Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2
h = Sultimate/(17.4*w*((fc)^0.5))-t/2
This formula uses 5 Variables
Variables Used
Average Flange Thickness - (Measured in Meter) - The average flange thickness is the thickness of flange of steel beam I section.
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.
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.
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)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion ​here)
Web Thickness: 20 Millimeter --> 0.02 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = Sultimate/(17.4*w*((fc)^0.5))-t/2 --> 20000/(17.4*1.5*((15000000)^0.5))-0.02/2
Evaluating ... ...
h = 0.187853555361809
STEP 3: Convert Result to Output's Unit
0.187853555361809 Meter -->187.853555361809 Millimeter (Check conversion ​here)
FINAL ANSWER
187.853555361809 187.8536 Millimeter <-- Average Flange Thickness
(Calculation completed in 00.020 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)

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels Formula

​LaTeX ​Go
Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2
h = Sultimate/(17.4*w*((fc)^0.5))-t/2

What is Channel Section?

The structural channel, also known as a C-channel or Parallel Flange Channel (PFC), is a type of (usually structural steel) beam, used primarily in building construction and civil engineering.

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 Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels calculator uses Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2 to calculate the Average Flange Thickness, The Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the thickness of the flange plate of the connector used in the design of bridges. Average Flange Thickness is denoted by h symbol.

How to calculate Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels using this online calculator? To use this online calculator for Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels, enter Ultimate Shear Connector Stress (Sultimate), Channel Length (w), 28 Day Compressive Strength of Concrete (fc) & Web Thickness (t) and hit the calculate button. Here is how the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels calculation can be explained with given input values -> 187853.6 = 20000/(17.4*1.5*((15000000)^0.5))-0.02/2.

FAQ

What is Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?
The Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the thickness of the flange plate of the connector used in the design of bridges and is represented as h = Sultimate/(17.4*w*((fc)^0.5))-t/2 or 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 Stress is the maximum strength in shear, Channel Length is the length of channel of steel beam I section between two flanges, 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it & 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 Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?
The Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the thickness of the flange plate of the connector used in the design of bridges is calculated using Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2. To calculate Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels, you need Ultimate Shear Connector Stress (Sultimate), Channel Length (w), 28 Day Compressive Strength of Concrete (fc) & Web Thickness (t). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Channel Length, 28 Day Compressive Strength of Concrete & 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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