Civil Engineering - GATE Exam Questions - Discussion

49. 

The members EJ and IJ of steel truss shown in the figure below are subjected to a temperature rise of 30° C. The coefficient of thermal expansion of steel is 0.000012 per °C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of the truss, is

[A]. 0.255
[B]. 0.589
[C]. 0.764
[D]. 1.026

Answer: Option C

Explanation:

No answer description available for this question.

Sathya said: (Sep 23, 2015)  
How it will come?

Revathi said: (Sep 23, 2016)  
What is the formula?

A- Hidar said: (Aug 14, 2017)  
Stresses due to thermal expansion = Esteel *α * T = 2.10*10^5 * 0.000012 * 30 = 75.6 Mpa.

Displacement between two point E, H is diagonal JG which has length = 4.24 m.
Displacement = F*L/AE = stresses * (L/E) = 75.60 MPA * 4240 / 2.1 * 10^5 = 1.5264 mm in Diagonal which expansion tow joint E,H 1.52/2 = 0.763 mm.

Abc said: (Apr 2, 2018)  
@Hidar.

Can you please explain why expansion at E, H is taken as half?

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