A steel rail AB is laid between two adjacent rails with a gap ∆ to accommodate thermal expansion (Fig. 1).(a) What is the gap ∆ needed to ensure that the rails touch one another without transmitting any force if the temperature is raised from T1 = −15◦F to T2 = 95◦F?(b) On a particularly hot day, the temperature rises to T3 = 115◦F, which results in a force P in the rails. Calculate the force.(c) What should be the minimum second moment of area I to ensure that the column does not buckle under the force P calculated in (b) above? Assume pin-jointed support at both ends of the rail.TakeE=30×103 ksi,α=6.5×10−6/◦F,andA=5.0in2. A steel rail AB is laid between two adjacent rails with a gap A to accommodate thermalexpansion (Fig. 1).(a) What is the gap A needed to ensure that the rails touch one another without transmittingany force if the temperature is raised from T1-15°F to T2 = 95°F?(b) On a particularly hot day, the temperature rises to T3P in the rails. Calculate the force.115°F, which results in a force(c) What should be the minimum second moment of area I to ensure that the column doesnot buckle under the force P calculated in (b) above? Assume pin-jointed support atboth ends of the rail.Take E = 30 × 103 ksi, a = 6.5 × 10-6/°F, and A = 5.0 in?.A30 ft

Given, Young's modulus E=30×103Ksi coefficient of thermal expansion (α)=6.5×10-6/°F Area of the rail…

Answered: A steel rail AB is laid between two…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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A steel rail AB is laid between two adjacent rails with a gap ∆ to accommodate thermal expansion (Fig. 1).
(a) What is the gap ∆ needed to ensure that the rails touch one another without transmitting any force if the temperature is raised from T1 = −15◦F to T2 = 95◦F?
(b) On a particularly hot day, the temperature rises to T3 = 115◦F, which results in a force P in the rails. Calculate the force.
(c) What should be the minimum second moment of area I to ensure that the column does not buckle under the force P calculated in (b) above? Assume pin-jointed support at both ends of the rail.
TakeE=30×103 ksi,α=6.5×10−6/◦F,andA=5.0in2.

A steel rail AB is laid between two adjacent rails with a gap A to accommodate thermal
expansion (Fig. 1).
(a) What is the gap A needed to ensure that the rails touch one another without transmitting
any force if the temperature is raised from T1
-15°F to T2 = 95°F?
(b) On a particularly hot day, the temperature rises to T3
P in the rails. Calculate the force.
115°F, which results in a force
(c) What should be the minimum second moment of area I to ensure that the column does
not buckle under the force P calculated in (b) above? Assume pin-jointed support at
both ends of the rail.
Take E = 30 × 103 ksi, a = 6.5 × 10-6/°F, and A = 5.0 in?.
A
30 ft

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