Ultimate Shear Connector Strength for Channels Calculator

✖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.ⓘ Web Thickness [t]			+10% -10%

✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Connector Strength for Channels [S_ultimate]

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Ultimate Shear Connector Strength for Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)
S_ultimate = 17.4*w*((f_c)^0.5)*(h+t/2)
This formula uses 5 Variables

Variables Used

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.
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

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)
Web Thickness: 20 Millimeter --> 0.02 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_ultimate = 17.4*w*((f_c)^0.5)*(h+t/2) --> 17.4*1.5*((15000000)^0.5)*(0.188+0.02/2)

Evaluating ... ...

S_ultimate = 20014.8033365307

STEP 3: Convert Result to Output's Unit

20014.8033365307 Newton -->20.0148033365307 Kilonewton (Check conversion here)

FINAL ANSWER

20.0148033365307 ≈ 20.0148 Kilonewton <-- Ultimate Shear Connector Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Number of Connectors in Bridges » Ultimate Shear Strength of Connectors in Bridges » Ultimate Shear Connector Strength for Channels

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

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National Institute of Technology (NIT), Warangal

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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)

Ultimate Shear Connector Strength for Channels Formula

LaTeX Go

Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)
S_ultimate = 17.4*w*((f_c)^0.5)*(h+t/2)

What is Shear Connector?

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 Ultimate Shear Connector Strength for Channels?

Ultimate Shear Connector Strength for Channels calculator uses Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2) to calculate the Ultimate Shear Connector Stress, The Ultimate Shear Connector Strength for Channels formula is defined as maximum stress at which connector will fail in shear. Ultimate Shear Connector Stress is denoted by S_ultimate symbol.

How to calculate Ultimate Shear Connector Strength for Channels using this online calculator? To use this online calculator for Ultimate Shear Connector Strength for Channels, enter Channel Length (w), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t) and hit the calculate button. Here is how the Ultimate Shear Connector Strength for Channels calculation can be explained with given input values -> 0.016174 = 17.4*1.5*((15000000)^0.5)*(0.188+0.02/2).

FAQ

What is Ultimate Shear Connector Strength for Channels?

The Ultimate Shear Connector Strength for Channels formula is defined as maximum stress at which connector will fail in shear and is represented as S_ultimate = 17.4*w*((f_c)^0.5)*(h+t/2) or Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2). 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 & 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 Ultimate Shear Connector Strength for Channels?

The Ultimate Shear Connector Strength for Channels formula is defined as maximum stress at which connector will fail in shear is calculated using Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2). To calculate Ultimate Shear Connector Strength for Channels, you need Channel Length (w), 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 Channel Length, 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.

How many ways are there to calculate Ultimate Shear Connector Stress?

In this formula, Ultimate Shear Connector Stress uses Channel Length, 28 Day Compressive Strength of Concrete, Average Flange Thickness & Web Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -

Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)
Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)

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