Plate Length Calculator

✖Area required by Bearing Plate is the space occupied by the bearing plate on concrete.ⓘ Area required by Bearing Plate [A₁]			+10% -10%
✖Column Depth is the horizontal length of column cross section.ⓘ Column Depth [d]			+10% -10%
✖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.ⓘ Width of Plate [B]			+10% -10%

✖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.ⓘ Plate Length [N]

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Formula

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Plate Length

Formula

`"N" = sqrt("A"_{"1"})+(0.5*((0.95*"d")-(0.80*"B")))`

Example

`"161.3548mm"=sqrt("23980mm²")+(0.5*((0.95*"140mm")-(0.80*"150mm")))`

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Plate Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate)))
N = sqrt(A₁)+(0.5*((0.95*d)-(0.80*B)))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Bearing or Plate Length - (Measured in Meter) - 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.
Area required by Bearing Plate - (Measured in Square Meter) - Area required by Bearing Plate is the space occupied by the bearing plate on concrete.
Column Depth - (Measured in Meter) - Column Depth is the horizontal length of column cross section.
Width of Plate - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Area required by Bearing Plate: 23980 Square Millimeter --> 0.02398 Square Meter (Check conversion here)
Column Depth: 140 Millimeter --> 0.14 Meter (Check conversion here)
Width of Plate: 150 Millimeter --> 0.15 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = sqrt(A₁)+(0.5*((0.95*d)-(0.80*B))) --> sqrt(0.02398)+(0.5*((0.95*0.14)-(0.80*0.15)))

Evaluating ... ...

N = 0.161354770672395

STEP 3: Convert Result to Output's Unit

0.161354770672395 Meter -->161.354770672395 Millimeter (Check conversion here)

FINAL ANSWER

161.354770672395 ≈ 161.3548 Millimeter <-- Bearing or Plate Length

(Calculation completed in 00.008 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Column Base Plates Calculators

Thickness of Plate for H shaped Column

Go Minimum Plate Thickness = Flange Thickness of H Shaped Columns*sqrt((3*Actual Bearing Pressure)/Allowable Bending Stress)

Plate Length

Go Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate)))

Column Flange Width given Plate Length

Go Width of Plate = (0.95*Column Depth-(Bearing or Plate Length-sqrt(Area required by Bearing Plate))/0.5)/0.80

Column Depth using Plate Length

Go Column Depth = (Bearing or Plate Length-(sqrt(Area required by Bearing Plate))+(0.80*Width of Plate))/0.95

Thickness of Plate

Go Minimum Plate Thickness = 2*Limiting Size*sqrt(Actual Bearing Pressure/Yield Stress of Steel)

Bearing Pressure given Plate Thickness

Go Actual Bearing Pressure = (Minimum Plate Thickness/(2*Limiting Size))^2*Yield Stress of Steel

Area Required by Base Plate

Go Area required by Bearing Plate = Column Load/(0.7*Specified Compressive Strength of Concrete)

Column Load for given Base Plate Area

Go Column Load = Area required by Bearing Plate*0.7*Specified Compressive Strength of Concrete

Plate Length Formula

Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate)))
N = sqrt(A₁)+(0.5*((0.95*d)-(0.80*B)))

What is Base Plate & types of Columns based on Slenderness Ratio?

The Base plates are usually used to distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded. It acts as a support to transfer the compression load acting over the columns. Column bases are usually assumed to be subject to axial compression and shear only.
Types of columns are as follows:
Long or Slender column: Length is more than critical buckling length and hence fails due to buckling.
Short column: The length is less than the critical buckling length and it fails by shearing.

What is the difference between Columns and Struts?

The Strut is mainly used in roof trusses and steel bridges. The main purpose of a strut is to maintain the rigidity of the structure and to take compressive force and is not designed to take any gravity load, but
the column is designed for various types of loads acting on it such as axial load bending moment gravity load shear forces buckling and horizontal load like earthquake load and wind load.
Both Column and Strut are comprehensive members but the main difference between them is column is a comprehensive member of the frame structure and the strut is a comprehensive member of the truss structure.

How to Calculate Plate Length?

Plate Length calculator uses Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))) to calculate 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 calculate Plate Length using this online calculator? To use this online calculator for Plate Length, enter Area required by Bearing Plate (A₁), Column Depth (d) & Width of Plate (B) and hit the calculate button. Here is how the Plate Length calculation can be explained with given input values -> 194604.8 = sqrt(0.02398)+(0.5*((0.95*0.14)-(0.80*0.15))).

FAQ

What is 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 and is represented as N = sqrt(A₁)+(0.5*((0.95*d)-(0.80*B))) or Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))). Area required by Bearing Plate is the space occupied by the bearing plate on concrete, Column Depth is the horizontal length of column cross section & 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.

How to calculate 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 is calculated using Bearing or Plate Length = sqrt(Area required by Bearing Plate)+(0.5*((0.95*Column Depth)-(0.80*Width of Plate))). To calculate Plate Length, you need Area required by Bearing Plate (A₁), Column Depth (d) & Width of Plate (B). With our tool, you need to enter the respective value for Area required by Bearing Plate, Column Depth & Width of Plate 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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