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Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula

GoThread Thickness at Core Diameter of Screw given Transverse Shear Stress Formula

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

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

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

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Example

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Here is how the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut equation looks like with Values.

Here is how the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut equation looks like with Units.

Here is how the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut equation looks like.

3.977 = \frac{131000}{3.1416 \cdot 50 \cdot 9 \cdot 23.3}

3.977mm = \frac{131000N}{3.1416 \cdot 50mm \cdot 9 \cdot 23.3N/mm²}

3.977 = \frac{131000}{3.1416 \cdot 50 \cdot 9 \cdot 23.3}

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Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Solution

Follow our step by step solution on how to calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{131000N}{π \cdot 50mm \cdot 9 \cdot 23.3N/mm²}

Next Step Substitute values of Constants

∴

t = \frac{131000N}{3.1416 \cdot 50mm \cdot 9 \cdot 23.3N/mm²}

Next Step Convert Units

∴

t = \frac{131000N}{3.1416 \cdot 0.05m \cdot 9 \cdot 2.3E+7Pa}

Next Step Prepare to Evaluate

∴

t = \frac{131000}{3.1416 \cdot 0.05 \cdot 9 \cdot 2.3E+7}

Next Step Evaluate

∴

t = 0.00397697616500492m

Next Step Convert to Output's Unit

∴

t = 3.97697616500492mm

LAST Step Rounding Answer

∴

t = 3.977mm

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula Elements

Variables

Constants

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

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

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

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

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

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 Thread Thickness

Go Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

t = \frac{W a}{π \cdot τ s \cdot d c \cdot z}

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Nominal Diameter of Power Screw

d = d c + p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

How to Evaluate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut evaluator uses Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut) to evaluate the Thread Thickness, The Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut determines the thickness of individual thread of a Nut at its Root, that can function under certain loading conditions. Thread Thickness is denoted by t symbol.

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

FAQs on Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut

What is the formula to find Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

The formula of Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut is expressed as Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut). Here is an example- 3976.976 = 131000/(pi*0.05*9*23300000).

How to calculate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

With Axial load on screw (W_a), Nominal diameter of screw (d), Number of Engaged Threads (z) & Transverse shear stress in nut (t_n) we can find Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut using the formula - Thread Thickness = Axial load on screw/(pi*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut). This formula also uses Archimedes' constant .

What are the other ways to Calculate Thread Thickness?

Here are the different ways to Calculate Thread Thickness-

Thread Thickness=Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads)

Can the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut be negative?

No, the Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut, measured in Length cannot be negative.

Which unit is used to measure Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

Thread Thickness at Root of Nut 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 Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut can be measured.

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Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula

​GoThread Thickness at Core Diameter of Screw given Transverse Shear Stress Formula

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Example

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Solution

Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula Elements

Other Formulas to find Thread Thickness

Other formulas in Design of Screw and Nut category

How to Evaluate Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut?

FAQs on Thread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut

Variable Name

GoThread Thickness at Core Diameter of Screw given Transverse Shear Stress Formula