Shrinkage of Unrestrained Joint from given Shrinkage of Restrained Butt Joint Calculator

✖Transverse Shrinkage is a shrinkage of the metal result of contraction of the base metal.ⓘ Transverse Shrinkage [s]			+10% -10%
✖Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage.ⓘ Degree of Restraint [k_s]			+10% -10%

✖Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint.ⓘ Shrinkage of Unrestrained Joint from given Shrinkage of Restrained Butt Joint [S]

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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*(1+0.086*Degree of Restraint^0.87)
S = s*(1+0.086*k_s^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 - (Measured in Meter) - Transverse Shrinkage is a shrinkage of the metal result of contraction of the base metal.
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: 4 Millimeter --> 0.004 Meter (Check conversion here)
Degree of Restraint: 647.3872 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = s*(1+0.086*k_s^0.87) --> 0.004*(1+0.086*647.3872^0.87)

Evaluating ... ...

S = 0.0999999964229827

STEP 3: Convert Result to Output's Unit

0.0999999964229827 Meter -->99.9999964229827 Millimeter (Check conversion here)

FINAL ANSWER

99.9999964229827 ≈ 100 Millimeter <-- Transverse Shrinkage of Unrestrained Joint

(Calculation completed in 00.020 seconds)

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Home » Engineering » Production Engineering » Welding » Distortion in Weldments » Transverse Shrinkage in Joints » Butt Joints » Shrinkage of Unrestrained Joint from given Shrinkage of Restrained Butt Joint

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

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< Butt Joints Calculators

Total Transverse Shrinkage during Multi-Pass Welding of Butt Joint

LaTeX 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))

Plate Thickness for given Transverse Shrinkage in Butt Joints

LaTeX 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

LaTeX 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

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

Shrinkage of Unrestrained Joint from given Shrinkage of Restrained Butt Joint Formula

LaTeX Go

Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage*(1+0.086*Degree of Restraint^0.87)
S = s*(1+0.086*k_s^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*(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 (s) & Degree of Restraint (k_s) 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 -> 100000 = 0.004*(1+0.086*647.3872^0.87).

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 = s*(1+0.086*k_s^0.87) or Transverse Shrinkage of Unrestrained Joint = Transverse Shrinkage*(1+0.086*Degree of Restraint^0.87). Transverse Shrinkage is a shrinkage of the metal result of contraction of the base metal & 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*(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 (s) & Degree of Restraint (k_s). With our tool, you need to enter the respective value for Transverse Shrinkage & 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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