This problem investigates the loading of a bicycle frame. The bicycle frame is modelled with truss elements.
#Example_412 A bicycle truss problem
fem #Set up the FEM environment
fem define nodes;r;bicycle;example #Read the bicycle nodes
fem define window;c #Calculate the window size
fem define bases;r;;example #Defines a linear basis function
fem define elements;r;;example #Defines bicycle elements
fem define fibre;d #Default fibre angle (these need to be
fem define elements;r;;example fibre #done but add no new information)
fem draw lines #Make the line segments visible
fem draw nodes #Make the node numbers visible
fem define equation;p #Define a static analysis using
# linear elasticity with truss
# elements for elements 1..6. The
# basis function for the u and v
# displacements is 1. Default all
# other options.
fem define material;p #Define the material parameters. Define
# an isotropic material with a Young's
# modulus of 70 GPa (Aluminium), and a
# cross-area of 5 cm^2. Default all
# other options. Note: density is not
# a required input. (for Aluminium it is
# 2700 kg/m^3).
fem define initial;p #Define initial and boundary conditions
# for the problem. Consider the case
# of a person sitting on the bicycle
# giving a downwards force of 1 kN
# at the seat. Fix the displacements
# of nodes 1 and 5 in both the x and
# y directions (so the problem becomes
# statically determinant) and apply
# a downwards integrated force of 1 kN
# at node 3, i.e. the force vector is
# (0.0,-1.0) kN.
# NOTE: If Young's modulus is entered
# in GPa then the units of force are
# kN and the units of displacement
# are um (micrometers).
fem define solve;p #Define the solver options. Default all
# options.
fem solve #Solves the boundary value problem
fem draw line deformed dotted scale 50 #Draws (scaled) deformed
# bicycle with dotted lines
fem list node solution #List the nodal displacements
fem list node reaction #List the nodal reactions (forces)
fem list stress #List the element stresses
fem draw reaction scale 2 #Draw (scaled) reaction (force) vectors
Name Modified Size
example_412.com 20-Feb-2004 3.1k bicycle.ipbase 10-Apr-2000 893 bicycle.ipelem 10-Apr-2000 1.6k bicycle.ipelfb 10-Apr-2000 890 bicycle.ipequa 26-May-2003 1.8k bicycle.ipinit 10-Apr-2000 687 bicycle.ipmate 10-Apr-2000 805 bicycle.ipnode 10-Apr-2000 994 bicycle.ipsolv 13-Apr-2007 1.1k
Name Modified Size
examples_4_41_412.tar.gz 14-Apr-2007 4.4k
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Input last modified: Fri Apr 13 10:33:04 2007