Root Opening given Transverse Shrinkage Calculator

✖Transverse Shrinkage of Butt Joint is a shrinkage of the metal result of contraction of the base metal.ⓘ Transverse Shrinkage of Butt Joint [S_b]			+10% -10%
✖Cross‑sectional Area of Weld is the area of region where welding is being done.ⓘ Cross‑Sectional Area of Weld [A_w]			+10% -10%
✖Plate Thickness in butt joint is the distance through the bearing plate.ⓘ Plate Thickness in Butt joint [p_tb]			+10% -10%

✖Root Opening is defined as the point at which the two pieces to be joined by welding is nearest.ⓘ Root Opening given Transverse Shrinkage [d]

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Formula

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Root Opening given Transverse Shrinkage

Formula

`"d" = ("S"_{"b"}-5.08*("A"_{"w"}/"p"_{"tb"}))/1.27`

Example

`"0.26mm"=("0.365mm"-5.08*("5.5mm²"/"802.87mm"))/1.27`

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Root Opening given Transverse Shrinkage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27
d = (S_b-5.08*(A_w/p_tb))/1.27
This formula uses 4 Variables

Variables Used

Root Opening - (Measured in Meter) - Root Opening is defined as the point at which the two pieces to be joined by welding is nearest.
Transverse Shrinkage of Butt Joint - (Measured in Meter) - Transverse Shrinkage of Butt Joint is a shrinkage of the metal result of contraction of the base metal.
Cross‑Sectional Area of Weld - (Measured in Square Meter) - Cross‑sectional Area of Weld is the area of region where welding is being done.
Plate Thickness in Butt joint - (Measured in Meter) - Plate Thickness in butt joint is the distance through the bearing plate.

STEP 1: Convert Input(s) to Base Unit

Transverse Shrinkage of Butt Joint: 0.365 Millimeter --> 0.000365 Meter (Check conversion here)
Cross‑Sectional Area of Weld: 5.5 Square Millimeter --> 5.5E-06 Square Meter (Check conversion here)
Plate Thickness in Butt joint: 802.87 Millimeter --> 0.80287 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (S_b-5.08*(A_w/p_tb))/1.27 --> (0.000365-5.08*(5.5E-06/0.80287))/1.27

Evaluating ... ...

d = 0.000259999878389035

STEP 3: Convert Result to Output's Unit

0.000259999878389035 Meter -->0.259999878389035 Millimeter (Check conversion here)

FINAL ANSWER

0.259999878389035 ≈ 0.26 Millimeter <-- Root Opening

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Welding » Distortion in Weldments » Transverse Shrinkage in Joints » Butt Joints » Root Opening given Transverse Shrinkage

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 14 Butt Joints Calculators

Total transverse shrinkage during multi-pass welding of butt joint

Go Total Transverse Shrinkage = Transverse Shrinkage in First Pass+Constant for Multi-Pass Shrinkage*(log10(Total Weight of Weld Metal Deposited/Weld Metal Deposited in First Pass))

Transverse Shrinkage in First Pass given Total Shrinkage

Go Transverse Shrinkage in First Pass = Total Transverse Shrinkage-Constant for Multi-Pass Shrinkage*(log10(Total Weight of Weld Metal Deposited/Weld Metal Deposited in First Pass))

Metal Deposited in First Pass of Welding given Transverse Shrinkage

Go Weld Metal Deposited in First Pass = Total Weight of Weld Metal Deposited/(10^((Total Transverse Shrinkage-Transverse Shrinkage in First Pass)/Constant for Multi-Pass Shrinkage))

Total Metal Deposited in Weld given Total Transverse Shrinkage

Go Total Weight of Weld Metal Deposited = Weld Metal Deposited in First Pass*(10^((Total Transverse Shrinkage-Transverse Shrinkage in First Pass)/Constant for Multi-Pass Shrinkage))

Plate thickness for given transverse shrinkage in butt joints

Go Plate Thickness in Butt joint = (5.08*Cross‑Sectional Area of Weld)/(Transverse Shrinkage of Butt Joint-(1.27*Root Opening))

Transverse Shrinkage in Butt Joints

Go Transverse Shrinkage of Butt Joint = (5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))+(1.27*Root Opening)

Cross-sectional area of weld for given transverse shrinkage in butt joints

Go Cross‑Sectional Area of Weld = (Plate Thickness in Butt joint*(Transverse Shrinkage of Butt Joint-1.27*Root Opening))/5.08

Root Opening given Transverse Shrinkage

Go Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27

Degree of restraint (Butt joints)

Go Degree of Restraint = ((1000/86)*((Transverse Shrinkage of Unrestrained Joint/Transverse Shrinkage of Restrained Joint)-1))^(1/0.87)

Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint

Go Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage of Restrained Joint*(1+0.086*Degree of Restraint^0.87)

Transverse shrinkage of restrained joint

Go Transverse Shrinkage of Restrained Joint = Transverse Shrinkage of Unrestrained Joint/(1+0.086*Degree of Restraint^0.87)

Depth of first V-groove for minimum distortion of Butt joint

Go Depth of the First V‑Groove = (0.62*Depth of the Last V‑groove+0.12*Depth of Root Face)/0.38

Depth of last V-groove for minimum distortion of Butt joint

Go Depth of the Last V‑groove = (0.38*Depth of the First V‑Groove-0.12*Depth of Root Face)/0.62

Depth of root face for minimum distortion of Butt joint

Go Depth of Root Face = (0.38*Depth of the First V‑Groove-0.62*Depth of the Last V‑groove)/0.12

Root Opening given Transverse Shrinkage Formula

Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27
d = (S_b-5.08*(A_w/p_tb))/1.27

What is called Distortion in welding terms ?

One of the major problems found with weldments is the distortion. Distortion is caused mainly because of the shrinkage that take place in weldments. The shrinkage taking place in a weldment depends upon the geometry and type of the weld. There are three types of distortions possible in weldments.

(a) Transverse shrinkage occurring perpendicular to the weld line.
(b) Longitudinal shrinkage occurring parallel to the weld line, which is very small of the order of about 0.1% of the weld length and hence can be neglected.
(c) Angular change as a rotation about the weld line.

How to Calculate Root Opening given Transverse Shrinkage?

Root Opening given Transverse Shrinkage calculator uses Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27 to calculate the Root Opening, The Root Opening given Transverse Shrinkage formula is defined as the distance at which the two pieces to be joined by welding is nearest. Root Opening is denoted by d symbol.

How to calculate Root Opening given Transverse Shrinkage using this online calculator? To use this online calculator for Root Opening given Transverse Shrinkage, enter Transverse Shrinkage of Butt Joint (S_b), Cross‑Sectional Area of Weld (A_w) & Plate Thickness in Butt joint (p_tb) and hit the calculate button. Here is how the Root Opening given Transverse Shrinkage calculation can be explained with given input values -> 259.9702 = (0.000365-5.08*(5.5E-06/0.80287))/1.27.

FAQ

What is Root Opening given Transverse Shrinkage?

The Root Opening given Transverse Shrinkage formula is defined as the distance at which the two pieces to be joined by welding is nearest and is represented as d = (S_b-5.08*(A_w/p_tb))/1.27 or Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27. Transverse Shrinkage of Butt Joint is a shrinkage of the metal result of contraction of the base metal, Cross‑sectional Area of Weld is the area of region where welding is being done & Plate Thickness in butt joint is the distance through the bearing plate.

How to calculate Root Opening given Transverse Shrinkage?

The Root Opening given Transverse Shrinkage formula is defined as the distance at which the two pieces to be joined by welding is nearest is calculated using Root Opening = (Transverse Shrinkage of Butt Joint-5.08*(Cross‑Sectional Area of Weld/Plate Thickness in Butt joint))/1.27. To calculate Root Opening given Transverse Shrinkage, you need Transverse Shrinkage of Butt Joint (S_b), Cross‑Sectional Area of Weld (A_w) & Plate Thickness in Butt joint (p_tb). With our tool, you need to enter the respective value for Transverse Shrinkage of Butt Joint, Cross‑Sectional Area of Weld & Plate Thickness in Butt joint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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