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

STEP 0: Pre-Calculation Summary
Formula Used
Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness)
Vu = (0.54*Fyw*Aw*α)/(H/tw)
This formula uses 6 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.
Specified Minimum Yield Stress - (Measured in Pascal) - Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, say, web.
Web Area - (Measured in Square Meter) - Web Area is the area of web section in the flexural member.
Separation Ratio - Separation Ratio is the limiting coefficient used for LRFD for shear in buildings to calculate the shear capacity of section.
Height of Web - (Measured in Meter) - The Height of Web is the distance between the top and bottom point of the web section.
Web Thickness - (Measured in Meter) - The Web Thickness is the thickness of the web section in the member of I section.
STEP 1: Convert Input(s) to Base Unit
Specified Minimum Yield Stress: 139 Megapascal --> 139000000 Pascal (Check conversion here)
Web Area: 85 Square Millimeter --> 8.5E-05 Square Meter (Check conversion here)
Separation Ratio: 39 --> 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
Vu = (0.54*Fyw*Aw*α)/(H/tw) --> (0.54*139000000*8.5E-05*39)/(2/0.05)
Evaluating ... ...
Vu = 6220.5975
STEP 3: Convert Result to Output's Unit
6220.5975 Newton -->6.2205975 Kilonewton (Check conversion here)
FINAL ANSWER
6.2205975 6.220598 Kilonewton <-- Shear Capacity
(Calculation completed in 00.004 seconds)

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NSS College of Engineering (NSSCE), Palakkad
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3 Shear in Buildings Calculators

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha
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
Go Shear Capacity = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2
Shear Capacity for Web Slenderness less than Alpha
Go Shear Capacity = 0.54*Specified Minimum Yield Stress*Web Area

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

Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness)
Vu = (0.54*Fyw*Aw*α)/(H/tw)

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 between 1 and 1.25 alpha?

Shear Capacity if Web Slenderness is between 1 and 1.25 alpha calculator uses Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness) to calculate 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 Vu symbol.

How to calculate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha using this online calculator? To use this online calculator for Shear Capacity if Web Slenderness is between 1 and 1.25 alpha, enter Specified Minimum Yield Stress (Fyw), Web Area (Aw), Separation Ratio (α), Height of Web (H) & Web Thickness (tw) and hit the calculate button. Here is how the Shear Capacity if Web Slenderness is between 1 and 1.25 alpha calculation can be explained with given input values -> 0.006221 = (0.54*139000000*8.5E-05*39)/(2/0.05).

FAQ

What is Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?
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 and is represented as Vu = (0.54*Fyw*Aw*α)/(H/tw) or Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness). Specified Minimum Yield Stress represents the minimum tensile stress or yield stress required by the flexural member, say, web, Web Area is the area of web section in the flexural member, Separation Ratio is the limiting coefficient used for LRFD for shear in buildings to calculate the shear capacity of section, The Height of Web is the distance between the top and bottom point of the web section & The Web Thickness is the thickness of the web section in the member of I section.
How to calculate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha?
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 is calculated using Shear Capacity = (0.54*Specified Minimum Yield Stress*Web Area*Separation Ratio)/(Height of Web/Web Thickness). To calculate Shear Capacity if Web Slenderness is between 1 and 1.25 alpha, you need Specified Minimum Yield Stress (Fyw), Web Area (Aw), Separation Ratio (α), Height of Web (H) & Web Thickness (tw). With our tool, you need to enter the respective value for Specified Minimum Yield Stress, Web Area, Separation Ratio, 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 Specified Minimum Yield Stress, Web Area, Separation Ratio, 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 = (23760*Effective Length Factor*Web Area)/(Height of Web/Web Thickness)^2
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