Diameter of Stud under Load Calculator

✖Load by Stud is the term applied when some form of spring energization is included in the stud bolting system.ⓘ Load by Stud [F_Stud]			+10% -10%
✖Number of Bolts is simply defined as the number of bolts that are under our consideration.ⓘ Number of Bolts [n]			+10% -10%
✖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.ⓘ Allowable Stress in Stud Material [f_t]			+10% -10%

✖Stud Diameter is the size of the bolt or stud that the ring or spade terminal will be placed around.ⓘ Diameter of Stud under Load [d_s]

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Formula

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Diameter of Stud under Load

Formula

`"d"_{"s"} = ("F"_{"Stud"}*4/pi*1/("n"*"f"_{"t"}))^(0.5)`

Example

`"0.456452mm"=("27N"*4/pi*1/("3"*"55N/mm²"))^(0.5)`

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Diameter of Stud under Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5)
d_s = (F_Stud*4/pi*1/(n*f_t))^(0.5)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Stud Diameter - (Measured in Meter) - Stud Diameter is the size of the bolt or stud that the ring or spade terminal will be placed around.
Load by Stud - (Measured in Newton) - Load by Stud is the term applied when some form of spring energization is included in the stud bolting system.
Number of Bolts - Number of Bolts is simply defined as the number of bolts that are under our consideration.
Allowable Stress in Stud Material - (Measured in Newton per Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Load by Stud: 27 Newton --> 27 Newton No Conversion Required
Number of Bolts: 3 --> No Conversion Required
Allowable Stress in Stud Material: 55 Newton per Square Millimeter --> 55000000 Newton per Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_s = (F_Stud*4/pi*1/(n*f_t))^(0.5) --> (27*4/pi*1/(3*55000000))^(0.5)

Evaluating ... ...

d_s = 0.000456451847557309

STEP 3: Convert Result to Output's Unit

0.000456451847557309 Meter -->0.456451847557309 Millimeter (Check conversion here)

FINAL ANSWER

0.456451847557309 ≈ 0.456452 Millimeter <-- Stud Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Agitators » Design of Stuffing Box and Gland » Diameter of Stud under Load

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< 10+ Design of Stuffing Box and Gland Calculators

Thickness of Stuffing Box Body

Go Thickness of Stuffing Box Body = (Design Pressure of Stuffing Box*Internal Diameter Stuffing Box)/(2*Allowable Stress for the Stuffing Box Material)+6

Load on Gland

Go Load by Gland = (pi/4)*Design Pressure of Stuffing Box*(Internal Diameter Stuffing Box^(2)-Diameter of Shaft^(2))

Diameter of Stud under Load

Go Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5)

Diameter of Bolt under Load

Go Bolt Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5)

Load taken by Studs

Go Load by Stud = (pi/4)*(Stud Diameter^(2)*(Number of Bolts*Allowable Stress in Stud Material))

Load taken by Bolts

Go Load by Bolt = (pi/4)*(Bolt Diameter^(2)*(Number of Bolts*Allowable Stress in Stud Material))

Internal Diameter of Stuffing Box

Go Internal Diameter Stuffing Box = Diameter of Shaft+2*Clearance between Shaft and Stuffing Box

Clearance between Shaft and Stuffing Box if Shaft Diameter is Greater than 100mm

Go Clearance between Shaft and Stuffing Box = 2.5*(Diameter of Shaft)^0.5

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

Go Clearance between Shaft and Stuffing Box = 0.2*Diameter of Shaft+5

Thickness of Gland Flange

Go Thickness of Gland Flange = (Diameter of Shaft/8)+12.5

Diameter of Stud under Load Formula

Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5)
d_s = (F_Stud*4/pi*1/(n*f_t))^(0.5)

What is Design Load?

the design load is the maximum amount of something a system is designed to handle or the maximum amount of something that the system can produce, which are very different meanings. For example, a crane with a design load of 20 tons is designed to be able to lift loads that weigh 20 tons or less.

How to Calculate Diameter of Stud under Load?

Diameter of Stud under Load calculator uses Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5) to calculate 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 calculate Diameter of Stud under Load using this online calculator? To use this online calculator 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. Here is how the Diameter of Stud under Load calculation can be explained with given input values -> 456.4518 = (27*4/pi*1/(3*55000000))^(0.5).

FAQ

What is Diameter of Stud under Load?

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 and is represented as d_s = (F_Stud*4/pi*1/(n*f_t))^(0.5) or Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5). Load by Stud is the term applied when some form of spring energization is included in the stud bolting system, Number of Bolts is simply defined as the number of bolts that are under our consideration & 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.

How to calculate Diameter of Stud under Load?

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 is calculated using Stud Diameter = (Load by Stud*4/pi*1/(Number of Bolts*Allowable Stress in Stud Material))^(0.5). To calculate Diameter of Stud under Load, you need Load by Stud (F_Stud), Number of Bolts (n) & Allowable Stress in Stud Material (f_t). With our tool, you need to enter the respective value for Load by Stud, Number of Bolts & Allowable Stress in Stud Material 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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