HomePhysicsClassical MechanicsMoment of Inertia of a Rectangle
Print

Moment of Inertia of a Rectangle

on . Posted in Classical Mechanics

moment of inertia Rectangle 1moment of inertia Rec Plane 9

Moment of Inertia of a Rectangle Index

 

 

 

 

Moment of Inertia of a Rectangle Formulas, Solid Plane, z Axis

\( I_z = \frac {1}{12}\; m \; \left( l^2  + w^2 \right)  \) 

\( I_z = \frac {1}{12} \;l\;w \; \left( l^2  + w^2 \right)  \) 

\( I_{z1} = \frac {1}{12}\;m \; \left( 4\;l^2  + w^2 \right) \) 
Symbol English Metric
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( l \) = length \( in \) \( mm \)
\( m \) = mass \( lbm \) \( kg \)
\( w \) = width \( in \) \( mm \)

 

Moment of Inertia of a Rectangle Formulas, Solid Plane, x Axis

\( I_x = \frac {1}{12}\; l\;w^3 \) 

\( I_x = \frac {1}{12}\; m \; l^2 \)  

\( I_{x1} = \frac {1}{3}\; l\;w^3 \) 

\( I_{x1} = \frac {1}{3}\; m \; w^2 \)
Symbol English Metric
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( l \) = length \( in \) \( mm \)
\( m \) = mass \(\large{ lbm }\) \(\large{ kg }\)
\( w \) = width \( in \) \( mm \)

  

Moment of Inertia of a Rectangle Formulas, Solid Plane, y Axis

\( I_y = \frac {1}{12}\; l^3\;w \) 

\( I_{y1} = \frac {1}{3}\; l^3\;w \) 
Symbol English Metric
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( l \) = length \( in \) \( mm \)
\( w \) = width \( in \) \( mm \)

  

Moment of Inertia of a Rectangle Formula, Hollow Core Plane, x Axis
\( I_x =  ( l\;w^3\;/\;12 ) - ( l_1\;w_1{^3}  \;/\; 12 )  \) 
Symbol English Metric
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( l \) = length \( in \) \( mm \)
\( l_1 \) = length \( in \) \( mm \)
\( w \) = width \( in \) \( mm \)
\( w_1 \) = width \( in \) \( mm \)

 

Moment of Inertia of a Rectangle Formula, Hollow Core Plane, Y Axis
\( I_y =  ( l^3\;w\;/\;12 ) -  ( l_1{^3} w_1\;/\;12 ) \) 
Symbol English Metric
\( I \) = moment of inertia \(lbm\;/\;ft^2-sec\) \(kg\;/\;m^2\)
\( l \) = length \( in \) \( mm \)
\( l_1 \) = length \( in \) \( mm \)
\( w \) = width \( in \) \( mm \)
\( w_1 \) = width \( in \) \( mm \)

 

Piping Designer Logo 1

 

 

Tags: Moment of Inertia Rectangle

Latest Articles