7/25/2019 GEB1211_Engineeing Mechanics_ Tutorial Module - 4

1/3

B.S.ABDUR RAHMAN UNIVERSITY CHENNAI 48

DEPARTMENT OF MECHANICAL ENGINEERING

GEB 1211 BASIC ENGINEERING MECHANICS

TUTORIAL QUESTIONS MODULE 4

1. Locate the centroid of the plane area shown in fig.1 and fig. 2.

Figure1 Figure2

2. Determine the location of the centroidal axis of the beams cross-sectional area asshown in fig.2 and figure 3.

Figure3 Figure4

7/25/2019 GEB1211_Engineeing Mechanics_ Tutorial Module - 4

2/3

3. Determine the location of the centroid of the beams cross sectional area as shownbelow. Neglect the size of the corner welds at A and B for the calculation.

Figure5 Figure6

4. Determine the moment of inertia of the shaded area with respect to the centroidal x and yaxis as shown in fig.7 and fig. 8.

Take a = 40 mmFigure7 Figure8

7/25/2019 GEB1211_Engineeing Mechanics_ Tutorial Module - 4

3/3

5. Determine the moments of inertia with respect to centroidal x and y axis for theplane figures shown in fig. 9 and fig.10.

Figure9 Figure10

6. Determine the product of inertia for the beams crosssectional shown below.

Small Questions

1. Define centroid and centre of gravity.2. Define moment of inertia.3. Define radius of gyration.4. What is meant by parallel axis theorem?5. Define perpendicular axis theorem.6. What is meant by polar moment of inertia?