[20分]力學young's modulus
2008-10-07 10:12 pm
a hollow steel tube 100mm external diamter and 80mm internal diameter anda 3m long is subjected to a tensile load of 400 kN.Calculate the stress in the material and the amount the tube streches if young's modulus is 200000N/mm^2.
回答 (1)
2008-10-07 10:27 pm
✔ 最佳答案
Stress = F/AStrain = e/l
Base surface area, A = pi(0.1/2)2 - pi(0.08/2)2 = 2.83 X 10-3 m2
Stress = F/A = (400 X 103) / (2.83 X 10-3) = 1.41 X 108 Pa
Young modulus, E = 200 000 Nmm-2 = 2 X 1011 Nm-2
Mathematically,
Young modulus = Stress / Strain
E = (F/A)/(e/l)
e = (F/A)(l/E)
e = (1.41 X 108)[3/(2 X 1011)]
Extension, e = 2.12 X 10-3 m = 2.12 mm
參考: Myself~~~
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https://hk.answers.yahoo.com/question/index?qid=20081007000051KK01169