tailieunhanh - Material Science_ Vol 1 of 2 - US DOE (1993) WW Part 9

Tham khảo tài liệu 'material science_ vol 1 of 2 - us doe (1993) ww part 9', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Properties of Metals DOE-HDBK-1017 1-93 YOUNG S MODULUS We can now see that Young s Modulus may be easily calculated provided that the stress and corresponding unit elongation or strain have been determined by a tensile test as described previously. Strain e is a number representing a ratio of two lengths therefore we can conclude that the Young s Modulus is measured in the same units as stress ơ that is in pounds per square inch. Table 1 gives average values of the Modulus E for several metals used in DOE facilities construction. Yield strength and ultimate strength will be discussed in more detail in the next chapter. TABLE 1 Properties of Common structural Materials E psi Yield Strength psi Ultimate Strength psi Aluminum x 107 x 104 to x 104 x 104 to x 104 Stainless Steel x 107 x 104 to x 104 x 104 to 10 x 104 Carbon Steel x 107 x 104 to x 104 x 104 to x 104 Example What is the elongation of 200 in. of aluminum wire with a square in. area if it supports a weight of 100 lb Solution s -P_ 2-8 AE 100 lb 200 in. x 107 lb s in. Rev. 0 Page 13 MS-02 YOUNG S MODULUS DOE-HDBK-1017 1-93 Properties of Metals Summary The important information in this chapter is summarized below. Young s Modulus Summary Hooke s Law states that in the elastic range of a material strain is proportional to stress. It is measured by using the following equation 8 AE Young s Modulus Elastic Modulus is the ratio of stress to strain or the gradient of the stress-strain graph. It is measured using the following equation E e MS-02 Page 14 Rev. 0 Properties of Metals DOE-HDBK-1017 1-93 STRESS-STRAIN RELATIONSHIP STRESS-STRAIN RELATIONSHIP Most polycrystalline materials have within their elastic range an almost constant relationship between stress and strain. Experiments by an English scientist named Robert Hooke led to the formation of Hooke s Law which states that in the elastic range of a material strain is .

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