By David F. Rogers (Eds.)
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Additional resources for Computer Graphics in Engineering Education
Interpolation is used to find responses at points between nodes. The stiffness matrix The beam element between nodes is defined in Fig. 1 with orthogonal χ and y axes as shown and nodes numbered 1 and 2. At each node there are two degrees of freedom: a translation positive in the y direction and a rotation, positive anti-clockwise. For an isotropic elastic material, the Young's Modulus, E, is constant a n d for a prismatic beam the second moment of area of a section about the ζ axis, I, is also constant so the stiffness k of the element may be written in matrix form as Κ = EI The degrees of freedom in order are Translation Rotation at Translation Rotation at at node 1 node 1 at node 2 node 2.
The time delay of approx. 5 s per increment is solely that required to re-analyze the beam. The scale is not replotted so if not used with care it is easy to send the curve off the screen. This very powerful facility is illustrated as well as it can be statically in Fig. 5. 00 SUPPORT Ο I I LOAD I*' I I w -uP-— ^ 2 CONFIRM STOP VES NO Fig. 5. U C L effect of moving a load along the beam. 00 Ε* -w 210 D A V I D F. ROGERS et al. All the above commands can be carried out at any time in any order, the only limit being a maximum of 20 beam elements along the beam.
U C L effect of moving a load along the beam. 00 Ε* -w 210 D A V I D F. ROGERS et al. All the above commands can be carried out at any time in any order, the only limit being a maximum of 20 beam elements along the beam. The program is stopped by pointing to the S T O P command which returns control to the Monitor. S. Naval Academy the interactive graphics portion of BEAM is written in F O R T R A N and implemented on a P D P 11/45. 2M word cartridge discs, D E C tape, 9 track 800 bpi industrial compatible magnetic tape, paper tape reader/punch and various communication interfaces.