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]

⎘ Copy

👎

Formula

✖

Channel Web Thickness given Ultimate Shear Connector Strength for Channels

Formula

`"t" = (("S"_{"ultimate"}/(17.4*"w"*sqrt("f"_{"c"})))-"h")*2`

Example

`"19.70711mm"=(("20.0kN"/(17.4*"1500mm"*sqrt("15MPa")))-"188mm")*2`

Calculator

LaTeX

Reset

👍

Download Number of Connectors in Bridges Formulas PDF PDF Image

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)

You are here -

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 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