ons 4.6 Lecture Example 2: The solenoid current heats rod CD from T= 30°C to Ty-180 °C. The steel end rods AB and EF are heated from T3= 30 °C to Ty-50 °C. At T1, the gap between Cand the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the heating. 0.7 mm AB & EF: steel CD: aluminum Task: BLO Est=200 GPa EaF70 GPa Find fur ce steel AR as=23(10)/"C on steel rods Bad F or Ae EE und FAL a=12(10/°C 240 mm 300 mm Steel As=125mm? AF375mm? Giver: ATSE = 50- 80 = 20°G ATal z 180 - 3o = + 150' 4 FBD rigid buf Sulwe; Fst =F= 1-85 KM Fac = 3it KN +| EFy=0= Fil -2F/O FAR Compatibiuity Cendition Sst = Sae - 0.7 × 10-3 - Fal Lal Eul Aal K 5t A Tot hst + FLit = aalATal Lal t -0.7x10 e Est Ast - 3 = 0. 072 A lO 12 x(5 6/04 (4 20°C)a.gm= 7ex 106.

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Engr225
Lecture Examples, Sections 4.6
Lecture Example 2: The solenoid current heats rod CD from T= 30°C to T=180 °C. The steel end rods
AB and EF are heated from T1= 30 °C to Ty=50 °C. At T, the gap between Cand the rigid bar is 0.7 mm.
Determine the force in rods AB and EF caused by the heating.
0.7 mm
AB & EF: steel
CD: aluminum
Task:
BLO
steel
Est=200 GPa
EaF70 GPa
C
AR
Find Fur Ce
ax=12(10)/°C
aa-23(10/°C on steel ods
on Steel rods
aad F on AR steel
und FAL
240 mm 300 mm
A=125mm
AF375mm?
Giver:
ATSE = 50- 80 = 20°c
Ale
st
ATal = 180 - 30 = + 150° 4
FBD rigid bul
Sulve, Est =F= 1- 85 KA
Fac = 3it KM
+| EFy=0= Fl - 2 F O
FAe
Compatibility Condition
Sst = Sae - 0.7 × 10-3
- Fal Lal
K st A 'st Lst +
FLit = t
dal ATal Lal
-0.7x10 e
%3D
Eul Aal
Est Ast
= 0.072 A 0 m
12 x (0°662 (4 20°a)0gm= 72x 106m
Agrafes ancat
Transcribed Image Text:Engr225 Lecture Examples, Sections 4.6 Lecture Example 2: The solenoid current heats rod CD from T= 30°C to T=180 °C. The steel end rods AB and EF are heated from T1= 30 °C to Ty=50 °C. At T, the gap between Cand the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the heating. 0.7 mm AB & EF: steel CD: aluminum Task: BLO steel Est=200 GPa EaF70 GPa C AR Find Fur Ce ax=12(10)/°C aa-23(10/°C on steel ods on Steel rods aad F on AR steel und FAL 240 mm 300 mm A=125mm AF375mm? Giver: ATSE = 50- 80 = 20°c Ale st ATal = 180 - 30 = + 150° 4 FBD rigid bul Sulve, Est =F= 1- 85 KA Fac = 3it KM +| EFy=0= Fl - 2 F O FAe Compatibility Condition Sst = Sae - 0.7 × 10-3 - Fal Lal K st A 'st Lst + FLit = t dal ATal Lal -0.7x10 e %3D Eul Aal Est Ast = 0.072 A 0 m 12 x (0°662 (4 20°a)0gm= 72x 106m Agrafes ancat
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