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Absolute Value Function

The members s...

Question

The members shown in the diagram below are to a moment 50 kNm at joint E, the moments carried by members EA and EB are x and y respectively.
Then, 2x+y =_____kNm.

66.3

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Solution

The correct option is A 66.3
$\begin{matrix} M e m b e r & S t i f f n e s s & D i s t r i b u t i o n & M o m e n t (k N m) = D . F . \times 50 E A & \frac{4 E (2 I)}{3} = \frac{8 E I}{3} = 2.67 E I & \frac{2.67}{2.67 + 2.25 + 0.8} = 0.466 & 23.3 E B & \frac{3 E (1.5 I)}{2} = 2.25 E I & \frac{2.25}{2.67 + 2.25 + 0.8} = 0.394 & 19.7 E C & \frac{4 E I}{5} = 0.8 E I & \frac{0.8}{2.67 + 2.25 + 0.8} = 0.14 & 7 E D & 0 \end{matrix}$
$x = 23.3 y = 19.7 2 x + y = 2 \times 23.3 + 19.7 = 66.3 k N m$

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