Question 14.72: . Determine the vertical displacement of joint A. Each A992 ...

Determine the vertical displacement of joint A. Each A992 steel member has a cross-sectional area of 400 mm^{2}.

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Member n N L nNL
AB 1.25 50 2.5 156.25
AE -0.75 -30 1.5 33.75
BC 2.25 180 3 1215
BD -0.5 \sqrt{13} -50 \sqrt{13} \sqrt{13} 1171.8
BE 0 60 2 0
DE -0.75 -30 3 67.5
\sum = 2644.30
1 \cdot \Delta_{A_{v}} =\Sigma \frac{n N L}{A E} \\\Delta_{A_{r}} =\frac{2644.30\left(10^{3}\right)}{400\left(10^{-6}\right)(200)\left(10^{9}\right)}=0.0331 m =33.1 mm
2

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