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