Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)))
dstud = sqrt(Sultimate/(0.4*sqrt(E*fc)))
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
Stud Diameter - (Measured in Meter) - Stud Diameter is the diameter of the Stud used.
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
Modulus Elasticity of Concrete - (Measured in Pascal) - Modulus elasticity of concrete is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
STEP 1: Convert Input(s) to Base Unit
Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion ​here)
Modulus Elasticity of Concrete: 10 Megapascal --> 10000000 Pascal (Check conversion ​here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dstud = sqrt(Sultimate/(0.4*sqrt(E*fc))) --> sqrt(20000/(0.4*sqrt(10000000*15000000)))
Evaluating ... ...
dstud = 0.0638943104246272
STEP 3: Convert Result to Output's Unit
0.0638943104246272 Meter -->63.8943104246272 Millimeter (Check conversion ​here)
FINAL ANSWER
63.8943104246272 63.89431 Millimeter <-- Stud Diameter
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Length given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2))
Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2
28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs
​ LaTeX ​ Go 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete
28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go 28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2

Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Web Thickness given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Web Thickness = ((Ultimate Shear Connector Stress/(17.4*Channel Length*sqrt(28 Day Compressive Strength of Concrete)))-Average Flange Thickness)*2
Channel Length given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2))
Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2
Ultimate Shear Connector Strength for Channels
​ LaTeX ​ Go Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Formula

​LaTeX ​Go
Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)))
dstud = sqrt(Sultimate/(0.4*sqrt(E*fc)))

What is Welded Connection?

A welding joint is a point or edge where two or more pieces of metal or plastic are joined together. They are formed by welding two or more workpieces according to a particular geometry.

What is Shear Connector?

A Shear connector is a steel projection provided on the top flange of steel composite bridge girders to provide necessary shear transfer between the steel girder and composite slab to enable composite action. The most widely used form of shear connector is the headed stud, or shear stud.

How to Calculate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs calculator uses Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))) to calculate the Stud Diameter, The Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs formula is defined as the dimension of the member used. Stud Diameter is denoted by dstud symbol.

How to calculate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs using this online calculator? To use this online calculator for Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs, enter Ultimate Shear Connector Stress (Sultimate), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (fc) and hit the calculate button. Here is how the Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs calculation can be explained with given input values -> 63894.31 = sqrt(20000/(0.4*sqrt(10000000*15000000))).

FAQ

What is Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?
The Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs formula is defined as the dimension of the member used and is represented as dstud = sqrt(Sultimate/(0.4*sqrt(E*fc))) or Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))). Ultimate Shear Connector Stress is the maximum strength in shear, Modulus elasticity of concrete is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
How to calculate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?
The Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs formula is defined as the dimension of the member used is calculated using Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))). To calculate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs, you need Ultimate Shear Connector Stress (Sultimate), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (fc). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Modulus Elasticity of Concrete & 28 Day Compressive Strength of Concrete 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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