Moment of Inertia of Transformed Section given Horizontal Shear Range Calculator

✖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 [V_r]			+10% -10%
✖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 given Horizontal Shear Range [I_h]

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Moment of Inertia of Transformed Section given Horizontal Shear Range Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Static Moment: 10 Cubic Millimeter --> 10 Cubic Millimeter No Conversion Required
Shear Range: 80 Kilonewton --> 80 Kilonewton No Conversion Required
Horizontal Shear Range: 6.4 Kilonewton per Millimeter --> 6.4 Kilonewton per Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_h = (Q*V_r)/S_r --> (10*80)/6.4

Evaluating ... ...

I_h = 125

STEP 3: Convert Result to Output's Unit

1.25E-10 Meter⁴ -->125 Millimeter⁴ (Check conversion here)

FINAL ANSWER

125 Millimeter⁴ <-- Moment of Inertia of Transformed Section

(Calculation completed in 00.020 seconds)

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< 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

Moment of Inertia of Transformed Section given Horizontal Shear Range Formula

LaTeX Go

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

What is Moment of Inertia?

The moment of inertia about any point or axis is the product of the area and the perpendicular distance between the point or axis to the center of gravity of the area. This is called the first moment of area.

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 Moment of Inertia of Transformed Section given Horizontal Shear Range?

Moment of Inertia of Transformed Section given Horizontal Shear Range calculator uses Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range to calculate the Moment of Inertia of Transformed Section, The Moment of Inertia of Transformed Section given Horizontal Shear Range is defined as second moment of area for a composite section using modular ratio. Moment of Inertia of Transformed Section is denoted by I_h symbol.

How to calculate Moment of Inertia of Transformed Section given Horizontal Shear Range using this online calculator? To use this online calculator for Moment of Inertia of Transformed Section given Horizontal Shear Range, enter Static Moment (Q), Shear Range (V_r) & Horizontal Shear Range (S_r) and hit the calculate button. Here is how the Moment of Inertia of Transformed Section given Horizontal Shear Range calculation can be explained with given input values -> 1.3E+14 = (1E-08*80000)/6400000.

FAQ

What is Moment of Inertia of Transformed Section given Horizontal Shear Range?

The Moment of Inertia of Transformed Section given Horizontal Shear Range is defined as second moment of area for a composite section using modular ratio and is represented as I_h = (Q*V_r)/S_r or Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range. Static Moment of transformed compressive concrete area about neutral axis of transformed section, The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact & The horizontal shear range at the juncture of the slab and beam at point under consideration.

How to calculate Moment of Inertia of Transformed Section given Horizontal Shear Range?

The Moment of Inertia of Transformed Section given Horizontal Shear Range is defined as second moment of area for a composite section using modular ratio is calculated using Moment of Inertia of Transformed Section = (Static Moment*Shear Range)/Horizontal Shear Range. To calculate Moment of Inertia of Transformed Section given Horizontal Shear Range, you need Static Moment (Q), Shear Range (V_r) & Horizontal Shear Range (S_r). With our tool, you need to enter the respective value for Static Moment, Shear Range & Horizontal Shear Range 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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