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Compute the bending stiffness of a cantilever i-beam

Solve the following problem:

Compute the torsional stiffness (GJR) of the beam in Example 1.

Example 1:

Compute the bending stiffness of a cantilever I-beam (Figure ) of length L = 30 cm, subjected to a tip-shear force V_{z} = 445 N. The dimensions of the beam are: h = 2.5 cm, b = h/2, t = h/16. The material is Kevlar-epoxy with the following elastic constants: E_{1} = 76.0 GP a, E_{2} = 5.56 GP a, G_{12} = 2.30 GP a, ν_{12} = 0.34. The lay-up sequence is [±30/0]S, six laminae (n = 6), with lamina thickness t_{k} = t/6.

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