Engineering Statics

A hand truck on wheels.  Easiest to solve by rotating coordinate system.

Classic problem of a vehicle parked on an incline.  Best solved by rotating the coordinate system.

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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 produce a given moment, or vice-versa.

Equilibrium of a rigid body.  Find tension to raise a pole.

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

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

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.

Determine the mechanical advantage of a pair of compound lopping shears.

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

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 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 or a moment.  One leg is a two force body.

Simple truss with a zero-force member

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

End of chapter exercises for Engineering Statics: Open and Interactive 

Locate the centroid of a rectangle, triangle, and semi-circle on a coordinate grid.

End of chapter exercises for Engineering Statics: Open and Interactive 

End of chapter exercises for Engineering Statics: Open and Interactive 

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.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

Find the force required to balance a see-saw.

Use the parallelogram rule to solve a force triangle.