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Height of Crack Width at Soffit given Average Strain Formula

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Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress. Check FAQs

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

h_Crack - Height of Crack?ε₁ - Strain at Selected Level?ε_m - Average Strain?E_s - Modulus of Elasticity of Steel Reinforcement?A_s - Area of Reinforcement?d - Effective Depth of Reinforcement?x - Depth of Neutral Axis?W_cr - Crack Width?D_CC - Distance from Compression to Crack Width?

Height of Crack Width at Soffit given Average Strain Example

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Here is how the Height of Crack Width at Soffit given Average Strain equation looks like with Values.

Here is how the Height of Crack Width at Soffit given Average Strain equation looks like with Units.

Here is how the Height of Crack Width at Soffit given Average Strain equation looks like.

67415.7803 = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 200000 \cdot 500 \cdot (85 - 50))}{0.49 \cdot (4.5 - 50)}) + 50

67415.7803m = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 200000MPa \cdot 500mm² \cdot (85mm - 50mm))}{0.49mm \cdot (4.5m - 50mm)}) + 50mm

67415.7803 = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 200000 \cdot 500 \cdot (85 - 50))}{0.49 \cdot (4.5 - 50)}) + 50

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Height of Crack Width at Soffit given Average Strain Solution

Follow our step by step solution on how to calculate Height of Crack Width at Soffit given Average Strain?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Crack = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 200000MPa \cdot 500mm² \cdot (85mm - 50mm))}{0.49mm \cdot (4.5m - 50mm)}) + 50mm

Next Step Convert Units

∴

h Crack = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 2E+11Pa \cdot 0.0005m² \cdot (0.085m - 0.05m))}{0.0005m \cdot (4.5m - 0.05m)}) + 0.05m

Next Step Prepare to Evaluate

∴

h Crack = (\frac{(0.0005 - 0.0005) \cdot (3 \cdot 2E+11 \cdot 0.0005 \cdot (0.085 - 0.05))}{0.0005 \cdot (4.5 - 0.05)}) + 0.05

Next Step Evaluate

∴

h Crack = 67415.7803370787m

LAST Step Rounding Answer

∴

h Crack = 67415.7803m

Height of Crack Width at Soffit given Average Strain Formula Elements

Variables

Height of Crack

Height of Crack is the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h_Crack

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Crack

Strain at Selected Level

Strain at Selected Level is described as the strain induced in a rectangular zone which were selected.

Symbol: ε₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain at Selected Level

Average Strain

Average Strain describes the response of a solid to the application of a normal force induced at the selected level.

Symbol: ε_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Average Strain

Modulus of Elasticity of Steel Reinforcement

Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

Symbol: E_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel Reinforcement

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

Effective Depth of Reinforcement

Effective Depth of Reinforcement is the effective depth at which the longitudinal reinforcement is placed inside the section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Reinforcement

Depth of Neutral Axis

Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Neutral Axis

Crack Width

Crack Width describes the length of the crack in an element.

Symbol: W_cr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crack Width

Distance from Compression to Crack Width

Distance from Compression to Crack Width can be described as the length from the compression level to the crack width.

Symbol: D_CC

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Crack Width

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)}

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

Height of Crack Width at Soffit given Average Strain evaluator 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 evaluate 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 evaluate Height of Crack Width at Soffit given Average Strain using this online evaluator? To use this online evaluator 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.

FAQs on Height of Crack Width at Soffit given Average Strain

What is the formula to find Height of Crack Width at Soffit given Average Strain?

The formula of Height of Crack Width at Soffit given Average Strain is expressed as 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. Here is an example- 8076.751 = (((0.000514-0.0005)*(3*200000000000*0.0005*(0.085-0.05)))/(0.00049*(4.5-0.05)))+0.05.

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

With 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) we can find Height of Crack Width at Soffit given Average Strain using the formula - 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.

Can the Height of Crack Width at Soffit given Average Strain be negative?

No, the Height of Crack Width at Soffit given Average Strain, measured in Length cannot be negative.

Which unit is used to measure Height of Crack Width at Soffit given Average Strain?

Height of Crack Width at Soffit given Average Strain is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Crack Width at Soffit given Average Strain can be measured.

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Height of Crack Width at Soffit given Average Strain Formula

Height of Crack Width at Soffit given Average Strain Example

Height of Crack Width at Soffit given Average Strain Solution

Height of Crack Width at Soffit given Average Strain Formula Elements

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

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

FAQs on Height of Crack Width at Soffit given Average Strain

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