Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage of Restrained Joint*(1+0.086*Degree of Restraint^0.87)
S = Sres*(1+0.086*ks^0.87)
This formula uses 3 Variables
Variables Used
Transverse Shrinkage of Unrestrained Joint - (Measured in Meter) - Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint.
Transverse Shrinkage of Restrained Joint - (Measured in Meter) - Transverse Shrinkage of Restrained Joint is shrinkage produced when the mobility of the joint was restricted.
Degree of Restraint - Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage.
STEP 1: Convert Input(s) to Base Unit
Transverse Shrinkage of Restrained Joint: 4 Millimeter --> 0.004 Meter (Check conversion here)
Degree of Restraint: 650 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = Sres*(1+0.086*ks^0.87) --> 0.004*(1+0.086*650^0.87)
Evaluating ... ...
S = 0.100336987774987
STEP 3: Convert Result to Output's Unit
0.100336987774987 Meter -->100.336987774987 Millimeter (Check conversion here)
FINAL ANSWER
100.336987774987 100.337 Millimeter <-- Transverse Shrinkage of Unrestrained Joint
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
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

Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint Formula

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

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 Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint?

Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint calculator uses Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage of Restrained Joint*(1+0.086*Degree of Restraint^0.87) to calculate the Transverse Shrinkage of Unrestrained Joint, The Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint formula is defined as the shrinkage obtained when there is no resistance to the mobility of plates after welding. Transverse Shrinkage of Unrestrained Joint is denoted by S symbol.

How to calculate Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint using this online calculator? To use this online calculator for Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint, enter Transverse Shrinkage of Restrained Joint (Sres) & Degree of Restraint (ks) and hit the calculate button. Here is how the Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint calculation can be explained with given input values -> 100337 = 0.004*(1+0.086*650^0.87).

FAQ

What is Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint?
The Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint formula is defined as the shrinkage obtained when there is no resistance to the mobility of plates after welding and is represented as S = Sres*(1+0.086*ks^0.87) or Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage of Restrained Joint*(1+0.086*Degree of Restraint^0.87). Transverse Shrinkage of Restrained Joint is shrinkage produced when the mobility of the joint was restricted & Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage.
How to calculate Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint?
The Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint formula is defined as the shrinkage obtained when there is no resistance to the mobility of plates after welding is calculated using Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage of Restrained Joint*(1+0.086*Degree of Restraint^0.87). To calculate Shrinkage of unrestrained joint from given shrinkage of restrained Butt joint, you need Transverse Shrinkage of Restrained Joint (Sres) & Degree of Restraint (ks). With our tool, you need to enter the respective value for Transverse Shrinkage of Restrained Joint & Degree of Restraint 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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