Channel Length 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%
✖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%
✖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%

✖Channel Length is the length of channel of steel beam I section between two flanges.ⓘ Channel Length given Ultimate Shear Connector Strength for Channels [w]

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Channel Length given Ultimate Shear Connector Strength for Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2))
w = S_ultimate/(17.4*sqrt(f_c)*(h+t/2))
This formula uses 1 Functions, 5 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

Channel Length - (Measured in Meter) - Channel Length is the length of channel of steel beam I section between two flanges.
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
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.
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)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (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

w = S_ultimate/(17.4*sqrt(f_c)*(h+t/2)) --> 20000/(17.4*sqrt(15000000)*(0.188+0.02/2))

Evaluating ... ...

w = 1.4988905709228

STEP 3: Convert Result to Output's Unit

1.4988905709228 Meter -->1498.8905709228 Millimeter (Check conversion here)

FINAL ANSWER

1498.8905709228 ≈ 1498.891 Millimeter <-- Channel Length

(Calculation completed in 00.004 seconds)

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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)

Channel Length given Ultimate Shear Connector Strength for Channels Formula

LaTeX Go

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

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 Channel Length given Ultimate Shear Connector Strength for Channels?

Channel Length given Ultimate Shear Connector Strength for Channels calculator uses Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)) to calculate the Channel Length, The Channel Length given Ultimate Shear Connector Strength for Channels formula is defined as the total length between flanges of a connector of C section. Channel Length is denoted by w symbol.

How to calculate Channel Length given Ultimate Shear Connector Strength for Channels using this online calculator? To use this online calculator for Channel Length given Ultimate Shear Connector Strength for Channels, enter Ultimate Shear Connector Stress (S_ultimate), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t) and hit the calculate button. Here is how the Channel Length given Ultimate Shear Connector Strength for Channels calculation can be explained with given input values -> 1.9E+6 = 20000/(17.4*sqrt(15000000)*(0.188+0.02/2)).

FAQ

What is Channel Length given Ultimate Shear Connector Strength for Channels?

The Channel Length given Ultimate Shear Connector Strength for Channels formula is defined as the total length between flanges of a connector of C section and is represented as w = S_ultimate/(17.4*sqrt(f_c)*(h+t/2)) or Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)). Ultimate Shear Connector Stress is the maximum strength in shear, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, 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 Channel Length given Ultimate Shear Connector Strength for Channels?

The Channel Length given Ultimate Shear Connector Strength for Channels formula is defined as the total length between flanges of a connector of C section is calculated using Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)). To calculate Channel Length given Ultimate Shear Connector Strength for Channels, you need Ultimate Shear Connector Stress (S_ultimate), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, 28 Day Compressive Strength of Concrete, 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.

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