Tutorial 8 slides

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VDB 1023 Engineering Mechanics Tutorial 8 Centroid and Moments of Inertia

Transcript of Tutorial 8 slides

  • VDB 1023

    Engineering Mechanics

    Tutorial 8

    Centroid and

    Moments of Inertia

  • Calculate the distance y to the centroid, C of the cross-section.

    (all dimensions are in mm)

    y

    y

    x

    C x

    50

    40 60

    20

    10

    10

    10

    Problem 1

  • Moment of Inertia

    Second Moment of area

    Ay

    Ax

    dAxI

    dAyI

    2

    2

  • Problem 2

  • Solution

  • Problem 3

  • Solution

  • Common shapes and their inertia about centroildal axis

  • Problem 4

    Determine the Moment of Inertia of the composite section about the centroidal axis x.

  • Centroid:

    Moment of Inertia:

    Solution

  • Problem 5

  • Solution

  • Problem 6

    y

    y

    x

    C

    x

    50

    35

    10

    50

    35 20 20

    10

    10 10

    Calculate the distance y to the centroid, C of the cross-section and find the moment of inertia about x axis

    Will be done in the Tute.

  • Calculate the moment of Inertia of the composite

    cross-section about its centroid axis x , C of the cross-section.

    (all dimensions are in mm)

    y

    y

    x

    C x

    50

    40 60

    20

    10

    10

    10

    Problem 7

  • Solution

    Do it Yourself

    Need to submit in next weeks tutorial