Radius of Gyration of I Cross Section about yy Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section
kyy = 0.996*t
This formula uses 2 Variables
Variables Used
Radius of Gyration of I Section about YY Axis - (Measured in Meter) - Radius of gyration of I section about YY axis is the radius of the gyration of the I-shaped cross-section about a horizontal axis.
Thickness of Flange and Web of I Section - (Measured in Meter) - Thickness of flange and web of I section is the thickness of horizontal and vertical parts of an I section beam or a bar.
STEP 1: Convert Input(s) to Base Unit
Thickness of Flange and Web of I Section: 8 Millimeter --> 0.008 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kyy = 0.996*t --> 0.996*0.008
Evaluating ... ...
kyy = 0.007968
STEP 3: Convert Result to Output's Unit
0.007968 Meter -->7.968 Millimeter (Check conversion here)
FINAL ANSWER
7.968 Millimeter <-- Radius of Gyration of I Section about YY Axis
(Calculation completed in 00.004 seconds)

Credits

Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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11 Buckling in Connecting Rod Calculators

Critical Buckling Load on Connecting Rod by Rankine Formula
Go Critical buckling load on connecting rod = Compressive Yield Stress*Cross Sectional Area of Connecting Rod/(1+Constant used in Buckling Load Formula*(Length of Connecting Rod/Radius of Gyration of I Section about XX Axis)^2)
Whipping Stress in Connecting Rod of I Cross Section
Go Whipping Stress = Mass of Connecting Rod*Angular Velocity of Crank^2*Crank Radius of Engine*Length of the connecting rod*4.593/(1000*Thickness of Flange and Web of I Section^3)
Critical Buckling Load on Steel Connecting Rod given Thickness of Flange or Web of Connecting Rod
Go Critical buckling load on connecting rod = (261393*Compressive Yield Stress*Thickness of Flange and Web of I Section^4)/(23763*Thickness of Flange and Web of I Section^2+Length of Connecting Rod)
Maximum Force Acting on Connecting Rod given Maximum Gas Pressure
Go Force on Connecting Rod = pi*Inner Diameter of Engine Cylinder^2*Maximum pressure in engine cylinder/4
Force Acting on Connecting Rod
Go Force on Connecting Rod = Force on Piston Head/cos(Inclination of Connecting Rod with Line of Stroke)
Area Moment of Inertia for Connecting Rod Cross Section
Go Area moment of Inertia for Connecting Rod = Cross Sectional Area of Connecting Rod*Radius of Gyration for Connecting Rod^2
Critical Buckling Load on Connecting Rod Considering Factor of Safety
Go Critical buckling load on connecting rod = Force on Connecting Rod*Factor of Safety for Connecting Rod
Radius of Gyration of I Cross Section about yy Axis
Go Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section
Radius of Gyration of I Cross Section about xx Axis
Go Radius of Gyration of I Section about XX Axis = 1.78*Thickness of Flange and Web of I Section
Height of Cross Section of Connecting Rod at Middle Section
Go Height of Connecting Rod at Mid Section = 5*Thickness of Flange and Web of I Section
Width of I Cross Section of Connecting Rod
Go Width of Connecting Rod = 4*Thickness of Flange and Web of I Section

Radius of Gyration of I Cross Section about yy Axis Formula

Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section
kyy = 0.996*t

What is Moment of Inertia?

Moment of Inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force). The axis may be internal or external and may or may not be fixed. The moment of inertia (I), however, is always specified with respect to that axis and is defined as the sum of the products obtained by multiplying the mass of each particle of matter in a given body by the square of its distance from the axis. In calculating angular momentum for a rigid body, the moment of inertia is analogous to mass in linear momentum. For linear momentum, the momentum p is equal to the mass m times the velocity v; whereas for angular momentum, the angular momentum L is equal to the moment of inertia I times the angular velocity ω.

How to Calculate Radius of Gyration of I Cross Section about yy Axis?

Radius of Gyration of I Cross Section about yy Axis calculator uses Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section to calculate the Radius of Gyration of I Section about YY Axis, Radius of gyration of I cross section about yy axis is defined as the radial distance to a point from yy axis that would have a moment of inertia the same as the body's actual distribution of mass. This formula suits an I section with a Width=4*t and Height=5*t. Radius of Gyration of I Section about YY Axis is denoted by kyy symbol.

How to calculate Radius of Gyration of I Cross Section about yy Axis using this online calculator? To use this online calculator for Radius of Gyration of I Cross Section about yy Axis, enter Thickness of Flange and Web of I Section (t) and hit the calculate button. Here is how the Radius of Gyration of I Cross Section about yy Axis calculation can be explained with given input values -> 7968 = 0.996*0.008.

FAQ

What is Radius of Gyration of I Cross Section about yy Axis?
Radius of gyration of I cross section about yy axis is defined as the radial distance to a point from yy axis that would have a moment of inertia the same as the body's actual distribution of mass. This formula suits an I section with a Width=4*t and Height=5*t and is represented as kyy = 0.996*t or Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section. Thickness of flange and web of I section is the thickness of horizontal and vertical parts of an I section beam or a bar.
How to calculate Radius of Gyration of I Cross Section about yy Axis?
Radius of gyration of I cross section about yy axis is defined as the radial distance to a point from yy axis that would have a moment of inertia the same as the body's actual distribution of mass. This formula suits an I section with a Width=4*t and Height=5*t is calculated using Radius of Gyration of I Section about YY Axis = 0.996*Thickness of Flange and Web of I Section. To calculate Radius of Gyration of I Cross Section about yy Axis, you need Thickness of Flange and Web of I Section (t). With our tool, you need to enter the respective value for Thickness of Flange and Web of I 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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