Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

15.5 STATICALLY INDETERMINATE

 

· There are a number of problems that cannot be solved with statics methods. In fact, all problems are inexact, but luckily we can solve some using statics.

 

· These types of problems often occur when the number of forces known is equal to the number of useful governing equations. This is known as completely constrained.

 

· When there are more equations than unknowns the problem may be overconstrained.

 

· When there are fewer equations than unknown forces, the problem may be underconstrained.

 

· The basic types of cases are,

 

 

· be cautious with this class of problems. You may actually be able to calculate a solution, but the answer will not be correct realistically, and mathematically speaking.

 

· Consider problem 2.4-1 from Hibbler

 

 

· Example #2

 

 

 

 

 

 

 

 

 

· Example #3, problem 2.4-19 from Gere and Timoshenko

 

 

 

 

 

15.5.1 Summary

15.5.2 Practice Problems

15.5.3 References