Keith Tarnowski

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Convert a metric measurement to another order of magnitude, e.g. g to kg.

This question shows how to load a GeoGebra applet in JavaScript, avoiding the JME functions. This allows you to do some more complicated manipulation of the worksheet than simply redefining objects.

Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.

These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

An A-frame structure supporting a load at the top.  Simple because both legs are two force bodies.