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Determine .Displacement at each node.

Consider the truss shown in figure.Given E = 210 GPa and cross section area A = 1 $cm^2$ for each element. Determine

  1. Displacement at each node.

  2. Stresses induced in each element.

  3. Reaction at supports

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Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 10M

Year: May 2015

1 Answer
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enter image description here

$E = 210 GPa = 210 \times 10^3 N/mm^2\\ A = 1 cm^2 = 100 mm^2$

Sine rule,

$\frac{1000}{sin 105} = \frac{L_1}{sin 45} = \frac{L_2}{sin 30}\\ L_1 = 732.05 mm \\ L_2 = 517.638 mm$

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Item no. Nodes L A $\theta$ C S CS $C^2$ $S^2$ $\frac{AE}{L}$
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