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Strain in Longitudinal Reinforcement given Tension Force Formula

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Strain in Longitudinal Reinforcement is represented as the induced strain in the reinforcement in the vertical direction. Check FAQs

εs = \frac{N u}{A s \cdot Es}

εs - Strain in Longitudinal Reinforcement?N_u - Tension Force?A_s - Area of Reinforcement?Es - Modulus of Elasticity of Steel?

Strain in Longitudinal Reinforcement given Tension Force Example

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Here is how the Strain in Longitudinal Reinforcement given Tension Force equation looks like with Values.

Here is how the Strain in Longitudinal Reinforcement given Tension Force equation looks like with Units.

Here is how the Strain in Longitudinal Reinforcement given Tension Force equation looks like.

10 = \frac{1000}{500 \cdot 200000}

10 = \frac{1000N}{500mm² \cdot 200000}

10 = \frac{1000}{500 \cdot 200000}

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Strain in Longitudinal Reinforcement given Tension Force Solution

Follow our step by step solution on how to calculate Strain in Longitudinal Reinforcement given Tension Force?

FIRST Step Consider the formula

εs = \frac{N u}{A s \cdot Es}

Next Step Substitute values of Variables

∴

εs = \frac{1000N}{500mm² \cdot 200000}

Next Step Convert Units

∴

εs = \frac{1000N}{0.0005m² \cdot 200000}

Next Step Prepare to Evaluate

∴

εs = \frac{1000}{0.0005 \cdot 200000}

LAST Step Evaluate

∴

εs = 10

Strain in Longitudinal Reinforcement given Tension Force Formula Elements

Variables

Strain in Longitudinal Reinforcement

Strain in Longitudinal Reinforcement is represented as the induced strain in the reinforcement in the vertical direction.

Symbol: εs

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain in Longitudinal Reinforcement

Tension Force

Tension Force is a pulling force transmitted axially from the member.

Symbol: N_u

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension Force

Area of Reinforcement

Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Reinforcement

Modulus of Elasticity of Steel

Modulus of Elasticity of Steel is a property that measures the resistance of steel towards deformation under load. The value of Young's modulus given here is in MPA by default.

Symbol: Es

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

Go Average Strain under Tension

ε m = ε 1 - \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Strain at Selected Level given Average Strain under Tension

ε 1 = ε m + \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Height of Crack Width at Soffit given Average Strain

h Crack = (\frac{(ε 1 - ε m) \cdot (3 \cdot E s \cdot A s \cdot (d - x))}{W cr \cdot (D CC - x)}) + x

Go Couple Force of Cross Section

C = 0.5 \cdot E c \cdot ε c \cdot x \cdot W cr

How to Evaluate Strain in Longitudinal Reinforcement given Tension Force?

Strain in Longitudinal Reinforcement given Tension Force evaluator uses Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel) to evaluate the Strain in Longitudinal Reinforcement, The Strain in Longitudinal Reinforcement given Tension Force is defined as ratio of change in length of material due to applied force to original length. Strain in Longitudinal Reinforcement is denoted by εs symbol.

How to evaluate Strain in Longitudinal Reinforcement given Tension Force using this online evaluator? To use this online evaluator for Strain in Longitudinal Reinforcement given Tension Force, enter Tension Force (N_u), Area of Reinforcement (A_s) & Modulus of Elasticity of Steel (Es) and hit the calculate button.

FAQs on Strain in Longitudinal Reinforcement given Tension Force

What is the formula to find Strain in Longitudinal Reinforcement given Tension Force?

The formula of Strain in Longitudinal Reinforcement given Tension Force is expressed as Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel). Here is an example- 0.05 = 1000/(0.0005*200000).

How to calculate Strain in Longitudinal Reinforcement given Tension Force?

With Tension Force (N_u), Area of Reinforcement (A_s) & Modulus of Elasticity of Steel (Es) we can find Strain in Longitudinal Reinforcement given Tension Force using the formula - Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel).

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Strain in Longitudinal Reinforcement given Tension Force Formula

Strain in Longitudinal Reinforcement given Tension Force Example

Strain in Longitudinal Reinforcement given Tension Force Solution

Strain in Longitudinal Reinforcement given Tension Force Formula Elements

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

How to Evaluate Strain in Longitudinal Reinforcement given Tension Force?

FAQs on Strain in Longitudinal Reinforcement given Tension Force

Variable Name