bedford fowler chap 2 - rice university · bedford fowler statics: chapter 2 vectors, examples via...

Bedford Fowler Statics: Chapter 2 Vectors, Examples via TK Solver

Copyright J.E. Akin. All rights reserved. of 12

Vectors

Introduction

The main discussion of using TK Solver (TK) in statics applications begins in the next chapter. Here the given text examples are simply expressed in terms of their trigonometric and algebraic rules. The rules can be written in any order. That is because TK Solver is a non‐procedural case solver. Also, each TK rule can be written as it is most commonly presented, and the equals (=) symbol can be anywhere in the rule. These features differ from procedural languages (like C, Fortran, and Pascal) which require a single variable to be to the theft of the equal symbol. Such languages also do not allow that variable to be the argument of a mathematical operator, but TK does. The following examples are presented without discussion. Later examples will include discussions and additional inputs beyond those given in the text examples. Comments are added to the end of rules by preceding them with a semi‐colon (;).

Example 2.1 Add two vectors via the Law of Cosines and Law of Sines

Example 2.2 Resolve a vector along two lines via the Law of Cosines and Law of Sines



Example 2.3 Sum vectors via x‐ and y‐components

Example 2.4 Find force components for a given direction



Example 2.5 Components of a force along a line

Example 2.6 Find FB given direction of sum with FA



Example 2.7 Find direction cosines of line from A to B (B with respect to A)

Example 2.8 Find force components from direction angles



Example 2.9 Find force components from polar angles

Example 2.10 Find components of a force going between two points



Example 2.11 Sum two forces for loop force in 3‐D



Example 2.12 Find components of a force along a 3D line



Example 2.13 Dot product of two 2D vectors



Example 2.14 Dot product of two 3D vectors

Example 2.15 Components parallel and normal to a 3D line



Example 2.16 Cross product of two 3D vectors

Example 2.17 Cross product of two 2D vectors



Example 2.18 Minimum distance from a point to a 3D line

Example 2.19 Component of a vector normal to a plane

bedford fowler chap 2 - rice university · bedford fowler statics: chapter 2 vectors, examples via...

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