En este tutorial explico como calcular una viga continua utilizando cálculo matricial con MAT32 en la HP 50g. El MAT32 lo podéis bajar de aquí: www.hpcalc.org/...
I figured this out with 9 linear equations,but you can solve it with six for the unknown reactions forces,by the way ,I did it by hand calculation and TI-83 graphing calculator,not involved software Engineering .
Concerning linear elasticity, there are several methods for solving the same structure. The method I use is based on the stiffness of the structure, and hence you can solve for the unknowns corresponding to the pinned degrees of freedom. This method is computer-friendly because it can be translated into a program to solve any structure. Actually I only use 5 unknowns, but the VigaG program shows the rotation on both the startpoint and the endpoint anyways. (Rotation of the startpoint is zero and that's because it doesn't show up). You probably are using a method based on elasticity forming isostatic beams and hence taking as unknowns the bending moments of the intermediate supports, and via the Bresse's expressions you can calculate the displacements on both ends of each beam and with those extra equations you have to ensure the compatibility of displacements so that those isostatic beams behave as the original one. That method is perfectly fine to use by hand, but sadly is very difficult to apply systematically and that is the reason why programs usually do the calculations with the former method. Thank you for posting a comment. Regards
Notice that you have six results (outputs) therefore you NEED six equilibrium equation s ,not five understand?;However you can arrange,or set up the configuration,and equilibrium condition the way you want to ,On my own choosing,I can start w/ not less than 4 equations,some people call them compatibility conditions, I don't, then finish it up with equilibrium .IN general,my calculation is based on graphical ,numerical ,and analytical analysis( structural Integration analysis).10-4
+Erick Mota Rojas La ventana de abajo que tiene los resultados del VigaG pone los momentos negativos cuando tienen sentido antihorario, mientras que el MAT32 utiliza el criterio del método de la rigidez donde los momentos positivos tienen sentido antihorario, así que depende del criterio que sigas tú. Pero independientemente del criterio usado, el momento en el nudo 1 tiene una magnitud de 6.84 y tiene sentido contrario a las agujas del reloj. Saludos
tienes ideas del metodo de calculo que la calculadora hp usa para calcular las reacciones ( for 12:56 / 17:48 )?
El método de cálculo es el método matricial de la rigidez ("Direct stiffness method" en inglés)
y se pueden ver las matrizes
I figured this out with 9 linear equations,but you can solve it with six for the unknown reactions forces,by the way ,I did it by hand calculation and TI-83 graphing calculator,not involved software Engineering .
Concerning linear elasticity, there are several methods for solving the same structure. The method I use is based on the stiffness of the structure, and hence you can solve for the unknowns corresponding to the pinned degrees of freedom. This method is computer-friendly because it can be translated into a program to solve any structure. Actually I only use 5 unknowns, but the VigaG program shows the rotation on both the startpoint and the endpoint anyways. (Rotation of the startpoint is zero and that's because it doesn't show up).
You probably are using a method based on elasticity forming isostatic beams and hence taking as unknowns the bending moments of the intermediate supports, and via the Bresse's expressions you can calculate the displacements on both ends of each beam and with those extra equations you have to ensure the compatibility of displacements so that those isostatic beams behave as the original one.
That method is perfectly fine to use by hand, but sadly is very difficult to apply systematically and that is the reason why programs usually do the calculations with the former method.
Thank you for posting a comment. Regards
Notice that you have six results (outputs) therefore you NEED six equilibrium equation s ,not five understand?;However you can arrange,or set up the configuration,and equilibrium condition the way you want to ,On my own choosing,I can start w/ not less than 4 equations,some people call them compatibility conditions, I don't, then finish it up with equilibrium .IN general,my calculation is based on graphical ,numerical ,and analytical analysis( structural Integration analysis).10-4
muy bueno pero te falta las opsiones de la tecla VAR
el Momento en el nudo 1 es negativo o positivo??? valor 6.84
+Erick Mota Rojas La ventana de abajo que tiene los resultados del VigaG pone los momentos negativos cuando tienen sentido antihorario, mientras que el MAT32 utiliza el criterio del método de la rigidez donde los momentos positivos tienen sentido antihorario, así que depende del criterio que sigas tú. Pero independientemente del criterio usado, el momento en el nudo 1 tiene una magnitud de 6.84 y tiene sentido contrario a las agujas del reloj. Saludos
R1=109079/6288
R2=93637/4716
Ma= - 21505/3144
tampoco me esboza nada
Rb=7375/2358
Ra=29365/6288
Giro @ b=8855/786