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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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 00.020 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)

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

LaTeX Go

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

What is 28-day Compressive Strength?

It measures the ability of concrete to withstand loads that will decrease the size of the concrete. Compressive strength is tested by breaking cylindrical concrete specimens in a special machine designed to measure this type of strength.

What is Shear Connectors?

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

28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs calculator uses 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete to calculate the 28 Day Compressive Strength of Concrete, The 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs formula is defined as strength gained by concrete after 28 days of curing. 28 Day Compressive Strength of Concrete is denoted by f_c symbol.

How to calculate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs using this online calculator? To use this online calculator for 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs, enter Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & Modulus Elasticity of Concrete (E) and hit the calculate button. Here is how the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs calculation can be explained with given input values -> 1.5E-5 = ((20000/(0.4*0.064*0.064))^2)/10000000.

FAQ

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

The 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs formula is defined as strength gained by concrete after 28 days of curing and is represented as f_c = ((S_ultimate/(0.4*d_stud*d_stud))^2)/E or 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete. Ultimate Shear Connector Stress is the maximum strength in shear, 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.

How to calculate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

The 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs formula is defined as strength gained by concrete after 28 days of curing is calculated using 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete. To calculate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs, you need Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & Modulus Elasticity of Concrete (E). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Stud Diameter & Modulus Elasticity 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 28 Day Compressive Strength of Concrete?

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

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

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