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Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Formula

GoShear Capacity for Web Slenderness less than Alpha Formula

GoShear Capacity if Web Slenderness is greater than 1.25 alpha Formula

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Shear Capacity is the shear strength of a material or component against the type of yield or structural failure when the material or component fails in shear. Check FAQs

V u = \frac{0.54 \cdot F yw \cdot A w \cdot α}{\frac{H}{t w}}

V_u - Shear Capacity?F_yw - Specified Minimum Yield Stress?A_w - Web Area?α - Separation Ratio?H - Height of Web?t_w - Web Thickness?

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Example

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Here is how the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha equation looks like with Values.

Here is how the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha equation looks like with Units.

Here is how the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha equation looks like.

6.2206 = \frac{0.54 \cdot 139 \cdot 85 \cdot 39}{\frac{2000}{50}}

6.2206kN = \frac{0.54 \cdot 139MPa \cdot 85mm² \cdot 39}{\frac{2000mm}{50mm}}

6.2206 = \frac{0.54 \cdot 139 \cdot 85 \cdot 39}{\frac{2000}{50}}

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Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Solution

Follow our step by step solution on how to calculate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

FIRST Step Consider the formula

V u = \frac{0.54 \cdot F yw \cdot A w \cdot α}{\frac{H}{t w}}

Next Step Substitute values of Variables

∴

V u = \frac{0.54 \cdot 139MPa \cdot 85mm² \cdot 39}{\frac{2000mm}{50mm}}

Next Step Convert Units

∴

V u = \frac{0.54 \cdot 1.4E+8Pa \cdot 8.5E-5m² \cdot 39}{\frac{2m}{0.05m}}

Next Step Prepare to Evaluate

∴

V u = \frac{0.54 \cdot 1.4E+8 \cdot 8.5E-5 \cdot 39}{\frac{2}{0.05}}

Next Step Evaluate

∴

V u = 6220.5975N

Next Step Convert to Output's Unit

∴

V u = 6.2205975kN

LAST Step Rounding Answer

∴

V u = 6.2206kN

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Formula Elements

Variables

Shear Capacity

Shear Capacity is the shear strength of a material or component against the type of yield or structural failure when the material or component fails in shear.

Symbol: V_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Capacity

Specified Minimum Yield Stress

Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, ex- web.

Symbol: F_yw

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified Minimum Yield Stress

Web Area

Web Area is the cross-sectional area of the web of a structural member, such as an I-beam or a H-beam.

Symbol: A_w

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Web Area

Separation Ratio

Separation Ratio is the limiting coefficient used for LRFD for shear in buildings to calculate the shear capacity of section.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Separation Ratio

Height of Web

Height of Web is the vertical distance between the top and bottom edges of the web section of a structural member, such as an I-beam or a T-beam.

Symbol: H

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Web

Web Thickness

Web Thickness is the thickness of the web of a steel structural member, such as an I-beam, H-beam, or channel section. The web is the vertical, central part of these beams that connects the flanges.

Symbol: t_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Web Thickness

Other Formulas to find Shear Capacity

Go Shear Capacity for Web Slenderness less than Alpha

V u = 0.54 \cdot F yw \cdot A w

Go Shear Capacity if Web Slenderness is greater than 1.25 alpha

V u = \frac{23760 \cdot k \cdot A w}{{(\frac{H}{t w})}^{2}}

How to Evaluate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha evaluator uses Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness) to evaluate the Shear Capacity, The Shear Capacity if Web Slenderness is between 1 and 1.25 alpha formula is defined as the shear strength of the web section when the slenderness ratio is between specified values of separation ratio. Shear Capacity is denoted by V_u symbol.

How to evaluate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha using this online evaluator? To use this online evaluator for Shear Capacity if Web Slenderness is between 1 and 1.25 alpha, enter Specified Minimum Yield Stress (F_yw), Web Area (A_w), Separation Ratio (α), Height of Web (H) & Web Thickness (t_w) and hit the calculate button.

FAQs on Shear Capacity if Web Slenderness is between 1 and 1.25 alpha

What is the formula to find Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

The formula of Shear Capacity if Web Slenderness is between 1 and 1.25 alpha is expressed as Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness). Here is an example- 0.006221 = (0.54*139000000*8.5E-05*39)/(2/0.05).

How to calculate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

With Specified Minimum Yield Stress (F_yw), Web Area (A_w), Separation Ratio (α), Height of Web (H) & Web Thickness (t_w) we can find Shear Capacity if Web Slenderness is between 1 and 1.25 alpha using the formula - Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness).

What are the other ways to Calculate Shear Capacity?

Here are the different ways to Calculate Shear Capacity-

Shear Capacity=0.54*Specified Minimum Yield Stress*Web Area
Shear Capacity=(23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2

Can the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha be negative?

No, the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha, measured in Force cannot be negative.

Which unit is used to measure Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Shear Capacity if Web Slenderness is between 1 and 1.25 alpha can be measured.

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Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Formula

​GoShear Capacity for Web Slenderness less than Alpha Formula

​GoShear Capacity if Web Slenderness is greater than 1.25 alpha Formula

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Example

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Solution

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha Formula Elements

Other Formulas to find Shear Capacity

How to Evaluate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?

FAQs on Shear Capacity if Web Slenderness is between 1 and 1.25 alpha

Variable Name

GoShear Capacity for Web Slenderness less than Alpha Formula

GoShear Capacity if Web Slenderness is greater than 1.25 alpha Formula