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Concept explainers
A cylindrical cast-iron casting has an axial bole extending partway through the casting, as shown. Locate the center of gravity of the casting.
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The location of the center of gravity of the casting.
Answer to Problem 7.1P
Explanation of Solution
Given information:
Given a cylindrical cast iron casting having an axial hole extending pathway through the casting.
The centroid of a body can be found with two axes taken into consideration. As, the given figure is symmetrical about X-axis, so the centroid must lie on the X-axis. Now, by calculating the weight of the given member with reference to densities taken from U S Customary codes for typical average properties of some common materials. Thereby, in reference to the codes the weight of cast iron is taken as
Calculation:
Let W1the weight of the whole cylinder and W2 the weight of the empty space considering its density same as that of the cast iron.
Now we have,
Conclusion:
Therefore, the location of center of gravity of the casting is
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Applied Statics and Strength of Materials (6th Edition)
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