Deflection in simply supported beam
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This document discusses deflection in simply supported beams. A simply supported beam is supported at both ends but not fixed, allowing it to move vertically but not horizontally. The theoretical deflection of a simply supported beam under a center load can be calculated using the Euler-Bernoulli beam equation, which takes into account the load, length, modulus of elasticity, and moment of inertia. The document compares theoretical deflection values calculated from the equation to practical deflection values measured in experiments.
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Deflection of simply supported beam and cantilever
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This document provides an overview of structural theory and analysis. It discusses different types of structures like beams, trusses, arches, cables, and rigid frames. It also covers structural elements like roof trusses. Loads on structures like dead loads, live loads, wind loads, and earthquake loads are defined. Methods for analyzing statically indeterminate beams and load combinations are introduced. Conversion factors between SI and US customary units for structural analysis are also provided.
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This presentation summarizes axial force on structural members. Axial force is a compressive or tensile force acting along the longitudinal axis of a member. Eccentric loading produces both axial force and bending moment in a member. Examples of axial force include the compressive force on columns supporting a building roof. The nature, effects, and calculation of axial force are discussed. An example problem demonstrates solving for reactions on an axially loaded steel rod using compatibility and equilibrium equations.
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This presentation summarizes axial force and how it relates to structural members. It defines axial force as a force that acts along the longitudinal axis of a member and can put the member in either compression or tension. Eccentric axial loads produce both axial force and bending moment in a member. Examples of structural elements experiencing axial force are given, such as columns supporting a building. Formulas for calculating axial force are presented. The principles of static determinacy, compatibility, and equilibrium are applied to solve an example problem involving axial force in a steel rod.
Ahsanullah university
This presentation summarizes axial force and how it relates to structural members. It defines axial force as a force that acts along the longitudinal axis of a member and can put the member in either compression or tension. Eccentric axial loads produce both axial force and bending moment in a member. Examples of structural elements experiencing axial force are given, such as columns supporting a building. Formulas for calculating axial force are presented. The principles of static determinacy, compatibility, and equilibrium are applied to solve an example problem involving axial force in a steel rod.
Presentation on axial force 10.01.03.063
This presentation summarizes axial force and how it relates to structural members. It defines axial force as a force that tends to elongate or shorten a member, usually measured in pounds, and acts along the longitudinal axis of the member. Examples are given of how axial force acts on columns, beams, shafts, and cylinders. The key concepts of concentric and eccentric loading are explained. Formulas for calculating axial force are provided. The approach of using equilibrium, compatibility, and superposition to solve statically indeterminate problems is described. An example problem demonstrating this approach is shown.
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This presentation summarizes axial force and how it relates to structural members. It defines axial force as a force that acts along the longitudinal axis of a member and can put the member in either compression or tension. Eccentric axial loads produce both axial force and bending moment in a member. Examples of structural elements experiencing axial force are given, such as columns supporting a building. Formulas for calculating axial force are presented. The principles of static determinacy, compatibility, and equilibrium are applied to solve an example problem involving axial force in a steel rod.
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This document summarizes a presentation on axial force given by Md. Shariful Islam to the Department of Civil Engineering at Ahsanullah University of Science & Technology. It defines axial force as a force applied parallel to the centerline of an object. Axial force is determined by factors like width, effective length, and load. It provides examples of compressive and tensile axial forces in columns and beams. The document describes key concepts like concentric and eccentric axial forces, and how axial stress is calculated for compression members and beam elements.
Presentation on axial force
This document summarizes a presentation on axial force given by Md. Shariful Islam to the Department of Civil Engineering at Ahsanullah University of Science & Technology. It defines axial force as a force applied parallel to the centerline of an object. Axial force is determined by factors like width, effective length, and load. It provides examples of compressive and tensile axial forces in columns and beams. The document describes key concepts like concentric and eccentric axial forces, and how axial stress is calculated for compression members and beam elements subjected to forces like axial force, shear force, and bending moment.
Presentation 10.01.03.008
This document summarizes a presentation on axial force given by Md. Shariful Islam to the Department of Civil Engineering at Ahsanullah University of Science & Technology. It defines axial force as a force applied parallel to the centerline of an object. Axial force is determined by factors like width, effective length, and load. It provides examples of compressive and tensile axial forces in columns and beams. The document describes key concepts like concentric and eccentric axial forces, and how axial force relates to stress, strain, and the bending of structural elements.
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Deflection in simply supported beam
- 1. Deflection in simply supported beam
- 2. Key terms Main structural elements of the building • Foundation • Column • Beam • Slab
- 4. Simply supported beams The most common examples of simply supported beams are, bridge girders, post and lintel structure.
- 8. A Comparison – Theoretical and practical deflection value of a beam. Understanding of Simply supported beam and its reaction towards a load (deflection)
- 9. Theoretical deflection- Euler–Bernoulli beam equation Center-loaded simple beams Simply-supported beam with a force in the center The elastic deflection (at the midpoint C) of a beam, loaded at its center, supported by two simple supports. where P = Force acting on the center of the beam L = Length of the beam between the supports E = Modulus of elasticity (a measure of elasticity) I = Area moment of inertia of cross section (geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis.) 𝑭𝒍³ 𝟒𝟖 𝑬 𝑰
- 10. Practical LOAD(g) FORCE (N) Measured Deflection (mm) FL³ FORCE Area Moment of inertia P= Load x gravitational force g I = bh³ / 12 p= load (KG) x 9.81 steel= 207 GN.m̄² Deflection in simply supported beam Young's Modulus E = Beam Material= Distance between supports(L)= Area moment of inertia (I)= Young's Modulus E = Theoretical Deflection 𝑭𝒍³ 𝟒𝟖 𝑬 𝑰