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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