Statics & Mechanics of Materials - Calculative
clip 01: introduction into statics
In the first clip of statics & mechanics of materials it´s all about the definition of important quantities, such as a force or torque / moment.
finding support reactions / forces
clip 02: beam, loaded with a force
This clip is about the different kinds of supports and how to calculate support reactions. Also the three equations of mechanical equilibrium are discussed.
clip 07: ladder
In this clip it´s not all just about finding the support reactions, but also about the rod / pole force. It is important to seperate the system correctly.
clip 08: lifting device
In this clip it is explained how to realize a special rod, what proberties the rod force has and how to calculate with such a rod.
friction (static / kinematic)
clip 14: ladder
The ladder is a typical problem when talking about friction. It is a system that often occurs in real live- so this calculations are important. In this clip you are shown how to do.
clip 15: cable drum
In this clip it´s all about friction once more. Since the equations are little complicated, the problem is calculated for you step by step.
axial force / shear force / bending moment
clip 16: beam with single force
What are axial force,- shear force and bending moment? Where do they occur and why? How to draw the influence line of them? In this clips is is explained easy comprehensible.
clip 17: beam with uniformly distributed load
In this clip it is explained, how to calculate axial force,- shear force and bending moment if the beam is loaded by a uniformly distributed load. Also we are asked for the location and amount of the maximal bending moment.
clip 19: compound area
In this clip it´s all about finding the centroid of an area. There is an important formula we can use. It is explained here.
clip 21: half circle area
When looking for the centroid of an half circle area, one have to use Guldin´s rule. In this clip you will see how it works.
moment of inertia
clip 22: rectangle
A very important property that often occurs in mechanics is the moment of inertia. In this clip it is explained what a axial,- and polar moment of inertia is, how to calculate it and also how to use Steiner´s Theorem, also known as parallel axis theorem.
clip 23: rectangle and triangle
In this clip the calculations of a moment of inertia is practised. There is another method to find the moment of inertia via integration.
clip 24: asymmetric I- beam
On a compound area you get an optimal practise of the calculation of a moment of inertia. But first you need the knowledge of the position of the centroid.
clip 25: fixed beam with single force
A central topic of mechanics of materials is the deflection curve. It is an differential equation with special properties. This Clip is about the calculation and applicatoin of the deflection curve.
clip 26: statically indeterminate beam
In this clip it´s all about deflection curves again. But the system statically indeterminate. Here you will se what it means, and how the calculations change.
method of Mohr
clip 28: beam- Mohr´s Method
In this Clip we again use Mohr´s method to find the deflection of a beam. But this time, the beam has different bending stiffnesses.