Engineering Statics

End of chapter exercises for Engineering Statics: Open and Interactive 

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.

End of chapter exercises for Engineering Statics: Open and Interactive 

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

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

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

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

Find the centroid of a shape made up of a rectangle and two triangles.

Find the centroid of a shape made from a rectangle, triangle, and circle.

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

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.  Problems involving two interacting particles.

Homework set.  Variations on problems involving single particle equilibrium.

Homework set.  Vector addition in two dimensions by summing scalar components.

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.

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

Homework set.  Find statically equivalent systems of forces.

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

Homework set.  Find reactions for various 2-D rigid bodies in equilibrium.

Homework set.  Find reactions for various 2-D rigid bodies in equilibrium.

Homework set.  Identify student errors when drawing free body diagrams.

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

Homework set.  Find components of vectors in various situations.

Homework Set.  Three problems to brush up on trig skills.  Right triangles and sine and cosine law.