Total Metal Deposited in Weld given Total Transverse Shrinkage Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
w = w0*(10^((St-S0)/b))
This formula uses 5 Variables
Variables Used
Total Weight of Weld Metal Deposited - (Measured in Kilogram) - Total Weight of Weld Metal Deposited is the amount of metal deposited during welding.
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 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 transverse shrinkage in the first pass of 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
Weld Metal Deposited in First Pass: 4.99 Gram --> 0.00499 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
w = w0*(10^((St-S0)/b)) --> 0.00499*(10^((0.0053-0.0022)/0.24))
Evaluating ... ...
w = 0.00514064024956108
STEP 3: Convert Result to Output's Unit
0.00514064024956108 Kilogram -->5.14064024956108 Gram (Check conversion here)
FINAL ANSWER
5.14064024956108 5.14064 Gram <-- Total Weight of Weld Metal Deposited
(Calculation completed in 00.004 seconds)

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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 = (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))+(1.27*Root Opening)
Cross-sectional area of weld for given transverse shrinkage in butt joints
Go Cross‑Sectional Area of Weld = (Plate Thickness*(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))/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

Total Metal Deposited in Weld given Total Transverse Shrinkage Formula

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))
w = w0*(10^((St-S0)/b))

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 Total Metal Deposited in Weld given Total Transverse Shrinkage?

Total Metal Deposited in Weld given Total Transverse Shrinkage calculator uses 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)) to calculate the Total Weight of Weld Metal Deposited, The Total Metal Deposited in Weld given Total Transverse Shrinkage formula is defined as the metal deposited in the weld area. Total Weight of Weld Metal Deposited is denoted by w symbol.

How to calculate Total Metal Deposited in Weld given Total Transverse Shrinkage using this online calculator? To use this online calculator for Total Metal Deposited in Weld given Total Transverse Shrinkage, enter Weld Metal Deposited in First Pass (w0), Total Transverse Shrinkage (St), Transverse Shrinkage in First Pass (S0) & Constant for Multi-Pass Shrinkage (b) and hit the calculate button. Here is how the Total Metal Deposited in Weld given Total Transverse Shrinkage calculation can be explained with given input values -> 5140.64 = 0.00499*(10^((0.0053-0.0022)/0.24)).

FAQ

What is Total Metal Deposited in Weld given Total Transverse Shrinkage?
The Total Metal Deposited in Weld given Total Transverse Shrinkage formula is defined as the metal deposited in the weld area and is represented as w = w0*(10^((St-S0)/b)) or 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)). Weld Metal Deposited in First Pass is just metal deposited in single pass of welding, Total Transverse shrinkage is the amount by which weldment shrinks due to multiple passes, Transverse Shrinkage in First Pass is transverse shrinkage in the first pass of welding & Constant for Multi-Pass Shrinkage is used for calculating total transverse shrinkage due to multi-pass welding.
How to calculate Total Metal Deposited in Weld given Total Transverse Shrinkage?
The Total Metal Deposited in Weld given Total Transverse Shrinkage formula is defined as the metal deposited in the weld area is calculated using 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)). To calculate Total Metal Deposited in Weld given Total Transverse Shrinkage, you need Weld Metal Deposited in First Pass (w0), Total Transverse Shrinkage (St), Transverse Shrinkage in First Pass (S0) & Constant for Multi-Pass Shrinkage (b). With our tool, you need to enter the respective value for Weld Metal Deposited in First Pass, 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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