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OVIDIO SERRANO ZELADA 1.1. PROBLEMA b) Datos del Probleama: E=200 000 Mpa. A1= 6000 mm2 A2= 4000 mm2 A3= 4000 mm2 SOLUCION.- BARRA 1 E 200.00 kN/mm2 A 6000 mm2 L 4240 mm phi 45 ° 3 4 1 2 EA/L 283.02 141.51 141.51 -141.51 -141.51 3 0.707106781 K= 141.51 141.51 -141.51 -141.51 4 0.707106781 -141.51 -141.51 141.51 141.51 1 -141.51 -141.51 141.51 141.51 2 Calcular los desplazamientos, reacciones y fuerzas internas para la armadur cos(Ø) sen(Ø)

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Hoja1OVIDIO SERRANO ZELADA

1.1. PROBLEMA b)Datos del Probleama:Calcular los desplazamientos, reacciones y fuerzas internas para la armadura mostrada. E=200 000 Mpa.A1=6000mm2A2=4000mm2A3=4000mm2

SOLUCION.-

BARRA 1E200.00kN/mm2A6000mm2L4240mmphi45k' =283.02-283.023412-283.02283.02EA/L283.02141.51141.51-141.51-141.513cos()0.7071067812K=141.51141.51-141.51-141.514T =0.70710678120.707106781200sen()0.7071067812-141.51-141.51141.51141.511000.70710678120.7071067812-141.51-141.51141.51141.512k =141.5094339623141.5094339623-141.5094339623-141.5094339623141.5094339623141.5094339623-141.5094339623-141.5094339623-141.5094339623-141.5094339623141.5094339623141.5094339623-141.5094339623-141.5094339623141.5094339623141.5094339623BARRA 2E200.00kN/mm2A4000mm2L3000mmphi905612EA/L266.670.000.00-0.00-0.005cos()0K=0.00266.67-0.00-266.676sen()1-0.00-0.000.000.001-0.00-266.670.00266.672BARRA 3E200.00kN/mm2A4000mm2L3000mmphi03456EA/L266.67266.670.00-266.670.003cos()1K=0.000.000.000.004sen()0-266.670.00266.670.0050.000.000.000.006123456141.51141.51-141.51-141.51-0.00-0.001141.51408.18-141.51-141.51-0.00-266.672-141.51-141.51408.18141.51-266.670.003Ktotal = -141.51-141.51141.51141.510.000.004-0.00-0.00-266.670.00266.670.005-0.00-266.670.000.000.00266.676Ff=5KN0KN

Deltaf0.05408mm-0.01875mm

-5.000KNFs-5.000KN0.000KN5.000KN

Hoja2OVIDIO SERRANO ZELADA

1.1. PROBLEMA b)Datos del Probleama:Calcular los desplazamientos, reacciones y fuerzas internas para la armadura mostrada. E=200 000 Mpa.A1=6000mm2A2=4000mm2A3=4000mm2

Barra 1E200KN/mm2A6000mm2L4240mmAlfa45EA/L283.0188679245sen(alfa)0.7071067812cos(alfa)0.70710678123412141.51141.51-141.51-141.513K=141.51141.51-141.51-141.514-141.51-141.51141.51141.511-141.51-141.51141.51141.512Barra 2E200KN/mm2A4000mm2L3000mmAlfa90EA/L266.6666666667sen(alfa)1cos(alfa)056120.000.00-0.00-0.005K=0.00266.67-0.00-266.676-0.00-0.000.000.001-0.00-266.670.00266.672Barra 3E200KN/mm2A4000mm2L3000mmAlfa0EA/L266.6666666667sen(alfa)0cos(alfa)13456266.670.00-266.670.003K=0.000.000.000.004-266.670.00266.670.0050.000.000.000.006123456141.51141.51-141.51-141.51-0.00-0.001141.51408.18-141.51-141.51-0.00-266.672Ktotal-141.51-141.51408.18141.51-266.670.003-141.51-141.51141.51141.510.000.004-0.00-0.00-266.670.00266.670.005-0.00-266.670.000.000.00266.676Fuerzas en cada barraFf51Barra 1g.l.FFuerza Axial0203-504-50.0540815-0.01875257.0710678119Deltaf0.054081Barra 2g.l.FFuerza Axial-0.018752050.00065.00-5.0030.054081-0.00Fs-5.004-0.018752-5.00-50.005Barra 3g.l.FFuerza Axial5.0060300400.00000500.00000600

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