Momento Flector Maximo

Universi dad Tecnológi Universidad ecnológica ca de Campeche

Universidad Tecnológica Tecnológica de Campeche Materia: Sistemas Mecánicos

Tarea: Estructuras

Maestro: Wilberth Hidalgo Arcos

Alumno: Leyva Gómez Irving Aleandro

Grado! "

Grupo! #

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Universi dad Tecnológi Universidad ecnológica ca de Campeche ÍNDICE

MOMENTO FLECTOR MAXIMO......................................2 ESFUERZO FLEXIONANTE............................................4 MOMENTO DE INERCIA.......................... INERCIA...............................................8 .....................8 ESTRUCTURAS CON REMACHES.................................20 ESTRUCTURAS ESTRUCTURAS SOLDADAS........... SOLDADAS........................................22 .............................22

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Universi dad Tecnológi Universidad ecnológica ca de Campeche

MMENT !"ECT# MA$IM El e$uilibrio rotacional de los segmentos de viga estudiados se logra con la a%arición del Momento &lector Ma'a( se)alado en el diagrama de cuer%o libre anterior* +e esta manera este se %uede de,inir de,inir como la sumatoria sumatoria de los momentos momentos de las ,uerzas e-ternas situadas a la iz$uierda o a la derecha de la sección estudiada( considerando $ue el %lano de a%licación de las ,uerzas es ./ 0hoa de %a%el1( y la dirección del momento ,lector es %er%endicular a este( es decir el ee %articular 2

En cuant cuanto o al signo signo del del mome moment nto o ,lec ,lecto torr( es im%o im%ort rtant ante e resal resalta tarr $ue $ue este este no de%ende de su sentido de rotación( tal como sucede con el momento de e$uilibrio( sino más bien de la curvatura $ue su,re la viga %or la a%licación del mismo* +e tal manera $ue una curvatura cóncava hacia arriba se considera %ositiva( lo contrario es negativo* En la siguiente ,igura se ilustra esta convención*

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Universi dad Tecnológi Universidad ecnológica ca de Campeche Los momentos ,lectores %ositivos generan tracción o alargamiento en las ,ibras in,eriores de la viga y com%resión o acortamiento en las su%eriores( los negativos %roducen lo contrario( como se muestra en la %arte su%erior de la ,igura anterior*

En los grá,icos in,eriores( de la ,igura anterior( se muestra el e,ecto de ,uerzas individuales y el sentido de curvatura de la viga( considerando un em%otramiento imaginario en la sección a'a*

Calcular momento de %le&ión m'&imo #alcular el es,uerzo cortante má-imo( el momento ,lector má-imo y la má-ima de,ormación del siguiente su%uesto( deando este 3ltimo valor en ,unción de E4I*

5ara resolver el %roblema utilizaremos la su%er%osición de los siguientes casos sim%les!

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Universi dad Tecnológi Universidad ecnológica ca de Campeche Sumamos las e-%resiones obtenidas en ambos casos( teniendo en cuenta la e-istencia e-istencia de dos tramos( uno desde el a%oyo dorsal hasta el %unto de a%licación a%licación de la carga %untual 0tramo A#1 y otro desde este %unto hasta el a%oyo ,rontal 0tramo #61*

5ara determinar el má-imo momento ,lector( derivamos ambas e-%resiones e igualamos a cero!

El %rimer valor obtenido no tiene signi,icado ,7sico( %ues el %unto de abcisa -89 no %ertenece %ertenece al intervalo intervalo A#* 5or consiguiente( consiguiente( el má-imo momento momento ,lector ,lector se da en la sección de la viga distante :*; m del a%oyo dorsal* El valor de este momento má-imo es!

E)!UE#* !"E$INANTE+ Se denomi denomina na moment momento o ,lecto ,lectorr 0o tambi< tambi