End of chapter exercises for Engineering Statics: Open and Interactive 

Draw shear and bending moment diagram for  beam with a uniformly distributed load and a concentrated force

Use this as a template to create Shear and Bending Moment diagram problems.   Supports concentrated forces and moments, uniformly distributed loads, and uniformly varying loads.

Draw shear and bending moment diagram for a symmetrically loaded beam resting on the ground.

Express $\displaystyle ax+b+  \frac{dx+p}{x + q}$ as an algebraic single fraction. 

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 ffor a simply supported beam with one or two uniformly distributed loads.

Draw Shear and Bending Moment Diagrams for a cantilever beam with two forces and a concentrated moment load.

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

Homeworks 36, 37, 38 and 39 don't resume properly in Numbas LTI, so broken into individual problems.

Simply supported Beam with three concentrated loads.

Shear and bending moment problems involving distributed loads.

Shear and bending moment diagrams involving concentrated moments.

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

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.

The full list of questions to choose from to build a bespoke Skills Audit for Maths and Stats

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

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Find the reactions of a simply-supported beam with a trapazoidal distributed load.

Find the reactions for a beam with a uniformly varying distributed load.

Find the reactions for a beam with a uniformly distributed load.

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