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Diameter of Longitudinal Bar given Shortest Distance Formula

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

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

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

Diameter of Longitudinal Bar given Shortest Distance Example

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Here is how the Diameter of Longitudinal Bar given Shortest Distance equation looks like with Values.

Here is how the Diameter of Longitudinal Bar given Shortest Distance equation looks like with Units.

Here is how the Diameter of Longitudinal Bar given Shortest Distance equation looks like.

0.0498 = (\sqrt{{(\frac{40}{2})}^{2} + {50.01}^{2}} - 2.51) \cdot 2

0.0498m = (\sqrt{{(\frac{40A}{2})}^{2} + {50.01mm}^{2}} - 2.51cm) \cdot 2

0.0498 = (\sqrt{{(\frac{40}{2})}^{2} + {50.01}^{2}} - 2.51) \cdot 2

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Diameter of Longitudinal Bar given Shortest Distance Solution

Follow our step by step solution on how to calculate Diameter of Longitudinal Bar given Shortest Distance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = (\sqrt{{(\frac{40A}{2})}^{2} + {50.01mm}^{2}} - 2.51cm) \cdot 2

Next Step Convert Units

∴

D = (\sqrt{{(\frac{4E-9m}{2})}^{2} + {0.05m}^{2}} - 0.0251m) \cdot 2

Next Step Prepare to Evaluate

∴

D = (\sqrt{{(\frac{4E-9}{2})}^{2} + {0.05}^{2}} - 0.0251) \cdot 2

Next Step Evaluate

∴

D = 0.0498200000000001m

LAST Step Rounding Answer

∴

D = 0.0498m

Diameter of Longitudinal Bar given Shortest Distance Formula Elements

Variables

Functions

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

Center-to-center Distance

Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.

Symbol: z

Measurement: LengthUnit: A

Note: Value should be greater than 0.

Formulas to find Center-to-center Distance

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

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

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 Diameter of Longitudinal Bar given Shortest Distance?

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

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

FAQs on Diameter of Longitudinal Bar given Shortest Distance

What is the formula to find Diameter of Longitudinal Bar given Shortest Distance?

The formula of Diameter of Longitudinal Bar given Shortest Distance is expressed as Diameter of Longitudinal Bar = (sqrt((Center-to-center Distance/2)^2+Effective Cover^2)-Shortest Distance)*2. Here is an example- 0.05002 = (sqrt((4E-09/2)^2+0.05001^2)-0.0251)*2.

How to calculate Diameter of Longitudinal Bar given Shortest Distance?

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

Can the Diameter of Longitudinal Bar given Shortest Distance be negative?

No, the Diameter of Longitudinal Bar given Shortest Distance, measured in Length cannot be negative.

Which unit is used to measure Diameter of Longitudinal Bar given Shortest Distance?

Diameter of Longitudinal Bar given Shortest Distance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Longitudinal Bar given Shortest Distance can be measured.

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Diameter of Longitudinal Bar given Shortest Distance Formula

Diameter of Longitudinal Bar given Shortest Distance Example

Diameter of Longitudinal Bar given Shortest Distance Solution

Diameter of Longitudinal Bar given Shortest Distance Formula Elements

Other formulas in Calculation of Crack Width category

How to Evaluate Diameter of Longitudinal Bar given Shortest Distance?

FAQs on Diameter of Longitudinal Bar given Shortest Distance

Variable Name