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

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

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

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

t - Thread Thickness?W_a - Axial load on screw?τ_s - Transverse Shear Stress in Screw?d_c - Core diameter of screw?z - Number of Engaged Threads?π - Archimedes' constant?

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

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Here is how the Thread Thickness at Core Diameter of Screw given Transverse Shear Stress equation looks like with Values.

Here is how the Thread Thickness at Core Diameter of Screw given Transverse Shear Stress equation looks like with Units.

Here is how the Thread Thickness at Core Diameter of Screw given Transverse Shear Stress equation looks like.

3.9969 = \frac{131000}{3.1416 \cdot 27.6 \cdot 42 \cdot 9}

3.9969mm = \frac{131000N}{3.1416 \cdot 27.6N/mm² \cdot 42mm \cdot 9}

3.9969 = \frac{131000}{3.1416 \cdot 27.6 \cdot 42 \cdot 9}

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

Follow our step by step solution on how to calculate Thread Thickness at Core Diameter of Screw given Transverse Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \frac{131000N}{π \cdot 27.6N/mm² \cdot 42mm \cdot 9}

Next Step Substitute values of Constants

∴

t = \frac{131000N}{3.1416 \cdot 27.6N/mm² \cdot 42mm \cdot 9}

Next Step Convert Units

∴

t = \frac{131000N}{3.1416 \cdot 2.8E+7Pa \cdot 0.042m \cdot 9}

Next Step Prepare to Evaluate

∴

t = \frac{131000}{3.1416 \cdot 2.8E+7 \cdot 0.042 \cdot 9}

Next Step Evaluate

∴

t = 0.00399687476900512m

Next Step Convert to Output's Unit

∴

t = 3.99687476900512mm

LAST Step Rounding Answer

∴

t = 3.9969mm

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress 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

Transverse Shear Stress in Screw

Transverse Shear Stress in Screw is the resistance force developed per unit cross-sectional area by the screw to avoid transverse deformation.

Symbol: τ_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Transverse Shear Stress in Screw

Core diameter of screw

Core diameter of screw is defined as the smallest diameter of the thread of the screw or nut. The term “minor diameter” replaces the term “core diameter” as applied to the thread of a screw.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Core 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

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 Root of Nut given Transverse Shear Stress at Root of Nut

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

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 Core Diameter of Screw given Transverse Shear Stress?

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress evaluator uses Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads) to evaluate the Thread Thickness, Thread Thickness at Core Diameter of Screw given Transverse Shear Stress is defined as the thickness of a single thread at the core diameter of the bolt. Thread Thickness is denoted by t symbol.

How to evaluate Thread Thickness at Core Diameter of Screw given Transverse Shear Stress using this online evaluator? To use this online evaluator for Thread Thickness at Core Diameter of Screw given Transverse Shear Stress, enter Axial load on screw (W_a), Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c) & Number of Engaged Threads (z) and hit the calculate button.

FAQs on Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

What is the formula to find Thread Thickness at Core Diameter of Screw given Transverse Shear Stress?

The formula of Thread Thickness at Core Diameter of Screw given Transverse Shear Stress is expressed as Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads). Here is an example- 3996.875 = 131000/(pi*27600000*0.042*9).

How to calculate Thread Thickness at Core Diameter of Screw given Transverse Shear Stress?

With Axial load on screw (W_a), Transverse Shear Stress in Screw (τ_s), Core diameter of screw (d_c) & Number of Engaged Threads (z) we can find Thread Thickness at Core Diameter of Screw given Transverse Shear Stress using the formula - Thread Thickness = Axial load on screw/(pi*Transverse Shear Stress in Screw*Core diameter of screw*Number of Engaged Threads). 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*Nominal diameter of screw*Number of Engaged Threads*Transverse shear stress in nut)

Can the Thread Thickness at Core Diameter of Screw given Transverse Shear Stress be negative?

No, the Thread Thickness at Core Diameter of Screw given Transverse Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Thread Thickness at Core Diameter of Screw given Transverse Shear Stress?

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress 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 Core Diameter of Screw given Transverse Shear Stress can be measured.

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

​GoThread Thickness at Root of Nut given Transverse Shear Stress at Root of Nut Formula

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

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

Thread Thickness at Core Diameter of Screw given Transverse Shear Stress Formula Elements

Other Formulas to find Thread Thickness

Other formulas in Design of Screw and Nut category

How to Evaluate Thread Thickness at Core Diameter of Screw given Transverse Shear Stress?

FAQs on Thread Thickness at Core Diameter of Screw given Transverse Shear Stress

Variable Name

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