How to construct a moment epyura

How to construct a moment epyura

Scientifically the epyura is a graphic representation of the law of change of function depending on change of an argument (X). With the help epyur determine maximum permissible load on material.

It is required to you

  • notebook, handle, pencil, calculator, ruler

Instruction

1. Define a type of a system which you consider. Most often it can be a frame, a farm or a beam. These designs represent flat or spatial core systems which all elements are connected among themselves in knots (strictly or hinges).

2. Now define type of basic fixing of a design (communication). The system can have pivotally - a mobile support, pivotally - a motionless support and rigid jamming (seal). The number of reactions (R) in a system will depend on that what type of communications at you. So, for example, in pivotally - a mobile support there is only one basic reaction directed perpendicular to the basic plane. In pivotally - a motionless support there are two reactions: vertical and horizontal. And in tough seal also the basic (reactive) moment.

3. Calculate reactions of support. For console beams of reaction of support, arising in tough seal, it is possible not to calculate. For other cases use two main equations of a statics. The sum of all forces and reactions operating on a system and also the sum of the moments (caused by these forces and reactions) has to be equal to zero.

4. Plan characteristic sections (break into sites) and determine in them cross forces. Surely construct an epyura of cross forces (Qy). With its help it is possible to check correctness of creation of an epyura of the moments.

5. Now in the same chosen sections define the bending moments. The bending moment in characteristic section is determined by the following formula: Mkh =R*a + (q*х^2)/2 + M0. Where R is reaction of a support; and - her shoulder; q - loading;

6. On the obtained data construct epyura of cross forces and the bending moments. Remember that the line order on an epyura of Mx is always one unit more, than on Qy epyura. For example, if an epyura of Qy - an inclined straight line, then an epyura of Mx on this site - a square parabola; if an epyura of Qy - direct, parallel axes, then an epyura of Mx on this site - an inclined straight line.

Author: «MirrorInfo» Dream Team


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