(a) Derive elements N2, B2 and k22 of the interpolation [N], strain-displacement [B] and stiffness [k] matrices respecti

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A Derive Elements N2 B2 And K22 Of The Interpolation N Strain Displacement B And Stiffness K Matrices Respecti 1 (64.6 KiB) Viewed 38 times

(a) Derive elements N2, B2 and k22 of the interpolation [N], strain-displacement and stiffness [k] matrices respectively of the 3-node bar element with parabolic shape functions of Figure Qla. (b) The uniform bar of Figure Qlb with rigidity EA is fixed at both ends, and carries a linear distributed axial load q=2x along its full length L. Determine the displacement at the middle of the bar using the 3-node bar element with parabolic shape functions of Figure Qla. Х EA = constant L/2 L/2 Figure Q1a q=2x EA = constant L/2 L2 키 Figure Q1b Answer: 13 U2 = 8EA