Channel Web Thickness 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%
✖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.ⓘ Channel Web Thickness given Ultimate Shear Connector Strength for Channels [t]

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Channel Web Thickness given Ultimate Shear Connector Strength for Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Average Flange Thickness - (Measured in Meter) - The average flange thickness is the thickness of flange of steel beam I section.

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)
Average Flange Thickness: 188 Millimeter --> 0.188 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((S_ultimate/(17.4*w*sqrt(f_c)))-h)*2 --> ((20000/(17.4*1.5*sqrt(15000000)))-0.188)*2

Evaluating ... ...

t = 0.0197071107236186

STEP 3: Convert Result to Output's Unit

0.0197071107236186 Meter -->19.7071107236186 Millimeter (Check conversion here)

FINAL ANSWER

19.7071107236186 ≈ 19.70711 Millimeter <-- Web Thickness

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Technology (IIT), Bombay

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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 Web Thickness given Ultimate Shear Connector Strength for Channels Formula

LaTeX Go

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

What is Shear Strength?

Shear strength is a material property that describes a material's resistance against a shear load before the component fails in shear. The shear action or sliding failure described by shear strength occurs parallel to the direction of the force acting on a plane.

How to Calculate Channel Web Thickness given Ultimate Shear Connector Strength for Channels?

Channel Web Thickness given Ultimate Shear Connector Strength for Channels calculator uses Web Thickness = ((Ultimate Shear Connector Stress/(17.4*Channel Length*sqrt(28 Day Compressive Strength of Concrete)))-Average Flange Thickness)*2 to calculate the Web Thickness, The Channel Web Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the total width of the plate used in the construction of the channel section. Web Thickness is denoted by t symbol.

How to calculate Channel Web Thickness given Ultimate Shear Connector Strength for Channels using this online calculator? To use this online calculator for Channel Web Thickness given Ultimate Shear Connector Strength for Channels, enter Ultimate Shear Connector Stress (S_ultimate), Channel Length (w), 28 Day Compressive Strength of Concrete (f_c) & Average Flange Thickness (h) and hit the calculate button. Here is how the Channel Web Thickness given Ultimate Shear Connector Strength for Channels calculation can be explained with given input values -> 95707.11 = ((20000/(17.4*1.5*sqrt(15000000)))-0.188)*2.

FAQ

What is Channel Web Thickness given Ultimate Shear Connector Strength for Channels?

The Channel Web Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the total width of the plate used in the construction of the channel section and is represented as t = ((S_ultimate/(17.4*w*sqrt(f_c)))-h)*2 or Web Thickness = ((Ultimate Shear Connector Stress/(17.4*Channel Length*sqrt(28 Day Compressive Strength of Concrete)))-Average Flange 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 & The average flange thickness is the thickness of flange of steel beam I section.

How to calculate Channel Web Thickness given Ultimate Shear Connector Strength for Channels?

The Channel Web Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the total width of the plate used in the construction of the channel section is calculated using Web Thickness = ((Ultimate Shear Connector Stress/(17.4*Channel Length*sqrt(28 Day Compressive Strength of Concrete)))-Average Flange Thickness)*2. To calculate Channel Web Thickness given Ultimate Shear Connector Strength for Channels, you need Ultimate Shear Connector Stress (S_ultimate), Channel Length (w), 28 Day Compressive Strength of Concrete (f_c) & Average Flange Thickness (h). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Channel Length, 28 Day Compressive Strength of Concrete & Average Flange 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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