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Transverse Shear Stress at Root of Nut Formula

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

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

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

Transverse Shear Stress at Root of Nut Example

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

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

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

23.1659 = \frac{131000}{3.1416 \cdot 50 \cdot 4 \cdot 9}

23.1659N/mm² = \frac{131000N}{3.1416 \cdot 50mm \cdot 4mm \cdot 9}

23.1659 = \frac{131000}{3.1416 \cdot 50 \cdot 4 \cdot 9}

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Transverse Shear Stress at Root of Nut Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t n = \frac{131000N}{π \cdot 50mm \cdot 4mm \cdot 9}

Next Step Substitute values of Constants

∴

t n = \frac{131000N}{3.1416 \cdot 50mm \cdot 4mm \cdot 9}

Next Step Convert Units

∴

t n = \frac{131000N}{3.1416 \cdot 0.05m \cdot 0.004m \cdot 9}

Next Step Prepare to Evaluate

∴

t n = \frac{131000}{3.1416 \cdot 0.05 \cdot 0.004 \cdot 9}

Next Step Evaluate

∴

t n = 23165886.1611537Pa

Next Step Convert to Output's Unit

∴

t n = 23.1658861611537N/mm²

LAST Step Rounding Answer

∴

t n = 23.1659N/mm²

Transverse Shear Stress at Root of Nut Formula Elements

Variables

Constants

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

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

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 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 Transverse Shear Stress at Root of Nut?

Transverse Shear Stress at Root of Nut evaluator uses Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads) to evaluate the Transverse shear stress in nut, Transverse Shear Stress at Root of Nut is the measure of Shear Stress that arises due to bending under the action of the load W, per thread. Transverse shear stress in nut is denoted by t_n symbol.

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

FAQs on Transverse Shear Stress at Root of Nut

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

The formula of Transverse Shear Stress at Root of Nut is expressed as Transverse shear stress in nut = Axial load on screw/(pi*Nominal diameter of screw*Thread Thickness*Number of Engaged Threads). Here is an example- 2.3E-5 = 131000/(pi*0.05*0.004*9).

How to calculate Transverse Shear Stress at Root of Nut?

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

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

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

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

Transverse Shear Stress at Root of Nut is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Transverse Shear Stress at Root of Nut can be measured.

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Transverse Shear Stress at Root of Nut Formula

Transverse Shear Stress at Root of Nut Example

Transverse Shear Stress at Root of Nut Solution

Transverse Shear Stress at Root of Nut Formula Elements

Other formulas in Design of Screw and Nut category

How to Evaluate Transverse Shear Stress at Root of Nut?

FAQs on Transverse Shear Stress at Root of Nut

Variable Name