FOUNDATION%20ON%20ELASTIC%20SUBSOIL - PowerPoint PPT Presentation

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FOUNDATION%20ON%20ELASTIC%20SUBSOIL

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Compute the local displacements for each member Calculate the inner forces from fl = Kl ul ... Calculate the local stiffness matrix for each element Transform ... – PowerPoint PPT presentation

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Title: FOUNDATION%20ON%20ELASTIC%20SUBSOIL


1
FOUNDATION ON ELASTIC SUBSOIL
  • ZAHRA SHARIF KHODAEI

2
INTRODUCTION
3
INTRODUCTION
4
PROCEDURE FOR FEM
  • Divide the structure into nodes and elements
  • Find the joint forces and initial displacements
  • Calculate the end forces for each element
  • Assemble the global joint forces (localize)
  • Calculate the local stiffness matrix for each
    element
  • Transform the local stiffness matrix to global
    stiffness matrix
  • Localize to obtain the overall stiffness matrix
  • Solve Ku f for the displacements u.
  • Compute the local displacements for each member
  • Calculate the inner forces from fl Kl ul

5
EXAMPLE
6
MESH
SIGN CONVENTION
Y
X
7
Something about CAL
  • The command to solve a grid on elastic subsoil
    is
  • GRID km E? G? I? J? L? CW? CP? B? K?
  • Where
  • km element stiffness matrix
  • E modulus of elasticity
  • G shear modulus
  • I moment of inertia
  • J torsional moment of inertia
  • L length of the element
  • CW Winklers constant C1
  • CP Pasternaks constant C2
  • B width of the cross section
  • K 1 takes into account the neighborhood of
    the foundation

8
RESULTS
INTERNAL FORCES IN THE MEMBERS
9
DEFLECTIONS
10
BENDING MOMENTS
11
(No Transcript)
12
COMPARISON
13
(No Transcript)
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