Radius of Gyration of I Cross Section about xx Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Gyration of I Section About XX Axis = 1.78*Thickness of Flange And Web of I Section
kxx = 1.78*t
This formula uses 2 Variables
Variables Used
Radius of Gyration of I Section About XX Axis - (Measured in Meter) - Radius of gyration of I section About xx axis is the radius of 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
kxx = 1.78*t --> 1.78*0.008
Evaluating ... ...
kxx = 0.01424
STEP 3: Convert Result to Output's Unit
0.01424 Meter -->14.24 Millimeter (Check conversion ​here)
FINAL ANSWER
14.24 Millimeter <-- Radius of Gyration of I Section About XX Axis
(Calculation completed in 00.004 seconds)

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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 the 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 Steel 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 the 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 xx Axis Formula

Radius of Gyration of I Section About XX Axis = 1.78*Thickness of Flange And Web of I Section
kxx = 1.78*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 xx Axis?

Radius of Gyration of I Cross Section about xx Axis calculator uses Radius of Gyration of I Section About XX Axis = 1.78*Thickness of Flange And Web of I Section to calculate the Radius of Gyration of I Section About XX Axis, Radius of gyration of I cross section about xx axis is defined as the radial distance to a point from xx 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 XX Axis is denoted by kxx symbol.

How to calculate Radius of Gyration of I Cross Section about xx Axis using this online calculator? To use this online calculator for Radius of Gyration of I Cross Section about xx 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 xx Axis calculation can be explained with given input values -> 14240 = 1.78*0.008.

FAQ

What is Radius of Gyration of I Cross Section about xx Axis?
Radius of gyration of I cross section about xx axis is defined as the radial distance to a point from xx 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 kxx = 1.78*t or Radius of Gyration of I Section About XX Axis = 1.78*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 xx Axis?
Radius of gyration of I cross section about xx axis is defined as the radial distance to a point from xx 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 XX Axis = 1.78*Thickness of Flange And Web of I Section. To calculate Radius of Gyration of I Cross Section about xx 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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