Purchase Solution

Deformed Surface Orientation

Not what you're looking for?

Ask Custom Question

Suppose we want to determine how much of the orientation of the surface of a deformed body has changed from its original orientation ...

**See attachment for complete question

Attachments
Purchase this Solution

Solution Summary

The deformed surface orientation is examined. A deformed body changing the original orientation is given.

Solution Preview

A normal to a surface is often used to describe the surface. The angle between two normal vectors can be used to describe the amount of rotation that the original surface has gone through. In this example, we assume N^ to be e3^. Since e3^ is a unit vector in the z-direction, we assume that the original surface is the two dimensional x-y plane. Note that since e3^ is a unit vector, its magnitude is 1. Now suppose the original surface rotates that the normal vector to the new surface is defined as xe1^ + ye2^ + ze3^. We need to make it ...

Purchase this Solution


Free BrainMass Quizzes
Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.