28-day Compressive Strength 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%
✖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 given Ultimate Shear Connector Strength for Welded Studs [f_c]

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Formula

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28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs

Formula

`"f"_{"c"} = (("S"_{"ultimate"}/(0.4*"d"_{"stud"}*"d"_{"stud"}))^2)/"E"`

Example

`"14.90116MPa"=(("20.0kN"/(0.4*"64mm"*"64mm"))^2)/"10.0MPa"`

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28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs Solution

STEP 0: Pre-Calculation Summary

Formula Used

28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete
f_c = ((S_ultimate/(0.4*d_stud*d_stud))^2)/E
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion here)
Stud Diameter: 64 Millimeter --> 0.064 Meter (Check conversion here)
Modulus Elasticity of Concrete: 10 Megapascal --> 10000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c = ((S_ultimate/(0.4*d_stud*d_stud))^2)/E --> ((20000/(0.4*0.064*0.064))^2)/10000000

Evaluating ... ...

f_c = 14901161.1938477

STEP 3: Convert Result to Output's Unit

14901161.1938477 Pascal -->14.9011611938477 Megapascal (Check conversion here)

FINAL ANSWER

14.9011611938477 ≈ 14.90116 Megapascal <-- 28 Day Compressive Strength of Concrete

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 9 Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Web Thickness given Ultimate Shear Connector Strength for Channels

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

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

Ultimate Shear Strength for Welded Studs

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

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs

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

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs

Go Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete)

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

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

Go 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete

Ultimate Shear Connector Strength for Channels

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

28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels

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