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Plate Length Formula

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Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below. Check FAQs

N = \sqrt{A 1} + (0.5 \cdot ((0.95 \cdot d) - (0.80 \cdot B)))

N - Bearing or Plate Length?A₁ - Area required by Bearing Plate?d - Column Depth?B - Width of Plate?

Plate Length Example

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With units

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Here is how the Plate Length equation looks like with Values.

Here is how the Plate Length equation looks like with Units.

Here is how the Plate Length equation looks like.

161.3548 = \sqrt{23980} + (0.5 \cdot ((0.95 \cdot 140) - (0.80 \cdot 150)))

161.3548mm = \sqrt{23980mm²} + (0.5 \cdot ((0.95 \cdot 140mm) - (0.80 \cdot 150mm)))

161.3548 = \sqrt{23980} + (0.5 \cdot ((0.95 \cdot 140) - (0.80 \cdot 150)))

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Plate Length Solution

Follow our step by step solution on how to calculate Plate Length?

FIRST Step Consider the formula

N = \sqrt{A 1} + (0.5 \cdot ((0.95 \cdot d) - (0.80 \cdot B)))

Next Step Substitute values of Variables

∴

N = \sqrt{23980mm²} + (0.5 \cdot ((0.95 \cdot 140mm) - (0.80 \cdot 150mm)))

Next Step Convert Units

∴

N = \sqrt{0.024m²} + (0.5 \cdot ((0.95 \cdot 0.14m) - (0.80 \cdot 0.15m)))

Next Step Prepare to Evaluate

∴

N = \sqrt{0.024} + (0.5 \cdot ((0.95 \cdot 0.14) - (0.80 \cdot 0.15)))

Next Step Evaluate

∴

N = 0.161354770672395m

Next Step Convert to Output's Unit

∴

N = 161.354770672395mm

LAST Step Rounding Answer

∴

N = 161.3548mm

Plate Length Formula Elements

Variables

Functions

Bearing or Plate Length

Bearing or Plate Length is the length along the beam under which a high concentration of stresses due to concentrated loads is transferred to the supporting structure below.

Symbol: N

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Bearing or Plate Length

Area required by Bearing Plate

Area required by Bearing Plate is the space occupied by the bearing plate on concrete.

Symbol: A₁

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area required by Bearing Plate

Column Depth

Column Depth is the horizontal length of column cross section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Depth

Width of Plate

Width of Plate is one of the surface dimensions of a flat, solid plate, typically measured in millimeters or inches. It is one of the larger surface dimensions, while thickness is smaller dimension.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Plate

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 Column Base Plates category

Go Area Required by Base Plate

A 1 = \frac{C l}{0.7 \cdot f c'}

Go Column Load for given Base Plate Area

C l = A 1 \cdot 0.7 \cdot f c'

Go Thickness of Plate

t = 2 \cdot p \cdot \sqrt{\frac{f p}{F y}}

Go Column Flange Width given Plate Length

B = \frac{0.95 \cdot d - \frac{N - \sqrt{A 1}}{0.5}}{0.80}

How to Evaluate Plate Length?

Plate Length evaluator uses Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))) to evaluate the Bearing or Plate Length, The Plate Length formula is defined as the minimum length of the plate required to keep an economical design for the base plate. Bearing or Plate Length is denoted by N symbol.

How to evaluate Plate Length using this online evaluator? To use this online evaluator for Plate Length, enter Area required by Bearing Plate (A₁), Column Depth (d) & Width of Plate (B) and hit the calculate button.

FAQs on Plate Length

What is the formula to find Plate Length?

The formula of Plate Length is expressed as Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))). Here is an example- 194604.8 = sqrt(0.02398)+(0.5*((0.95*0.14)-(0.80*0.15))).

How to calculate Plate Length?

With Area required by Bearing Plate (A₁), Column Depth (d) & Width of Plate (B) we can find Plate Length using the formula - Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))). This formula also uses Square Root (sqrt) function(s).

Can the Plate Length be negative?

No, the Plate Length, measured in Length cannot be negative.

Which unit is used to measure Plate Length?

Plate Length is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Plate Length can be measured.

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Plate Length Formula

Plate Length Example

Plate Length Solution

Plate Length Formula Elements

Other formulas in Column Base Plates category

How to Evaluate Plate Length?

FAQs on Plate Length

Variable Name