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

✖The horizontal shear range at the juncture of the slab and beam at point under consideration.ⓘ Horizontal Shear Range [S_r]			+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%
✖Static Moment of transformed compressive concrete area about neutral axis of transformed section.ⓘ Static Moment [Q]			+10% -10%

✖The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.ⓘ Shear Range due to Live and Impact Load given Horizontal Shear Range [V_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Composite Construction in Highway Bridges Formulas PDF PDF Image

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
V_r = (S_r*I_h)/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

V_r = (S_r*I_h)/Q --> (6.4*125)/10

Evaluating ... ...

V_r = 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)

You are here -

Home » Engineering » Civil » Bridge and Suspension Cable » Composite Construction in Highway Bridges » Shear Range » Shear Range due to Live and Impact Load given Horizontal Shear Range

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Shear Range Calculators

Moment of Inertia of Transformed Section given Horizontal Shear Range

LaTeX 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

LaTeX Go Shear Range = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Static Moment

Static Moment of Transformed Section given Horizontal Shear Range

LaTeX Go Static Moment = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Shear Range

Horizontal Shear Range at Juncture of Slab and Beam

LaTeX Go Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section

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

LaTeX Go

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

Home

FREE PDFs

🔍 Search