How many quadrature points do you need to integrate a polynomial of order p= 3 exactly using Gauss'method

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

原子簇(团簇) cluster C660 Roundest and most symmetrical molecule known to man Compressed becomes stronger than diamond Third major form of pure carbon Heat resistance and =0.77nm electrical conductivity

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

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

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

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

The finite element melod I In FEM I We derived basis functions of arbitrary order for Hhe rod Model

he finite element Metnod Overcome limitations of Rita Simple basis functions( ow order polyuouisls) Basisfonctians supported in sdo domains(fuite elemnet Basis functions constructed to provide interpolant of proximate soluton Undetermined beraweters represent vales of dead

the finite derwent meThod Ir position of boundary conditions(olis plcewent) We had obtained the aesewbed finite element eeve Kik2∞ Kht K Ki