Ultimate Shear Strength for Welded Studs Calculator

✖Stud Diameter is the diameter of the Stud used.ⓘ Stud Diameter [d_stud]			+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%

✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Strength for Welded Studs [S_ultimate]

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Ultimate Shear Strength for Welded Studs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)
S_ultimate = 0.4*d_stud*d_stud*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

Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
Stud Diameter - (Measured in Meter) - Stud Diameter is the diameter of the Stud used.
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

Stud Diameter: 64 Millimeter --> 0.064 Meter (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

S_ultimate = 0.4*d_stud*d_stud*sqrt(E*f_c) --> 0.4*0.064*0.064*sqrt(10000000*15000000)

Evaluating ... ...

S_ultimate = 20066.2199728798

STEP 3: Convert Result to Output's Unit

20066.2199728798 Newton -->20.0662199728798 Kilonewton (Check conversion here)

FINAL ANSWER

20.0662199728798 ≈ 20.06622 Kilonewton <-- Ultimate Shear Connector Stress

(Calculation completed in 00.007 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Technology (IIT), Bombay

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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)

Ultimate Shear Strength for Welded Studs Formula

LaTeX Go

Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)
S_ultimate = 0.4*d_stud*d_stud*sqrt(E*f_c)

What is Shear Strength?

Shear strength is a material property that describes a material's resistance against a shear load before the component fails in shear. The shear action or sliding failure described by shear strength occurs parallel to the direction of the force acting on a plane.

What is Stud welding?

Stud welding is a process by which a metal stud, also referred to as a weld stud, is joined to a metal workpiece by heating both parts with an arc.

How to Calculate Ultimate Shear Strength for Welded Studs?

Ultimate Shear Strength for Welded Studs calculator uses Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete) to calculate the Ultimate Shear Connector Stress, The Ultimate Shear Strength for Welded Studs formula is defined as maximum design strength at which it will fail when loaded. Ultimate Shear Connector Stress is denoted by S_ultimate symbol.

How to calculate Ultimate Shear Strength for Welded Studs using this online calculator? To use this online calculator for Ultimate Shear Strength for Welded Studs, enter Stud Diameter (d_stud), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button. Here is how the Ultimate Shear Strength for Welded Studs calculation can be explained with given input values -> 0.020066 = 0.4*0.064*0.064*sqrt(10000000*15000000).

FAQ

What is Ultimate Shear Strength for Welded Studs?

The Ultimate Shear Strength for Welded Studs formula is defined as maximum design strength at which it will fail when loaded and is represented as S_ultimate = 0.4*d_stud*d_stud*sqrt(E*f_c) or Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete). Stud Diameter is the diameter of the Stud used, 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 Ultimate Shear Strength for Welded Studs?

The Ultimate Shear Strength for Welded Studs formula is defined as maximum design strength at which it will fail when loaded is calculated using Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete). To calculate Ultimate Shear Strength for Welded Studs, you need Stud Diameter (d_stud), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (f_c). With our tool, you need to enter the respective value for Stud Diameter, 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.

How many ways are there to calculate Ultimate Shear Connector Stress?

In this formula, Ultimate Shear Connector Stress uses Stud Diameter, Modulus Elasticity of Concrete & 28 Day Compressive Strength of Concrete. We can use 2 other way(s) to calculate the same, which is/are as follows -

Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)
Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)

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