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Degree of Restraint (Butt joints) Formula

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Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage. Check FAQs

k s = {(\frac{1000}{86} \cdot (\frac{S}{s} - 1))}^{\frac{1}{0.87}}

k_s - Degree of Restraint?S - Transverse Shrinkage of Unrestrained Joint?s - Transverse Shrinkage?

Degree of Restraint (Butt joints) Example

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Here is how the Degree of Restraint (Butt joints) equation looks like with Values.

Here is how the Degree of Restraint (Butt joints) equation looks like with Units.

Here is how the Degree of Restraint (Butt joints) equation looks like.

647.3872 = {(\frac{1000}{86} \cdot (\frac{100}{4} - 1))}^{\frac{1}{0.87}}

647.3872 = {(\frac{1000}{86} \cdot (\frac{100mm}{4mm} - 1))}^{\frac{1}{0.87}}

647.3872 = {(\frac{1000}{86} \cdot (\frac{100}{4} - 1))}^{\frac{1}{0.87}}

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Degree of Restraint (Butt joints) Solution

Follow our step by step solution on how to calculate Degree of Restraint (Butt joints)?

FIRST Step Consider the formula

k s = {(\frac{1000}{86} \cdot (\frac{S}{s} - 1))}^{\frac{1}{0.87}}

Next Step Substitute values of Variables

∴

k s = {(\frac{1000}{86} \cdot (\frac{100mm}{4mm} - 1))}^{\frac{1}{0.87}}

Next Step Convert Units

∴

k s = {(\frac{1000}{86} \cdot (\frac{0.1m}{0.004m} - 1))}^{\frac{1}{0.87}}

Next Step Prepare to Evaluate

∴

k s = {(\frac{1000}{86} \cdot (\frac{0.1}{0.004} - 1))}^{\frac{1}{0.87}}

Next Step Evaluate

∴

k s = 647.387227726476

LAST Step Rounding Answer

∴

k s = 647.3872

Degree of Restraint (Butt joints) Formula Elements

Variables

Degree of Restraint

Degree of restraint is defined as the amount of reaction stress for a unit transverse shrinkage.

Symbol: k_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Degree of Restraint

Transverse Shrinkage of Unrestrained Joint

Transverse Shrinkage of Unrestrained Joint is shrinkage produced when there is no restriction on the joint.

Symbol: S

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Transverse Shrinkage of Unrestrained Joint

Transverse Shrinkage

Transverse Shrinkage is a shrinkage of the metal result of contraction of the base metal.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Transverse Shrinkage

Other formulas in Butt Joints category

Go Transverse Shrinkage in Butt Joints

S b = (5.08 \cdot (\frac{A w}{p tb})) + (1.27 \cdot d)

Go Plate Thickness for given Transverse Shrinkage in Butt Joints

p tb = \frac{5.08 \cdot A w}{S b - (1.27 \cdot d)}

Go Cross-sectional area of weld for given transverse shrinkage in butt joints

A w = \frac{p tb \cdot (S b - 1.27 \cdot d)}{5.08}

Go Total Transverse Shrinkage during Multi-Pass Welding of Butt Joint

S t = S 0 + b \cdot (\log 10 (\frac{w}{w 0}))

How to Evaluate Degree of Restraint (Butt joints)?

Degree of Restraint (Butt joints) evaluator uses Degree of Restraint = (1000/86*(Transverse Shrinkage of Unrestrained Joint/Transverse Shrinkage-1))^(1/0.87) to evaluate the Degree of Restraint, The Degree of Restraint (Butt joints) formula is defined as the amount of reaction stress for a unit transverse shrinkage. Degree of Restraint is denoted by k_s symbol.

How to evaluate Degree of Restraint (Butt joints) using this online evaluator? To use this online evaluator for Degree of Restraint (Butt joints), enter Transverse Shrinkage of Unrestrained Joint (S) & Transverse Shrinkage (s) and hit the calculate button.

FAQs on Degree of Restraint (Butt joints)

What is the formula to find Degree of Restraint (Butt joints)?

The formula of Degree of Restraint (Butt joints) is expressed as Degree of Restraint = (1000/86*(Transverse Shrinkage of Unrestrained Joint/Transverse Shrinkage-1))^(1/0.87). Here is an example- 647.3872 = (1000/86*(0.1/0.004-1))^(1/0.87).

How to calculate Degree of Restraint (Butt joints)?

With Transverse Shrinkage of Unrestrained Joint (S) & Transverse Shrinkage (s) we can find Degree of Restraint (Butt joints) using the formula - Degree of Restraint = (1000/86*(Transverse Shrinkage of Unrestrained Joint/Transverse Shrinkage-1))^(1/0.87).

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