Metal Deposited in First Pass of Welding given Transverse Shrinkage Calculator

✖Total Weight of Weld Metal Deposited is the amount of metal deposited during welding.ⓘ Total Weight of Weld Metal Deposited [w]			+10% -10%
✖Total Transverse shrinkage is the amount by which weldment shrinks due to multiple passes.ⓘ Total Transverse Shrinkage [S_t]			+10% -10%
✖Transverse Shrinkage in First Pass is the shrinkage occur on weld joint surface after the first welding.ⓘ Transverse Shrinkage in First Pass [S₀]			+10% -10%
✖Constant for Multi-Pass Shrinkage is used for calculating total transverse shrinkage due to multi-pass welding.ⓘ Constant for Multi-Pass Shrinkage [b]			+10% -10%

✖Weld Metal Deposited in First Pass is just metal deposited in single pass of welding.ⓘ Metal Deposited in First Pass of Welding given Transverse Shrinkage [w₀]

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Formula

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Metal Deposited in First Pass of Welding given Transverse Shrinkage

Formula

`"w"_{"0"} = "w"/(10^(("S"_{"t"}-"S"_{"0"})/"b"))`

Example

`"4.999085g"="5.15g"/(10^(("5.30mm"-"2.20mm")/"0.24"))`

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Metal Deposited in First Pass of Welding given Transverse Shrinkage Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
w₀ = w/(10^((S_t-S₀)/b))
This formula uses 5 Variables

Variables Used

Weld Metal Deposited in First Pass - (Measured in Kilogram) - Weld Metal Deposited in First Pass is just metal deposited in single pass of welding.
Total Weight of Weld Metal Deposited - (Measured in Kilogram) - Total Weight of Weld Metal Deposited is the amount of metal deposited during welding.
Total Transverse Shrinkage - (Measured in Meter) - Total Transverse shrinkage is the amount by which weldment shrinks due to multiple passes.
Transverse Shrinkage in First Pass - (Measured in Meter) - Transverse Shrinkage in First Pass is the shrinkage occur on weld joint surface after the first welding.
Constant for Multi-Pass Shrinkage - Constant for Multi-Pass Shrinkage is used for calculating total transverse shrinkage due to multi-pass welding.

STEP 1: Convert Input(s) to Base Unit

Total Weight of Weld Metal Deposited: 5.15 Gram --> 0.00515 Kilogram (Check conversion here)
Total Transverse Shrinkage: 5.3 Millimeter --> 0.0053 Meter (Check conversion here)
Transverse Shrinkage in First Pass: 2.2 Millimeter --> 0.0022 Meter (Check conversion here)
Constant for Multi-Pass Shrinkage: 0.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w₀ = w/(10^((S_t-S₀)/b)) --> 0.00515/(10^((0.0053-0.0022)/0.24))

Evaluating ... ...

w₀ = 0.00499908547426446

STEP 3: Convert Result to Output's Unit

0.00499908547426446 Kilogram -->4.99908547426446 Gram (Check conversion here)

FINAL ANSWER

4.99908547426446 ≈ 4.999085 Gram <-- Weld Metal Deposited in First Pass

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Welding » Distortion in Weldments » Transverse Shrinkage in Joints » Butt Joints » Metal Deposited in First Pass of Welding given Transverse Shrinkage

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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

Metal Deposited in First Pass of Welding given Transverse Shrinkage Formula

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 Metal Deposited in First Pass of Welding given Transverse Shrinkage?

Metal Deposited in First Pass of Welding given Transverse Shrinkage calculator uses 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)) to calculate the Weld Metal Deposited in First Pass, The Metal Deposited in First Pass of Welding given Transverse Shrinkage formula is defined as metal deposited in the weld area during a single pass of welding. Weld Metal Deposited in First Pass is denoted by w₀ symbol.

How to calculate Metal Deposited in First Pass of Welding given Transverse Shrinkage using this online calculator? To use this online calculator for Metal Deposited in First Pass of Welding given Transverse Shrinkage, enter Total Weight of Weld Metal Deposited (w), Total Transverse Shrinkage (S_t), Transverse Shrinkage in First Pass (S₀) & Constant for Multi-Pass Shrinkage (b) and hit the calculate button. Here is how the Metal Deposited in First Pass of Welding given Transverse Shrinkage calculation can be explained with given input values -> 4999.085 = 0.00515/(10^((0.0053-0.0022)/0.24)).

FAQ

What is Metal Deposited in First Pass of Welding given Transverse Shrinkage?

The Metal Deposited in First Pass of Welding given Transverse Shrinkage formula is defined as metal deposited in the weld area during a single pass of welding and is represented as w₀ = w/(10^((S_t-S₀)/b)) or 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 Weight of Weld Metal Deposited is the amount of metal deposited during welding, Total Transverse shrinkage is the amount by which weldment shrinks due to multiple passes, Transverse Shrinkage in First Pass is the shrinkage occur on weld joint surface after the first welding & Constant for Multi-Pass Shrinkage is used for calculating total transverse shrinkage due to multi-pass welding.

How to calculate Metal Deposited in First Pass of Welding given Transverse Shrinkage?

The Metal Deposited in First Pass of Welding given Transverse Shrinkage formula is defined as metal deposited in the weld area during a single pass of welding is calculated using 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)). To calculate Metal Deposited in First Pass of Welding given Transverse Shrinkage, you need Total Weight of Weld Metal Deposited (w), Total Transverse Shrinkage (S_t), Transverse Shrinkage in First Pass (S₀) & Constant for Multi-Pass Shrinkage (b). With our tool, you need to enter the respective value for Total Weight of Weld Metal Deposited, Total Transverse Shrinkage, Transverse Shrinkage in First Pass & Constant for Multi-Pass Shrinkage 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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