Average Strain under Tension Calculator

✖Strain at Selected Level is described as the strain induced in a rectangular zone which were selected.ⓘ Strain at Selected Level [ε₁]			+10% -10%
✖Crack Width describes the length of the crack in an element.ⓘ Crack Width [W_cr]			+10% -10%
✖Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.ⓘ Height of Crack [h_Crack]			+10% -10%
✖Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.ⓘ Depth of Neutral Axis [x]			+10% -10%
✖Distance from Compression to Crack Width can be described as the length from the compression level to the crack width.ⓘ Distance from Compression to Crack Width [D_CC]			+10% -10%
✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.ⓘ Area of Reinforcement [A_s]			+10% -10%
✖The Effective Length is the length which resists against buckling.ⓘ Effective Length [L_eff]			+10% -10%

✖Average Strain describes the response of a solid to the application of a normal force induced at the selected level.ⓘ Average Strain under Tension [ε_m]

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Average Strain under Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))
ε_m = ε₁-(W_cr*(h_Crack-x)*(D_CC-x))/(3*E_s*A_s*(L_eff-x))
This formula uses 9 Variables

Variables Used

Average Strain - Average Strain describes the response of a solid to the application of a normal force induced at the selected level.
Strain at Selected Level - Strain at Selected Level is described as the strain induced in a rectangular zone which were selected.
Crack Width - (Measured in Meter) - Crack Width describes the length of the crack in an element.
Height of Crack - (Measured in Meter) - Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.
Depth of Neutral Axis - (Measured in Meter) - Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.
Distance from Compression to Crack Width - (Measured in Meter) - Distance from Compression to Crack Width can be described as the length from the compression level to the crack width.
Modulus of Elasticity of Steel Reinforcement - (Measured in Pascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.
Area of Reinforcement - (Measured in Square Meter) - Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.
Effective Length - (Measured in Meter) - The Effective Length is the length which resists against buckling.

STEP 1: Convert Input(s) to Base Unit

Strain at Selected Level: 0.000514 --> No Conversion Required
Crack Width: 0.49 Millimeter --> 0.00049 Meter (Check conversion here)
Height of Crack: 12.01 Meter --> 12.01 Meter No Conversion Required
Depth of Neutral Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Distance from Compression to Crack Width: 4.5 Meter --> 4.5 Meter No Conversion Required
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)
Area of Reinforcement: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Effective Length: 50.25 Meter --> 50.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_m = ε₁-(W_cr*(h_Crack-x)*(D_CC-x))/(3*E_s*A_s*(L_eff-x)) --> 0.000514-(0.00049*(12.01-0.05)*(4.5-0.05))/(3*200000000000*0.0005*(50.25-0.05))

Evaluating ... ...

ε_m = 0.000513999998268341

STEP 3: Convert Result to Output's Unit

0.000513999998268341 --> No Conversion Required

FINAL ANSWER

0.000513999998268341 ≈ 0.000514 <-- Average Strain

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Crack Width and Deflection of Prestress Concrete Members » Calculation of Crack Width » Evaluation of Average Strain and Neutral Axis Depth » Average Strain under Tension

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National Institute of Technology (NIT), Warangal

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< Evaluation of Average Strain and Neutral Axis Depth Calculators

Height of Crack Width at Soffit given Average Strain

LaTeX Go Height of Crack = (((Strain at Selected Level-Average Strain)*(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Depth of Reinforcement-Depth of Neutral Axis)))/(Crack Width*(Distance from Compression to Crack Width-Depth of Neutral Axis)))+Depth of Neutral Axis

Strain at Selected Level given Average Strain under Tension

LaTeX Go Strain at Selected Level = Average Strain+(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))

Average Strain under Tension

LaTeX Go Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))

Couple Force of Cross Section

LaTeX Go Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width

Average Strain under Tension Formula

LaTeX Go

What does Depth of Neutral Axis mean?

In engineering the line or plane through the section of a beam or plate which does not suffer extension or compression when the beam or plate bends.

How to Calculate Average Strain under Tension?

Average Strain under Tension calculator uses Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis)) to calculate the Average Strain, The Average Strain under Tension is defined as a relative displacement. Initial, The definition of strain is simple but at the same time is non-unique. Average Strain is denoted by ε_m symbol.

How to calculate Average Strain under Tension using this online calculator? To use this online calculator for Average Strain under Tension, enter Strain at Selected Level (ε₁), Crack Width (W_cr), Height of Crack (h_Crack), Depth of Neutral Axis (x), Distance from Compression to Crack Width (D_CC), Modulus of Elasticity of Steel Reinforcement (E_s), Area of Reinforcement (A_s) & Effective Length (L_eff) and hit the calculate button. Here is how the Average Strain under Tension calculation can be explained with given input values -> 0.000514 = 0.000514-(0.00049*(12.01-0.05)*(4.5-0.05))/(3*200000000000*0.0005*(50.25-0.05)).

FAQ

What is Average Strain under Tension?

The Average Strain under Tension is defined as a relative displacement. Initial, The definition of strain is simple but at the same time is non-unique and is represented as ε_m = ε₁-(W_cr*(h_Crack-x)*(D_CC-x))/(3*E_s*A_s*(L_eff-x)) or Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis)). Strain at Selected Level is described as the strain induced in a rectangular zone which were selected, Crack Width describes the length of the crack in an element, Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress, Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis, Distance from Compression to Crack Width can be described as the length from the compression level to the crack width, Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness, Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied & The Effective Length is the length which resists against buckling.

How to calculate Average Strain under Tension?

The Average Strain under Tension is defined as a relative displacement. Initial, The definition of strain is simple but at the same time is non-unique is calculated using Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis)). To calculate Average Strain under Tension, you need Strain at Selected Level (ε₁), Crack Width (W_cr), Height of Crack (h_Crack), Depth of Neutral Axis (x), Distance from Compression to Crack Width (D_CC), Modulus of Elasticity of Steel Reinforcement (E_s), Area of Reinforcement (A_s) & Effective Length (L_eff). With our tool, you need to enter the respective value for Strain at Selected Level, Crack Width, Height of Crack, Depth of Neutral Axis, Distance from Compression to Crack Width, Modulus of Elasticity of Steel Reinforcement, Area of Reinforcement & Effective Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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