Height of Crack Width at Soffit given Average Strain 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%
✖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%
✖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%
✖Effective Depth of Reinforcement is the effective depth at which the longitudinal reinforcement is placed inside the section.ⓘ Effective Depth of Reinforcement [d]			+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%
✖Crack Width describes the length of the crack in an element.ⓘ Crack Width [W_cr]			+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%

✖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 Width at Soffit given Average Strain [h_Crack]

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Height of Crack Width at Soffit given Average Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Depth of Reinforcement - (Measured in Meter) - Effective Depth of Reinforcement is the effective depth at which the longitudinal reinforcement is placed inside the section.
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.
Crack Width - (Measured in Meter) - Crack Width describes the length of the crack in an element.
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.

STEP 1: Convert Input(s) to Base Unit

Strain at Selected Level: 0.000514 --> No Conversion Required
Average Strain: 0.0005 --> 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 Depth of Reinforcement: 85 Millimeter --> 0.085 Meter (Check conversion here)
Depth of Neutral Axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Crack Width: 0.49 Millimeter --> 0.00049 Meter (Check conversion here)
Distance from Compression to Crack Width: 4.5 Meter --> 4.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Crack = (((ε₁-ε_m)*(3*E_s*A_s*(d-x)))/(W_cr*(D_CC-x)))+x --> (((0.000514-0.0005)*(3*200000000000*0.0005*(0.085-0.05)))/(0.00049*(4.5-0.05)))+0.05

Evaluating ... ...

h_Crack = 67415.7803370787

STEP 3: Convert Result to Output's Unit

67415.7803370787 Meter --> No Conversion Required

FINAL ANSWER

67415.7803370787 ≈ 67415.78 Meter <-- Height of Crack

(Calculation completed in 00.009 seconds)

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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

Height of Crack Width at Soffit given Average Strain 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 Crack Width?

Crack width calculation is one of the serviceability requirements in the structural concrete elements. The crack width of a flexural member is obtained by multiplying the maximum crack spacing by the mean strain of the flexural steel reinforcement. The function of the reinforcement is to distribute the cracks over the cross section; many smaller cracks occur instead of fewer, wider cracks. combination of tensile- and crack reinforcement is used.

How to Calculate Height of Crack Width at Soffit given Average Strain?

Height of Crack Width at Soffit given Average Strain calculator uses 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 to calculate the Height of Crack, The Height of Crack Width at Soffit given Average Strain is defined as the average strain, indicating structural deformation and potential damage. Height of Crack is denoted by h_Crack symbol.

How to calculate Height of Crack Width at Soffit given Average Strain using this online calculator? To use this online calculator for Height of Crack Width at Soffit given Average Strain, enter Strain at Selected Level (ε₁), Average Strain (ε_m), Modulus of Elasticity of Steel Reinforcement (E_s), Area of Reinforcement (A_s), Effective Depth of Reinforcement (d), Depth of Neutral Axis (x), Crack Width (W_cr) & Distance from Compression to Crack Width (D_CC) and hit the calculate button. Here is how the Height of Crack Width at Soffit given Average Strain calculation can be explained with given input values -> 8076.751 = (((0.000514-0.0005)*(3*200000000000*0.0005*(0.085-0.05)))/(0.00049*(4.5-0.05)))+0.05.

FAQ

What is Height of Crack Width at Soffit given Average Strain?

The Height of Crack Width at Soffit given Average Strain is defined as the average strain, indicating structural deformation and potential damage and is represented as h_Crack = (((ε₁-ε_m)*(3*E_s*A_s*(d-x)))/(W_cr*(D_CC-x)))+x or 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 is described as the strain induced in a rectangular zone which were selected, Average Strain describes the response of a solid to the application of a normal force induced at the selected level, 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, Effective Depth of Reinforcement is the effective depth at which the longitudinal reinforcement is placed inside the section, Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis, Crack Width describes the length of the crack in an element & Distance from Compression to Crack Width can be described as the length from the compression level to the crack width.

How to calculate Height of Crack Width at Soffit given Average Strain?

The Height of Crack Width at Soffit given Average Strain is defined as the average strain, indicating structural deformation and potential damage is calculated using 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. To calculate Height of Crack Width at Soffit given Average Strain, you need Strain at Selected Level (ε₁), Average Strain (ε_m), Modulus of Elasticity of Steel Reinforcement (E_s), Area of Reinforcement (A_s), Effective Depth of Reinforcement (d), Depth of Neutral Axis (x), Crack Width (W_cr) & Distance from Compression to Crack Width (D_CC). With our tool, you need to enter the respective value for Strain at Selected Level, Average Strain, 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 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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