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Shear Capacity for Girders with Transverse Stiffeners Formula

GoShear Capacity for Flexural Members Formula

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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. Check FAQs

V u = 0.58 \cdot f y \cdot d \cdot bw \cdot (C + (\frac{1 - C}{(1.15 \cdot {(1 + {(\frac{a}{H})}^{2})}^{0.5})}))

V_u - Shear Capacity?f_y - Yield Strength of Steel?d - Depth of Cross Section?bw - Breadth of Web?C - Shear Buckling Coefficient C?a - Clear Distance between Transverse Stiffeners?H - Cross Section's Height?

Shear Capacity for Girders with Transverse Stiffeners Example

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Here is how the Shear Capacity for Girders with Transverse Stiffeners equation looks like with Values.

Here is how the Shear Capacity for Girders with Transverse Stiffeners equation looks like with Units.

Here is how the Shear Capacity for Girders with Transverse Stiffeners equation looks like.

8364.9417 = 0.58 \cdot 250 \cdot 200 \cdot 300 \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5000}{5000})}^{2})}^{0.5})}))

8364.9417kN = 0.58 \cdot 250MPa \cdot 200mm \cdot 300mm \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5000mm}{5000mm})}^{2})}^{0.5})}))

8364.9417 = 0.58 \cdot 250 \cdot 200 \cdot 300 \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5000}{5000})}^{2})}^{0.5})}))

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Bridge and Suspension Cable » fx Shear Capacity for Girders with Transverse Stiffeners

Shear Capacity for Girders with Transverse Stiffeners Solution

Follow our step by step solution on how to calculate Shear Capacity for Girders with Transverse Stiffeners?

FIRST Step Consider the formula

V u = 0.58 \cdot f y \cdot d \cdot bw \cdot (C + (\frac{1 - C}{(1.15 \cdot {(1 + {(\frac{a}{H})}^{2})}^{0.5})}))

Next Step Substitute values of Variables

∴

V u = 0.58 \cdot 250MPa \cdot 200mm \cdot 300mm \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5000mm}{5000mm})}^{2})}^{0.5})}))

Next Step Convert Units

∴

V u = 0.58 \cdot 2.5E+8Pa \cdot 0.2m \cdot 0.3m \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5m}{5m})}^{2})}^{0.5})}))

Next Step Prepare to Evaluate

∴

V u = 0.58 \cdot 2.5E+8 \cdot 0.2 \cdot 0.3 \cdot (0.9 + (\frac{1 - 0.9}{(1.15 \cdot {(1 + {(\frac{5}{5})}^{2})}^{0.5})}))

Next Step Evaluate

∴

V u = 8364941.65185417N

Next Step Convert to Output's Unit

∴

V u = 8364.94165185417kN

LAST Step Rounding Answer

∴

V u = 8364.9417kN

Shear Capacity for Girders with Transverse Stiffeners Formula Elements

Variables

Shear Capacity

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.

Symbol: V_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Capacity

Yield Strength of Steel

Yield strength of steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Depth of Cross Section

Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

Symbol: d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Depth of Cross Section

Breadth of Web

Breadth of Web (bw) is the effective width of the member for flanged section.

Symbol: bw

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Breadth of Web

Shear Buckling Coefficient C

Shear buckling coefficient C is geometrical constant depends on h/tw ratio.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Shear Buckling Coefficient C

Clear Distance between Transverse Stiffeners

Clear Distance between Transverse Stiffeners is the distance is clear span distance between supports.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Clear Distance between Transverse Stiffeners

Cross Section's Height

Cross section's height is the vertical distance between bottom and top side of 2D section.

Symbol: H

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Cross Section's Height

Other Formulas to find Shear Capacity

Go Shear Capacity for Flexural Members

V u = 0.58 \cdot f y \cdot d \cdot bw \cdot C

Other formulas in Shear Strength Design for Bridges category

Go Ultimate Shear Connector Strength for Channels

S ultimate = 17.4 \cdot w \cdot ({(f c)}^{0.5}) \cdot (h + \frac{t}{2})

Go Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

h = \frac{S ultimate}{17.4 \cdot w \cdot ({(f c)}^{0.5})} - \frac{t}{2}

How to Evaluate Shear Capacity for Girders with Transverse Stiffeners?

Shear Capacity for Girders with Transverse Stiffeners evaluator 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 evaluate 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 V_u symbol.

How to evaluate Shear Capacity for Girders with Transverse Stiffeners using this online evaluator? To use this online evaluator for Shear Capacity for Girders with Transverse Stiffeners, enter Yield Strength of Steel (f_y), 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.

FAQs on Shear Capacity for Girders with Transverse Stiffeners

What is the formula to find Shear Capacity for Girders with Transverse Stiffeners?

The formula of Shear Capacity for Girders with Transverse Stiffeners is expressed as 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)))). Here is an example- 8.364942 = 0.58*250000000*0.2*0.3*(0.9+((1-0.9)/((1.15*(1+(5/5)^2)^0.5)))).

How to calculate Shear Capacity for Girders with Transverse Stiffeners?

With Yield Strength of Steel (f_y), 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) we can find Shear Capacity for Girders with Transverse Stiffeners using the formula - 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)))).

What are the other ways to Calculate Shear Capacity?

Here are the different ways to Calculate Shear Capacity-

Shear Capacity=0.58*Yield Strength of Steel*Depth of Cross Section*Breadth of Web*Shear Buckling Coefficient C

Can the Shear Capacity for Girders with Transverse Stiffeners be negative?

No, the Shear Capacity for Girders with Transverse Stiffeners, measured in Force cannot be negative.

Which unit is used to measure Shear Capacity for Girders with Transverse Stiffeners?

Shear Capacity for Girders with Transverse Stiffeners is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Shear Capacity for Girders with Transverse Stiffeners can be measured.

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Shear Capacity for Girders with Transverse Stiffeners Formula

​GoShear Capacity for Flexural Members Formula

Shear Capacity for Girders with Transverse Stiffeners Example

Shear Capacity for Girders with Transverse Stiffeners Solution

Shear Capacity for Girders with Transverse Stiffeners Formula Elements

Other Formulas to find Shear Capacity

Other formulas in Shear Strength Design for Bridges category

How to Evaluate Shear Capacity for Girders with Transverse Stiffeners?

FAQs on Shear Capacity for Girders with Transverse Stiffeners

Variable Name

GoShear Capacity for Flexural Members Formula