Transverse Shrinkage of Restrained Joint Calculator

✖Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint.ⓘ Transverse Shrinkage of Unrestrained Joint [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 is a shrinkage of the metal result of contraction of the base metal.ⓘ Transverse Shrinkage of Restrained Joint [s]

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Transverse Shrinkage of Restrained Joint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transverse Shrinkage = Transverse Shrinkage of Unrestrained Joint/(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 - (Measured in Meter) - Transverse Shrinkage is a shrinkage of the metal result of contraction of the base metal.
Transverse Shrinkage of Unrestrained Joint - (Measured in Meter) - Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint.
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 Unrestrained Joint: 100 Millimeter --> 0.1 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) --> 0.1/(1+0.086*647.3872^0.87)

Evaluating ... ...

s = 0.0040000001430807

STEP 3: Convert Result to Output's Unit

0.0040000001430807 Meter -->4.0000001430807 Millimeter (Check conversion here)

FINAL ANSWER

4.0000001430807 ≈ 4 Millimeter <-- Transverse Shrinkage

(Calculation completed in 00.004 seconds)

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

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Created by Rajat Vishwakarma

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

Transverse Shrinkage of Restrained Joint Formula

LaTeX Go

Transverse Shrinkage = Transverse Shrinkage of Unrestrained Joint/(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 Transverse Shrinkage of Restrained Joint?

Transverse Shrinkage of Restrained Joint calculator uses Transverse Shrinkage = Transverse Shrinkage of Unrestrained Joint/(1+0.086*Degree of Restraint^0.87) to calculate the Transverse Shrinkage, The Transverse Shrinkage of Restrained Joint formula is defined as the decrease in width of weld due to contraction when plates are restrained. Transverse Shrinkage is denoted by s symbol.

How to calculate Transverse Shrinkage of Restrained Joint using this online calculator? To use this online calculator for Transverse Shrinkage of Restrained Joint, enter Transverse Shrinkage of Unrestrained Joint (S) & Degree of Restraint (k_s) and hit the calculate button. Here is how the Transverse Shrinkage of Restrained Joint calculation can be explained with given input values -> 4000 = 0.1/(1+0.086*647.3872^0.87).

FAQ

What is Transverse Shrinkage of Restrained Joint?

The Transverse Shrinkage of Restrained Joint formula is defined as the decrease in width of weld due to contraction when plates are restrained and is represented as s = S/(1+0.086*k_s^0.87) or Transverse Shrinkage = Transverse Shrinkage of Unrestrained Joint/(1+0.086*Degree of Restraint^0.87). Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint & Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage.

How to calculate Transverse Shrinkage of Restrained Joint?

The Transverse Shrinkage of Restrained Joint formula is defined as the decrease in width of weld due to contraction when plates are restrained is calculated using Transverse Shrinkage = Transverse Shrinkage of Unrestrained Joint/(1+0.086*Degree of Restraint^0.87). To calculate Transverse Shrinkage of Restrained Joint, you need Transverse Shrinkage of Unrestrained Joint (S) & Degree of Restraint (k_s). With our tool, you need to enter the respective value for Transverse Shrinkage of Unrestrained 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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