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

✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Connector Stress [S_ultimate]			+10% -10%
✖Channel Length is the length of channel of steel beam I section between two flanges.ⓘ Channel Length [w]			+10% -10%
✖The average flange thickness is the thickness of flange of steel beam I section.ⓘ Average Flange Thickness [h]			+10% -10%
✖Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.ⓘ Web Thickness [t]			+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 given Ultimate Shear Connector Strength for Channels [f_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2
f_c = (S_ultimate/(17.4*w*(h+t/2)))^2
This formula uses 5 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.
Channel Length - (Measured in Meter) - Channel Length is the length of channel of steel beam I section between two flanges.
Average Flange Thickness - (Measured in Meter) - The average flange thickness is the thickness of flange of steel beam I section.
Web Thickness - (Measured in Meter) - Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.

STEP 1: Convert Input(s) to Base Unit

Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion here)
Channel Length: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Average Flange Thickness: 188 Millimeter --> 0.188 Meter (Check conversion here)
Web Thickness: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c = (S_ultimate/(17.4*w*(h+t/2)))^2 --> (20000/(17.4*1.5*(0.188+0.02/2)))^2

Evaluating ... ...

f_c = 14977819.6240085

STEP 3: Convert Result to Output's Unit

14977819.6240085 Pascal -->14.9778196240085 Megapascal (Check conversion here)

FINAL ANSWER

14.9778196240085 ≈ 14.97782 Megapascal <-- 28 Day Compressive Strength of Concrete

(Calculation completed in 00.020 seconds)

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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)

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

LaTeX Go

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

What is 28-day Compressive Strength of Concrete?

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 of Concrete given Ultimate Shear Connector Strength for Channels?

28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels calculator uses 28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2 to calculate the 28 Day Compressive Strength of Concrete, The 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels formula is defined as strength gained by concrete specimen after 28 days of curing. 28 Day Compressive Strength of Concrete is denoted by f_c symbol.

How to calculate 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels using this online calculator? To use this online calculator for 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels, enter Ultimate Shear Connector Stress (S_ultimate), Channel Length (w), Average Flange Thickness (h) & Web Thickness (t) and hit the calculate button. Here is how the 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels calculation can be explained with given input values -> 2.3E-5 = (20000/(17.4*1.5*(0.188+0.02/2)))^2.

FAQ

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

The 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels formula is defined as strength gained by concrete specimen after 28 days of curing and is represented as f_c = (S_ultimate/(17.4*w*(h+t/2)))^2 or 28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2. Ultimate Shear Connector Stress is the maximum strength in shear, Channel Length is the length of channel of steel beam I section between two flanges, The average flange thickness is the thickness of flange of steel beam I section & Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.

How to calculate 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels?

The 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels formula is defined as strength gained by concrete specimen after 28 days of curing is calculated using 28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2. To calculate 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels, you need Ultimate Shear Connector Stress (S_ultimate), Channel Length (w), Average Flange Thickness (h) & Web Thickness (t). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Channel Length, Average Flange Thickness & Web Thickness 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, Channel Length, Average Flange Thickness & Web Thickness. 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/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete
28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete

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