Piping Elbows vs Bends for Piping and Plumbing Systems (PDF)

Piping Elbows and Bends are very important pipe fitting which is used very frequently for changing direction in the piping system. Piping Elbow and Piping bend are not the same, even though sometimes these two terms are interchangeably used.

What is a Piping Bend?

A PIPING BEND is simply a generic term in piping for an “offset” – a change in direction of the piping. It signifies that there is a “bend” i.e,  a change in direction of the piping (usually for some specific reason) – but it lacks a specific, engineering definition as to direction and degree. Bends are usually made by using a bending machine (hot bending and cold bending) on-site and suited for a specific need. The use of bends is economic as it reduces the number of expensive pipe fittings.

What is a Piping Elbow?

A PIPING ELBOW, on the other hand, is a specific, standard, engineered bend pre-fabricated as a spool piece  (based on ASME B16.9) and designed to either be screwed, flanged, or welded to the piping it is associated with. An elbow can be 45 degrees or 90 degrees. There can also be custom-designed elbows, although most are categorized as either “short radius” or long radius”.

In short “All bends are elbows but all elbows are not bend”

Types of Piping Elbows

Depending on various piping parameters, elbows can be classified as follows:

  • Piping elbow types based on direction angle
    • 45-degree elbow
    • 90-degree elbow
    • 180-degree elbow
  • Types of piping elbows depending on bend radius
    • Long radius elbow
    • Short radius elbow
  • Piping elbow types considering pipe end connections
    • Butt welded piping elbow
    • Socket welded piping elbow
    • Threaded piping elbow
    • Flanged elbow

Refer to Fig. 1 shows various types of piping elbows

Types of piping elbows
Fig. 1: Types of piping elbows

Features of Piping Elbow

Whenever the term elbow is used, it must also carry the qualifiers of type (45 or 90 degrees) and radius (short or long) – besides the nominal size.

Elbows can change direction to any angle as per requirement. An elbow angle can be defined as the angle by which the flow direction deviates from its original flowing direction (See Fig. 2 below). Even though An elbow angle can be anything greater than 0 but less or equal to 90° But still a change in direction greater than 90° at a single point is not desirable. Normally, a 45° and a 90° elbow combinedly are used while making piping layouts for such situations.

piping elbow
Fig. 2: A Typical Piping Elbow with Elbow Angle (phi)

Calculating Elbow Angle

Elbow angle can be easily calculated using a simple geometrical technique of mathematics. Let’s give an example to you.

Refer to Fig. 3. Pipe direction changes at point A with the help of an elbow and again the direction is changing at point G using another elbow.

Elbow angle calculation
Fig. 3 Example figure for elbow angle calculation

In order to find out the elbow angle at A, it is necessary to consider a plane that contains the arms of the elbow. If there had been no change in direction at point A, the pipe would have moved along line AD but the pipe is moving along line AG. Plane AFGD contains lines AD and AG and the elbow angle (phi) is marked which denotes the angle by which the flow is deviating from its original direction. Considering right angle triangle AGD, tan(phi) = √( x2 + z2)/y Similarly elbow angle at G is given by: tan (phi1)=√ (y2 +z2)/x  

Elbow Radius | Bend Radius

Elbows or bends are available in various radii for a smooth change in direction which is expressed in terms of pipe nominal size expressed in inches. Elbows or bends are available in three radii,

a. Long radius elbows (Radius = 1.5D): used most frequently where there is a need to keep the frictional fluid pressure loss down to a minimum, there are ample space and volume to allow for a wider turn and generate less pressure drop.

b. Long radius elbows (Radius > 1.5D): Used sometimes for specific applications for transporting high viscous fluids like slurry, low polymer, etc. For radius, more than 1.5D pipe bends are usually used and these can be made to any radius. However, 3D & 5D pipe bends are the most commonly used. In the pipeline industry, a piping bend of up to 60D is quite common.

c. Short radius elbows (Radius = 1.0D): to be used only in locations where space does not permit the use of long radius elbows and there is a need to reduce the cost of elbows. In jacketed piping, the short radius elbow is used for the core pipe.  

Here, D is the nominal pipe size in inches.  

There are three major parameters that dictate the radius selection for the elbow. Space availability, cost, and pressure drop Pipe bends are preferred where pressure drop is of major consideration. The use of short-radius elbows should be avoided as far as possible due to abrupt changes in a direction causing the high-pressure drop.  

Minimum thickness requirement

Whether an elbow or bend is used the minimum thickness requirement from the code must be met. Code ASME B31.3 provides an equation for calculating the minimum thickness required (t) in finished form for a given internal design pressure (P) as shown below:

bend thickness
Fig. 4: Code Equation for Minimum Elbow Thickness Calculation


  • R1 = bend radius of welding elbow or pipe bend
  • D = outside diameter of the pipe
  • W = weld joint strength reduction factor
  • Y = coefficient from Code Table 304.1.1
  • S = stress value for material from Table A-1 at the maximum temperature
  • E = quality factor from Table A-1A or A-1B   Add any corrosion, erosion, or mechanical allowances with this calculated value to get the thickness required.

Elbow End Connections

For connecting the elbow/bend to the pipe, the following type of end connections are available

  • Butt-welded: Used along with large bore (>=2 inch) piping
  • Socket welded: Used along with pipe size
  • Screwed:
  • Flanged:

Butt-welded Elbows

  • The pipe is connected to butt welded elbow as shown in Fig. 5 by having a butt-welding joint.
  • Butt-welded fittings are supplied with bevel ends suitable for welding to the pipe. It is important to indicate the connected pipe thickness /schedule while ordering. All edge preparations for butt welding should conform to ASME B16.25.
  • Dimensions of butt welded elbows are as per ASME B16.9. This standard is applicable for carbon steel & alloy steel butt weld fittings of NPS 1/2” through 48”.
piping bend
Fig. 5: A typical Butt-Welded Elbow

Dimensions of stainless steel butt welded fittings are as per MSS-SP-43. Physical dimensions for fittings are identical under ASME B16.9 and MSS-SP-43. It is implied that the scope of ASME B16.9 deals primarily with the wall thicknesses which are common to carbon and low alloy steel piping, whereas MSS-SP-43 deals specifically with schedule 5S & 10S in stainless steel piping.

Dimensions for short radius elbows are as per ASME B16.28 in the case of carbon steel & low alloy steel and MSS-SP-59 for stainless steel.

Butt-welded fittings are usually used for sizes 2” & above. However, for smaller sizes up to 1-1/2” on critical lines where the use of socket welded joints is prohibited, pipe bends are normally used. These bends are usually of a 5D radius and made at the site by cold bending of the pipe.

Alternatively, butt welded elbows can be used in lieu of pipe bends but usually smaller dia lines are field routed and it is not possible to have the requirement known at the initial stage of the project for procurement purposes. So pipe bends are preferred. However, pipe bends do occupy more space and particularly in pharmaceutical plants where a major portion of piping is of small diameter and the layout is congested, butt welded elbows are preferred.

Butt-welded joints can be radiographed and hence preferred for all critical services.

ASME B31.3 allows the application of miter bends subject to meeting its pressure requirements.

Material standards as applicable to butt welded fittings are as follows:


This specification covers wrought carbon steel & alloy steel fittings of seamless and welded construction. Unless seamless or welded construction is specified in the order, either may be furnished at the option of the supplier. All welded construction fittings as per this standard are supplied with 100% radiography. Under ASTM A234, several grades are available depending on chemical composition. Selection would depend upon the pipe material connected to these fittings. Some of the grades available under this specification and corresponding connected pipe material specifications are listed below:  


This specification covers two general classes, WP & CR, of wrought austenitic stainless steel fittings of seamless and welded construction. Class WP fittings are manufactured to the requirements of ASME B16.9 & ASME B16.28 and are subdivided into three subclasses as follows:

  • WP-S-Manufactured from a seamless product by a seamless method of manufacture.
  • WP – W These fittings contain welds and all welds made by the fitting manufacturer including starting pipe weld if the pipe was welded with the addition of filler material are radiographed. However, no radiography is done for the starting pipe weld if the pipe was welded without the addition of filler material.
  • WP-WX These fittings contain welds and all welds whether made by the fitting manufacturer or by the starting material manufacturer are radiographed.

Class CR fittings are manufactured to the requirements of MSS-SP-43 and do not require non-destructive examination. Under ASTM A403 several grades are available depending on chemical composition. Selection would depend upon the pipe material connected to these fittings. Some of the grades available under this specification and corresponding connected pipe material specifications are listed below:


  • This specification covers wrought carbon steel and alloy steel fittings of seamless & welded construction intended for use at low temperatures. It covers four grades WPL6, WPL9, WPL3 & WPL8 depending upon chemical composition. Fittings WPL6 are impact tested at temp – 50° C, WPL9 at -75° C, WPL3 at -100° C and WPL8 at -195° C temperature.
  • The allowable pressure ratings for fittings may be calculated for straight seamless pipe in accordance with the rules established in the applicable section of ASME B31.3.
  • The pipe wall thickness and material type shall be that with which the fittings have been ordered to be used, their identity on the fittings is in lieu of pressure rating markings.

Few more Resources for you…

Piping Elbow or Bend SIF (Stress Intensification Factor)
Consideration of Flanged Bend while modeling in Caesar II
Piping Design and Layout Basics
Piping Materials Basics
Piping Stress Analysis Basics
Piping Interface Basics

Print Friendly, PDF & Email

Anup Kumar Dey

I am a Mechanical Engineer turned into a Piping Engineer. Currently, I work in a reputed MNC as a Senior Piping Stress Engineer. I am very much passionate about blogging and always tried to do unique things. This website is my first venture into the world of blogging with the aim of connecting with other piping engineers around the world.

19 thoughts on “Piping Elbows vs Bends for Piping and Plumbing Systems (PDF)

  1. In short “All bends are elbows but all elbows are not bend”… following the previous description maybe it s exactly the opposite? “All elbows are bend, but all bends are not elbows”.

    Ciao! and congrats for your job well done anyway 🙂

    1. Dear,

      WPB means Wrought Product Grade B and WPC means Wrought Product Grade C. Wrought Products are those which are drawn from Pipe.

  2. I really appreciate you giving insights to the difference and similarities to a pipe bend and elbow. It’s interesting to the see the process that are behind the bending of pipes in these different ways. I guess it really all depends on what they are being used for and what the engineer is trying to do.

  3. Hi
    May i know how can i indpect a bended pipe or elbow?i mean it needs some special test like pt or mt?pleae lintriduce some standard document about it thanks alot

  4. Hallo, Thank you so much for your Helpful Information.
    how I can calculate the Radius of Bending In Pipies :R1 from Asme Code B31.3
    Is there a Table or a general Formula to calculate this value ?

    Thanks In Advance

  5. Wow! A lot of information about piping elbows and bands is provided on your site and outdoor compressor units are most accurately mentioned. Your site provides very useful information. Thanks for giving this info!

  6. Dear Mr. DEY,
    please tell your experience with welding a bypass loop line into elbow of the main line and impacts of erosion corrosion on weld?
    Subrahmanya Bhat
    Freelance Consultant

  7. Good morning Mr. Dey,

    We have several piping spools to fabricate. One calls for two 90 deg. bends with a 15″ center to center dimension. Nominal pipe size is 6″. We would prefer long radius however given the c-c dimension, the only thing I can think of is to use one long radius and one short radius elbow. If my math is correct, one of each radius would come out to the right dimension. If we were to do this, in which orientation should the long and short elbows be? I do not believe pressure drop will be an issue as this is a transfer line between two tanks. Thanks for your insight.

    Regards, Mark

  8. I’m glad there are dimensions for short radius elbows with carbon steel and low allow steel. I need a part similar to this to fit perfectly in the prototype design of my project. If it works like I think it should, I’ll end up getting a bunch more of them.

  9. We are doing a a High pressure vessel as per B31.3 and have the following clarification,
    1. Can we use the Elbow thickness same as branch connection without calculating tmin as per the elbow equation.
    2. How to do weld strength calculation for branch nozzles fillet and groove welds.

Leave a Reply

Your email address will not be published. Required fields are marked *

Recent Posts