Bar Elements: k = E·A/L, Gaussian Elimination in Step Columns, Stresses
This lesson is part of the course
In this lesson
You turn a stepped bar into three bar elements with k = E·A/L, solve the 3 × 3 reduced system by forward elimination and back substitution in step columns, and recover the stress in each element.
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Lessons in this course
- The Idea: Springs as Elements, Nodes and the 2 × 2 Element Table Locked
- Assembly: The Global Stiffness Table by Node Pairs with SUMIFS Locked
- Supports and Loads: The Reduced System, Cramer's Rule and Reactions Locked
- Bar Elements: k = E·A/L, Gaussian Elimination in Step Columns, Stresses Locked
- Distributed and Thermal Loads: Self-Weight and Temperature as Nodal Forces Locked
- Truss Elements: Direction Cosines, the Joint Table and Member Forces Locked
- Mesh Refinement: Tapered Bar with 1, 2, 4 and 8 Elements Locked
- Capstone: Checking a Colleague's Results – Equilibrium, Sensitivity, Stress Utilisation Locked