Situation #4: Steel railroad rails 12 m long are laid with a clearance 4 mm at a temperature of 8°C. At what temperature will the rails just touch? What stress would be induced in the rails at that temperature if there were no initial clearance? Assume a =11.7 um/m°C and E = 200 GPa. %3D

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
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Subject: Strength of Materials

Situation #4: Steel railroad rails 12 m long are laid
with a clearance 4 mm at a temperature of
8°C. At what temperature will the rails just
touch? What stress would be induced in the
rails at that temperature if there were no
initial clearance? Assume a =11.7 um/m°C
and E = 200 GPa.
%3D
Transcribed Image Text:Situation #4: Steel railroad rails 12 m long are laid with a clearance 4 mm at a temperature of 8°C. At what temperature will the rails just touch? What stress would be induced in the rails at that temperature if there were no initial clearance? Assume a =11.7 um/m°C and E = 200 GPa. %3D
Thermal Stresses Sample Proelem #i
a steel hod is stretched
6-メLat
6-etween fwo Migid walls
ard carries a fer Sile
load 4 sonN at Jö°c.
/f he allowable frees
is uf to exceed
130 MPa ay-ə0'c, mfat
is the minimum
d- Coef. H linear aiameter f the pod?
where
O-linear
de formation
due to temp.
expansion or
L- length
contraction (m ard E> a G Aa,
Oraing
At - change in
temperature
8= PL
AE
Solu tion
S7= S + 8
%3D
df st + Pt
/ E,
8- expansion or
confraction due Joolo?1
%3D
to loae
13
17
A=
d= 13. 22 mm
= 137. 6 mm
Transcribed Image Text:Thermal Stresses Sample Proelem #i a steel hod is stretched 6-メLat 6-etween fwo Migid walls ard carries a fer Sile load 4 sonN at Jö°c. /f he allowable frees is uf to exceed 130 MPa ay-ə0'c, mfat is the minimum d- Coef. H linear aiameter f the pod? where O-linear de formation due to temp. expansion or L- length contraction (m ard E> a G Aa, Oraing At - change in temperature 8= PL AE Solu tion S7= S + 8 %3D df st + Pt / E, 8- expansion or confraction due Joolo?1 %3D to loae 13 17 A= d= 13. 22 mm = 137. 6 mm
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