SPRING 2012 STATEMENT CANTILEVER BEAMS (STRAIGHT &ARCUATE) Page 1/5 ?? TERM PROJECT: FEM STRESS ANALYSIS CANTILEVER BEAMS (STRAIGHT &ARCUATE) Date: 02-05-2012 The figures below show various types of cross-sections: 3 in the category of open-section and 2 in closed-section. Assume all sections have the same cross-sectional area A and as shown on next page, are used to construct a straight and an arcuate cantilever beam, of length L and radius R, respectively. Here ( X,Y, Z ) and (x, y, z) are the global and local Cartesian coordinate systems, respectively.Document Preview:SPRING 2012 STATEMENT CANTILEVER BEAMS (STRAIGHT &ARCUATE) Page 1/5 ?? TERM PROJECT: FEM STRESS ANALYSIS CANTILEVER BEAMS (STRAIGHT &ARCUATE) Date: 02-05-2012 The figures below show various types of cross-sections: 3 in the category of open-section and 2 in closed-section. Assume all sections have the same cross-sectional area A and as shown on next page, are used to construct a straight and an arcuate cantilever beam, of length L and radius R, respectively. Here ( X,Y, Z ) and (x, y, z) are the global and local Cartesian coordinate systems, respectively. Note that ( X,Y, Z ) and (x, y, z) are the same for the straight beam case whereas only the z-and Z-axes coincide with each other in the arcuate beam case. The beams are made of a linearly elastic-perfectly plastic material of density ?, Youngs modulus E, Poissons ratio and yield strength syld, as shown in the figure below. The material data and dimensions are given on Page 4 of this project statement. In this term project, each student will be assigned 1 open-section and 1 closedsection to conduct 3-D finite element (FE) analyses of various loading cases (see Pages 3 and 5, respectively). Open-Sections H B t H B t Bt H B I-Beam W-Shape (Wide-Flange) or S-Shape Channel Beam C-Shape Z Beam Closed-Sections H B tr tc Rc Box Beam (Rectangular) Tube Beam (Circular) ME G4000: APPLIED STRESS ANALYSIS TERM PROJECT: FEM STRESS ANALYSIS E 1 e s syld Home Assignment 1 (FEM Stress Analysis) SPRING 2012 STATEMENT CANTILEVER BEAMS (STRAIGHT &ARCUATE) Page 2/5 ME G4000: APPLIED STRESS ANALYSIS TERM PROJECT: FEM STRESS ANALYSIS N0 Q0 P0 x,X y,Y Q0 P0 N0 z,Z y,Y X Y R ? Q0 N0 P0 y x SPRING 2012 STATEMENT CANTILEVER BEAMS (STRAIGHT &ARCUATE) Page 3/5 ME G4000: APPLIED STRESS ANALYSIS TERM PROJECT: FEM STRESS ANALYSIS (a) End Loading Cases. Assume the beams are loaded by end forces, Q, P and N, at the point that is deemed the worst scenario. That is the loading will generate the highest stress in a linearly elastic beam. Attachments: A-FEM-Cantile.pdf
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