Consider the following truss system. 1 All bars are either vertical, horizontal, or at 45° from horizontal. Enter the elongation matrix (A = BT): (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) A = (Remember that webwork uses radians for computations.) This truss system should be stable. The matrix is square, which is good. However, you should be able to verify that A has a pivot in each column of its LU decomposition. This means that it has no nullspace.
Consider the following truss system. 1 All bars are either vertical, horizontal, or at 45° from horizontal. Enter the elongation matrix (A = BT): (in the form "node 1 horiz", "node 1 vert", "node 2 horiz" etc.) A = (Remember that webwork uses radians for computations.) This truss system should be stable. The matrix is square, which is good. However, you should be able to verify that A has a pivot in each column of its LU decomposition. This means that it has no nullspace.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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