Base Plate Thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate))
tp = 2*l*(sqrt(fp/Fy))
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
Base Plate Thickness - (Measured in Millimeter) - Base Plate Thickness is defined as the thickness of the base plate.
Maximum Cantilever Dimension - (Measured in Millimeter) - Maximum Cantilever Dimension is defined as the maximum value among Cantilever Dimensions and n equivalent cantilever dimension.
Bearing Pressure on Base Plate - (Measured in Megapascal) - Bearing Pressure on Base Plate is defined as the bearing pressure aciting on the base plate.
Yield Strength of Base Plate - (Measured in Megapascal) - The Yield Strength of Base Plate is the magnitude of the stress at which an object ceases to be elastic and transforms into plastic.
STEP 1: Convert Input(s) to Base Unit
Maximum Cantilever Dimension: 25 Millimeter --> 25 Millimeter No Conversion Required
Bearing Pressure on Base Plate: 100 Megapascal --> 100 Megapascal No Conversion Required
Yield Strength of Base Plate: 51 Megapascal --> 51 Megapascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tp = 2*l*(sqrt(fp/Fy)) --> 2*25*(sqrt(100/51))
Evaluating ... ...
tp = 70.0140042014005
STEP 3: Convert Result to Output's Unit
0.0700140042014005 Meter -->70.0140042014005 Millimeter (Check conversion here)
FINAL ANSWER
70.0140042014005 70.014 Millimeter <-- Base Plate Thickness
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Cummins College of Engineering for Women (CCEW), Pune
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10+ Allowable-Stress Design Approach (AISC) Calculators

Base Plate Thickness
Go Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate))
Bearing Pressure on Base Plate
Go Bearing Pressure on Base Plate = ((Base Plate Thickness^2)*Yield Strength of Base Plate)/(2*Maximum Cantilever Dimension)^2
Yeild Strength of Base Plate
Go Yield Strength of Base Plate = (2*Maximum Cantilever Dimension)^2*Bearing Pressure on Base Plate/(Base Plate Thickness)^2
Equivalent Cantilever Dimension
Go Equivalent Cantilever Dimension = (1/4)*sqrt(Depth of Section of Column*Width of Flange)
Depth of Section of Column for Equivalent Cantilever Dimension
Go Depth of Section of Column = (Equivalent Cantilever Dimension^2)*16/(Width of Flange)
Width of Flange Column for Equivalent Cantilever Dimension
Go Width of Flange = (Equivalent Cantilever Dimension^2)*16/(Depth of Section of Column)
Allowable Bearing Pressure given Area of Lowest Column of Structure
Go Allowable Bearing Pressure = Columns Axial Load/Area of Foundation
Area of Foundation of Lowest Column of Structure
Go Area of Foundation = Columns Axial Load/Allowable Bearing Pressure
Load using Area of Lowest Column of Structure
Go Columns Axial Load = Allowable Bearing Pressure*Area of Foundation
Allowable Bearing Pressure when Full Area of Support is Occupied by Base Plate
Go Allowable Bearing Pressure = 0.35*28-Day Compressive Strength of Concrete

Base Plate Thickness Formula

Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate))
tp = 2*l*(sqrt(fp/Fy))

What is the relation between Column and loading?

For columns subjected only to direct load, the welds of a column to a base plate, are required principally for withstanding erection stresses. The welds must be proportioned to resist the forces of columns subjected to uplift.

Define Base Plates and Anchor Rod.

Base plates and anchor rods are often the last structural steel items to be designed but the first items required on the job site. Therefore, the design of the column base plate and connections are part of the critical path.

How to Calculate Base Plate Thickness?

Base Plate Thickness calculator uses Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate)) to calculate the Base Plate Thickness, The Base Plate Thickness formula is defined as distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded. Base Plate Thickness is denoted by tp symbol.

How to calculate Base Plate Thickness using this online calculator? To use this online calculator for Base Plate Thickness, enter Maximum Cantilever Dimension (l), Bearing Pressure on Base Plate (fp) & Yield Strength of Base Plate (Fy) and hit the calculate button. Here is how the Base Plate Thickness calculation can be explained with given input values -> 70014 = 2*0.025*(sqrt(100000000/51000000)).

FAQ

What is Base Plate Thickness?
The Base Plate Thickness formula is defined as distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded and is represented as tp = 2*l*(sqrt(fp/Fy)) or Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate)). Maximum Cantilever Dimension is defined as the maximum value among Cantilever Dimensions and n equivalent cantilever dimension, Bearing Pressure on Base Plate is defined as the bearing pressure aciting on the base plate & The Yield Strength of Base Plate is the magnitude of the stress at which an object ceases to be elastic and transforms into plastic.
How to calculate Base Plate Thickness?
The Base Plate Thickness formula is defined as distribute column loads over a large enough area of supporting concrete construction that the design bearing strength of the concrete is not exceeded is calculated using Base Plate Thickness = 2*Maximum Cantilever Dimension*(sqrt(Bearing Pressure on Base Plate/Yield Strength of Base Plate)). To calculate Base Plate Thickness, you need Maximum Cantilever Dimension (l), Bearing Pressure on Base Plate (fp) & Yield Strength of Base Plate (Fy). With our tool, you need to enter the respective value for Maximum Cantilever Dimension, Bearing Pressure on Base Plate & Yield Strength of Base 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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