Shear Capacity if Web Slenderness is greater than 1.25 alpha Calculator

✖Effective Length Factor used for the members in the frame is the ratio of compression member stiffness to the end restraint stiffness.ⓘ Effective Length Factor [k]			+10% -10%
✖Web Area is the cross-sectional area of the web of a structural member, such as an I-beam or a H-beam.ⓘ Web Area [A_w]			+10% -10%
✖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.ⓘ Height of Web [H]			+10% -10%
✖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.ⓘ Web Thickness [t_w]			+10% -10%

✖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.ⓘ Shear Capacity if Web Slenderness is greater than 1.25 alpha [V_u]

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Shear Capacity if Web Slenderness is greater than 1.25 alpha Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2
V_u = (23760*k*A_w)/(H/t_w)^2
This formula uses 5 Variables

Variables Used

Shear Capacity - (Measured in Newton) - 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.
Effective Length Factor - Effective Length Factor used for the members in the frame is the ratio of compression member stiffness to the end restraint stiffness.
Web Area - (Measured in Square Millimeter) - Web Area is the cross-sectional area of the web of a structural member, such as an I-beam or a H-beam.
Height of Web - (Measured in Meter) - 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.
Web Thickness - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Effective Length Factor: 5 --> No Conversion Required
Web Area: 85 Square Millimeter --> 85 Square Millimeter No Conversion Required
Height of Web: 2000 Millimeter --> 2 Meter (Check conversion here)
Web Thickness: 50 Millimeter --> 0.05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_u = (23760*k*A_w)/(H/t_w)^2 --> (23760*5*85)/(2/0.05)^2

Evaluating ... ...

V_u = 6311.25

STEP 3: Convert Result to Output's Unit

6311.25 Newton -->6.31125 Kilonewton (Check conversion here)

FINAL ANSWER

6.31125 Kilonewton <-- Shear Capacity

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Shear in Buildings Calculators

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha

LaTeX Go Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness)

Shear Capacity if Web Slenderness is greater than 1.25 alpha

LaTeX Go Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2

Shear Capacity for Web Slenderness less than Alpha

LaTeX Go Shear Capacity = 0.54*Specified Minimum Yield Stress*Web Area

Shear Capacity if Web Slenderness is greater than 1.25 alpha Formula

LaTeX Go

Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2
V_u = (23760*k*A_w)/(H/t_w)^2

What do you mean by LRFD (Load Resistance Factor Design)?

The LRFD is a probability-based limit state design procedure. In its development, both load effects and resistance were treated as random variables. Their variabilities and uncertainties were represented by frequency distribution curves. The LRFD is based on the limit state design concept. A limit state is defined as a condition in which a structure or structural component becomes unsafe or unsuitable for its intended function.

What is Slenderness Ratio?

The Slenderness Ratio or simply slenderness is an aspect ratio, the quotient between the height and the width of the considered section. In structural engineering, slenderness is a measure of the propensity of a column to buckle.

How to Calculate Shear Capacity if Web Slenderness is greater than 1.25 alpha?

Shear Capacity if Web Slenderness is greater than 1.25 alpha calculator uses Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2 to calculate the Shear Capacity, The Shear Capacity if Web Slenderness is greater than 1.25 alpha formula is defined as the shear strength of the web section when the slenderness ration is more than specified separation value. Shear Capacity is denoted by V_u symbol.

How to calculate Shear Capacity if Web Slenderness is greater than 1.25 alpha using this online calculator? To use this online calculator for Shear Capacity if Web Slenderness is greater than 1.25 alpha, enter Effective Length Factor (k), Web Area (A_w), Height of Web (H) & Web Thickness (t_w) and hit the calculate button. Here is how the Shear Capacity if Web Slenderness is greater than 1.25 alpha calculation can be explained with given input values -> 0.006311 = (23760*5*8.5E-05)/(2/0.05)^2.

FAQ

What is Shear Capacity if Web Slenderness is greater than 1.25 alpha?

The Shear Capacity if Web Slenderness is greater than 1.25 alpha formula is defined as the shear strength of the web section when the slenderness ration is more than specified separation value and is represented as V_u = (23760*k*A_w)/(H/t_w)^2 or Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2. Effective Length Factor used for the members in the frame is the ratio of compression member stiffness to the end restraint stiffness, Web Area is the cross-sectional area of the web of a structural member, such as an I-beam or a H-beam, 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 & 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.

How to calculate Shear Capacity if Web Slenderness is greater than 1.25 alpha?

The Shear Capacity if Web Slenderness is greater than 1.25 alpha formula is defined as the shear strength of the web section when the slenderness ration is more than specified separation value is calculated using Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2. To calculate Shear Capacity if Web Slenderness is greater than 1.25 alpha, you need Effective Length Factor (k), Web Area (A_w), Height of Web (H) & Web Thickness (t_w). With our tool, you need to enter the respective value for Effective Length Factor, Web Area, Height of Web & Web Thickness 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 Effective Length Factor, Web Area, Height of Web & Web Thickness. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Capacity = 0.54*Specified Minimum Yield Stress*Web Area
Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness)

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