Statics

Water Air
Soil             Waste

Statics
Statics is the study of the effect of forces on rigid bodies, which are in quilibrium. The main task of static analysis is to determine the equilibrium of the forces applied on a body or a mechanical system.
  • Forces and moments
  • Internal reactions and methods of section
  • Forces in a truss
  • Bridges, beams, arches, cables
  • Static and kinetic friction
Forces and moments
The equilibrium conditions of statics state that a body at rest remains at rest if the sum of all forces and moments acting on that body is zero. Determining the forces and moments is the basis for the design and dimensioning of structures and components.
TM 110
     
TM 110.01
     
TM 110.02
Fundamentals of statics                                   Supplementary set - inclined plane and friction   Supplementary set - pulley blocks       
Demonstration of force and moment equilibrium in a mechanical force system                                 Measurement and demonstration of spring deflection, inclined plane and mechanical friction                    Construction and mode of operation of three different pulley blocks                                                          
TM 110.03
 
TM 115
 
FL 111
Supplementary set - gear wheels      Forces in a crane jib           Forces in a simple bar structure 
Mode of operation of single-stage and multistage toothed gear mechanisms                         Graphical and experimental determination of forces in a planar central force system                        Resolution of forces in a simple bar structure                                                                
EM 049
 
SE 110.53
 
TM 121
Equilibrium of moments on a two-arm lever                                 Equilibrium in a single plane, statically determinate system       Equilibrium of moments on pulleys                                   
Investigation of applied forces, generated moments and equilibrium                                       Experimental investigation of the important principle of free vectors in statics                                        Clear demonstration of the equilibrium of moments                                                                                        
TM 122
Equilibrium of moments on a differential pulley block
Equilibrium of forces and moments and the demonstration of the force reduction on a differential pulley block                                                
Internal reactions and methods of section
In statics, the internal reactions show the counteraction of forces and moments within a component in response to the action of external forces. Free body diagrams are the main way in which the internal force states are represented in rods, beams and cables.
WP 960
     
WP 961
     
WP 962
Beam on two supports: shear force & bending moment diagrams         Beam on two supports: shear force diagram                                   Beam on two supports: bending moment diagram                            
Application of the method of sections to determine internal reactions of the beam                                                        Application of the method of sections to determine the shear force                                   Application of the method of sections to determine the bending moment            
         
SE 110.50
   
Cable under dead-weight               
Catenary of a free-hanging cable under dead-weight  
Forces in a truss
Various methods are presented for determining bar forces in plane trusses. Calculation method such as the method of joints and Ritter’s method of sections as well as a graphic method, the Cremona diagram.
SE 110.21
     
SE 110.22
     
SE 130
Forces in various single plane trusses                                              Forces in an overdeterminate truss                                                 Forces in a Howe truss                                                  
Using strain gauge technology to measure bar forces                                                                         Comparison of forces in statically determinate and statically overdeterminate trusses           Investigation of bar forces under different load cases                                                        
         
SE 130.01
       
Truss beam: Warren girder                
Bars with strain gauge full bridges to measure bar stress                     
Bridges, beams, arches, cables
Experimental equipment for investigating a suspension bridge, a Gerber beam and various arches.
SE 110.18
     
SE 110.12
     
SE 110.17
Forces on a suspension bridge                                                  Lines of influence on the Gerber beam          Three-hinged arch                                                      
Supporting cable force and demonstration of bending moments between the roadway support and supporting cables        Using methods of section and conditions of equilibrium of statics to determine support forces                                                               Symmetric and asymmetric arch subjected to point, distributed or moving loads                                                                  
         
SE 110.16
       
Parabolic arch              
Differences between statically determinate and statically overdeterminate arches under load        
Static and kinetic friction

Friction occurs in all solid bodies that are in mutual contact and that are moved against each other. The cause of the occurring forces is, among other things, the surface roughness which causes the surfaces to interlock.

TM 210
     
TM 200
     
TM 225
Fundamentals of mechanical friction                         Dry friction                                                                    Belt drive and belt friction                                                  
A range of experiments relating to static and dynamic friction                                                                                                           Investigation of mechanical friction forces on two solid bodies moving against each other in a uniform manner            Experiments to understand the fundamentals of mechanical friction on an inclined plane                                                
         
TM 220
       
Friction on the inclined plane           
Investigating the influence of the angle of contact, coefficient of friction and belt force on belt drives and belt friction