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Diameter of Stud under Load Formula

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Stud Diameter is the size of the bolt or stud that the ring or spade terminal will be placed around. Check FAQs

d s = {(F Stud \cdot \frac{4}{π} \cdot \frac{1}{n \cdot f t})}^{0.5}

d_s - Stud Diameter?F_Stud - Load by Stud?n - Number of Bolts?f_t - Allowable Stress in Stud Material?π - Archimedes' constant?

Diameter of Stud under Load Example

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Here is how the Diameter of Stud under Load equation looks like with Values.

Here is how the Diameter of Stud under Load equation looks like with Units.

Here is how the Diameter of Stud under Load equation looks like.

0.4565 = {(27 \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 55})}^{0.5}

0.4565mm = {(27N \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 55N/mm²})}^{0.5}

0.4565 = {(27 \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 55})}^{0.5}

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Diameter of Stud under Load Solution

Follow our step by step solution on how to calculate Diameter of Stud under Load?

FIRST Step Consider the formula

d s = {(F Stud \cdot \frac{4}{π} \cdot \frac{1}{n \cdot f t})}^{0.5}

Next Step Substitute values of Variables

∴

d s = {(27N \cdot \frac{4}{π} \cdot \frac{1}{3 \cdot 55N/mm²})}^{0.5}

Next Step Substitute values of Constants

∴

d s = {(27N \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 55N/mm²})}^{0.5}

Next Step Convert Units

∴

d s = {(27N \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 5.5E+7N/m²})}^{0.5}

Next Step Prepare to Evaluate

∴

d s = {(27 \cdot \frac{4}{3.1416} \cdot \frac{1}{3 \cdot 5.5E+7})}^{0.5}

Next Step Evaluate

∴

d s = 0.000456451847557309m

Next Step Convert to Output's Unit

∴

d s = 0.456451847557309mm

LAST Step Rounding Answer

∴

d s = 0.4565mm

Diameter of Stud under Load Formula Elements

Variables

Constants

Stud Diameter

Stud Diameter is the size of the bolt or stud that the ring or spade terminal will be placed around.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stud Diameter

Load by Stud

Load by Stud is the term applied when some form of spring energization is included in the stud bolting system.

Symbol: F_Stud

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load by Stud

Number of Bolts

Number of Bolts is simply defined as the number of bolts that are under our consideration.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Bolts

Allowable Stress in Stud Material

Allowable Stress in Stud Material is defined as the material failure stress (a property of the material) divided by a factor of safety greater than one.

Symbol: f_t

Measurement: StressUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Allowable Stress in Stud Material

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Design of Stuffing Box and Gland category

Go Clearance between Shaft and Stuffing Box if Shaft Diameter is less than equal to 100mm

c = 0.2 \cdot d shaft + 5

Go Internal Diameter of Stuffing Box

d sb = d shaft + 2 \cdot c

Go Thickness of Gland Flange

h = (\frac{d shaft}{8}) + 12.5

Go Thickness of Stuffing Box Body

t = \frac{p \cdot d sb}{2 \cdot f} + 6

How to Evaluate Diameter of Stud under Load?

Diameter of Stud under Load evaluator uses Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5) to evaluate the Stud Diameter, The Diameter of Stud under Load formula is defined as the size of the bolt or stud that the ring or spade terminal will be placed around. Stud Diameter is denoted by d_s symbol.

How to evaluate Diameter of Stud under Load using this online evaluator? To use this online evaluator for Diameter of Stud under Load, enter Load by Stud (F_Stud), Number of Bolts (n) & Allowable Stress in Stud Material (f_t) and hit the calculate button.

FAQs on Diameter of Stud under Load

What is the formula to find Diameter of Stud under Load?

The formula of Diameter of Stud under Load is expressed as Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5). Here is an example- 456.4518 = (27*4/pi*1/(3*55000000))^(0.5).

How to calculate Diameter of Stud under Load?

With Load by Stud (F_Stud), Number of Bolts (n) & Allowable Stress in Stud Material (f_t) we can find Diameter of Stud under Load using the formula - Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5). This formula also uses Archimedes' constant .

Can the Diameter of Stud under Load be negative?

No, the Diameter of Stud under Load, measured in Length cannot be negative.

Which unit is used to measure Diameter of Stud under Load?

Diameter of Stud under Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Stud under Load can be measured.

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Diameter of Stud under Load Formula

Diameter of Stud under Load Example

Diameter of Stud under Load Solution

Diameter of Stud under Load Formula Elements

Other formulas in Design of Stuffing Box and Gland category

How to Evaluate Diameter of Stud under Load?

FAQs on Diameter of Stud under Load

Variable Name