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Tensile Stress in Spigot Formula

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Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force. Check FAQs

σ t = \frac{P}{(\frac{π}{4} \cdot {d ex}^{2}) - (d ex \cdot t c)}

σ_t - Tensile Stress?P - Tensile Force on Rods?d_ex - External Diameter of Spigot?t_c - Thickness of Cotter?π - Archimedes' constant?

Tensile Stress in Spigot Example

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Here is how the Tensile Stress in Spigot equation looks like with Values.

Here is how the Tensile Stress in Spigot equation looks like with Units.

Here is how the Tensile Stress in Spigot equation looks like.

2.4041 = \frac{1500}{(\frac{3.1416}{4} \cdot 45^{2}) - (45 \cdot 21.478)}

2.4041N/mm² = \frac{1500N}{(\frac{3.1416}{4} \cdot {45mm}^{2}) - (45mm \cdot 21.478mm)}

2.4041 = \frac{1500}{(\frac{3.1416}{4} \cdot 45^{2}) - (45 \cdot 21.478)}

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Tensile Stress in Spigot Solution

Follow our step by step solution on how to calculate Tensile Stress in Spigot?

FIRST Step Consider the formula

σ t = \frac{P}{(\frac{π}{4} \cdot {d ex}^{2}) - (d ex \cdot t c)}

Next Step Substitute values of Variables

∴

σ t = \frac{1500N}{(\frac{π}{4} \cdot {45mm}^{2}) - (45mm \cdot 21.478mm)}

Next Step Substitute values of Constants

∴

σ t = \frac{1500N}{(\frac{3.1416}{4} \cdot {45mm}^{2}) - (45mm \cdot 21.478mm)}

Next Step Convert Units

∴

σ t = \frac{1500N}{(\frac{3.1416}{4} \cdot {0.045m}^{2}) - (0.045m \cdot 0.0215m)}

Next Step Prepare to Evaluate

∴

σ t = \frac{1500}{(\frac{3.1416}{4} \cdot {0.045}^{2}) - (0.045 \cdot 0.0215)}

Next Step Evaluate

∴

σ t = 2404149.44315531Pa

Next Step Convert to Output's Unit

∴

σ t = 2.40414944315531N/mm²

LAST Step Rounding Answer

∴

σ t = 2.4041N/mm²

Tensile Stress in Spigot Formula Elements

Variables

Constants

Tensile Stress

Tensile Stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

Symbol: σ_t

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress

Tensile Force on Rods

Tensile Force on Rods is the magnitude of the force applied along an elastic rod along its axis trying to stretch the rod.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tensile Force on Rods

External Diameter of Spigot

External Diameter of Spigot is defined as the diameter of the external surface of the spigot or the inner diameter of the socket.

Symbol: d_ex

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find External Diameter of Spigot

Thickness of Cotter

Thickness of Cotter is the measure of how much broad is the cotter in direction perpendicular to axial force.

Symbol: t_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Cotter

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 Strength and Stress category

Go Maximum Load taken by Cotter Joint given Spigot Diameter, Thickness and Stress

L = (\frac{π}{4} \cdot {d 2}^{2} - d 2 \cdot t c) \cdot σ t sp

Go Load Taken by Cotter Joint Rod given Tensile Stress in Rod

L = \frac{π \cdot d^{2} \cdot σt rod}{4}

Go Load Taken by Socket of Cotter Joint given Tensile Stress in Socket

L = σ t so \cdot (\frac{π}{4} \cdot ({d 1}^{2} - {d 2}^{2}) - t c \cdot (d 1 - d 2))

Go Force on Cotter given Shear Stress in Cotter

L = 2 \cdot t c \cdot b \cdot τ co

How to Evaluate Tensile Stress in Spigot?

Tensile Stress in Spigot evaluator uses Tensile Stress = Tensile Force on Rods/((pi/4*External Diameter of Spigot^(2))-(External Diameter of Spigot*Thickness of Cotter)) to evaluate the Tensile Stress, The Tensile Stress in Spigot formula is defined as stress-induced in the spigot when the force applied on rods. Tensile Stress is denoted by σ_t symbol.

How to evaluate Tensile Stress in Spigot using this online evaluator? To use this online evaluator for Tensile Stress in Spigot, enter Tensile Force on Rods (P), External Diameter of Spigot (d_ex) & Thickness of Cotter (t_c) and hit the calculate button.

FAQs on Tensile Stress in Spigot

What is the formula to find Tensile Stress in Spigot?

The formula of Tensile Stress in Spigot is expressed as Tensile Stress = Tensile Force on Rods/((pi/4*External Diameter of Spigot^(2))-(External Diameter of Spigot*Thickness of Cotter)). Here is an example- 2.4E-6 = 1500/((pi/4*0.045^(2))-(0.045*0.021478)).

How to calculate Tensile Stress in Spigot?

With Tensile Force on Rods (P), External Diameter of Spigot (d_ex) & Thickness of Cotter (t_c) we can find Tensile Stress in Spigot using the formula - Tensile Stress = Tensile Force on Rods/((pi/4*External Diameter of Spigot^(2))-(External Diameter of Spigot*Thickness of Cotter)). This formula also uses Archimedes' constant .

Can the Tensile Stress in Spigot be negative?

No, the Tensile Stress in Spigot, measured in Stress cannot be negative.

Which unit is used to measure Tensile Stress in Spigot?

Tensile Stress in Spigot 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 Tensile Stress in Spigot can be measured.

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Tensile Stress in Spigot Formula

Tensile Stress in Spigot Example

Tensile Stress in Spigot Solution

Tensile Stress in Spigot Formula Elements

Other formulas in Strength and Stress category

How to Evaluate Tensile Stress in Spigot?

FAQs on Tensile Stress in Spigot

Variable Name