E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx1

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Bruce Mayer, PELicensed Electrical & Mechanical Engineer

BMayer@ChabotCollege.edu

Engineering 25

Tutorial: Areal

Moment of Inertia

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx2

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

Parallogram IC Determine the moment of

inertia for the parallelogram about the y’ axis, which passes through the centroid C of the area in terms of a, b, and θ.

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx3

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx4

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx5

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx6

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx7

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx8

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

MuPAD WorkBook

E ENGR36_Tutorial_Areal_Moment_of_Inertia.pptx9

Bruce Mayer, PE Engineering-36: Engineering Mechanics - Statics

MATLAB Results>> Q = 53Q = 53>> a = 7a = 7>> b = 11b = 11>> e = a*cosd(Q)e = 4.2127>> h = a*sind(Q)h = 5.5904>> ICy = b*h*(b^2+e^2)/12ICy = 711.0192