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 = (Sr*Ih)/Vr
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 = (Sr*Ih)/Vr --> (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 00.004 seconds)

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!

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

Static Moment of Transformed Section given Horizontal Shear Range Formula

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

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 (Sr), Moment of Inertia of Transformed Section (Ih) & Shear Range (Vr) 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 = (Sr*Ih)/Vr 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 (Sr), Moment of Inertia of Transformed Section (Ih) & Shear Range (Vr). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!