Concept explainers
(a)
Find the change in height and the change in volume of brass cylinder.
(a)
Answer to Problem 84P
The change in height of brass cylinder is
The change in volume of brass cylinder is
Explanation of Solution
Given information:
The young’s modulus E is
The poison ratio
The normal stress
Calculation:
Find the area of solid sphere as follows:
Here,
Substitute
Find the volume of solid sphere as follows:
Here,
Substitute
The normal stress
The normal stress
The normal stress
Write the expression of strain along y axis as follows:
Substitute 0 for
Substitute
Determine the change in height of brass cylinder using the relation:
Substitute
Thus, the change in height of brass cylinder is
Find the value of dilatation e using the relation:
Substitute 0 for
Substitute 0.33 for
Determine the change in volume of brass cylinder as follows:
Substitute
Hence, the change in volume of brass cylinder is
(b)
Find the change in height and the change in volume of brass cylinder when
(b)
Answer to Problem 84P
The change in height of brass cylinder when
The change in volume of brass cylinder when
Explanation of Solution
Calculation:
Find the value of
Write the expression of strain along y axis as follows:
Substitute 0.34 for
Determine the change in height of brass cylinder when
Substitute
Thus, the change in height of brass cylinder when
Find the value of dilatation e using the relation:
Substitute 0.34 for
Determine the change in volume of brass cylinder when
Substitute
Hence, the change in volume of brass cylinder when
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Chapter 2 Solutions
Mechanics of Materials, 7th Edition
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