Rautatien kiskoja asennetaan paikalleen 10 m pitkinä komponentteina, joiden välissä on lämpövenymäväli 5. Kiskon poikkipinta-ala on 3000 mm². Teräskiskon kimmomoduli E = 200 GPa ja lämpölaajenemiskerroin α = 12(10-6)1/°C. Määritä: a) mikä on ko. välin oltava, mikäli lämpötila-alue on T₁ = -20°C -> T₂ = 35°C b) mikä on aksiaalivoima, jos lämpötila nousee arvoon T3 = 45°C. Mikä on siis puristava normaalijännitys? 10 m
Rautatien kiskoja asennetaan paikalleen 10 m pitkinä komponentteina, joiden välissä on lämpövenymäväli 5. Kiskon poikkipinta-ala on 3000 mm². Teräskiskon kimmomoduli E = 200 GPa ja lämpölaajenemiskerroin α = 12(10-6)1/°C. Määritä: a) mikä on ko. välin oltava, mikäli lämpötila-alue on T₁ = -20°C -> T₂ = 35°C b) mikä on aksiaalivoima, jos lämpötila nousee arvoon T3 = 45°C. Mikä on siis puristava normaalijännitys? 10 m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Railway tracks are installed in 10-meter-long sections with an expansion gap δ\deltaδ between them. The cross-sectional area of the steel rail is 3000 mm². The modulus of elasticity of the steel rail is E=200E = 200E=200 GPa, and the coefficient of thermal expansion is α=12×10−6 1/∘C\alpha = 12 \times 10^{-6} \, 1/^\circ Cα=12×10−61/∘C.
Determine the following:
a) What should the expansion gap δ\deltaδ be if the temperature range is from T1=−20∘CT_1 = -20^\circ CT1=−20∘C to T2=35∘CT_2 = 35^\circ CT2=35∘C?
b) What is the axial force in the rail if the temperature rises to T3=45∘CT_3 = 45^\circ CT3=45∘C? What is the corresponding compressive normal stress?
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