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

Classic machine problem.  Find the mechanical advantage of a pair of pliers and the force on the hinge pin.

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.

An A-frame structure supporting a force and a moment. The feet are at the different vertical positions so the solution will require simultaneous equations, unless you rotate the coordinate system.

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

An A-frame structure supporting a load at the top.  Simple because both legs are two force bodies.

Find all forces on a two-part, symmetrical frame supporting a load. 

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Cartesian form of a complex number.

Solve for the internal force in three members of a truss.

Solve for the internal force in three members of a truss.

Simple truss with a zero-force member

Solve Truss by the method of joints.  The solution is simplified by recognizing symmetry.

Find the forces in the members of a truss using the method of joints.

This just an equilibrium of a particle problem, but posed in context of a joint as a warm-up for the method of joints.

Advice is brief.

Friction

Friction

Friction

Friction

Friction

End of chapter exercises for Engineering Statics: Open and Interactive 

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

Given a linear programming problem in standard form, write down the dual problem.

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

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