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Center to Center Spacing given Shortest Distance Formula

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Center to Center Spacing is the c-c spacing of longitudinal spacing obtained from the section of the member. Check FAQs

s = 2 \cdot \sqrt{{(acr + (\frac{D}{2}))}^{2} - ({d'}^{2})}

s - Center to Center Spacing?acr - Shortest Distance?D - Diameter of Longitudinal Bar?d' - Effective Cover?

Center to Center Spacing given Shortest Distance Example

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Here is how the Center to Center Spacing given Shortest Distance equation looks like with Values.

Here is how the Center to Center Spacing given Shortest Distance equation looks like with Units.

Here is how the Center to Center Spacing given Shortest Distance equation looks like.

54.1032 = 2 \cdot \sqrt{{(2.51 + (\frac{0.5}{2}))}^{2} - ({50.01}^{2})}

54.1032cm = 2 \cdot \sqrt{{(2.51cm + (\frac{0.5m}{2}))}^{2} - ({50.01mm}^{2})}

54.1032 = 2 \cdot \sqrt{{(2.51 + (\frac{0.5}{2}))}^{2} - ({50.01}^{2})}

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Center to Center Spacing given Shortest Distance Solution

Follow our step by step solution on how to calculate Center to Center Spacing given Shortest Distance?

FIRST Step Consider the formula

s = 2 \cdot \sqrt{{(acr + (\frac{D}{2}))}^{2} - ({d'}^{2})}

Next Step Substitute values of Variables

∴

s = 2 \cdot \sqrt{{(2.51cm + (\frac{0.5m}{2}))}^{2} - ({50.01mm}^{2})}

Next Step Convert Units

∴

s = 2 \cdot \sqrt{{(2.51cm + (\frac{50cm}{2}))}^{2} - ({5.001cm}^{2})}

Next Step Prepare to Evaluate

∴

s = 2 \cdot \sqrt{{(2.51 + (\frac{50}{2}))}^{2} - ({5.001}^{2})}

Next Step Evaluate

∴

s = 0.541032383134318m

Next Step Convert to Output's Unit

∴

s = 54.1032383134318cm

LAST Step Rounding Answer

∴

s = 54.1032cm

Center to Center Spacing given Shortest Distance Formula Elements

Variables

Functions

Center to Center Spacing

Center to Center Spacing is the c-c spacing of longitudinal spacing obtained from the section of the member.

Symbol: s

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Center to Center Spacing

Shortest Distance

Shortest Distance is described as the distance from selected level on the surface to the longitudinal bar.

Symbol: acr

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Shortest Distance

Diameter of Longitudinal Bar

Diameter of Longitudinal Bar shall not have a cover less than 40 mm or the diameter of the bar whichever is more.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Longitudinal Bar

Effective Cover

Effective Cover is the distance from exposed surface of concrete to the centroid of main reinforcement.

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Cover

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Calculation of Crack Width category

Go Crack Width on Surface of Section

W cr = \frac{3 \cdot acr \cdot ε m}{1 + (2 \cdot \frac{acr - C min}{h - x})}

Go Average Strain at Selected Level given Crack Width

ε m = \frac{W cr \cdot (1 + (2 \cdot \frac{acr - C min}{h - x}))}{3 \cdot acr}

Go Depth of Neutral Axis given Crack Width

x = h - (2 \cdot \frac{acr - C min}{3 \cdot acr \cdot ε} - 1)

Go Minimum Clear Cover given Crack Width

C min = acr - \frac{((\frac{3 \cdot acr \cdot ε m}{W cr}) - 1) \cdot (h - x)}{2}

How to Evaluate Center to Center Spacing given Shortest Distance?

Center to Center Spacing given Shortest Distance evaluator uses Center to Center Spacing = 2*sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Effective Cover^2)) to evaluate the Center to Center Spacing, The Center to Center Spacing given Shortest Distance is defined as the distance from one point of longitudinal bar to other point of longitudinal bar. Center to Center Spacing is denoted by s symbol.

How to evaluate Center to Center Spacing given Shortest Distance using this online evaluator? To use this online evaluator for Center to Center Spacing given Shortest Distance, enter Shortest Distance (acr), Diameter of Longitudinal Bar (D) & Effective Cover (d') and hit the calculate button.

FAQs on Center to Center Spacing given Shortest Distance

What is the formula to find Center to Center Spacing given Shortest Distance?

The formula of Center to Center Spacing given Shortest Distance is expressed as Center to Center Spacing = 2*sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Effective Cover^2)). Here is an example- 5408.29 = 2*sqrt((0.0251+(0.5/2))^2-(0.05001^2)).

How to calculate Center to Center Spacing given Shortest Distance?

With Shortest Distance (acr), Diameter of Longitudinal Bar (D) & Effective Cover (d') we can find Center to Center Spacing given Shortest Distance using the formula - Center to Center Spacing = 2*sqrt((Shortest Distance+(Diameter of Longitudinal Bar/2))^2-(Effective Cover^2)). This formula also uses Square Root (sqrt) function(s).

Can the Center to Center Spacing given Shortest Distance be negative?

No, the Center to Center Spacing given Shortest Distance, measured in Length cannot be negative.

Which unit is used to measure Center to Center Spacing given Shortest Distance?

Center to Center Spacing given Shortest Distance is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Center to Center Spacing given Shortest Distance can be measured.

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Center to Center Spacing given Shortest Distance Formula

Center to Center Spacing given Shortest Distance Example

Center to Center Spacing given Shortest Distance Solution

Center to Center Spacing given Shortest Distance Formula Elements

Other formulas in Calculation of Crack Width category

How to Evaluate Center to Center Spacing given Shortest Distance?

FAQs on Center to Center Spacing given Shortest Distance

Variable Name