1. STATICS (ENGINEERING MECHANICS-I)
بسم الله الرحمن الرحيم
STATICS (ENGINEERING MECHANICS-I)
Area moment of Inertia-Problems
This is a title slide.
February 1, 2019

2. Problem-1
Determine the moments of inertia of the triangular area about:
The base,
The parallel axis passing through its centroid,
The parallel axis passing through its vertex,
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3. Solution
2/1/2019

4. Problem-2
For the shaded area and the strip shown in the two figures, calculate the moment of Inertia and radius of gyration about the x-axis (i.e. Ix and rx) x
6 m
y = x2 / 12
3 m y x
6 m
y = x2 / 12
3 m y
February 1, 2019

5. Solution x
6 m
y = x2 / 12
3 m y
February 1, 2019

6. Solution (Contd.) x
6 m
y = x2 / 12
3 m y
February 1, 2019

7. Problem-3
Calculate the moments of inertia of the area of a circle about a diametral axis and about the polar axis through the center. Specify the radii of gyration.
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8. Solution
2/1/2019

9. Moment of Inertia of Composite Areas
Important Formulas
February 1, 2019

10. Problem-4
Determine the moment of inertia of the shaded area about the x-axis.
20 mm y
100 mm
170 mm x
50 mm O
February 1, 2019

11. Solution
20 mm y
100 mm
170 mm x
50 mm O 1 2 3
February 1, 2019