Answer to Question #274717 in Mechanical Engineering for john luvis

Question

Consider a rectangular element in plane stress state with the geometry shown in Fig. 10.35. The element is made of aluminum with E ¼ 71.0 GPa and v ¼ 0.33 and has a thickness of 0.2 cm. Using the [B] matrix given in Problem 10.12 and the [D] matrix given in Eq. (10.15), find the element stiffness matrix using the relation

Answer 1

Element stiffness matrix:

Element stiffness matrix can be directly obtained from the integration of the element shape functions.

element stiffness matrices by using the Gauss numerical integration scheme for the simplest and most commonly used element types.

 introduced are the full-integration, selective-reduced-integration, and reduced-integration schemes. When the reduced-integration scheme is used.