    • Required wall thickness
    • Calculated wall thickness
    • Existing voltage
    • Rated calculation voltage
    • Safety factor
    • Maximum allowable internal pressure
    • Maximum allowable external pressure
    • Internal volume
    • External volume
    • Mass
  4. Add-on components

    Fittings, washers, rings, and flange.

    Input values

    • Position
    • Nipple
    • Slice
    • Ring
    • Flange
    • Type
    • Standard
    • Series
    • Outer diameter
    • Inner diameter
    • Wall thickness
    • Length
    • Angle of inclination
    • Distance
    • Polar angle

    Output values

    • Nozzle geometry
    • Geometry of discs
    • Geometric rings
    • Assembly flange
    • Tolerances and deviations
    • Surcharges and deviations
    • Collision check
  5. Cutouts & reinforcements

    Cutting individual sections in the basic elements and inspecting the reinforcement.

    Input values

    • Individual ports on cylinders
    • Single outlets on arched floors
    • Opening with disc-shaped reinforcement
    • Opening with ring-shaped reinforcement
    • Bracing
    • Positioning
    • List of excerpts
    • Web Geometry

    Output values

    • Reinforcement area
    • Pressure-loaded surface
    • Maximum allowable internal pressure
    • Verification of the reinforcement between adjacent cutouts
    • Web test
    • Mutual Influence Between Clips
  6. Flange

    Type, sealing surface, seal type, and screw material.

    Input values

    • Type
    • Rated pressure
    • Nominal diameter
    • Sealing surface
    • Seal type
    • Seal material
    • Screw material
    • Screw type

    Output values

    • Screw force
    • Sealing force
    • Sealing surface pressure
    • Existing voltage installation
    • Actual operating stress
    • Check existing stress
    • Safety factor for flanges
    • Safety factor for screws
    • Safety factor against leakage
  7. Material data

    Material name, material number, material standard, and material properties.

    • Data source MDESIGN database
    • Material name
    • Material number
    • Material standard
    • Material type
    • Product form
    • Heat treatment
    • Group
    • Steel grade
    • Tensile strength
    • 0.2 % yield strength
    • Elongation at break
    • Modulus of elasticity
    • Density
    • Transverse contraction index
    • Temperature-dependent material properties
    • Custom material
  8. Results & analyses

    Raw container data, load data, basic elements, and add-on elements.

    • Total length
    • Total volume
    • Total weight
    • Internal calculation pressure
    • Calculation temperature
    • Required wall thickness
    • Existing voltage
    • Maximum allowable internal pressure
    • Maximum allowable external pressure
    • List of excerpts
    • Web test
    • Load factor
    • Leak-proof guaranteed
    • Strength guaranteed
    • Notes
    • Graphical visualization of the calculation results
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