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example_I_6_01

example_I_6_01 - Solution From mechanics of materials we...

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Example 1 - flexibility matrix for cantilevered beam Consider a homogeneous, clamped beam having a length of 3L and flexural rigidity of EI. Find the flexibility matrix for the beam using the transverse deflections at the three particles as generalized coordinates.
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Unformatted text preview: Solution From mechanics of materials, we know that the deflection at x, u(x), due to a force F applied at location a is given by: u(x) = F 6EI [2a 3- 3a 2 (a - x) + (a - x) 3 ] ; x a L/3 L/3 L/3 F u(x) x a...
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