Name: sizing beams for safe bending loads
Uploaded: 2024-05-23T12:59:46.000Z
Duration: 1 min 23 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Physics

PHYS.2

PHYS.2.D

Design of Prismatic Beams for Bending

El proceso de diseño de vigas prismáticas sometidas a flexión comienza determinando la tensión admisible para el material elegido.
La tensión permitida generalmente se obtiene a partir de una tabla de propiedades del material o especificaciones de diseño. Alternativamente, se puede calcular dividiendo la resistencia máxima del material por un factor de seguridad adecuado.
A continuación, se dibujan los diagramas de fuerza cortante y momento flector correspondientes a las condiciones de carga especificadas.
A continuación, se calcula el valor absoluto máximo del momento flector mediante el diagrama de esfuerzos cortantes.
A continuación, se calcula el módulo de sección mínimo permitido utilizando el valor del momento flector absoluto de la viga y la tensión admisible.
Cuando se diseña una viga de madera, generalmente se especifica la relación que caracteriza la forma de su sección transversal. Las dimensiones desconocidas se identifican utilizando la relación entre las dimensiones de la viga y el módulo de sección.
Al diseñar una viga de acero laminado, se hace referencia a una tabla que contiene las propiedades de la viga de acero laminado, y solo se consideran aquellas secciones de viga con un módulo de sección mayor o igual al módulo de sección mínimo requerido.

diseño de vigas prismáticas para flexión

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 El diseño de vigas prismáticas, elementos estructurales de sección uniforme, se centra en garantizar la seguridad y la integridad estructural bajo carga. El proceso de diseño comienza determinando la tensión permitida, ya sea a partir de tablas de propiedades del material, o dividiendo la resistencia última del material por un factor de seguridad. Este factor de seguridad es esencial para adaptarse a las incertidumbres y varía según el material (madera, acero u hormigón), y cada uno tiene características únicas de resistencia y tensión. Su valor dependerá del material seleccionado y del uso previsto de la estructura.
 
 A continuación, trace diagramas de fuerza cortante y momento flector para visualizar la distribución de carga e identificar los puntos de tensión máxima de flexión. Esta visualización es clave para optimizar las dimensiones de la viga para maximizar la seguridad y eficiencia de la viga.
 
 Finalmente, calcule el módulo de sección mínimo que permitirá que la viga resista el esfuerzo de flexión. Los módulos más altos indican una mayor resistencia. Para vigas de madera, el diseñador especifica una relación de forma de sección transversal que producirá el módulo deseado. Para vigas de acero, el diseñador selecciona secciones preexistentes, asegurándose de que el módulo de la viga supere el mínimo calculado. Esta selección garantiza que la viga pueda soportar fuerzas de flexión, manteniendo la seguridad y estabilidad estructural.
 
 Este enfoque sistemático combina consideraciones de seguridad con análisis de materiales y cargas, asegurando que la viga elegida mantenga la integridad y confiabilidad de la estructura bajo cargas anticipadas, asegurando en última instancia el rendimiento estructural a largo plazo.
 
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Diseño de Vigas Prismáticas para flexión

El proceso de diseño de vigas prismáticas sometidas a flexión comienza determinando la tensión admisible para el material elegido.
La tensión permitida es ...

Education

Educación

JoVE Core

Mechanical Engineering

Ingeniería Mecánica

Unit 1

Unidad 1

Analysis and Design of Beams for Bending

Análisis y diseño de vigas a flexión

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

sizing beams for safe bending loads

Prismatic beams have a uniform cross-section, and their design focuses on safe bending under load. The goal is to keep stress within a level the material can handle while the structure stays strong and stable.

The first step is to find the allowable stress for the chosen material. Designers can use values from material property tables, or they can divide the material's ultimate strength by a safety factor. This safety factor helps account for uncertainty, and its value depends on the material and the intended use of the structure.

Timber, steel, and concrete each have different strength and stress behavior, so the design method depends on the material. After selecting the material, the designer plots shear force and bending moment diagrams. These diagrams show how the load is distributed and help locate the points where bending stress is highest.

The final step is to calculate the minimum section modulus needed to resist bending stress. A higher section modulus means greater resistance to bending. For timber beams, the designer chooses a cross-section shape ratio that gives the needed modulus. For steel beams, the designer selects a standard section whose modulus is at least as large as the calculated minimum. This process helps the beam carry bending forces safely and maintain structural integrity over time.

Sizing Beams for Safe Bending Loads

design of prismatic beams for bending

Prismatic beams have a uniform cross-section, and their design focuses on safe bending under load. The goal is to keep stress within a level the material can handle while the structure stays strong and stable. The first step is to find the allowable stress for the chosen material. Designers can use values from material property tables, or they can divide the material's ultimate strength by a safety factor. This safety factor helps account for uncertainty, and its value depends on the material...

prismatic beams: problem solving

Timber Beam Design Under Distributed Load

Timber beam design under a distributed load uses the beam’s size and the wood’s properties to keep the structure safe. The beam’s length and width are known at the start. The timber’s grade and species also matter because they affect the allowable stress, which is the highest stress the material can safely handle. The first step is to treat the beam as a free body. A free-body diagram shows the forces and moments acting on the beam. From this, the support reactions can be found by balancing...

singularity functions for shear

Beam Shear Diagrams with Macaulay Brackets

Beam shear diagrams can be written with singularity functions when the load changes suddenly along the beam. In structural analysis, these functions help show discontinuous shear force with one mathematical expression, even when the loading is complex. They make it easier to describe how shear changes from one point to the next. The method starts with a free-body diagram of the beam. Then the beam is cut at specific points to check the shear force in each section. For a beam with width W and...

singularity functions for bending moment

Beam Load Modeling with Singularity Functions

Singularity functions help model beam loads and bending moments when the loading changes along the beam. They make it possible to write the bending moment with one mathematical expression instead of separate equations for each section. In this method, Macaulay’s brackets are often used to show where a load starts or stops. For a simply supported beam AB, the load is uniform from the midpoint M to the right support B. To find the bending moment, the beam is cut at different points. A cut...

key terms and concepts

Learn how prismatic beams are sized for bending by finding allowable stress, using shear and moment diagrams, and choosing the right section modulus.

Sizing Beams for Safe Bending Loads | JoVE K12

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Sizing Beams for Safe Bending Loads

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