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

Determine expressions for internal shear and bending moment as a function of $x$ for a beam with two vertical loads.

Find the area, first moment of area, and coordinates of a general spandrel.  The area may be above or below the function.

Homework set.  Find 2-D moments or balance moments using Verignon's theorem:  $ M = \pm F_x d_y \pm F_y d_x$

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

Homework set.  Determine the moment of a force using the definition of the moment, $M = F d_\perp$.

Find the tension required to hold a pole at a specified angle.

Homework set.  Calculate resultant moment of one or more couples. 

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

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Find the sum of two couples in a plane.

Find the moment of a couple formed by two equal and opposite forces.

This question tests to see if students can recognise an alternating series and based on the alternating series test and the divergence test determine if it is convergent or divergent.

At the moment there is no example included with $b_n\rightarrow 0$ which isn't eventually monotonically convergent. 

Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

Find the force required to balance a see-saw.

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

Calculate the moment of a force.  Must calculate perpendicular distance based on simple geometry, and recognize direction.

Homework set.  Calculate Moment of Inertia for I beams, channels, angles, etc.

Shear and bending moment diagrams involving concentrated moments.

Shear and bending moment problems involving distributed loads.

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

Developing concepts for shear and bending moment diagrams. 

Homework set.  Find internal shear force, normal force, and bending moment at a designated point in a rigid body.

Homework set.  Problems require finding centroid, then Moment of Inertia about a centroidal axis.

Homework set.  Application of Parallel Axis Theorem to find area Moment of Inertia

Homework set.  Basic concepts of Area Moment of Inertia.

Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.

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.