API 650 · VDP · PV valve

Design and fabrication of
fixed roof tanks to API 650!

Design, calculation and fabrication to API 650 · Behineh Ab Engineering

The fixed roof tank is the most common atmospheric tank for storing water, chemicals and petroleum products with a low vapour pressure; the roof is permanently welded to the shell and does not move with the liquid level.

Fixed roof tank
Main use
Water and low-vapour-pressure liquids
Reference standard
API 650 · API 620 for higher pressure
Allowable design pressure
Up to about 2.5 psi (≈ 18 kPa)
Typical design temperature
Up to about 93 °C
Roof permanently welded to the shell (fixed)
Designed and built to API 650
Shell thickness by the variable-design-point (VDP) method
Pressure/vacuum relief valve (PV valve)
Design pressure up to about 2.5 psi (higher: API 620)
Full NDT + hydrostatic test

Fixed roof tank

Behineh Ab Engineering — design, calculation and fabrication to API 650

Among atmospheric tanks, the fixed roof tank is the most common type for storing water, chemicals and low-vapour-pressure petroleum products. The roof is permanently attached to the cylindrical shell and, unlike a floating roof, does not rise and fall with the liquid level.

Behineh Ab Engineering wrote this article to explain roof types, applications, breather valves, API 650 requirements, thickness calculation by the variable-design-point method and the fabrication process.

2. Definition and general principles of fixed roof tanks

Three-part structure

The bottom on the foundation, the shell courses welded with thickness decreasing from bottom to top, and the roof, which keeps out contamination and rain and prevents excessive evaporation. The standard internal design pressure must not exceed the weight of the roof plates and is generally up to about 2.5 psi (≈ 18 kPa); above that, API 620 applies.

2-1. Main components

Bottom: sketch plates and thicker annular plates. Shell: the courses. Roof: cone or dome. Top curb / compression ring at the roof-to-shell joint. Appurtenances: manhole, nozzles, stairway, inspection platform, breather valve and drains.

3. Types of fixed roof

3-1. Cone roof

The most common type; slope usually 1:16 to 3:4 (1:16 is most economical) for rain drainage. Self-supporting: carried only at its outer edge on the shell, by membrane action; suits small to medium diameters (≈ 18–20 m); fully open inside. Supported: rafters, rings/girders and a centre or internal columns for large diameters.

3-2. Dome and umbrella roofs

A dome is part of a sphere; an umbrella roof is made of flat polygonal segments. Usually self-supporting, with load carried mainly in compression in the shell; better pressure/vacuum capacity than a cone. Radius of curvature usually 0.8D to 1.2D. Higher fabrication cost.

3-3. Comparison of roof types
FeatureSelf-supporting coneColumn-supported coneDome/umbrella
Diameter rangeSmall to mediumMedium to largeSmall to medium
Internal structureNoneColumns and trussesUsually none
Relative costLowMediumHigh
Pressure/vacuum capacityLowLowHigher
Open internal spaceFullLimited by columnsFull
Roof drainageGoodGoodExcellent

4. Applications

4-1. Water storage

Drinking and industrial water, fire water, demineralised and cooling-tower water, and equalisation tanks in wastewater treatment plants.

4-2. Low-volatility liquids

Fuel oil, diesel, kerosene and lubricating oil. Chemicals and dilute acids/alkalis with suitable material or lining. Food and pharmaceutical solutions in stainless steel. Caustic soda and dilute methanol.

When is it not suitable?

For volatile liquids with a high vapour pressure (gasoline, light crude) a floating roof, or a fixed roof with an internal floating roof, is usually preferred because of evaporation losses and the environment.

5. Breather valve (PV valve)

5-1. Causes of breathing

Liquid movement (filling/emptying). Day/night thermal breathing. Emergency venting during an external fire, with a larger relief capacity.

5-2 and 5-3. Operation and related equipment

A disc with weight or spring for positive pressure and vacuum; usually set at a few inches of water column per API 2000. Free vents with insect screens for water. Flame arresters for flammable liquids. N₂ blanketing to prevent oxidation. A blocked or undersized valve is one of the most common causes of tank damage.

6. The API 650 standard

6-1. Scope

Vertical cylindrical above-ground tanks with a flat or gently coned bottom. Pressure close to atmospheric (up to ≈ 2.5 psi). Typical temperature up to about 93 °C (higher temperatures under special annexes).

6-2. Key annexes
AnnexSubject
Annex ASimplified design of small tanks
Annex ESeismic design
Annex FSmall internal pressure
Annex MElevated temperature
Annex VExternal vacuum load
Annex S/XStainless and duplex
6-3. Shell thickness methods

One-foot method: pressure 300 mm above the bottom of each course; up to about 61 m diameter. Variable-design-point: more accurate and economical for large diameters.

7. Shell thickness calculation (VDP method)

Basic SI relations for the design and hydrostatic test thickness of each course; the final result is the larger value, together with the standard minimum:

Design thickness
t_d = 4.9·D·(H−0.3)·G / S_d + CA
Test thickness
t_t = 4.9·D·(H−0.3) / S_t
VDP condition
L/H ≤ 1000/6
Example D=20 · H=12
t_d ≈ 8.7 mm → 9–10 mm
Parameters and minimum thickness

D diameter (m), H height from the bottom of the course to the top (m), G specific gravity, S_d/S_t allowable design/test stress (MPa), CA corrosion allowance. Nominal shell minimums: D<15 → 5 mm; 15–36 → 6; 36–60 → 8; D≥60 → 10 mm. The one-foot method applies up to about 61 m diameter; VDP is more economical for large-diameter tanks.

7. Details of the variable-design-point method

7-1 and 7-3. The VDP algorithm

Check L/H with L = (500·D·t)^0.5. Use the one-foot result for the first course as the starting value. Design-point location x = min(x₁, x₂, x₃) using the parameter C and K = t_L/t_u. Iterate to convergence; then the upper courses, allowing for the effect of the course below. Final choice max(t_d, t_t) plus the standard minimum, rounded up to commercial plate.

8. Other design considerations

Loads and coating

Wind, wind girder and anchors where needed. Seismic per Annex E and freeboard. Snow and roof vacuum. Uniform/uneven foundation settlement. Corrosion allowance, internal/external painting and cathodic protection of the bottom.

9. Fabrication process

9-1. Main stages

Design and MTO → ring-wall or sand/bitumen bed foundation → cutting, bevelling and rolling → bottom and annular plates → shell erection → roof and compression ring → appurtenances → NDT and hydrostatic test → painting, cathodic protection and handover.

9-2. Erection methods

Conventional: from the bottom course upwards with scaffolding. Jack-up: the top course and roof are built at ground level and raised with jacks; safer and faster for large tanks.

9-3. NDT tests
TestPurpose
VTAppearance of all welds
RTShell weld seams
PTSurface cracks
Vacuum boxTightness of bottom seams
Hydrostatic testFinal structure and tightness
Roof box / diesel testTightness of roof seams

Summary

The fixed roof tank is an economical, reliable option for storing water and low-volatility liquids. Choosing the roof type, designing thickness accurately by VDP, fitting the right breather valve, and building and inspecting to API 650 secure long-term life and safety.

Behineh Ab Engineering — design and fabrication of storage tanks and pressure vessels.

Technical specifications

Main use
Water and low-vapour-pressure liquids
Reference standard
API 650 · API 620 for higher pressure
Allowable design pressure
Up to about 2.5 psi (≈ 18 kPa)
Typical design temperature
Up to about 93 °C
Roof types
Self-supporting / column-supported cone · dome/umbrella
Key safety device
Pressure/vacuum relief valve

Main components and types of fixed roof

A fixed roof tank has three main parts: the bottom (sketch plates plus thicker annular plates that carry the stress at the bottom-to-shell joint), the shell (several steel courses whose thickness decreases from bottom to top, because hydrostatic pressure is greatest at the bottom) and the roof, which is attached to the top shell course.

Fixed roofs fall into two main groups by geometry and how they carry load: the cone roof, which can be self-supporting or rest on a structure of radial rafters, intermediate rings and one or more internal columns; and the dome or umbrella roof, which suits larger diameters and higher pressure/vacuum capacity but costs more to build.

Feature
Self-supporting cone
Column-supported cone
Dome / umbrella
Suitable diameter range
Small to medium
Medium to large
Small to medium
Internal structure
None
Columns and trusses
Usually none
Relative cost
Low
Medium
High
Pressure/vacuum capacity
Low
Low
Higher
Internal space
Fully open
Limited by columns
Full
Main components and types of fixed roof

Breather valves and vent safety equipment

Because the roof is fixed and does not move with the liquid level, changes in liquid volume or temperature make the vapour space above the liquid expand or contract. If that space cannot 'breathe', the tank bursts from overpressure or implodes from internal vacuum; the pressure/vacuum relief valve restores the pressure balance automatically.

Three main factors create the need to breathe: liquid movement (filling or emptying the tank), thermal breathing (vapour expanding and contracting with daily heating and cooling), and emergencies such as an external fire that sharply increases the evaporation rate. Other related equipment includes free vents, flame arresters (for flammable fluids) and inert-gas (N₂) blanketing to keep a neutral gas layer over the liquid.

When is a fixed roof not suitable?

For volatile liquids with a high vapour pressure, such as gasoline and light crude oil, significant evaporation losses and environmental concerns usually call for floating roof tanks or a fixed roof tank fitted with an internal floating roof. A plain fixed roof is not an economical option in these uses.

API 650 and its key annexes

API 650 (Welded Tanks for Oil Storage) is the main international reference for the design, fabrication, inspection and testing of welded atmospheric steel storage tanks, covering requirements for the bottom, shell, roof, connections, materials and welding. It applies to vertical cylindrical above-ground tanks with a design pressure close to atmospheric (up to about 2.5 psi for a standard fixed roof) and a design temperature usually up to about 93 °C.

Annex
Subject
Annex A
Simplified design of small tanks (basic thickness method)
Annex E
Seismic design of tanks
Annex F
Design for small internal pressures
Annex M
Design for elevated temperatures
Annex V
Design for external vacuum load
Annex S/X
Stainless and duplex steel tanks
API 650 and its key annexes

Shell thickness by the variable-design-point (VDP) method

API 650 gives two main methods for setting shell-course thickness: the one-foot method, which calculates each course's thickness from the hydrostatic pressure at a point 300 mm (1 ft) above the bottom of that course and is limited to tanks up to about 61 m in diameter; and the variable-design-point method, which is more accurate, gives a thinner and more economical shell, and is recommended for large-diameter tanks.

The method is permitted when L/H ≤ 1000/6. The design thickness and hydrostatic test thickness of each course are found from the relations below.

API 650 — VDP applicability condition

  • L=500⋅D⋅(D⋅t)0.5L = 500 \cdot D \cdot (D \cdot t)^{0.5}

API 650 — design thickness (VDP)

  • td=4.9⋅D⋅(H−0.3)⋅GSd+CAt_d = \dfrac{4.9 \cdot D \cdot (H - 0.3) \cdot G}{S_d} + CA

API 650 — hydrostatic test thickness

  • tt=4.9⋅D⋅(H−0.3)Stt_t = \dfrac{4.9 \cdot D \cdot (H - 0.3)}{S_t}
  • t_d ≈ 8.7 mm
Symbols
  • LCharacteristic length for checking the L/H condition (mm)
  • DNominal tank diameter (m)
  • tThickness of the course being checked (mm)
  • HDesign liquid height from the bottom of the course to the design level (m)
  • t_dDesign thickness of the course (mm)
  • t_tHydrostatic test thickness of the course (mm)
  • GSpecific gravity of the stored liquid relative to water
  • S_dAllowable design stress of the steel (MPa)
  • S_tAllowable hydrostatic test stress (MPa)
  • CACorrosion allowance (mm)

For example, for a water tank with D = 20 m, H = 12 m, G = 1, S_d = 160 MPa and CA = 1.5 mm, the design thickness of the bottom course comes to about 8.7 mm, rounded up to commercial plate of about 9 to 10 mm; on larger tanks the VDP method optimises this value compared with the one-foot method.

Calculating the shell thickness of a fixed-roof tank

Minimum shell thickness and the fabrication process

Whatever the calculation gives, no course may be thinner than the standard minimums (including corrosion allowance): 5 mm for diameters under 15 m, 6 mm for 15 to 36 m, 8 mm for 36 to 60 m and 10 mm for 60 m and above.

Building a fixed roof tank is a chain of steps: design and drawings with a material take-off, foundation preparation, cutting and bevelling the plates, laying the bottom and annular plates, erecting the shell (course by course or by jack-up), installing the roof and accessories, and finally inspection, non-destructive testing and the hydrostatic test before painting and final handover.

Test
Purpose
Visual inspection (VT)
Visual check of all welds
Radiography (RT)
Checking shell weld seams
Penetrant test (PT)
Finding surface cracks
Vacuum box
Tightness of bottom seams
Hydrostatic test
Final structural and tightness test
Minimum shell thickness and the fabrication process

Applications and industries

Drinking and industrial water tanks in treatment plants and municipal water facilities
Drinking and industrial water tanks in treatment plants and municipal water facilities
High-capacity fire-water storage tanks
High-capacity fire-water storage tanks
Demineralised and cooling-tower water tanks in power and petrochemical plants
Demineralised and cooling-tower water tanks in power and petrochemical plants
Heavy, low-vapour-pressure petroleum products such as fuel oil, diesel, kerosene and lubricating oil
Heavy, low-vapour-pressure petroleum products such as fuel oil, diesel, kerosene and lubricating oil
Chemicals and dilute acids and alkalis
Chemicals and dilute acids and alkalis (with suitable material or internal lining)
Process solutions and liquids in the food and pharmaceutical industries
Process solutions and liquids in the food and pharmaceutical industries

Frequently asked questions

Request a quote
Fixed roof tank

Enter the pressure, temperature and fluid; our engineers send a technical proposal and price within 24 working hours.

  • Written technical reply with a proposed concept drawing
  • Site visit in Tehran and surroundings
  • 24-month warranty on fabrication and welding
Call our engineering office
+98 21 4686 6276

Your details are confidential and used only to prepare a technical proposal.

All articles
  • Assembling the shell and head of a steel tank in the Behineh Ab tank fabrication workshop

    Steel Tank Manufacturing Steps, from Order to Delivery

    The steps of building a steel tank, from the data sheet to testing and dispatch. A 20,000-litre tank takes about three weeks; here is what that time is spent on.

    Read more
  • Inspector carrying out a non-destructive test on a steel tank shell weld

    Tank Tests: What Defect Does Each Test Find?

    Hydrotest, radiography, ultrasonic, liquid penetrant, magnetic particle and vacuum box. Each finds a particular defect and none can replace another. Here we compare them.

    Read more
  • Pressure vessel under hydrostatic test with a pressure gauge in the Behineh Ab workshop

    Tank Hydrostatic Test, Step by Step

    The hydrotest is a tank's final exam before delivery, and we carry it out in our own factory. The test pressure, the work before filling, and the mistake that can ruin a tank while it is being drained.

    Read more
  • Radiography film of a tank shell weld on a film viewer

    Weld Radiography: What Percentage of Seams Must Be Tested?

    The radiography percentage sets the joint efficiency, and the joint efficiency sets the plate thickness. In other words, this decision directly affects the tank's weight and price.

    Read more