Static Moment of Transformed Section 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%
✖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 of Transformed Section given Horizontal Shear Range [Q]

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Static Moment of Transformed Section given Horizontal Shear Range Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Static Moment - (Measured in Cubic Millimeter) - Static Moment of transformed compressive concrete area about neutral axis of transformed section.
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.
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.

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
Shear Range: 80 Kilonewton --> 80 Kilonewton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (S_r*I_h)/V_r --> (6.4*125)/80

Evaluating ... ...

Q = 10

STEP 3: Convert Result to Output's Unit

1E-08 Cubic Meter -->10 Cubic Millimeter (Check conversion here)

FINAL ANSWER

10 Cubic Millimeter <-- Static Moment

(Calculation completed in 00.008 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Static Moment of Transformed Section given Horizontal Shear Range Formula

LaTeX Go

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

What is Static Moment?

The static moment of a section about an axis, Y, is also termed the first moment of the area about the axis. It is the sum of the products obtained by multiplying each component of an area, A, by its distance, X, from Y.

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 Static Moment of Transformed Section given Horizontal Shear Range?

Static Moment of Transformed Section given Horizontal Shear Range calculator uses Static Moment = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Shear Range to calculate the Static Moment, The Static Moment of Transformed Section given Horizontal Shear Range is defined as a static moment of the transformed compressive concrete area about neutral axis of the transformed section. Static Moment is denoted by Q symbol.

How to calculate Static Moment of Transformed Section given Horizontal Shear Range using this online calculator? To use this online calculator for Static Moment of Transformed Section given Horizontal Shear Range, enter Horizontal Shear Range (S_r), Moment of Inertia of Transformed Section (I_h) & Shear Range (V_r) and hit the calculate button. Here is how the Static Moment of Transformed Section given Horizontal Shear Range calculation can be explained with given input values -> 1E+10 = (6400000*1.25E-10)/80000.

FAQ

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

The Static Moment of Transformed Section given Horizontal Shear Range is defined as a static moment of the transformed compressive concrete area about neutral axis of the transformed section and is represented as Q = (S_r*I_h)/V_r or Static Moment = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Shear Range. 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 & The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.

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

The Static Moment of Transformed Section given Horizontal Shear Range is defined as a static moment of the transformed compressive concrete area about neutral axis of the transformed section is calculated using Static Moment = (Horizontal Shear Range*Moment of Inertia of Transformed Section)/Shear Range. To calculate Static Moment of Transformed Section given Horizontal Shear Range, you need Horizontal Shear Range (S_r), Moment of Inertia of Transformed Section (I_h) & Shear Range (V_r). With our tool, you need to enter the respective value for Horizontal Shear Range, Moment of Inertia of Transformed Section & 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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