UNIVERSIDAD NACIONAL DE INGENIERIA FACUL ACULT TAD DE INGE INGENIER NIERIA IA CIVIL
Lima - Perú
CONCRETO PRESFORZADO CLASE 6 2017 - 1
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CONCRETO PRESFORZADO :
RESISTENCIA A FLEXION HIPOTESIS.
Al igual que en concreto armado, para el concreto presforzado se co se consideran nsideran las siguientes hipótesis:
• El concreto tiene una deformación unitaria máxima en la fibra en compresión igual a 0,003 . • Mantenimiento de las secciones planas. • Resistencia nula del concreto traccionado. • Puede adoptarse un bloque uniforme de esfuerzos en el concreto con un valor valor constante constante igual a 0.85 0.85 f´c . • La profundidad de dicho bloque es: a = β1 · c
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CONCRETO PRESFORZADO :
EQUILIBRIO Y COMPATIBILIDAD EN SECCIONES PRESFORZADAS
CONCEPTOS GENERALES
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CONCRETO PRESFORZADO :
RESISTENCIA A FLEXION EQUILIBRIO Y COMPATIBILIDAD EN SECCIONES PRESFORZADAS cu =
0.85*f 'ci c dp
h
a/2
a=*c
C=0.85*f 'ci*a*b
E. N. Falla E. N. Elástico
c E. N. Falla
dp-a/2
T=Ap*fps b
0.003
dp
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CONCRETO PRESFORZADO :
BLOQUE DE ESFUERZOS DE WHITNEY PARA UNA VIGA RECTANGULAR
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CONCRETO PRESFORZADO :
FACTOR DE REDUCCION DE RESISTENCIA “Ø”
Donde: t = Deformación Deformación unitar unitaria ia neta de de tracción tracción del acero acero en el estado estado de resisten resistencia cia • nominal, producido por cargas externas únicamente sin efectos del presfuerzo. = Distancia del eje neutro en la falla a la fibra extrema en compresión.
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CONCRETO PRESFORZADO :
COMENTARIOS: En secciones no presforzadas, al poder asumirse que el acero se encuentra en “fluencia” , resulta posible plantear una ecuación cuadr cu adr ática ática que resuelve el problema y se obtiene el área de acero. En secciones presforzadas, presforzadas , no se conoce el esfuerzo del acero de
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CONCRETO PRESFORZADO :
EL DIAGRAMA DE ESFUERZO-DEFORMACION DEL ACERO. Donde:
• fps = esfuerzo en el acero de presfuerzo en el estado de resistencia
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CONCRETO PRESFORZADO :
CONCEPTOS CONCEPTO S GENERALES
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CONCRETO PRESFORZADO :
COMENTARIOS:
•
En el estado de resistencia última a flexión o Rotura, más que un diseño, se debe hacer una verificación de la estructura ya diseñada en la etap etapa a de servicio.
•
El problema es ahora encontrar el “fps” en el momento de la falla,
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CONCRETO PRESFORZADO :
COMP PATIB TIBILI ILIDAD DAD Y EQU EQUILI ILIBRI BRIO O SOLU SO LUCI CIÓN ÓN GE GENE NERA RAL: L: COM CONCEPTOS GENERALES
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CONCRETO PRESFORZADO :
SOLUCION GENERAL PARA ELEMENTOS CON CABLES ADHERIDOS
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CONCRETO PRESFORZADO :
SOLUCION GENERAL PARA ELEMENTOS CON CABLES ADHERIDOS
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CONCRETO PRESFORZADO :
GRAFICA ESFUERZO - DEFORMACION DEL DEL ACERO DE PRESFUERZO
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CONCRETO PRESFORZADO :
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CONCRETO PRESFORZADO :
SOLUCI SOL UCIÓN ÓN APR APROXI OXIMAD MADA A
SEG SE GÚN NOR ORM MA EE-60 60 20 2009 09
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