Answer to Question #274728 in Mechanical Engineering for john luvis

Question

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector when a

concentrated (point) load, with Px0 ¼ 100 N and Py0 ¼ 500 N, act at the point (x0 ¼ 4 cm, y0 ¼ 5 cm). Perform the

needed integration by evaluating the integrand at the centroid of the element and treating the integrand as a constant

throughout the element.

Answer 1

Nodal forces are concentrated forces acting on the nodes which are equivalent statically to the boundary stresses and distributed loads on the element.

Nodal Force Vector :

 the nodal force vector f_e can be obtained

$dxdy =abd \epsilon d\eta$