Find the number of people with heights greater then mean plus two times the standard deviation.

Draw Shear and Bending Moment Diagrams for a simply supported beam with triangular loading

A demonstration of the Shear and Bending Moment Extension

 Students must derive the shear and bending moment functions for beam loaded with a parabolic distributed load described with a loading function.  Diagrams are given, but the students must derive the equations by integration.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

Explore mode question guiding you through the steps of the "I can name your polynomial" trick.

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Concept check on sign convention for shear and bending moment diagrams

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Draws a triangle based on 2 angles and a side length.

Draws a right angled triangle based on a length and an angle.

Shows two different ways

Draws a triangle based on 3 side lengths.

Draws a right angled triangle based on 2 lengths.

Shear and bending moment diagram for a beam loaded with an arbitrary parabolic distributed load described with a loading function.  Integrate to find reactions and equations for shear and bending moment.