The reaction on the left end is not exact because 1. The order of interpolation is too low, a higher order of interpolation would give the right reaction 2. The distributed load attributed to node one does not ke it into the solution

The correct global local node mapping for the quadraticelement mesh in the figure is

Finite element wodel of a beam(Euler-Bernollia- governing eQuations

Numerical integration Consider He 4-D integral =+(s 1 Seek n-point apploxiwisfions G~2M =1 are the weights and

cmaulenon o isoparametRic elemets (Bathes book Consider the uadriltersd denat shown in the 8oc nodd coordinates

Concept Question How many quadrature points do you need to integrate exactly the stiffness matrix of a lD finite element with quadratic interpolation for the displacements? gauss

properties of finite dement soltions Noded point equilibrio At a node, the sow of he elemeat nodal forces s in equilibriun with Hhe externed loads

1. Historical Background oo Politics dominated the revolutionary phase of American writing The crisis in American life carried by the Revolution made artists self-conscious about American subjects o The spiritual life in the colonies during that period was molded by the bourgeois Enlightenment

有研究表明每年美国卖出的数千种教学产品都没有经过学习者评价,在分发前也没有 做过修正。还有研究表明即使是只找一个学习者来试用,根据其使用情况修改教学材料, 也会明显改善教学材料的教学效果。因此,教学设计模型的这个阶段强调有必要从目标学 习者那里收集与教学材料的使用及教学效度相关的数据,用这些信息使教学材料更加有 你应该注意到教学设计模型中设计和开发过程的各个步骤都以理论、研究以及常识为 基础

洁净煤技术 ( Clean Coal Technology) 针对燃煤对环境造成污染提岀的技术对策,旨在 减少污染和提高效率的煤炭加工、燃烧、转化和污染 控制新技术的总称。 §2.1 美国的洁净煤计划 §2.2 欧共体的洁净煤研究与发展计划 §2.3 洁净煤技术是中国能源的未来