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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Formula

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Ultimate Shear Connector Strength for Channels

Formula

`"S"_{"ultimate"} = 17.4*"w"*(("f"_{"c"})^0.5)*("h"+"t"/2)`

Example

`"20.0148kN"=17.4*"1500mm"*(("15MPa")^0.5)*("188mm"+"20mm"/2)`

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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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National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< 9 Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Web Thickness given Ultimate Shear Connector Strength for Channels

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

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

Ultimate Shear Strength for Welded Studs

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

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs

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

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs

Go Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete)

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

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

Go 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete

Ultimate Shear Connector Strength for Channels

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

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