FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Formula

GoNominal Diameter of Power Screw Formula

GoNominal Diameter of Power Screw given Mean Diameter Formula

Fx Copy

LaTeX Copy

Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw. Check FAQs

d = \frac{W a}{π \cdot t n \cdot t \cdot z}

d - Nominal diameter of screw?W_a - Axial load on screw?t_n - Transverse shear stress in nut?t - Thread Thickness?z - Number of Engaged Threads?π - Archimedes' constant?

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Example

With values

With units

Only example

Here is how the Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut equation looks like with Values.

Here is how the Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut equation looks like with Units.

Here is how the Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut equation looks like.

49.7122 = \frac{131000}{3.1416 \cdot 23.3 \cdot 4 \cdot 9}

49.7122mm = \frac{131000N}{3.1416 \cdot 23.3N/mm² \cdot 4mm \cdot 9}

49.7122 = \frac{131000}{3.1416 \cdot 23.3 \cdot 4 \cdot 9}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Solution

Follow our step by step solution on how to calculate Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

FIRST Step Consider the formula

d = \frac{W a}{π \cdot t n \cdot t \cdot z}

Next Step Substitute values of Variables

∴

d = \frac{131000N}{π \cdot 23.3N/mm² \cdot 4mm \cdot 9}

Next Step Substitute values of Constants

∴

d = \frac{131000N}{3.1416 \cdot 23.3N/mm² \cdot 4mm \cdot 9}

Next Step Convert Units

∴

d = \frac{131000N}{3.1416 \cdot 2.3E+7Pa \cdot 0.004m \cdot 9}

Next Step Prepare to Evaluate

∴

d = \frac{131000}{3.1416 \cdot 2.3E+7 \cdot 0.004 \cdot 9}

Next Step Evaluate

∴

d = 0.0497122020625615m

Next Step Convert to Output's Unit

∴

d = 49.7122020625615mm

LAST Step Rounding Answer

∴

d = 49.7122mm

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Formula Elements

Variables

Constants

Nominal diameter of screw

Nominal diameter of screw is defined as the diameter of the cylinder touching the external threads of the screw.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Nominal diameter of screw

Axial load on screw

Axial load on screw is the instantaneous load applied to the screw along its axis.

Symbol: W_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial load on screw

Transverse shear stress in nut

Transverse shear stress in nut is the resistance force developed per unit cross-sectional area by the nut to avoid transverse deformation.

Symbol: t_n

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Transverse shear stress in nut

Thread Thickness

Thread Thickness is defined as the thickness of a single thread.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thread Thickness

Number of Engaged Threads

A number of Engaged Threads of a screw/bolt are the count of threads of the screw/bolt that are currently in engagement with the nut.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Engaged Threads

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 to find Nominal diameter of screw

Go Nominal Diameter of Power Screw

d = d c + p

Go Nominal Diameter of Power Screw given Mean Diameter

d = d m + (0.5 \cdot p)

Go Nominal Diameter of Screw given Unit Bearing Pressure

d = \sqrt{(4 \cdot \frac{W a}{S b \cdot π \cdot z}) + {(d c)}^{2}}

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

Go Pitch of Screw given Mean Diameter

p = \frac{d - d m}{0.5}

How to Evaluate Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut evaluator uses Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads) to evaluate the Nominal diameter of screw, The Nominal Diameter of Screw given Transverse Shear Stress at root of Nut, is the Maximum Diameter of the Screw, engaged with a certain Nut that generates the given Transverse Shear Stress in the Nut. Nominal diameter of screw is denoted by d symbol.

How to evaluate Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut using this online evaluator? To use this online evaluator for Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut, enter Axial load on screw (W_a), Transverse shear stress in nut (t_n), Thread Thickness (t) & Number of Engaged Threads (z) and hit the calculate button.

FAQs on Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

What is the formula to find Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

The formula of Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut is expressed as Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads). Here is an example- 49712.2 = 131000/(pi*23300000*0.004*9).

How to calculate Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

With Axial load on screw (W_a), Transverse shear stress in nut (t_n), Thread Thickness (t) & Number of Engaged Threads (z) we can find Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut using the formula - Nominal diameter of screw = Axial load on screw/(pi*Transverse shear stress in nut*Thread Thickness*Number of Engaged Threads). This formula also uses Archimedes' constant .

What are the other ways to Calculate Nominal diameter of screw?

Here are the different ways to Calculate Nominal diameter of screw-

Nominal diameter of screw=Core diameter of screw+Pitch of power screw thread
Nominal diameter of screw=Mean Diameter of Power Screw+(0.5*Pitch of power screw thread)
Nominal diameter of screw=sqrt((4*Axial load on screw/(Unit bearing pressure for nut*pi*Number of Engaged Threads))+(Core diameter of screw)^2)

Can the Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut be negative?

No, the Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut, measured in Length cannot be negative.

Which unit is used to measure Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Formula

​GoNominal Diameter of Power Screw Formula

​GoNominal Diameter of Power Screw given Mean Diameter Formula

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Example

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Solution

Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut Formula Elements

Other Formulas to find Nominal diameter of screw

Other formulas in Design of Screw and Nut category

How to Evaluate Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut?

FAQs on Nominal Diameter of Screw given Transverse Shear Stress at Root of Nut

Variable Name

GoNominal Diameter of Power Screw Formula

GoNominal Diameter of Power Screw given Mean Diameter Formula