Horizontal Shear Range at Juncture of Slab and Beam Calculator

✖The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.ⓘ Shear Range [V_r]			+10% -10%
✖Static Moment of transformed compressive concrete area about neutral axis of transformed section.ⓘ Static Moment [Q]			+10% -10%
✖Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns.ⓘ Moment of Inertia of Transformed Section [I_h]			+10% -10%

✖The horizontal shear range at the juncture of the slab and beam at point under consideration.ⓘ Horizontal Shear Range at Juncture of Slab and Beam [S_r]

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Formula

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Horizontal Shear Range at Juncture of Slab and Beam

Formula

`"S"_{"r"} = ("V"_{"r"}*"Q")/"I"_{"h"}`

Example

`"6.4kN/mm"=("80kN"*"10mm³")/"125mm⁴"`

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Horizontal Shear Range at Juncture of Slab and Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section
S_r = (V_r*Q)/I_h
This formula uses 4 Variables

Variables Used

Horizontal Shear Range - (Measured in Kilonewton per Millimeter) - The horizontal shear range at the juncture of the slab and beam at point under consideration.
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.
Static Moment - (Measured in Cubic Millimeter) - Static Moment of transformed compressive concrete area about neutral axis of transformed section.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Range: 80 Kilonewton --> 80 Kilonewton No Conversion Required
Static Moment: 10 Cubic Millimeter --> 10 Cubic Millimeter No Conversion Required
Moment of Inertia of Transformed Section: 125 Millimeter⁴ --> 125 Millimeter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_r = (V_r*Q)/I_h --> (80*10)/125

Evaluating ... ...

S_r = 6.4

STEP 3: Convert Result to Output's Unit

6400000 Newton per Meter -->6.4 Kilonewton per Millimeter (Check conversion here)

FINAL ANSWER

6.4 Kilonewton per Millimeter <-- Horizontal Shear Range

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Technology (IIT), Bombay

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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

Horizontal Shear Range at Juncture of Slab and Beam Formula

Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section
S_r = (V_r*Q)/I_h

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 Horizontal Shear Range at Juncture of Slab and Beam?

Horizontal Shear Range at Juncture of Slab and Beam calculator uses Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section to calculate the Horizontal Shear Range, The Horizontal Shear Range at juncture of Slab and Beam is defined as shear stress for which shear connectors in bridges are designed for fatigue. Horizontal Shear Range is denoted by S_r symbol.

How to calculate Horizontal Shear Range at Juncture of Slab and Beam using this online calculator? To use this online calculator for Horizontal Shear Range at Juncture of Slab and Beam, enter Shear Range (V_r), Static Moment (Q) & Moment of Inertia of Transformed Section (I_h) and hit the calculate button. Here is how the Horizontal Shear Range at Juncture of Slab and Beam calculation can be explained with given input values -> 6.4E-6 = (80000*1E-08)/1.25E-10.

FAQ

What is Horizontal Shear Range at Juncture of Slab and Beam?

The Horizontal Shear Range at juncture of Slab and Beam is defined as shear stress for which shear connectors in bridges are designed for fatigue and is represented as S_r = (V_r*Q)/I_h or Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section. The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact, Static Moment of transformed compressive concrete area about neutral axis of transformed section & Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns.

How to calculate Horizontal Shear Range at Juncture of Slab and Beam?

The Horizontal Shear Range at juncture of Slab and Beam is defined as shear stress for which shear connectors in bridges are designed for fatigue is calculated using Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section. To calculate Horizontal Shear Range at Juncture of Slab and Beam, you need Shear Range (V_r), Static Moment (Q) & Moment of Inertia of Transformed Section (I_h). With our tool, you need to enter the respective value for Shear Range, Static Moment & Moment of Inertia of Transformed Section 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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