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

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

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

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

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

Homework set.  Calculate Moment of Inertia for I beams, channels, angles, etc.

Simply supported Beam with three concentrated loads.

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

Find the reactions for a beam with a uniformly varying distributed load.

Find the reactions for a beam with a uniformly distributed load.

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

Draw shear and bending moment diagram for  beam with a uniformly distributed load and a concentrated force

Draw shear and bending moment diagram for a symmetrically loaded beam resting on the ground.

Draw Shear and Bending Moment Diagrams for a simply supported beam with triangular loading

 Students must derive the shear and bending moment functions for beam loaded with a parabolic distributed load described with a loading function.  Diagrams are given, but the students must derive the equations by integration.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

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 with several concentrated loads.  Student can't see V & M diagrams a hints.

Find the centroid and the centroidal moments of inertia for a beam composed of a flat plate and two angle sections.

Calculate the centroidal moment of intertia of a rectangle with a excentric rectangular hole.

Calculation of bending resistance of wooden beams exposed to fire. The students have to calculate charring and effective cross sections ending in the bending resistance of the cross section.

Beam Equilibrium