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Load taken by Studs Formula

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

F Stud = (\frac{π}{4}) \cdot ({d s}^{2} \cdot (n \cdot f t))

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

Load taken by Studs Example

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Here is how the Load taken by Studs equation looks like with Values.

Here is how the Load taken by Studs equation looks like with Units.

Here is how the Load taken by Studs equation looks like.

29157.9068 = (\frac{3.1416}{4}) \cdot (15^{2} \cdot (3 \cdot 55))

29157.9068N = (\frac{3.1416}{4}) \cdot ({15mm}^{2} \cdot (3 \cdot 55N/mm²))

29157.9068 = (\frac{3.1416}{4}) \cdot (15^{2} \cdot (3 \cdot 55))

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Load taken by Studs Solution

Follow our step by step solution on how to calculate Load taken by Studs?

FIRST Step Consider the formula

F Stud = (\frac{π}{4}) \cdot ({d s}^{2} \cdot (n \cdot f t))

Next Step Substitute values of Variables

∴

F Stud = (\frac{π}{4}) \cdot ({15mm}^{2} \cdot (3 \cdot 55N/mm²))

Next Step Substitute values of Constants

∴

F Stud = (\frac{3.1416}{4}) \cdot ({15mm}^{2} \cdot (3 \cdot 55N/mm²))

Next Step Convert Units

∴

F Stud = (\frac{3.1416}{4}) \cdot ({0.015m}^{2} \cdot (3 \cdot 5.5E+7Pa))

Next Step Prepare to Evaluate

∴

F Stud = (\frac{3.1416}{4}) \cdot ({0.015}^{2} \cdot (3 \cdot 5.5E+7))

Next Step Evaluate

∴

F Stud = 29157.9068161303N

LAST Step Rounding Answer

∴

F Stud = 29157.9068N

Load taken by Studs Formula Elements

Variables

Constants

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

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

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 Load taken by Studs?

Load taken by Studs evaluator uses Load by Stud = (pi/4)*(Stud Diameter^(2)*(Number of Bolts*Allowable Stress in Stud Material)) to evaluate the Load by Stud, The Load taken by Studs formula is is used to seal a rotating or reciprocating shaft against a fluid. The most common example is in the head of a tap (faucet) where the Studs is usually packed with string which has been soaked in tallow or similar grease. Load by Stud is denoted by F_Stud symbol.

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

FAQs on Load taken by Studs

What is the formula to find Load taken by Studs?

The formula of Load taken by Studs is expressed as Load by Stud = (pi/4)*(Stud Diameter^(2)*(Number of Bolts*Allowable Stress in Stud Material)). Here is an example- 29157.91 = (pi/4)*(0.015^(2)*(3*55000000)).

How to calculate Load taken by Studs?

With Stud Diameter (d_s), Number of Bolts (n) & Allowable Stress in Stud Material (f_t) we can find Load taken by Studs using the formula - Load by Stud = (pi/4)*(Stud Diameter^(2)*(Number of Bolts*Allowable Stress in Stud Material)). This formula also uses Archimedes' constant .

Can the Load taken by Studs be negative?

No, the Load taken by Studs, measured in Force cannot be negative.

Which unit is used to measure Load taken by Studs?

Load taken by Studs is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Load taken by Studs can be measured.

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Load taken by Studs Formula

Load taken by Studs Example

Load taken by Studs Solution

Load taken by Studs Formula Elements

Other formulas in Design of Stuffing Box and Gland category

How to Evaluate Load taken by Studs?

FAQs on Load taken by Studs

Variable Name