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.
Statics & Mechanics of Materials - Graphical
equilibrium of three forces
clip 01: lifting device
In this clip- series the problems are solved graphically. Here you will learn how to do this, and what the difference between the space- and the force diagram is.
equilibrium of four forces
clip 03: ladder
This clip is about how to graphically cut free and find a resulting force.
clip 04: ladder
Sometimes also springs appear in graphical examples. Get the clue in here!
method of cable polygon
clip 05: beam
In this video the method of cable polygon is explained.
It can be a useful tool, if some circumstances do not allow to use another method.
super- position principle
clip 06: beam
In this clip the graphical super-position principle is explained.
Important is to exactly follow the single steps. Here we Show you how to do it.
friction (static / kinematic)
clip 07: hand barrow friction
In this clip we explain how to transform the coefficient of friction
to the scetch and how to draw the angle and cone of the limiting friction.
Kinematics & Kinetics
clip 01: introduction into kinematics
This is the introductional clip into kinematics. Here it´s all about the basic quantities such as the velocity or acceleration. Also the difference between absolute and relative velocity is explained and what a rotational or translational movement is.
clip 03: truck
In this clip it is explained how to use a geometrical connection in order to find a velocity or acceleration.
clip 05: rotational movement
The acceleration of a rotational movement is equal special as important. In this clip the expressions are explained.
clip 07: crane
This clip is to practise the usage of kinematics of relative motion. What are the things to pay attention on and how to use the formulas in generell? Here are the answers.
center of mass theorem
angular momentum / principle of conservation of angular momentum
clip 14: carousel, angular momentum conserved
This clip explains the phenomenon of the increase of the angular velocity, when the mass is moved to the center of curvature. Here the mathematical proof of what we all know from the playground
energy / law of conservation of energy
work / work-energy-principle
power / power-energy-principle
clip 25: oscillations, introduction
Oscillations appear quite often and therefore they play a key role in physics. Which different kinds of oscillations do exist? What is a harmonic oscillation? What is the meaning of the terms amplitude, frequency and time periode?
clip 30: collision, introduction
This is the introduction clip for the topic of collision. In here we discuss the different sorts of collision and the most important formulars according to this chapter.