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Lect 15: Moment of Inertia Dr. Feras Fraige Engineering Mechanics AGE 2330

Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

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Page 1: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Lect 15: Moment of Inertia

Dr. Feras Fraige

Engineering MechanicsAGE 2330

Page 2: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Moment of Inertia Def.

Page 3: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Radius of gyration

Page 4: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Transfer of Axes

Page 5: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 6: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 7: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 8: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Composite Areas

• In order to evaluate the moment of inertia of planar areas, evaluate the following table

• And calculate the Ix and Iy as follows:

Page 9: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 10: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 11: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

Page 12: Engineering Mechanics AGE 2330 - KSUfac.ksu.edu.sa/sites/default/files/lect_15_moment_of_inertia.pdfcentroid, a distance h/3 above the x-axis, is bh3 bh3 12 36 A transfer from the

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