# Introduction

A brief description of the example.

*INTEGRATION_SHELL Cantilever Beam with Lobatto Integration LS-DYNA Manual Section: *INTEGRATION_SHELL Additional Sections: *DAMPING_GLOBAL *LOAD_NODE_POINT Example: Cantilever Beam with Lobatto Integration Filename: integration_shell.lobotto.beam.k Description: A cantilever beam has a concentrated load, and then the beam vibration critically damps. Lobatto integration rules place the quadrature points on the true surfaces of the shell. [ See Hughes]. Model: The plate measures 1.00 * 0.10 * 0.01 in 3 and is modeled with 60 Belytschko-Tsay shell elements. The displacement of the nodes is fixed at one end and a concentrated load is applied to the other end. Symmetry conditions for the plane strain case exist on the beam sides. Input: The concentrated loads and load curve definition 1 defines the load on the end of the beam (*LOAD_NODE_POINT, *DEFINE_CURVE). The beam is critically damped (*DAMPING_GLOBAL) The number of integration points is 5 (*SECT ION_SHELL). The shell integration rule is the Lobatto integration rule (*SECTION_SHELL) Results: The displacement of the beam damps out critically. The x-stress values at the integration points exhibit tension on one side, compression on the opposite side, and balance at the neutral axis.