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Resultant stress in wire Formula

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Resultant Stress is the simplified representation of stress. Check FAQs

σ R = σ w + σ wf

σ_R - Resultant Stress?σ_w - Initial Winding Stress?σ_wf - Stress in wire due to fluid pressure?

Resultant stress in wire Example

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Here is how the Resultant stress in wire equation looks like with Values.

Here is how the Resultant stress in wire equation looks like with Units.

Here is how the Resultant stress in wire equation looks like.

17 = 9 + 8

17MPa = 9MPa + 8MPa

17 = 9 + 8

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Resultant stress in wire Solution

Follow our step by step solution on how to calculate Resultant stress in wire?

FIRST Step Consider the formula

σ R = σ w + σ wf

Next Step Substitute values of Variables

∴

σ R = 9MPa + 8MPa

Next Step Convert Units

∴

σ R = 9E+6Pa + 8E+6Pa

Next Step Prepare to Evaluate

∴

σ R = 9E+6 + 8E+6

Next Step Evaluate

∴

σ R = 17000000Pa

LAST Step Convert to Output's Unit

∴

σ R = 17MPa

Resultant stress in wire Formula Elements

Variables

Resultant Stress

Resultant Stress is the simplified representation of stress.

Symbol: σ_R

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Resultant Stress

Initial Winding Stress

Initial Winding Stress is the tensile stress produced in the winding wire.

Symbol: σ_w

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Initial Winding Stress

Stress in wire due to fluid pressure

Stress in wire due to fluid pressure is a kind of tensile stress exerted on wire due to fluid pressure.

Symbol: σ_wf

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress in wire due to fluid pressure

Other Formulas to find Resultant Stress

Go Resultant stress in cylinder

σ R = σ c - F circumference

Other formulas in Stress category

Go Longitudinal stress in thin cylindrical vessel given Longitudinal strain

σ l = ((ε longitudinal \cdot E)) + (𝛎 \cdot σ θ)

Go Efficiency of circumferential joint given longitudinal stress

η c = \frac{P i \cdot D i}{4 \cdot t}

Go Efficiency of longitudinal joint given hoop stress

η l = \frac{P i \cdot D i}{2 \cdot t}

Go Internal diameter of vessel given hoop stress and efficiency of longitudinal joint

D i = \frac{σ θ \cdot 2 \cdot t \cdot η l}{P i}

How to Evaluate Resultant stress in wire?

Resultant stress in wire evaluator uses Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure to evaluate the Resultant Stress, The Resultant stress in wire formula is defined as elongation of material when stretching force is applied along with axis of applied force. Resultant Stress is denoted by σ_R symbol.

How to evaluate Resultant stress in wire using this online evaluator? To use this online evaluator for Resultant stress in wire, enter Initial Winding Stress (σ_w) & Stress in wire due to fluid pressure (σ_wf) and hit the calculate button.

FAQs on Resultant stress in wire

What is the formula to find Resultant stress in wire?

The formula of Resultant stress in wire is expressed as Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure. Here is an example- 1.7E-5 = 9000000+8000000.

How to calculate Resultant stress in wire?

With Initial Winding Stress (σ_w) & Stress in wire due to fluid pressure (σ_wf) we can find Resultant stress in wire using the formula - Resultant Stress = Initial Winding Stress+Stress in wire due to fluid pressure.

What are the other ways to Calculate Resultant Stress?

Here are the different ways to Calculate Resultant Stress-

Resultant Stress=Circumferential Stress due to Fluid Pressure-Compressive Circumferential Stress

Can the Resultant stress in wire be negative?

Yes, the Resultant stress in wire, measured in Stress can be negative.

Which unit is used to measure Resultant stress in wire?

Resultant stress in wire is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Resultant stress in wire can be measured.

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