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A rolled steel joist is simply supported at its ends and...

This question belongs to Civil Engineering Theory Of Structures
Theory of Structures
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A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,

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Correct Answer: Option D
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2 Comments
Aziz Panna
Aziz Panna 6 years ago
Given, slope = 0.002 rad
And deflection= 10 mm
If Simply Supported beam carries UDL ,
then Slope = WL^3 / 24 EI
And deflection = 5 WL^4 / 384 EI =10 mm (given)
=》 (5 L / 16) * WL^3 /24 = 10 mm
=》 (5L/16) * 0.002 = 10 mm
=》 L = (10*16) / (5*0.002) = 16000 mm
So, L = 16 m

Ashna Aliyar
Ashna Aliyar 7 years ago
P
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