Strain at Selected Level given Average Strain under Tension Calculator

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

✖Strain at Selected Level is described as the strain induced in a rectangular zone which were selected.ⓘ Strain at Selected Level given Average Strain under Tension [ε₁]

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Strain at Selected Level given Average Strain under Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
ε₁ = ε_m+(W_cr*(h_Crack-x)*(D_CC-x))/(3*E_s*A_s*(L_eff-x))
This formula uses 9 Variables

Variables Used

Strain at Selected Level - Strain at Selected Level is described as the strain induced in a rectangular zone which were selected.
Average Strain - Average Strain describes the response of a solid to the application of a normal force induced at the selected level.
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

Average Strain: 0.0005 --> 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

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

Evaluating ... ...

ε₁ = 0.000500000001731659

STEP 3: Convert Result to Output's Unit

0.000500000001731659 --> No Conversion Required

FINAL ANSWER

0.000500000001731659 ≈ 0.0005 <-- Strain at Selected Level

(Calculation completed in 00.008 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 » Strain at Selected Level given Average Strain under Tension

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Created by M Naveen

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

Strain at Selected Level given 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. All fibers on one side of the neutral axis are in a state of tension, while those on the opposite side are in compression.

What is Tension force?

Tension Force (Ts) for a Prestressed Section is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over the length of the wire and pulls energy equally on the bodies at the ends.

How to Calculate Strain at Selected Level given Average Strain under Tension?

Strain at Selected Level given Average Strain under Tension calculator uses 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)) to calculate the Strain at Selected Level, The Strain at Selected Level given Average Strain under Tension is defined as relative displacement. Initial, definition of strain is simple but at same time is non-unique. Strain at Selected Level is denoted by ε₁ symbol.

How to calculate Strain at Selected Level given Average Strain under Tension using this online calculator? To use this online calculator for Strain at Selected Level given Average Strain under Tension, enter Average Strain (ε_m), 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 Strain at Selected Level given Average Strain under Tension calculation can be explained with given input values -> 0.0005 = 0.0005+(0.00049*(12.01-0.05)*(4.5-0.05))/(3*200000000000*0.0005*(50.25-0.05)).

FAQ

What is Strain at Selected Level given Average Strain under Tension?

The Strain at Selected Level given Average Strain under Tension is defined as relative displacement. Initial, definition of strain is simple but at same time is non-unique and is represented as ε₁ = ε_m+(W_cr*(h_Crack-x)*(D_CC-x))/(3*E_s*A_s*(L_eff-x)) or 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 describes the response of a solid to the application of a normal force induced at the selected level, 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 Strain at Selected Level given Average Strain under Tension?

The Strain at Selected Level given Average Strain under Tension is defined as relative displacement. Initial, definition of strain is simple but at same time is non-unique is calculated using 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)). To calculate Strain at Selected Level given Average Strain under Tension, you need Average Strain (ε_m), 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 Average Strain, 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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