The rigid bar is pinned at A and supported by two aluminum rods, each having a diameter of 1 in. a modulus of elasticity Eal = 10(103) ksi, and yield stress of (sY)al = 40 ksi. If the bar is initially vertical, determine the angle of tilt of the bar when the 20-kip load is applied.

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answer :

1.47°

Explanation:

First we have to determine the displacement

first : apply law of similar triangles

Scd / 1 = Sef / 3

Fcd ( displacement ) = 3Fef - 80

                                  = 3(30) - 80 = 10 kip

angle of tilt ( θ ) = cos^-1 ( 1 / 10 )

                          = cos^-1 ( 0.1 ) =  1.47°

attached below is the detailed solution on the displacement value

15.3 cos 65 degrees trig

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