Special case of plotting a 3D function
- To: mathgroup at smc.vnet.net
- Subject: [mg50795] Special case of plotting a 3D function
- From: fernandoronci at hotmail.com (Fernando Ronci)
- Date: Tue, 21 Sep 2004 03:49:25 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, In Mathematica 5, how can I 3D-plot the diagram of normal forces of a horizontal semi-cylindrical axisymmetical shell of a given length ? The cross section of the shell is a semi-circle and the equation that gives the normal force at every point of the surface is: N = p . (x / r) . ( l - x) . sin(alfa) where x and alfa are the two variables as follows: x goes from zero to the length of the horizontal semi-cylinder (15 meter for example) and alfa goes from zero to PI radians (because it's a semi-circle). Also, p is the external load, r the radius of the semi-circle and l the length of the shell, but they're not relevant because they're constants. By looking at the above equation, the graph that represents the normal forces N throughout the semi-cylinder is a 3D-surface that I want to plot offset (or aligned, better said) to the semi-cylinder along its length. Then, I need to plot the same graph for a 15-meter-long horizontal parabolic shell, instead of a semi-cylindrical one. The equation that gives the normal forces throughout this new shell is different than the equation of the semi-cylindrical shell, but it's got two variables too. Again, my concern is to do the 3D plot "aligned" to the parabolic shell. To sum up, I'll highly appreciate if someone can tell me how to plot these two equations (representing a 3D surface) aligned to a semi-cylinder and parabol respectively. Lastly, these two shells are different and so are the plots. Thank you, Fernando Ronci E-mail: fernandoronci at hotmail.com