Shear Capacity for Girders with Transverse Stiffeners Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5))))
Vu = 0.58*fy*d*bw*(C+((1-C)/((1.15*(1+(a/H)^2)^0.5))))
This formula uses 7 Variables
Variables Used
Shear Capacity - (Measured in Newton) - The shear capacity is the ability to resist forces that cause the material's internal structure to slide against itself. It can be measured in either the vertical or horizontal direction.
Yield Strength of Steel - (Measured in Pascal) - Yield strength of steel is the level of stress that corresponds to the yield point.
Depth of Cross Section - (Measured in Meter) - Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.
Breadth of Web - (Measured in Meter) - Breadth of Web (bw) is the effective width of the member for flanged section.
Shear Buckling Coefficient C - Shear buckling coefficient C is geometrical constant depends on h/tw ratio.
Clear Distance between Transverse Stiffeners - (Measured in Meter) - Clear Distance between Transverse Stiffeners is the distance is clear span distance between supports.
Cross Section's Height - (Measured in Meter) - Cross section's height is the vertical distance between bottom and top side of 2D section.
STEP 1: Convert Input(s) to Base Unit
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion ​here)
Depth of Cross Section: 200 Millimeter --> 0.2 Meter (Check conversion ​here)
Breadth of Web: 300 Millimeter --> 0.3 Meter (Check conversion ​here)
Shear Buckling Coefficient C: 0.9 --> No Conversion Required
Clear Distance between Transverse Stiffeners: 5000 Millimeter --> 5 Meter (Check conversion ​here)
Cross Section's Height: 5000 Millimeter --> 5 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vu = 0.58*fy*d*bw*(C+((1-C)/((1.15*(1+(a/H)^2)^0.5)))) --> 0.58*250000000*0.2*0.3*(0.9+((1-0.9)/((1.15*(1+(5/5)^2)^0.5))))
Evaluating ... ...
Vu = 8364941.65185417
STEP 3: Convert Result to Output's Unit
8364941.65185417 Newton -->8364.94165185417 Kilonewton (Check conversion ​here)
FINAL ANSWER
8364.94165185417 8364.942 Kilonewton <-- Shear Capacity
(Calculation completed in 00.004 seconds)

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Shear Strength Design for Bridges Calculators

Shear Capacity for Girders with Transverse Stiffeners
​ LaTeX ​ Go Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5))))
Shear Capacity for Flexural Members
​ LaTeX ​ Go Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*Shear Buckling Coefficient C

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)

Shear Capacity for Girders with Transverse Stiffeners Formula

​LaTeX ​Go
Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5))))
Vu = 0.58*fy*d*bw*(C+((1-C)/((1.15*(1+(a/H)^2)^0.5))))

What is Shear Capacity for Girders with Transverse Stiffeners?

Shear Capacity for Girders with Transverse Stiffeners is type of built up section, whose capacity is enhanced due to the application of transverse stiffeners and hence sustain loading , and resist failure in shear.

How to Calculate Shear Capacity for Girders with Transverse Stiffeners?

Shear Capacity for Girders with Transverse Stiffeners calculator uses Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5)))) to calculate the Shear Capacity, The Shear Capacity for Girders with Transverse Stiffeners formula is defined as capacity to resist failure in shear with stiffeners. Shear Capacity is denoted by Vu symbol.

How to calculate Shear Capacity for Girders with Transverse Stiffeners using this online calculator? To use this online calculator for Shear Capacity for Girders with Transverse Stiffeners, enter Yield Strength of Steel (fy), Depth of Cross Section (d), Breadth of Web (bw), Shear Buckling Coefficient C (C), Clear Distance between Transverse Stiffeners (a) & Cross Section's Height (H) and hit the calculate button. Here is how the Shear Capacity for Girders with Transverse Stiffeners calculation can be explained with given input values -> 8.364942 = 0.58*250000000*0.2*0.3*(0.9+((1-0.9)/((1.15*(1+(5/5)^2)^0.5)))).

FAQ

What is Shear Capacity for Girders with Transverse Stiffeners?
The Shear Capacity for Girders with Transverse Stiffeners formula is defined as capacity to resist failure in shear with stiffeners and is represented as Vu = 0.58*fy*d*bw*(C+((1-C)/((1.15*(1+(a/H)^2)^0.5)))) or Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5)))). Yield strength of steel is the level of stress that corresponds to the yield point, Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered, Breadth of Web (bw) is the effective width of the member for flanged section, Shear buckling coefficient C is geometrical constant depends on h/tw ratio, Clear Distance between Transverse Stiffeners is the distance is clear span distance between supports & Cross section's height is the vertical distance between bottom and top side of 2D section.
How to calculate Shear Capacity for Girders with Transverse Stiffeners?
The Shear Capacity for Girders with Transverse Stiffeners formula is defined as capacity to resist failure in shear with stiffeners is calculated using Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*(Shear Buckling Coefficient C+((1-Shear Buckling Coefficient C)/((1.15*(1+(Clear Distance between Transverse Stiffeners/Cross Section's Height)^2)^0.5)))). To calculate Shear Capacity for Girders with Transverse Stiffeners, you need Yield Strength of Steel (fy), Depth of Cross Section (d), Breadth of Web (bw), Shear Buckling Coefficient C (C), Clear Distance between Transverse Stiffeners (a) & Cross Section's Height (H). With our tool, you need to enter the respective value for Yield Strength of Steel, Depth of Cross Section, Breadth of Web, Shear Buckling Coefficient C, Clear Distance between Transverse Stiffeners & Cross Section's Height 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 Shear Capacity?
In this formula, Shear Capacity uses Yield Strength of Steel, Depth of Cross Section, Breadth of Web, Shear Buckling Coefficient C, Clear Distance between Transverse Stiffeners & Cross Section's Height. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*Shear Buckling Coefficient C
  • Shear Capacity = 0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*Shear Buckling Coefficient C
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