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

✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Connector Stress [S_ultimate]			+10% -10%
✖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.ⓘ Modulus Elasticity of Concrete [E]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%

✖Stud Diameter is the diameter of the Stud used.ⓘ Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs [d_stud]

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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)))
d_stud = sqrt(S_ultimate/(0.4*sqrt(E*f_c)))
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

d_stud = sqrt(S_ultimate/(0.4*sqrt(E*f_c))) --> sqrt(20000/(0.4*sqrt(10000000*15000000)))

Evaluating ... ...

d_stud = 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 00.020 seconds)

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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)))
d_stud = sqrt(S_ultimate/(0.4*sqrt(E*f_c)))

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 d_stud 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 (S_ultimate), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (f_c) 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 d_stud = sqrt(S_ultimate/(0.4*sqrt(E*f_c))) 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 (S_ultimate), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (f_c). 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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