Shear Range due to Live and Impact Load given Horizontal Shear Range Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment
Vr = (Sr*Ih)/Q
This formula uses 4 Variables
Variables Used
Shear Range - (Measured in Kilonewton) - The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.
Horizontal Shear Range - (Measured in Kilonewton per Millimeter) - The horizontal shear range at the juncture of the slab and beam at point under consideration.
Moment of Inertia of Transformed Section - (Measured in Millimeter⁴) - Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns.
Static Moment - (Measured in Cubic Millimeter) - Static Moment of transformed compressive concrete area about neutral axis of transformed section.
STEP 1: Convert Input(s) to Base Unit
Horizontal Shear Range: 6.4 Kilonewton per Millimeter --> 6.4 Kilonewton per Millimeter No Conversion Required
Moment of Inertia of Transformed Section: 125 Millimeter⁴ --> 125 Millimeter⁴ No Conversion Required
Static Moment: 10 Cubic Millimeter --> 10 Cubic Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = (Sr*Ih)/Q --> (6.4*125)/10
Evaluating ... ...
Vr = 80
STEP 3: Convert Result to Output's Unit
80000 Newton -->80 Kilonewton (Check conversion here)
FINAL ANSWER
80 Kilonewton <-- Shear Range
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Meerut Institute of Engineering and Technology (MIET), Meerut
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12 Shear Range Calculators

Moment of Inertia of Transformed Section given Horizontal Shear Range
Go Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range
Shear Range due to Live and Impact Load given Horizontal Shear Range
Go Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment
Static Moment of Transformed Section given Horizontal Shear Range
Go Static Moment = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Shear Range
Horizontal Shear Range at Juncture of Slab and Beam
Go Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section
Allowable Horizontal Shear for Welded Studs for 2 Million Cycles
Go Allowable Range of Horizontal Shear = 7.85*(Stud Diameter^2)
Allowable Horizontal Shear for Welded Studs for 100,000 Cycles
Go Allowable Range of Horizontal Shear = 13.0*(Stud Diameter^2)
Allowable Horizontal Shear for Welded Studs for 500,000 Cycles
Go Allowable Range of Horizontal Shear = 10.6*(Stud Diameter^2)
Allowable Horizontal Shear for Individual Connector for over 2 Million Cycles
Go Allowable Range of Horizontal Shear = 2.1*Length of Channel
Allowable Horizontal Shear for Individual Connector for 2 Million Cycles
Go Allowable Range of Horizontal Shear = 2.4*Length of Channel
Allowable Horizontal Shear for Welded Studs for over 2 Million Cycles
Go Allowable Range of Horizontal Shear = 5.5*(Stud Diameter^2)
Allowable Horizontal Shear for Individual Connector for 100,000 Cycles
Go Allowable Range of Horizontal Shear = 4*Length of Channel
Allowable Horizontal Shear for Individual Connector for 500,000 Cycles
Go Allowable Range of Horizontal Shear = 3*Length of Channel

Shear Range due to Live and Impact Load given Horizontal Shear Range Formula

Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment
Vr = (Sr*Ih)/Q

What is Shear Range?

Shear Range is defined as the range in which a member is supposed to fail which when loaded uniformly, varies with material and type of loading and boundary conditions which are applicable to the system.

What is Horizontal Shear?

In the plane, a horizontal shear (or shear parallel to the x-axis) is a function that takes a generic point with coordinates to the point; where is a fixed parameter, called the shear factor. The effect of this mapping is to displace every point horizontally by an amount proportionally to its coordinate.

How to Calculate Shear Range due to Live and Impact Load given Horizontal Shear Range?

Shear Range due to Live and Impact Load given Horizontal Shear Range calculator uses Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment to calculate the Shear Range, The Shear Range due to Live and Impact Load given Horizontal Shear Range is defined as range in which member will fail occurs at the juncture of slab and beam at point under consideration. Shear Range is denoted by Vr symbol.

How to calculate Shear Range due to Live and Impact Load given Horizontal Shear Range using this online calculator? To use this online calculator for Shear Range due to Live and Impact Load given Horizontal Shear Range, enter Horizontal Shear Range (Sr), Moment of Inertia of Transformed Section (Ih) & Static Moment (Q) and hit the calculate button. Here is how the Shear Range due to Live and Impact Load given Horizontal Shear Range calculation can be explained with given input values -> 0.08 = (6400000*1.25E-10)/1E-08.

FAQ

What is Shear Range due to Live and Impact Load given Horizontal Shear Range?
The Shear Range due to Live and Impact Load given Horizontal Shear Range is defined as range in which member will fail occurs at the juncture of slab and beam at point under consideration and is represented as Vr = (Sr*Ih)/Q or Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment. The horizontal shear range at the juncture of the slab and beam at point under consideration, Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns & Static Moment of transformed compressive concrete area about neutral axis of transformed section.
How to calculate Shear Range due to Live and Impact Load given Horizontal Shear Range?
The Shear Range due to Live and Impact Load given Horizontal Shear Range is defined as range in which member will fail occurs at the juncture of slab and beam at point under consideration is calculated using Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment. To calculate Shear Range due to Live and Impact Load given Horizontal Shear Range, you need Horizontal Shear Range (Sr), Moment of Inertia of Transformed Section (Ih) & Static Moment (Q). With our tool, you need to enter the respective value for Horizontal Shear Range, Moment of Inertia of Transformed Section & Static Moment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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