A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to Table 4.1)(a) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3?(b) How much pressure was applied to the copper rod? (c) Calculate the percent change in volume of the copper rod. TABLE 4.1Typical Values for Bulk Modulus, BSubstanceYoung's Modulus, Y Shear Modulus, SBulk Modulus, B(Ра)7 х 10101.8 х 10 10(Pa)2.5 x 10 10(Pa)Aluminum7x 10 10Bone8x 10 10Brass9.1 x 10 103.5 х 1010x 10 10x 10 10x 10 106.1Copper11 х 10 104.2 х 10 1014Steel20 x 10 108.4 x 10 1016TungstenGlass35 х 10 106.5 to 7.8 x 10 10x 10 102.6 to 3.2 x 10 101420X 10 105 to 5.5 x 10 10Quartz5.6 х 10 102.6x 10 102.7x 10 10Rib Cartilage1.2 x 107Rubber0.1 x 107Tendon2 х 107Waterx 10 10x 10 100.21Mercury2.8Source: Physics Fundamentals 1 (p. 320) by RA Serway and C. Vuille, ©2012 Cengage Learning Asia Ltd

Solution;-Given that copper cylinderlength of copper cylinder=1.5mdiameter of cylinder=4 cma)Bulk…

Answered: A copper cylinder with a length of 1.5…

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Author:KASSIMALI, Aslam.

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Chapter2: Loads On Structures

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A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to Table 4.1) (a) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3? (b) How much pressure was applied to the copper rod? (c) Calculate the percent change in volume of the copper rod.

TABLE 4.1
Typical Values for Bulk Modulus, B
Substance
Young's Modulus, Y Shear Modulus, S
Bulk Modulus, B
(Ра)
7 х 1010
1.8 х 10 10
(Pa)
2.5 x 10 10
(Pa)
Aluminum
7
x 10 10
Bone
8
x 10 10
Brass
9.1 x 10 10
3.5 х 1010
x 10 10
x 10 10
x 10 10
6.1
Copper
11 х 10 10
4.2 х 10 10
14
Steel
20 x 10 10
8.4 x 10 10
16
Tungsten
Glass
35 х 10 10
6.5 to 7.8 x 10 10
x 10 10
2.6 to 3.2 x 10 10
14
20
X 10 10
5 to 5.5 x 10 10
Quartz
5.6 х 10 10
2.6
x 10 10
2.7
x 10 10
Rib Cartilage
1.2 x 107
Rubber
0.1 x 107
Tendon
2 х 107
Water
x 10 10
x 10 10
0.21
Mercury
2.8
Source: Physics Fundamentals 1 (p. 320) by RA Serway and C. Vuille, ©2012 Cengage Learning Asia Ltd

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