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

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.

Concept check on sign convention for shear and bending moment diagrams

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.

Shear and Bending Moment diagram for a beam with several concentrated loads.  Student can't see V & M diagrams a hints.

Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.

Calculate the centroidal moment of intertia of a rectangle with a excentric rectangular hole.

Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis.  Parallel axis theorem is often required.

An A-frame structure supporting a force or a moment.  One leg is a two force body.

An A-frame structure supporting a force and a moment. The feet are at the same vertical position, so taking moments at one foot yields the y component of the reaction at the other.

Calculation of bending resistance of wooden beams exposed to fire. The students have to calculate charring and effective cross sections ending in the bending resistance of the cross section.

Find the centroidal moment of inertia of a sideways T shape. This requires first locating the centroid, then applying the parallel axis theorem.

 Question asks student to find zeros of a quadratic equation. In this version students are expected to write up their working and submit it seperately to the Numbas question. Students are expcted to recognise that only the positive solution has physical significance.

moment of inertia - cylinder

moment of inertia - cylinder

Evaluate J = (1/2)Ma^2 for random values of M and a.

Two known forces, and a third with known magnitude act on a rigid body.  Apply $\Sigma M = 0$ about a pin restraint to determine the direction of the third force.  The problem has two valid answers.