Engineering Statics

Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

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

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

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.

Equilibrium of two interacting particles.

Given a point and a line, determine the distance between them.

Solve a random oblique triangle for sides and angles.

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

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.

Pulley supported by a cable, so the tension in the rope is constant.    Advice is a youtube video showing how to solve the problem.

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.

Simply supported Beam with three concentrated 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.  Frame and machine problems.

Homework set.  More frame and machine problems.

Homework set.  Frame and machine problems.

Homework set.  Trusses solved using the method of sections

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

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