Engineering Statics

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 tensions in two ropes supporting a weight.

Three random forces act on a particle.  Determine the force required for equilibirum.

Find reactions for a particle in equilibrium

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

Determine the resultant of three random 2-D vectors.  

Use the parallelogram rule to solve a force triangle.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Determine the oblique components of a vector.

Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

Given three vectors with integer components, find the corresponding magnitude and direction.

Find the magnitude and direction of a force given its scalar components.

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

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.

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

A demonstration of the Shear and Bending Moment Extension

 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.

Concept check on sign convention for shear and bending moment diagrams

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.