Homework set.  Identify zero force members and utilize special loading conditions to simplify trusses.

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

Determine the forces in the pistons of a hydraulicly operated excavator.

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, $M = F d_\perp$.

Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.

Homework set.  Find statically equivalent systems of forces.

Homework set.  Rigid body equilibrium solved using the three-force body principle.

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

Rigid body equilibrium problem.  Easiest to solve by replacing forces on the perimiter of the pulley with equivalent forces at the axle.

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

Homework set. Find the forces in truss members using the method of joints.

Three random forces act on a particle.  Determine the force required for equilibirum.

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

Determine the resultant of three random 2-D vectors.  

Use the parallelogram rule to solve a force triangle.

Find the magnitude and direction of a force given its scalar components.

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.

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