Total transverse shrinkage during multi-pass welding of butt joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
St = S0+b*(log10(w/w0))
This formula uses 1 Functions, 5 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Transverse Shrinkage in First Pass: 2.2 Millimeter --> 0.0022 Meter (Check conversion here)
Constant for Multi-Pass Shrinkage: 0.24 --> No Conversion Required
Total Weight of Weld Metal Deposited: 5.15 Gram --> 0.00515 Kilogram (Check conversion here)
Weld Metal Deposited in First Pass: 4.99 Gram --> 0.00499 Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
St = S0+b*(log10(w/w0)) --> 0.0022+0.24*(log10(0.00515/0.00499))
Evaluating ... ...
St = 0.00548960402027227
STEP 3: Convert Result to Output's Unit
0.00548960402027227 Meter -->5.48960402027227 Millimeter (Check conversion here)
FINAL ANSWER
5.48960402027227 5.489604 Millimeter <-- Total Transverse Shrinkage
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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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 transverse shrinkage during multi-pass welding of butt joint Formula

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))
St = S0+b*(log10(w/w0))

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 transverse shrinkage during multi-pass welding of butt joint?

Total transverse shrinkage during multi-pass welding of butt joint calculator uses 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)) to calculate the Total Transverse Shrinkage, The Total transverse shrinkage during multi-pass welding of butt joint formula is defined as the shrinkage due to multiple passes of welding. Total Transverse Shrinkage is denoted by St symbol.

How to calculate Total transverse shrinkage during multi-pass welding of butt joint using this online calculator? To use this online calculator for Total transverse shrinkage during multi-pass welding of butt joint, enter Transverse Shrinkage in First Pass (S0), Constant for Multi-Pass Shrinkage (b), Total Weight of Weld Metal Deposited (w) & Weld Metal Deposited in First Pass (w0) and hit the calculate button. Here is how the Total transverse shrinkage during multi-pass welding of butt joint calculation can be explained with given input values -> 5489.604 = 0.0022+0.24*(log10(0.00515/0.00499)).

FAQ

What is Total transverse shrinkage during multi-pass welding of butt joint?
The Total transverse shrinkage during multi-pass welding of butt joint formula is defined as the shrinkage due to multiple passes of welding and is represented as St = S0+b*(log10(w/w0)) or 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 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, Total Weight of Weld Metal Deposited is the amount of metal deposited during welding & Weld Metal Deposited in First Pass is just metal deposited in single pass of welding.
How to calculate Total transverse shrinkage during multi-pass welding of butt joint?
The Total transverse shrinkage during multi-pass welding of butt joint formula is defined as the shrinkage due to multiple passes of welding is calculated using 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)). To calculate Total transverse shrinkage during multi-pass welding of butt joint, you need Transverse Shrinkage in First Pass (S0), Constant for Multi-Pass Shrinkage (b), Total Weight of Weld Metal Deposited (w) & Weld Metal Deposited in First Pass (w0). With our tool, you need to enter the respective value for Transverse Shrinkage in First Pass, Constant for Multi-Pass Shrinkage, Total Weight of Weld Metal Deposited & Weld Metal Deposited in First Pass 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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