Recently published items

Sum three force vectors based on a written description of the situation.

Calculate the moment of a force.  Must calculate perpendicular distance based on simple geometry, and recognize direction.

Derive the expressions for the shear and bending moment as functions of $x$ for a cantilever beam with a uniformly varying (triangular) load.

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.

Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.

 The parallel axis theorem is not required for any of these shapes.  One situation requires subtracting a triangle from a rectangle however.

Distinguish between centroidal and non-centroidal moments of inertia.

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

Find the reactions of a simply-supported beam with a trapazoidal distributed load.

Use integration to find the centroid of an area bounded by a parabola, a sloping line, and the y-axis.  

Shear and bending moment diagram for a beam loaded with an arbitrary parabolic distributed load described with a loading function.  Integrate to find reactions and equations for shear and bending moment.

Shear and bending moment diagram for a beam loaded with concentrated force and a uniformly distributed force.